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2 years ago

9

if the area of a rectangle is represented by the expression 12x^2-5x-3 and the length is 4x-3, what expression represents the wi

dth

1 answer:

Arturiano [62]2 years ago

8 0

Answer:

option C

Step-by-step explanation:

area of rectangle = length * width

12x^2 - 5x - 3 = (4x - 3) * width

12x^2 - 9x + 4x - 3 = (4x - 3)* width

3x(4x - 3) + 1(4x - 3) = (4x - 3)*width

(3x + 1)(4x - 3) / (4x - 3) = width

3x + 1 = width

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What is the equation of the line represented by the table below? Х-2,-1,0,1,2 y16,11,6,1,-4

pashok25 [27]

Answer:

y = -5x + 6

Step-by-step explanation:

General equation of a line : y = mx + c......where c is intercept

To find m pick any two points..

(-2, 16) and (-1, 11)

Using (y - y¹) / (x - x¹)

(11 - 16) / (-1 - [-2]) = -5 / 1

= -5

To find c sub with any point for (x, y) and m

using (2, -4)

y = mx + c

-4 = -5(2) + c

-4 = -10 + c

6 = c

Input the values of m and c in the general equation without x and y

; y = -5x + 6

5 0

3 years ago

What is <br> x divided 7 = 3; 20, 21, 22

chubhunter [2.5K]

X/7= 3
⇒ x= 3*7
⇒ x= 21

x/7= 20
⇒ x= 20*7
⇒ x= 140

x/7= 21
⇒ x= 21*7
⇒ x= 147

x/7= 22
⇒ x= 22*7
⇒ x= 154

Hope this helps~

5 0

4 years ago

Read 2 more answers

If a license plate has three letters followed by three digits, with no repetitions allowed and no use of either the letter o or

Irina-Kira [14]

The license plates will look like this:

letter1 letter2 letter3 digit1 digit2 digit3

A sample license plate looks like this: ACT983

We need to see the numbers of letters and digits that can be used in each place, and multiply all numbers together.

You cannot use the letter O. Since there are 26 letters in the alphabet, by removing the letter O, you now have 25 letters left. The position "letter1" can have one of 25 letters.

25

For letter2, you cannot use the letter O, and you cannot use the letter that was already used, so now there are 24 letters left. Position letter2 can be filled with on of the remaining 24 different letters.

25 * 24

Letter3 can have 23 choices of letters.

25 * 24 * 23

Now we do a similar thing with the digits. Digit1 cannot be zero, but it can be any digit from 1 to 9, so digit1 has 9 choices. Since no repetitions are allowed, digit2 has 8 choices of digits, and then digit3 has 7 choices of digits.

The number of different license plates available is the product:

25 * 24 * 23 * 9 * 8 * 7

25 * 24 * 23 * 9 * 8 * 7 = 6,955,200

Answer: 6,955,200

7 0

4 years ago

What value of x is in the solution set of 4x – 12 5 16 + 8x?

TEA [102]

Answer:

$4x-12= 16 +8x$

And we can subtract 4x in both sides and we got:

$-12 = 16 +4x$

Now we can subtract in both sides 16 and we got:

$-28 = 4x$

And if we divide both sides by 4 we got:

$x = -7$

And the best solution would be:

-7

Step-by-step explanation:

For this case we assume the following equation:

$4x-12= 16 +8x$

And we can subtract 4x in both sides and we got:

$-12 = 16 +4x$

Now we can subtract in both sides 16 and we got:

$-28 = 4x$

And if we divide both sides by 4 we got:

$x = -7$

And the best solution would be:

-7

8 0

3 years ago

X2-3x-4=0 please help me factorize

zimovet [89]

X² - 3x - 4 = 0

Reverse FOIL method . . .

(x - 4)(x + 1) = 0

one of the paranthesis has to be equal to zero if the other is not . . .

x - 4 = 0

<u><em>x = 4</em></u>

x + 1 = 0

<u><em>x = -1</em></u>

4 0

3 years ago

Read 2 more answers