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Goryan [66]
3 years ago
5

The length of the rectangle below is (2x-3) and the width is (x+7). Find the area of the rectangle in terms of x.

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

Answer:

area = 2x² - 17x - 21

Step-by-step explanation:

Area of the rectangle is:

area = (width*length)

area = (x+7)*(2x-3)

        = x*2x + x*-3 + 7*2x + 7*-3

        = 2x² - 3x - 14x - 21

        = 2x² - 17x - 21

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labwork [276]
I believe it is twenty eight. Ten is two thirds of fifteen. Twenty eight is two thirds of forty two. But I'm just assuming tbh
6 0
3 years ago
How do you factor this equation?<br> 7x²+5x-3
svetoff [14.1K]

Answer:

Step-by-step explanation:

This is a quadratic expression.  Use the quadratic formula to find the roots, and then once you have the roots, write the corresponding factors.

The coefficients of this quadratic expression are a = 7, b = 5 and c = -3

The discriminant is b^2 - 4ac, or 5^ - 4(7)(-3), or 25 + 84 = 109.  Because this is positive, we know that the expression has two unequal, real roots.

Using the quadratic formula, we now find these roots:

      -b ± √(discriminant)

x = --------------------------------   which here is:

                   2a

      -5 ± √109

x = -----------------

             14

The factors can be found from these two roots.  The first one is

      -5 - √109                  5 + √109

(x - ---------------- )  =  (x + ---------------- )

             14                              14

and the second is

        5 - √109              

(x + ---------------- )  

             14                

8 0
4 years ago
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue
Vesnalui [34]

Answer:

2 : 3

Step-by-step explanation:

Total cans of blue paint = 14

Total cans of yellow paint = 20

Day 1:

Yellow paint = 6 cans

Blue paint = 4 cans

Ratio of blue paints to yellow paint

4 cans : 6 cans

= 2 : 3

Day 2:

Yellow paint = 9 cans

Blue paint = 6 cans

Ratio of blue paints to yellow paint

6 cans : 9 cans

2 : 3

The ratio of blue paint to yellow paint in the mixture is 2 : 3

Day 3:

Cans of yellow remaining after 2 days

Yellow paint = Total cans of yellow paint - day 1 cans of yellow paint - day 2 cans of yellow paint

= 20 - 6 - 9

= 20 - 15

= 5 cans

Cans of blue remaining after 2 days

Blue paint = Total cans of blue paint - day 1 cans of blue paint - day 2 cans of blue paint

= 14 - 4 - 6

= 14 - 10

= 4 cans

4 0
3 years ago
Which expression is equivalent to 9a + 12? (1 point)
harkovskaia [24]
The first one is.

3 x 3A is oA
3 x 4 is +12
9a +12
3 0
4 years ago
Read 2 more answers
Amy earned $93 at work yesterday. She gets paid $8 per hour, plus she received a $45 bonus. Write an equation that can be used t
seropon [69]
93 = 8x + 45.

Have to have 20 characters so sorry for this sentence.
6 0
3 years ago
Read 2 more answers
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