Solve the compound inequality.
2(x - 2) + 7> -1 and 5 – 4x > 9

The expression equivalent to (5x - 15y) + 8x. in step 2 is 3(x-3y) +8x Option C

Factorization involves find the factors that are common in an expression and using them to make it simple for understanding

The expression

(5x - 15y) + 8x.

To start with, you have to find a term that is common to all or half of the terms that are given

Step 1: 3x-9y + 8x

Step 2: 3(x-3y) +8x

This is the second step because from the expression 3 can only divide 3 and 9 but cannot divide 8.  So the first two are bracketed

Step 3: 12(x - y)

In conclusion, . 3(x-3y) + 8x marks the 2nd step in the factorization of the expression

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Answer:

Baseball and Hockey

Step-by-step explanation:

Their medians are close and their Max/Min spread and IQR are close as well.

Basically the one you have your mouse over is the correct one.

PLEASE MARK BRAINLIEST AND GIVE A THANKS!

Have a great day <3

Answer:

the measurement of N is D, 81.

Step-by-step explanation:

The angle measurement of a Right Angled Triangle is 90 degrees. And based off the angle dimension given in the image above ( 9 degrees ), you need to subtract 90 ( the angle dimension of the triangle) with the angle dimension given (9 degrees) which gets you to an answer of 81 degrees.

8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

Answer:

Step-by-step explanation:

"function q has zeros of -3 and 8"

q(x) = a(x+3)(x-8)

"q passes through the y-axis at the point (0,12)"

a(0+3)(0-8) = 12

a = -½

q(x) = -½(x+3)(x-8) = -½x² + 2.5x + 12

q'(x) = -x+2.5

-x+2.5 = -1.5

x = 4

rate of change is -1.5 at the point (4,14).

Renee’s layaway fee is $15.95, her down payment is $31.90, and her weekly payments are $7.98 each.

We are given that;

Combined price of the items = $318.95

Layaway fee=5%

Down payment=10%

Now,

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The layaway fee by multiplying the item price by 5%. The formula is: layaway fee=item price×0.05

The down payment by multiplying the item price by 10%. The formula is: down payment=item price×0.1

Calculate the weekly payment by multiplying the item price by 15% and dividing it by 6. The formula is: weekly payment=6item price×0.15​

Plugging in the given values and simplify the expressions. Here are the calculations:

layaway fee=318.95×0.05=15.95

down payment=318.95×0.1=31.90

weekly payment=6318.95×0.15​=7.98

Therefore, by percentage the answer will be $15.95, $31.90, and $7.98

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Hi I hope u have a great time ...

CD = FE

thus :

\(3x + 5 = 7x - 39\)

Add both sides 39

\(3x + 5 + 39 = 7x - 39 + 39\)

\(3x + 44 = 7x\)

Subtract both sides 3x

\(3x - 3x + 44 = 7x - 3x\)

\(44 = 4x\)

Switch sides

\(4x = 44\)

Divide both sides by 4

\( \frac{4x}{4} = \frac{44}{4} \\ \)

\(x = 11\)

There u go have a great day ♡

Answer:

Slope is undefined.

Step-by-step explanation:

-3-2

——

4-4

Anything with the x value as zero is undefined.

Answer:

unidentified slope of 0

Step-by-step explanation:

Use the slope formula: \(\frac{y2-y1}{x2-x1}\)

2 is y2, -3 is y1, 4 is x2, and 4 is x1.

\(\frac{2-(-3)}{4-4}\)

\(\frac{2+3}{0}\)

\(\frac{5}{0} =0\)

The slope is 0. That means the slope is unidentified. I hope this helps!

Answer: D

Step-by-step explanation:

The area of each of the triangles is (1/2)(9)(8).

So the area of all 4 triangles combined is (2)(9)(8)=144.

The area of the square is 8^2 = 64

So the total surface area is 144 + 64 = 208

If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that, a certain truck traveled 7,605 miles in 15 days.

The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,

Suppose the average number of miles traveled per day is x,

x=76015 / 15

x=507 miles per day.

Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.

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Answer:

1246 2/3 feet

Step-by-step explanation:

17 miles/hour * 5280 feet/1 mile * 1 hour/60 minutes * 1 minute/ 60 seconds =

24.93 feet/second * 50 seconds = 1246 2/3 feet

Answer: about 25 feet

Step-by-step explanation:

( the exact number for the problem would be 24.933.... so round )

convert 17 miles into a # of feet

convert 1 hr into a # of secs

# of feet=89760

# of secs=3600

divide 89760/3600

you get 24.9333..........

Round to the nearest tenth and get 25

Answer:

Check pdf

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

You line up the decimal places (and remember 12 can look like 12.0)

Answer:

Your final answer should equal the sum of 72.

Step-by-step explanation:

23.3+12=(23+12=35)(35+.3=35.3)   35.3

35+36=71

.3+.7(from 36.7)=1

71+1=72

Answer:

you see

Step-by-step explanation:

Answer:

Step-by-step explanation:

the conversion for farenheit to celsius is to subtract 32 and multiply by 5/9.

-40-32 is -72. multiply that by 5/9 and that is -40

50-32 is 18. multiply that by 5/9 and you get 10. so no she's wrong

Answer:

s = 18

Step-by-step explanation:

A triangle's interior angles must all add up to 180 degrees.

Since you know 1 angle is 45 degrees, then the last 2 angles must equal 135 degrees.

Write the equation based on the you were told about the other 2 angles:

5s +  ( 3s - 9) = 135

Solve for s:

5s + 3s - 9 = 135

Add the like variables and add 9 to both sides of the equation.

8s = 144

Divide both sides by 8

s = 18

Angle 1 = 5s = 5 x 18 = 90

Angle 2 = 3s - 9 = 3(18) - 9 = 54 - 9 = 45

Volume of the cylinder is 132.67 cm³.

What is volume?

Volume is a measure of  space occupied by an object.

Main body:

Diameter of the cylinder is 6.5 cm.

Height of the cylinder is 4 cm.

Volume of the cylinder = ?

Solution:

We have radius and height of the cylinder i.e., 3.25 cm and 4 cm respectively.

We need to calculate the volume of the cylinder, formula is given by

Volume of Cylinder = πr²h

                                = π (3.25)² *4

                                = 42.25π

                                = 132.67 cm³

Hence, Volume of the cylinder is 132.67 cm³.

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

The first one is d: x=0 or x=6

the second one is the 3rd one

Step-by-step explanation:

The roots of the quadratic equation will be -

{x} = (1 ± i√29)/5

Given is the quadratic equation as -

5x² - 2x + 6 = 0

We can write the roots as -

{x} = {- b ± √(b² - 4ac)/2a}

{x} = (2 ± √-116)/10

{x} = (2 ± i 2√29)/10

{x} = 2(1 ± i√29)/10

{x} = (1 ± i√29)/5

Therefore, the roots of the quadratic equation will be -

{x} = (1 ± i√29)/5

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The factorization of  9x^5 + x^2 is  x^2 (9x^3 + 1).

The factorization of algebraic expressions is the process of identifying two or more expressions whose product is the given expression. A factor is a number that evenly divides the inputted number or expression.

Algebraic expressions can be factored by identifying two or more expressions whose product is the provided expression, which is known as finding the factors of the given expression.

Given that:

9x^5+x^2

Factor x^2 out of 9x^5.

= x^2 (9x^3 ) + x^2

= x^2 (9x^3 + 1)

Therefore, we can conclude that the factorization of  9x^5 + x^2 is  x^2 (9x^3 + 1).

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the width of the blanket is 4 ft

it is given that length is 3 times of width so the length is 3 * 4 = 12 ft

part b)

so the blanket is rectangular.

the perimeter of the blanket is

2(4+12) = 32

area of the blanket is

length x width

12 x 4 = 48 square ft

part a)

the diagram of the blanket is given as follows,

The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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Answer:

30% increase

Step-by-step explanation:

percentage increase is calculated as

\(\frac{increase}{original}\) × 100%

increase = $35.10 - $27 = $8.10 , then

percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%

Answer:

Step-by-step explanation:

step 1:       35.10-27 =8.1

step 2:       8.1/27 x 100 = 30%

so therefore = 30% increase

Answer:

9%

Step-by-step explanation:

p*r*t = Interest

$6000*x*10 years = $5400

interest ÷ time ÷ principal = rate

5400 ÷ 10 ÷ 6000 = 0.09

0.09 = 9%

Answer:

\(\frac{q - r}{m- n} = \frac{p - s}{m - n}\)

Step-by-step explanation:

Given

See attachment for parallelogram

Required

Proof that ABCD is a parallelogram

We know that opposite sides are equal and parallel.

First, we calculate the slope of BC

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

So, we have:

\(m = \frac{q - r}{m- n}\)

Next, the slope of AD using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

So, we have:

\(m = \frac{p - s}{m - n}\)

For ABCD to be a parallelogram; then:

\(\frac{q - r}{m- n} = \frac{p - s}{m - n}\)

The observed time cycles of five given elements are 2.1, 1.01, 3.4, 4.1, 1.5 respectively

To determine the observed time (OT),

The observed time (OT) of each cycles will be added together for each element. and divided by total number of cycles for each element.

This is done in the following ways

1) (1.2+2.0+2.2+2.1+2.1)/5 = 10.5/5 = 2.1

2) (1.1+1.0+1.2) = 3.3/3 = 1.1

3) (3.4+3.5+3.3+3.5+3.4+3.3)/6 = 20.1/6 = 3.4

4) 4.0+4.2)/2 = 8.2/2 = 4.1

5) (1.4+1.4+1.5+1.5+1.5+1.4)/6 = 8.7/6 = 1.5

therefore each elements total cycle OT is added and then it is divided with each elements relevant number of cycles and this as a result provides the answer to the question

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Answer:

im pretty sure it is 2m + 10

bc the min is going up by 2 every time and the gallons are going up by 10 each time

Step-by-step explanation

i commented b4 i actually answered it bc it wouldnt let me sry