Factor the polynomial completely

**Answer:**

The answer is

[tex] {(5y - 9)}^{2} [/tex]

**Step-by-step explanation:**

factor

[tex] {(25y }^{2} - 90y + 81)[/tex]

get the GCF of 25,-90,81=1

get the square root of leading terms

[tex] \sqrt{25 {y }^{2} } = 5y \: and \: \sqrt{81} = 9[/tex]

the final answer is

[tex] {(5y -9) }^{2} [/tex]

pls help asap Noor’s family is meeting her grandparents at a restaurant. The restaurant is 24.5 miles from Noor’s house. This is 65.5% of the distance from Noor’s house to her grandparents’ house. What is the distance between the two houses? Round your answer to the nearest tenth of a mile.

The **distance** between Noor's house and her grandparent's house is 37.40 miles or if rounded off to the nearest tenth, it will be 40 miles using the **estimation **concept.

As per the question statement, Noor’s family is meeting her grandparents at a restaurant and the restaurant is 24.5 miles from Noor’s house but this is 65.5% of the distance from Noor’s house to her grandparents’ house.

We are supposed to find the **distance** between Noor's house and her grandparent's house. We will use the concept of **estimation.**

**Distance** between Noor's house and restaurant = 24.5 miles

Let **distance** between Noor's house and her grandparent's house be "x" miles.

So the distance between grandparent's house and restaurant = x - 24.5

Now it is given that 24.5 miles is 65.5% of the distance from Noor’s house to her grandparents’ house.

So, 65.5% of x = 24.5

(65.5*x)/100 = 24.5

65.5*x = 2450

x = 2450 / 65.5

x = 37.40 miles

If rounded off to the nearest tenth mile, we get

x = 40 miles.

So, the distance between Noor's house and her grandparent's house is 37.40 miles or if rounded off to the nearest tenth, it will be 40 miles.

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3x³+28=220 thanks for the help!

the answer to tuis problem is x=4.

PLS TELL ME ASAPPPPP

It should be the 3rd one

In the figure shown at right, the area of the large rectangle is (5x)(8x+1) and the area of the small rectangle is (4x)(2x) which of the following expression represents the area of the shaded region?

Given:

Area of large rectangle = (8x + 1)(5x)

Area of small rectangle = (4x)(2x)

To find area of the shaded region, subtract the area of the small rectangle from the large rectangle.

We have:

Area of large rectangle =

[tex]\begin{gathered} (8x+1)(5x) \\ \\ =8x(5x)+1(5x) \\ \\ =40x^2+5x \end{gathered}[/tex]Area of small rectangle =

[tex]\begin{gathered} (4x)(2x) \\ \\ =8x^2 \end{gathered}[/tex]Area of shaded region =

[tex]\begin{gathered} (40x^2+5x)-(8x^2) \\ \\ 40x^2+5x-8x^2 \\ \\ \text{Combine like terms:} \\ 40x^2-8x^2+5x \\ \\ =32x^2+5x \end{gathered}[/tex]Therefore, the area of the shaded region is = **32x² + 5x**

**ANSWER:**

Examine graphs A and B. What do you notice about the difference between the Y axis for the good graph A and the Poot graph B? How is a break shown on the Y axis of graph A

**Answer**:

*The well-desgined graph has an appropriate scale for the y-axis.* By appropriate we mean that the scale is such that all points on the graph can be discerned easily. In other words, the scale is not too wide or too narrow.

For graph A, the scale is such that the data points are at such a distance from each other that their values can be easily read off. On the other hand, for graph B, there isn't enough vertical distance between the data points for them to be easily read.

What is an equation of a line, in point-slope form, that passes through (1, - 7) and has a slope of -2/3?

**Answer:**

A

**Step-by-step explanation:**

Mia made at least one mistake when

simplifying the expression below. The steps she took are shown.

Step 1:

Step 2:

Step 3:

In which step did Mia make her first mistake?

Choose one option from each drop-down menu to answer the questions

Mia made a mistake in Choose. She simplified the Choose

Choose

incorrectly She should have

Using** properties of exponents**, it is found that Mia's first mistake is described as follows:

Mia made a mistake in Step 3. She simplified the exponents 16 and -8 incorrectly. She should have subtracted them.

Which properties of exponents are used in this problem?When two terms with the same base and different exponents are **multiplied**, we keep the base and add the exponents, as follows:

3^0 x 3^(16) = 3^(0 + 16) = 3^16.

Hence the Step 1 is correct.

For the **power of power** rule, we keep the base and multiply the exponents, hence:

(3^(-4))² = 3^(-4 x 2) = 3^(-8).

Hence the Step 2 is correct.

When two terms with the same base and different exponents are **divided**, we keep the base and subtract the exponents, as follows:

3^16/(3^(-8)) = 3^(16 - (-8)) = 3^(16 + 8) = 24.

Which is Mia's **mistake**, as she **did not subtract** the exponents.

The steps are missing and are given by the image at the end of the answer.

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Find WI if IE = 3

EW and YG are medians of XYW

Based on the definition of the **median** and applying the **centroid theorem**, the length of WI is calculated as: 6 units.

The line that joins the vertex of a triangle to the midpoint of the side it is directly opposite is called the **median** of a triangle.

**Medians** intersect each other at a point inside the triangle that is called the **centroid**. Based on the **centroid** **theorem**, since J is the **centroid** of triangle XYW, then:

the length of IE is one-third of the length of segment EW (referring to the image given in the question that shows triangle XYW)

Thus, we have the equation that relates the length of the segments as shown below:

IE = 1/3(EW)

Given that:

IE = 3 units

Substitute the value of IE into the equation:

3 = 1/3(EW)

3(3) = EW

9 = EW

EW = 9 units

Therefore:

Length of WI = the length of EW - the length of IE

Substitute

Length of WI = 9 - 3

Length of WI = 6 units.

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Simplify the expressions:

a. (7x²+ 2) + (2x² +3) =

b. (5x + 2) + (8x +3) =

c. (5x)(8x +3) =

**Answer:**

a. (7x²+2) + (2x²+3)

= 9x² + 5

b. (5x + 2) + (8x + 3)

= 13x +5

c. (5x)(8x + 3)

= 40x² + 15x

Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play. One board was 6 feet long, and the other was 5

1

2

feet long. The two pieces of plywood had equal widths. The total area of the stage was 66

1

8

square feet. What was the width of the plywood?

The width of the plywood = **23/8 ft**

The two rectangular pieces of plywood had equal widths.

The** length** of first rectangular piece = 6 ft

The **length **of second rectangular piece = 5 1/2 ft = 11/2 ft

The two pieces are joined to make a single rectangular stage.

Then the** total length** of the stage = 6 + 11/2 = 23/2 ft

Now** area** of the rectangular stage = 66 1/8 = 529/8 square feet.

⇒ length x width = 529/8

⇒ 23/2 x width = 529/8

⇒ **width** = 529/8 x 2/23 = 23/4 ft

Let 'x' be the **width** of a rectangular plywood.

Then 2x = **width** of the stage

⇒ 2x = 23/4

⇒ x = 23/8 ft

Hence **width **of the plywood = **23/8 ft**

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A fair number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled

a. What is the probability of getting an even number?

b. What is the probability of getting a factor of 6?

The **probability **of getting an even number is 1/2 while the probability of getting a factor of 6 is 1/6

The probability of an even number

From the question, the **sample space **of the **number** **cube** is given as

Space = 1, 2, 3, 4, 5, and 6

The above means that

Sample size, n = 6 ---- i.e. the number of observations

Number of even numbers, x = 3

The **probability **of getting an **even number **is then calculated as

P(Even) = Number of even numbers/Sample size

This gives

P(Even) = 3/6 = 1/2

The probability of a factor of 6

From the question, the **sample space **of the **number** **cube** is given as

Space = 1, 2, 3, 4, 5, and 6

The above means that

Sample size, n = 6 ---- i.e. the number of observations

Number of factor of 6, x = 1

The **probability **of getting a **factor **of 6 is then calculated as

P(factor) = Number of factor of 6/Sample size

This gives

P(factor) = 1/6

Hence, the **probability **is 1/2 and 1/6

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Instructions: Determine whether the graph is a correct representation of the given inequality. If there is an error, select which error is present.

**The given inequality is,**

**The graph of the inequality will be shown below**

Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of the angles formed is 72degrees, what are the measures of the other three angles? Explain your answer. (15 points and brainliest)

72, 108, and 108 are the other** three angles** formed by the two straight lengths of** wire**.

For the given question.

Two **straight lengths** of **wire** are put on the ground, to form vertical angles.

Because vertical angles have always been** congruent,** 72 is the vertical angle to 72.

Because the line is straight, the answer is 180.

180 - 73 equal 108. (supplement angles)

Because they are both vertical angles, there are two 180s.

Thus, the **three angles** formed are 72, 180 and 180 degrees.

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Which of the following statements is the best description of a survey?

A survey is a list of questions used to acquire customer feedback.

A survey is a study that collects data on every subject in sample.

A survey always collects categorical data.

A survey is a kind of convenience sample.

**Answer:**

I believe it's " a study that collects data on every subject in sample"

What is the slope of the line that passes through the points (3, -3)(3,−3) and (18, -3)(18,−3)? Write your answer in simplest form.

**Answer:**

0 (its a straight line horizontal)

**Step-by-step explanation:**

-3+3=0

18-3=15

0/15 = 0

slope=0

True or False

Corresponding angles must be proportional.

O True

O False

True :)))))))))))))))

**Answer:**

True

**Step-by-step explanation:**

Matching sides of two or more polygons are titled corresponding sides,and matching angles are titled corresponding angles . If two figures are lookalike,then the measures of the corresponding angles are similar and the ratios of the lengths of the corresponding sides are proportional .

3x-(2x+10) for x= 7 5/13

The result of** the expression **3x-(2x+10) for x = [tex]7\frac{5}{13}[/tex] is -2.61

The expression is

3x-(2x+10)

The expression is the mathematical sentence with a minimum of two variables and at least one math operation.

The value of the x = [tex]7\frac{5}{13}[/tex]

Convert the **mixed fraction** to the simple fraction

[tex]7\frac{5}{13}[/tex] = 96/13

Convert the simple fraction to the** decimal form**

96/13 = 7.39

Substitute the value of x in the given expression 3x - (2x + 10)

= 3 × 7.39 - (2×7.39 + 10)

**Multiply **the terms first

= 22.17 - (14.78 + 10)

= 22.17 - (24.78)

= -2.61

Hence, the result of the expression 3x-(2x+10) for x = [tex]7\frac{5}{13}[/tex] is -2.61

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prove that: [tex](a+b)^-^1.(a^-^1 +b^-^1) = (ab)^-^1[/tex]

**Answer:**

See below

**Step-by-step explanation:**

[tex]\frac{1}{a+b}[/tex] ([tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex])

[tex]\frac{1}{a+b}[/tex] ([tex]\frac{b}{ab}[/tex] + [tex]\frac{a}{ab}[/tex])

[tex]\frac{1}{a+b}[/tex] ([tex]\frac{b+a}{ab}[/tex])

[tex]\frac{(a+b)}{(a+b)(ab)}[/tex]

[tex]\frac{1}{ab}[/tex]

[tex]ab^{-1}[/tex]

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Aisha went shopping for a new pair of sneakers. The listed price of the pair of

sneakers was $43, but the price with tax came to $44.29. Find the percent sales tax.

The percen**t sales tax** of the purchase is 3 %.

A **sales tax** is a consumption tax imposed by the government on the sale of goods and services.

She went shopping for a new pair of sneakers.

The listed price of the pair of sneakers was $43, but the price with **tax** came to $44.29.

Therefore, the percent **sales tax** can be found as follows:

**sales tax** = 44.29 - 43

**sales tax** = $1.29

Therefore,

percent **sale tax** = sale tax / cost with tax × 100

percent **sale tax** = 1.29 / 43 × 100

percent **sale tax** = 129 / 43

Therefore,

percent **sale tax** = 3%

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Drag each statement to show whether it is true, based on the graph.

The price per one pound of almonds equal** $2.20/0.65 lb**

0.65 pounds of almonds cost** $2.20**

Verify each case

case 1) The price per one pound of almonds equal $2.20/0.65 lb

The statement is true

To find the price per one pound calculate the unit rate

So,

$2.20/0.65 lb=$3.38 per one pound

case 2) 2.2 pounds of almonds cost $0.65

The statement is not True

The correct is 0.65 pounds of almonds cost $2.2

case 3) Each bag of almonds weighs 2.2 pounds

Cannot be determined

In the problem there is no information about how much each bag of almonds weighs

case 4) 0.65 pounds of almonds cost $2.20

The statement is True

The point (0.65,2.20) lie to the line of the the graph.

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what is the rewritten answer to solve for the variable? solve 4x-2y=14 for y

Answer:

y=-7+2x

Explain:

Move ‘y’to the left

-2y=14+5x

Divide by -2

-2y=14+4x/-2

y=-7+2x

y=-7+2x

Explain:

Move ‘y’to the left

-2y=14+5x

Divide by -2

-2y=14+4x/-2

y=-7+2x

I need help with this for my class

I’m not 100% positive

but I believe that they relations are not functions because the line hits the graph at one or more spots.

but I believe that they relations are not functions because the line hits the graph at one or more spots.

PLEASE PLEASE HELP!!!

90.84

If you are trying to find x, you would want to do tangent of 26 (trigonometry). You would get 26tan17 which equals roughly 90.84. Hope this helps.

If you are trying to find x, you would want to do tangent of 26 (trigonometry). You would get 26tan17 which equals roughly 90.84. Hope this helps.

in the first week of July, a record 1,020 people went to the local swimming pool. In the second week, 100 fewer

people went to the pool than in the first week. In the third week, 135 more people went to the pool than in the second week.

In the fourth week, 137 fewer people went to the pool than in the third week. What is the percent decrease in the number of

people who went to the pool over these four weeks?

With the concepts of** percentages and calculations,** the percent decrease in the number of people who went to the pool over these four weeks is 10%

Take the base as 100 and convert the **percentage **to numbers and then proceed with the same.

Now, the initial number of people in the local swimming pool is 1020, after which 100 fewer went, hence 920 people

Now, 135 people more people need to be added, thus 1055 people.

Now, 137 fewer people went, so 918 people went to the pool in the four weeks.

Therefore** percent decrease = Difference/No. of people in the first week * 100**

Thus, the percent decrease = 102/1020*100=10%

Hence 10% of people went less in the fourth week as compared to the first week.

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sk-00000y5 Cog 10) -7x+2y=18 6361-30 33 42952 read 10,000 13x+40%3D2Ax0 Swazo 7-12 - 1234-5y=1722119 ターにはまった Ax - Ay=0 いりさわさったのにーちゃん 14) 42-y=20 Solve each system by elimination. 1S) 8x-6y%3D-20 ~16x+7y%3D30 y2-2142 りたい セー Crysoe Y=24 doe 24 -2x-2y= 10 JS-04-26 とおり 2012-2010 2010年10 プラス・マトリー 7 10分 16) 6x-12y = 24 yeye 一X-6y=4 Hey-400 SK-121024 ~42-30) 224.5メートル 60-124:24 カー123) 2012 ームが2012 1348

Given:

The linear equations are,

[tex]\begin{gathered} 20x-8y-22x-16=0 \\ -22x-18y=36 \end{gathered}[/tex]The objective is to solve by elimination method.

The equations can be rearranged as,

[tex]\begin{gathered} -2x-8y=16\text{ ..}\ldots..\ldots\ldots(1) \\ -22x-18y=36\text{ ..}\ldots..\ldots\ldots(2) \end{gathered}[/tex]To solve the equation, multiply equation (1) b

4. Write a quadratic function given the roots (3, 0) and (-1, 0)

and the point (4, 10).

character character character

[tex]please \: help \: me \: i \: keep \: getting \: the \: wrong \: am \\ answer[/tex]

2. The populations of five cities in California are listed below. What is the combined population of San Diego and Fresno?

City | Population

______________________

Los Angeles | 3,928,864

______________________

San Diego. | 1,381,069

______________________

San Jose | 1,015,785

______________________

San Francisco| 852,469

______________________

Fresno | 515,986

**Answer:**

1,897,055

**Step-by-step explanation:**

1,381,069+515,986=1,897,055

One-Step Inequalities MC) Solve k over negative 3.7 is less than or equal to negative 2.2 for k. k ≥ 8.14 k ≤ −8.14 k ≥ −5.9 k ≤ −5.9

**Answer: k>8.14**

**Step-by-step explanation: just do math.**

Terry bought 2 shirts for $14 each, 2 pair of socks for $2.99 a pair, and a pair of slacksfor $25.00. The sales tax rate is 6.5%. How much did he pay? (Enter the dollar amountonly. Round to the nearest cent.)

Answer:

Explanation:

Terry bought 2 shirts for $14 each.

That is $28 on shirts

2 pair of socks for $2.99

That is $5.98 on socks

A pair of slacks for $25

The sales tax rate is 6.5% or 6.5/100 or 0.065

We want to know how much he paid.

**Adding all the items he bought together, we have:**

$28 + $5.98 + $25

= $58.98

**Next, we apply the sales tax rate.**

Take 6.5% of $58.98

This is: $58.98 * 0.065

= $3.83

Finally, add the sales tax with the amount we got

$58.98 + $3.83

= $62.81

**He paid $62.81 in total**

Mr. Helmer had a wooden board 85 inches long. He cut off a piece 9 inches long. How long was the board after the cut?

**Answer: 76 Mr Helmer had 76 inches left. **

**Step-by-step explanation: All you do is you subtract 9 from 85. **

**Or 85-9=X **

And why there two possible solutions to the equation, X over 2 = 100?
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