Find the product of (4z2 + 7z - 8) and (-z + 3).
The product of (4z2 + 77 - 8) and (-Z + 3) is -423 +
Z - 24.

Answer:

12,6

Step-by-step explanation:

The factor pair of 72 is 12 and 6 because, factors are the 2 numbers you multiply together to get the product. In this case, the product is 72. 12x6=72 So therefore, 12 and 6 are the factors of 72. You can figure this out simply by multiplying 12 and 6 together.

The factor pairs of 72 are (1,72), (2,36), (3,24), (4,18), and (6,12).

To find the factor pairs of 72, we need to find pairs of numbers that multiply together to give us 72. Let's list all the factors of 72 and check which pairs multiply to give us 72:

So, the factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), and (6, 12).

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Answer:

30 grams

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

B) point B

Step-by-step explanation:

It is the only one on the positive side of the X intercept, and (3,0) is positive. You can get easily confused considering they are all TECHNICALLY the same distance away but since point B is most SIMILAR that would be your answer.

Hope this helped lots and lots,

sincerely, me

Answer:

1st, 3rd, and 4th options

Answer:

C. 3/2 Radians

Step-by-step explanation:

As we know, a radian is defined as "the angle enclosed by an arc equal to the radius", or some variant of such.

This means 1 radian in this circle would have an arc length of 8cm.

Simple proportions should get you an answer:

[tex] \frac{1 \: radians}{8cm} = \frac{x \: radians}{12cm} \\ 8x = 12 \\ x = \frac{12}{8} \\ x = \frac{3}{2} [/tex]

Answer: number of times feliz can drive to or from work with the gas in his tank is 10 times

Step-by-step explanation:

Let's start by reviewing the slope-intercept formula:

y = mx + b

At the start of the journey, we have a tank that's 5/6 full and have yet to go anywhere. That means that our b is 5/6.

Thus:

y = mx + 5/6

Now, every time he drives to or from work, be loses 1/12 of a full tank.

Thus;

y = -(1/12)x + 5/6

negative because the initial volume of gas is decreasing whenever he goes out.

Now, to get the number of times feliz can drive to or from work with the gas in his tank, y = 0.

Thus,

0 = -(1/12)x + 5/6

Add (1/12)x to both sides to give;

(1/12)x = 5/6

x = 5/6 ÷ 1/12

x = 10

Answer:

x = 1 ; x = 8

Step-by-step explanation:

6x² - 5x + 10 = 5x² + 4x + 2

x² - 9x + 8 = 0

x² - 8x - x + 8 = 0

x(x - 8) - (x -8) = 0

(x - 8)(x - 1) = 0

x = 1, x = 8

Answer:

x=8     x=1

Step-by-step explanation:

f(x) = g(x)

6x^2 -5x +10 = 5x^2 +4x+2

Subtract 5x^2 from each side

6x^2-5x^2 -5x +10 = 5x^2-5x^2 +4x+2

x^2 -5x +10 = 4x+2

Subtract 4x from each side

x^2 -5x-4x +10 = 4x-4x+2

x^2 -9x +10 = 2

Subtract 2 from each side

x^2 -9x +10-2 = 2-2

x^2 -9x +8 =0

Factor

What 2 numbers multiply to 8 and add to -9

-8 *-1 = 8

-8-1 = -9

(x-8) (x-1) =0

Using the zero product property

x-8 = 0   x-1 =0

x=8     x=1

Answer:

The formula to calculate the account value in future (compounded monthly):

A = Principal x (1 + rate/12)^(month)

=> 2500 = 1300 x (1 + (3.5/100)/12)^(month)

=> (1 + 0.00291)^(month) = 2500/1300

=> 1.00291^(month) = 1.923

=> month = log(1.923)/log(1.00291) = 225

=> It will take 225 months to have 2500 dollar in account.

Hope this helps!

:)

Answer:

x = 20.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 55 = 29 /x

Multiply each side by x

x tan 55 = 29

Divide by tan 55

x = 29 / tan 55

x =20.30601861

To the nearest tenth

x = 20.3

Answer:

The legs of a 45 45 90 are equal

And the length of the hypotenuse equals

leg * square toot of 2

Step-by-step explanation:

Answer:

Coffee doing it rn

Step-by-step explanation:

Answer:

The answer is 50:22 and 60:12

Step-by-step explanation:

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.  

To find the values of x for which the perimeter of a rectangle is less than 120, you would solve the equation 2*(x + (x+4)) < 120. After simplifying and solving, the result is x < 28.

In this problem, you are asked to find the values of x for which the perimeter of a rectangle is less than 120. The rectangle has width of x and a length of x plus 4.

The perimeter of a rectangle is defined as 2*(length + width). Plugging the lengths in for our rectangle, we get 2*(x + (x+4)) < 120. Simplifying this inequality gives 2*(2x + 4) < 120

From there, you want to distribute the 2 across the equation, which gives 4x + 8 < 120. Subtract 8 from both sides to get 4x < 112, and then divide both sides by 4 to find x < 28. So, the possible values of x are those less than 28.

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Answer:

5/3 or 1.66666666 or 1 2/3

Step-by-step explanation:

Subtract like normal

Look at the attached picture

Hope it will help you...

Answer:

It is a

Step-by-step explanation: I looked it up

Answer:

top left perimeter is 36 top left is 28 bottom right is 72 i cant see the bottom left

Step-by-step explanation:

but yeah just take each number multiply by 2 then add both of them up

Answer:

C

Step-by-step explanation:

Option C is the only one that's linear because it follows all of the rules for a line to be linear. To check, use the process of elimination:

A). When x is an absolute value, the line will not be linear because an input will have two outputs.

B). x cannot be in the denominator of a fraction for the line to be linear

D). Once again, x cannot be an absolute value.

*Note: I'm assuming in option B, 7x is in the denominator and 1 is in the numerator. If the fraction is simply​ 1/7 multiplied by x, it is linear along with C.

Answer:

C

Step-by-step explanation:

i took the k12 test

The mean absolute deviation (MAD) is a measure of the spread of a data set, calculated as the average of the absolute deviations of each data point from the data set's mean. For the given data set, the MAD is approximately 2.42.

The mean absolute deviation (MAD) of a data set is a measure of variability that represents the average difference between each data point and the mean of the data set. To calculate MAD, follow these steps:

For the data set 8, 5, 12, 4, 5, 8, 7, 1, 2, 5, 7, the mean is 5.8 (sum of all numbers divided by the number of numbers). Here are the deviations from the mean:

Summing all the absolute deviations gives us 26.6. With 11 data points, the MAD is 26.6 / 11 = 2.42.

Answer:

The width of the tank is 12.5 feet

Step-by-step explanation:

We need to find the width, not height of the rainwater tank, since the height is already given.

The volume of a rectangular prism is given as:

V = L * W * H

where L = length of the tank

W = width of tank

H = height of tank

We have its volume as 375 cubic feet and the length, L, as 15 feet and height, H, as 2 feet.

Therefore, its width is:

375 = 15 * W * 2

375 = 30W

=> W = 375 / 30

W = 12.5 feet

The width of the tank is 12.5 feet.

The fraction that makes the statement true is 1/10.

The sentence would be: "0.1 is a rational number because it can be written as 1/10."

The statement "0.1 is a rational number because it can be written as 0.1" is not accurate.

The decimal 0.1 is already a rational number because it can be expressed as the fraction 1/10.

Therefore, the correct sentence would be:

"0.1 is a rational number because it can be written as 1/10."

Question

Choose a fraction that makes the following sentence true. 0.1 is a rational number because it can be written as 0.1

Answer:

473 adult tickets and 782 student tickets

Hope this helps :)

Answer:

[tex]A[/tex] ≈ [tex]80.03[/tex]

Step-by-step explanation:

I used the equation  [tex]A=[/tex] π[tex]r(r+h^{2}+r^{2})[/tex] to find the surface area

i hope this helps

Answer:

= 168 hrs of work

Step-by-step explanation:

I week = 7 days

If 1 day = 24hrs

What about 7 days = ?

= 7 x 24

= 168 hrs of work

To get how much he gets per hour, you divide 300 by the number of hours

= 300 ÷ 168

= 1.785

= 1 dollar 79 cents

Answer:

Well, Your best answer will be is 35.

Here's a Explain.

W-5=0

W=5 That's for the width.

L=3*5-8

L=15-8=7 And, That's for the length.

Here's proof.

35=7*5

35=35

Hope That Helps!~

[tex]^{Itsbrazts}[/tex]

Answer:

12 ants, 8 spiders.

Step-by-step explanation: