**Answer:**

x=-6, y=0

**Step-by-step explanation:**

Use the 3x-9y=-18 equation and add 9y to both sides to have 3x on its own on the left side. Then, divide by 3 on both sides. Then you'll have x=-6+3y. Plus this back into the 5x+4y=-30 equation and you'll get 5(-6+3y)+4y=-30. Use the distributive property and you'll get -30+15y+4y=-30. Simplify and get -30+19y=-30, then add 30 to both sides and you'll get 19y=0. Divide by 19 on both sides and you'll get y=0. Now that we know y=0, plug that back into the 5x+4y=-30 equation, and you'll get 5x+4(0)=-30. Simplify and you'll get 5x=-30. Divide by 5 on both sides and you'll get x=-6.

What is a possible factor of xÂ³ 6xÂ² 11x 6?

Therefore , the solution to the given problem of the **equation whose factors** are (x+2)(x+1)(x+3).

**Describe equation.**

Two **expressions** joined by an equal sign form a **mathematical statement** known as an **equation**.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

**According to the Given question:**

x³ + 6x² + 11x +6

This pattern of coefficients 1, 6, 11, 6 is actually one that you are likely to encounter frequently.

For demonstration reasons, let's see what occurs if we begin by using the typical technique for resolving a general cubic:

We can use a linear substitution, t = x + b/3a, to simplify any cubic of the form ax3 + bx2 + cx + d, resulting in a cubic in the form a + b + et + f without a quadratic term.

This is the most straightforward type of Tschirnhaus transformation.

In our example, a = 1 and b = 6, so we want t = x + 2.

Note that:

= + 6+ 12x +8

So we find:

+ 6+ 11x +6 = − (x + 2)

= - t

= t ( - 1)

= t(t − 1)(t + 1)

= (x+2)(x+1)(x+3)

Therefore , the solution to the given problem of the equation whose factors are (x+2)(x+1)(x+3).

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What does a standard deviation of 35 mean?

As the standard deviation 35 is **high **so the values are far from the mean.

In the statistics, standard deviation is an estimation that implies how far each available data apart from mean value. In a word, it is a measure of **variances** of data in relation to the mean. A low standard deviation indicates that values are closer to mean value and high standard deviation indicates the values are distributed widely.

Standard deviation of a given data set 35 means that all data set are 35 unit far from the mean value. As the value is high so all the values are dispersed widely relative to the mean value.

In the other hand, this high standard deviation implies there are enough variances in the given data in relation to the mean.

Standard deviation is one of the measures of risk assessment. Imagine an organization published a number of statistical observation data. If we find a high standard deviation, then it will be high risk of collapse of the business.

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-X+4=67

-4Z-9=67

-7Y-10=67

**Answer:**

the answer is 20

**Step-by-step explanation:**

**20+0=20**

What are 3 examples inequality?

Not fairness treated differently being separated from others by other’s opinions

what is a polynomial function in standard form with zeros 1,2,-2 and -3

The **standard** form of the **polynomial function** with **zeroes** 1, 2, -2, and -3 is

[tex]x^4[/tex] + 2x³ - 7x² - 8x + 12 = 0.

What is a polynomial?**Polynomial** is an **equation** written as the **sum** of terms of the **form** kx^n.

where k and n are **positive** integers.

We have,

The **zeroes** of a **polynomial**:

x = 1, 2, -2, and -3.

This can be written as,

(x - 1)(x - 2)(x + 2)(x + 3) = 0

**Simplify** to get the equation.

(x² - 2x - x + 2)(x² + 3x + 2x + 6) = 0

(x² - 3x + 2)(x² + 5x + 6) = 0

[tex]x^4[/tex] + 5x³ + 6x² - 3x³ - 15x² - 18x + 2x² + 10x + 12 = 0

[tex]x^4[/tex] + 2x³ - 7x² - 8x + 12 = 0

Thus,

The **equation** of the **polynomial** is [tex]x^4[/tex] + 2x³ - 7x² - 8x + 12 = 0.

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Why we need to clean the measuring instrument before and after use?

Conscientiously cleaning your devices is crucial, as any **residue** that remains on your device **may impact **the accuracy of your **measurements**. The material your device is made of plays a significant role in the cleaning method you should use.

A tool used to measure a** physical amount** is called a measuring instrument. **Measurement** is the process of gathering and comparing physical quantities of actual things and events in the physical sciences, quality control, and engineering.

The process of** measuring yields** a number associating the subject under study and the referenced unit of measurement, and established standard objects and occurrences are employed as units. These **numerical relations **are acquired using measuring devices and rigorous test procedures that specify the instrument's use.

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1

Which expression is equivalent to (5³)⁹?

A 53+9

B 53x9

©5³ +5⁹

5³ x 5⁹

**Answer: **(D) 5³ * 5⁹.

**Step-by-step explanation:**

The expression (5³)⁹ is the same as 5³ * 5³ * 5³ * 5³ * 5³ * 5³ * 5³ * 5³ * 5³, which can be simplified to 5^9 * 5^9 * 5^9 * 5^9 * 5^9 * 5^9 * 5^9 * 5^9 * 5^9. The only expression from the options above that is equivalent to this is 5³ * 5⁹, so the correct answer is (D) 5³ * 5⁹.

A baketball player attemptd 15 baket in a game he make 9 which ratio decribe the number of baket the player made to the number of baket the playerd attempted

The **ratio **that describes the number of baskets the player made to the number of baskets the player attempted is 9:15. This can be **simplified **to 3:5.

The **ratio** of the number of baskets made by the player to the number of baskets attempted is 9/15. This ratio can be **simplified **to 3/5, which means that for every 5 baskets **attempted**, the player made 3 baskets. This ratio can also be expressed as a **percentage** by dividing the number of baskets made by the number of baskets attempted and multiplying the result by 100%. In this case, the **percentage **of baskets made by the player is 60% (9 baskets made / 15 baskets attempted * 100% = 60%). This means that out of every 100 **baskets** attempted by the player, he made 60 baskets.

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Renting a roller rink for your birthday costs $250 plus $10 per person. The total charge

for your party was $400. Translate this information into an equation using a to

represent the number of guests at your party.

Using your equation, determine how many people attended your party.

**Answer:**

15 people attended the party

the equation would be 250+10x=400

250 for renting the space and 10 per person and x represents the amount of people and 400 was the total with the rent and the cost for the total amount of people

step by step of solving that would be

250+10x=400

-250 -250

10x=150

10/10 150/10

x=15

so there were 15 people at the party

250 for renting the space and 10 per person and x represents the amount of people and 400 was the total with the rent and the cost for the total amount of people

step by step of solving that would be

250+10x=400

-250 -250

10x=150

10/10 150/10

x=15

so there were 15 people at the party

How many zeros can the polynomial 2xÂ² 3x 4 have?

There are two zeros of the **polynomial **2x²-3x+4.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the **operations **of addition, subtraction, multiplication, and positive-integer powers of variables

The given **polynomial** is 2x²-3x+4.

Two times of x square minus three times of x plus four.

2x²-3x+4=0

We find the roots by using **quadratic equation** formula.

x=-b±√b²-4ac/2a

a=2, b=-3, c=4

x=3±√9-4(8)/4

x=3±i√23/4

So the **roots **are x=3+i√23/4 and x=3-i√23/4.

A polynomial of degree 2 can have 2 real **zeros**, 1 real zero, or no real zeros

Hence, there are two zeros of the **polynomial **2x²-3x+4.

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Which property states that the sum of any two whole number is always a whole number?

The **closure property** of the whole number states that "**Addition and multiplication** of two whole numbers is always a whole number."

**What is Property of Closure ?**

A set has the closure property only under a particular operation which is if the result of the operation is always an element in the set. When a set has the closure property under a particular operation, then we say that the set is “**closed under the operation**.”

a)The set of **integers** is closed under the operation of **addition** because the sum of any two integers is always another integer and is therefore in the set of integers.

b) The set of integers is not closed under the operation of **division** because when you divide one integer by another, you don’t always get another integer as the answer. For example, 4 and 9 are both integers, but 4 ÷ 9 = 4/9. 4/9 is not an integer, so it is not in the set of integers!

Hence , the **closure property** of the whole number states that "Addition and multiplication of two whole numbers is always a whole number.

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What is value of expression example?

An example **of** value of **expression** is **5 × 2a**.

In the field of mathematics, a value of an expression can be described as such an expression that includes two or more two mathematical numbers. Apart from the numbers, one or more than one mathematical operation is also a part of the value of the expression.

In the** example**, 5×2a, 5 and 2 are the two mathematical numbers and multiplication (×) is the mathematical operation. Hence, the expression 5×2a serves as an appropriate example of the **value** of expression in the field of mathematics.

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What is mode 2 2 3 3 4 4 5 5 6 6 is?

The given **data **(2, 2, 3, 3, 4, 4, 5, 5, 6, 6) has **no mode.**

A mode is defined as the value that has the **highest frequency** in a given **set of values**. It is the value that appears the most number of times.

In **statistics**, the value that consistently appears in a particular collection is referred to as the mode. The mode or modal value in a data collection is sometimes referred to as the value or number that occurs most frequently in the data set. In addition, to mean and median, it is one of the three measures of** central tendency.**

The mode is the value that occurs the **most often** in a given set of data.

Given data: 2, 2, 3, 3, 4, 4, 5, 5, 6, 6.

In the given **observations,** data is repeated an **equal number **of times.

So, the given data has no mode.

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Ruth ha 12 roll at her bakery. She receive an online order for 60 roll. Ruth bake roll in batche of 24. Select the equation that repreent the given ituation and find the number of batche Ruth need to make to complete the order

the equation that represents the given **situation** is 12x + 24 = 60 and the number of batches **Ruth** needs to make to complete the order is** 2 batches**

The issue can be approached from the reverse. She already has **12 rolls**, so take that out of the total. 48 will result from this. The "x" would then indicate how many more **batches **of 24 she needs to make in order to reach that 48 because she manufactures rolls in batches of 24. She would bake two additional batches to get 60 because 48 divided by 24 is equal to 2. If you put this concept into an** equation**, you get 24x + 12 = 60; 2 batches

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if quadrilateral abcd is rotated 90° clockwise about point a and then reflected across the y-axis to create quadrilateral a’b’c’d’, what will be the coordinate of d’?

According to the 90° clockwise **rotation**, the new coordinate of the quadrilateral D' is (3, -2)

Quadrilateral

Quadrilateral refers a closed **shape **and a type of polygon that has four sides, four vertices and four angles.

Given,

If quadrilateral ABCD is rotated 90° clockwise about point A and then **reflected **across the y-axis to create quadrilateral A’B’C’D’.

Here we need to find the coordinate of D'.

In order to find the new coordinates, first we have to identify the current coordinates of the quadrilateral.

While we looking into the graph, we have identify the point of

A (0,0), B(-4, 3), C(1,5) and D(2,3)

Now, we have to use the rule of clockwise 90° rotation, states that to rotate the figure 90 degrees clockwise about a point, every point(x , y) will rotate to (y, -x).

According to this rule, the new **coordinates **are written as,

A(0,0) = A'(0,0)

B'(-4,3) = B'(-3,-4)

C(1,5) = C'(5, -1)

D(2,3) = D' (3, -2)

Therefore, the new coordinate of D' is (3, -2).

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What is the value of 5x25 âˆ’ 3x32 2x âˆ’ 12 at x 1?

The value of the given** expression** 5x²⁵ - 3x³² + 2x - 12 at x = 1 is -8.

The given expression is:

5x²⁵ - 3x³² + 2x - 12

To evaluate the value at x=1.

Substitute x = 1 in the given expression.

= 5(1)²⁵ - 3(1)³² + 2(1) - 12

Simplify:

= 5 - 3 + 2 - 12

= -8

Therefore, the **value** of the given expression at x = 1 is -8.

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The correct question is-

What is the value of 5x²⁵ - 3x³² + 2x - 12 at x=1?

Eric rides his bike 4 1/3 hours during the week. His little brother rides his bike 1 3/4 hours during the week. How many more hours does Eric ride his bike during the week than his little brother? Enter your answer as a mixed number in simplest form by filling in the boxes.

The answer would be 2 7/12 (two and seven twelfths (seven over twelve))

can anyone help me.

**Answer:**

Solution:

Given,

Ratio of photo to to the photo frame=2:3

Length of photo frame=36cm

= 36÷3

=13

then,

Length of photo = 13 ×2

= 26cm

**Step-by-step explanation:**

Therefore,the length of the photo is 26cm

How do you copy a formula in Excel?

To see the **steps** of **copy** and paste a **formula.**

Now, According to the question:

Here's how you **copy** and paste a formula:

1. Select the cell with the **formula** you want to copy.

2. Press. + C.

3. Click the cell where you want to paste the formula.

4. To quickly **paste** the formula with its formatting, press + V.

5. Clicking the arrow gives you a list of options.

Let's know to more:

How do I apply the same formula to **multiple** cells in **Excel**?

Fill formulas into **adjacent** cells

1. Select the cell with the formula and the adjacent cells you want to fill.

2. Click Home > Fill, and choose either **Down**, Right, Up, or Left. Keyboard shortcut: You can also press Ctrl+D to fill the formula down in a column, or Ctrl+R to fill the formula to the right in a row.

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The meaure of the exterior angle of a quadrilateral are x°x°, 2x°2x°, 4x°4x°, and 5x°5x°. Find the meaure of the mallet exterior angle

The meaure of the **smallest exterior angle** among the four exterior angles of a **quadrilateral** are x°,2x°, 4x°, and 5x° is x = 30° .

The angle formed between one side of a polygon and another **line segment **extending from the **adjacent side** is called the exterior angle of the polygon.

We have, quadrilateral with exterior angles x° , 2x° , 4x° and 5x° .

As we discuss, the sum of exterior angles of quadrilateral (polygon of **four** **sides**) = 360°

=> x° + 2x° + 4x° + 5x° = 360°

Adding all x values on left hand side,

=] 12x° = 360°

=> x = 360/12 = 30°

Now, the smallest exterior angle of quadrilateral is x° , so it's measure is 30°.

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Which formula can be used to find the nth term of the geometric sequence 1/6,1,6,36?

**Answer:**

[tex]a_n = \frac{1}{6}(6)^{n-1}[/tex]

**Step-by-step explanation:**

⭐**What is the formula of a geometric sequence/progression?**

We are given the geometric sequence.

Thus, we need to find the first term and the common ratio, and substitute those values into the geometric sequence formula.

The first term is [tex]\frac{1}{6}[/tex]

⭐**How do we find the common ratio?**

I am choosing **term 1 and term 2**, but you can choose any other 2 terms that are consecutive.

term 1 = [tex]\frac{1}{6}[/tex]

term 2 = [tex]1[/tex]

[tex]\frac{term2}{term1} = \frac{1}{\frac{1}{6}}[/tex]

[tex]\frac{term2}{term1} = 6[/tex]

**∴ The common ratio of this sequence is 6.**

Now, substitute these values (common ratio & first term) into the geometric sequence equation.

[tex]a_n = \frac{1}{6}(6)^{n-1}[/tex]

The parent function of the function g(x)=(x-h)² + kis f(x)=2. The vertex of the function g(x) is located at (9.-

8). What are the values of h and k?

g(x)=(x-____)^2+______

**Answer:**

*h = ***9**

*k = ***-8**

**Step-by-step explanation:**

⭐ [tex]g(x) = (x-h)^2 + k[/tex] is already written in vertex form.

⭐ Vertex form: [tex]f(x) = a(x-h)^2 +k[/tex], where the vertex is (**-(-h)**, **k**)

We are already given the vertex (9,-8), so we have to substitute these numbers into g(x).

[tex]g(x) = (x-9)^2 -8[/tex]

The **equation **of **parabola **is solved and the values of h and k are 9 and -8 respectively

A **Parabola**, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the **parabola **is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The **equation **of the **parabola **is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

The **vertex **form of a **parabola **function is given by:

g(x) = a(x - h)² + k

where (h, k) is the vertex.

In this case, we are given that:

g(x) = (x - h)² + k

And the **vertex **is located at (9, -8)

So we have:

h = 9

k = -8

Therefore, the **function **g(x) can be written as:

g ( x ) = ( x - 9 )² - 8

Hence , the **equation **of **parabola **is g ( x ) = ( x - 9 )² - 8

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The union of two sets is a set that contains only the elements that appear in both sets

a. True

b. False

False i am pretty sure

The **union **of two sets is to avoid **counting **the same elements twice.

What is set?

The **mathematical **logic subfield of set theory investigates **sets**, which can be loosely defined as **collections **of objects. Although any object can be combined into a set, set theory, as a mathematical **discipline**, focuses primarily on those that are relevant to **mathematics **as a whole.

Given **union **of set

(A ∪ B),

The set of all objects that are **members **of either A or B, or both, is the union of the **sets **A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪ {3, 4, 5, 6, 7}

we can **simply **write all of A and B's **elements **in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the **union **of two sets is a set that contains all the elements of both set and avoid **duplicates**.

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Which exponential function has a growth factor of 5?

So, an **exponential function** with a growth factor of 5 is of the form y = a * 5^x, where a is a constant **coefficient**.

An exponential **function** of the form y = a * b^x has a **growth factor** of b. Therefore, an exponential function with a growth factor of 5 is of the form y = a * 5^x, where a is a constant coefficient.

For example, if a = 2, then the function y = 2 * 5^x has a growth factor of 5.

Here is a table showing the **values** of y for some values of x:

**x ** **y**

0 2

1 10

2 50

3 250

4 1250

As x **increases**, the values of y increase **exponentially** at a **rate **determined by the growth factor of 5.

Therefore, an exponential function with a **growth factor **of 5 is of the form y = a * 5^x, where a is a constant coefficient.

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For example, if a = 2, then the function y = 2 * 5^x has a growth factor of 5.

Here is a table showing the values of y for some values of x:

x y

0 2

1 10

2 50

3 250

4 1250

As x increases, the values of y increase exponentially at a rate determined by the growth factor of 5.

Therefore, an exponential function with a growth factor of 5 is of the form y = a * 5^x, where a is a constant coefficient.

What is the y-intercept of 5x 4y =- 12?

The **y-intercept** of the equation 5x-4y = -12 is 3.

In mathematics, a line's **slope**, also known as its gradient, is a numerical representation of the **line's **steepness and direction.

If a line **passes** through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the **slope**;

m = (y₂- y₁) / (x₂ - x₁)

We have the **equation**:

5x-4y = -12

To find the **y-intercept**:

First, we have to **simplify **the equation as subject to y.

5x-4y = -12

4y = 5x+ 12

y = (5/4)x+12/4

y = (5/4)x + 3

Now, we know the **slope-intercept** form:

y = mx+b,

where m is the **slope** and b is the y-intercept.

Comparing, both the **equation**,

b = 3

3 is the y-intercept.

Therefore, **y-intercept** is 3.

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Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council’s GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the GMAT?HOW HIGH MUST AN INDIVIDUAL SCORE ON THE G-MAT IN ORDER TO BE THE HIGHEST 5%

The **probability **of an individual **scoring above **500 on the GMAT is 0.5984.

An example of a continuous probability distribution is the normal distribution, in which the **majority **of** data **points **cluster **in the **middle **of the range while the remaining **ones **taper off symmetrically toward either **extreme**. The distribution's mean is another name for the centre of the range.

Given:

[tex]\mu[/tex] = 527

[tex]\sigma[/tex] = 112

Now, z= (500-527)/112

z= -27/112

z= -0.2410

and, P( X>500)= P(z> -0.2401)

= 1- 0.4052

= 0.5984

Hence, the **probability** of an individual **scoring **above 500 on the GMAT is 0.5984.

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x and y are integers.

y>_2

x+y≤4

y≤ 2x + 2

Mark on the grid all the points

that fulfill all three inequalities.

The common region for all the** inequalities** y ≥ 2, y ≤ 2x + 2and x + y ≤ 4 is represented by ΔABC (the last graph).

**What is an inequality?**

"It is a statement which consists of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two **mathematical expressions**."

For given question,

We have been given three inequalities

y ≥ 2 ,

x + y ≤ 4 ,

y ≤ 2x + 2

If we draw the graph of these three inequalities then the common region represents the all the points that fulfill all three inequalities.

An **inequality** y ≥ 2 represents all the points on and above the line y = 2

An inequality x + y ≤ 4 represents all the points on and below the line x + y = 4

An inequality y ≤ 2x + 2 represents all the **points** on and below the line y = 2x + 2

Consider the following graphs.

The first **graph **represents the points which fulfill the inequality y ≥ 2

The graph for an inequality x + y ≤ 4 is represented by the shaded blue region.

The graph for an inequality y ≤ 2x + 2 is represented by the shaded green region.

The common region for all the inequalities is represented by ΔABC

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Guys, can you help me with my homework?

Using **two column proof**, we have been able to show that ΔABE is congruent to ΔCDE via SAS Congruency Postulate.

We are given certain statements of the given triangle and we want to get a flowchart of a proof which is a **two column proof.** Thus;

Statement 1; CD = AB

Reason 1; Given

Statement 2; BE = DE

Reason 2; AC is the **segment bisector** of BD

Statement 3; ∠ABE = ∠CDE

Reason 3; **Alternate angles theorem**

Statement 4; ΔABE ≅ ΔCDE

Reason 4; **SAS Congruency Postulate**

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Can anyone please help me with this question?

Question: If α and β are the roots of 4x^2 + 3x + 7 = 0, find the value of 1/ α + 1/ β

The** numeric value **of the **expression **1/α + 1/β is given as follows:

-3/7.

How to obtain the numeric value of the expression?The quadratic **function **in this problem is given as follows:

4x² + 3x + 7 = 0.

The **coefficients **of the quadratic function are given as follows:

a = 4, b = 3, c = 7.

The **sum **of the roots is given as follows:

α + β = -b/a.

Hence:

α + β = -3/4

The **product **of the roots is given as follows

αβ = c/a

Hence:

αβ =7/4.

These values are used to obtain the **numeric value** of the expression, as follows:

1/α + 1/β = (α + β)/αβ = (-3/4)/(7/4) = -3/7.

(the least common multiple of α and β is αβ, and then the least common factor is used to solve the expression).

More can be learned about **sum and product of roots** at https://brainly.com/question/2196172

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Is 9 by 16 equal to 5 by 9 yes or no?

**Answer:**

No

**Step-by-step explanation:**

9/16 and 5/9 have a common factor is 144

So, we have

81/144 and 80/144

So, 9/16 > 5/9

**Answer:**

**Step-by-step explanation:**

no they are not equal, NO

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