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Zolol [24]
3 years ago
12

The difference between two trinomials is 5x2 + 11x − 16. If one of the trinomials is 3x2 − 2x + 7, then which expression could b

e the other trinomial?
Mathematics
2 answers:
vredina [299]3 years ago
7 0

Answer:

2x^2+13x-23

Step-by-step explanation:

The first trinomial is

3x^2-2x+7

Let the other trinomial be P.


Then


P+3x^2-2x+7=5x^2+11x-16


We make P the subject to obtain,

P=5x^2-3x^2+11x+2x-16-7


We simplify to obtain,

P=2x^2+13x-23


Hence the other trinomial is 2x^2+13x-23






Nana76 [90]3 years ago
4 0

Answer:

other trinomial is (  8x² + 9x - 9 )

Step-by-step explanation:

The difference between two trinomials is 5x² + 11x - 16.

If one of the trinomials is 3x² - 2x + 7 then we have to find the other trinomial.

Let the other trinomial is T.

Then  T - ( 3x² - 2x + 7 ) = 5x² + 11x - 16

         T = ( 5x² + 11x - 16 ) + ( 3x² - 2x + 7 )

           = 5x²  + 11x - 16 + 3x² - 2x + 7

           = ( 5x² + 3x² ) + ( 11x - 2x ) - ( 16 - 7 )

          = 8x² + 9x - 9

Therefore, other trinomial is (  8x² + 9x - 9 )

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A clothing store determines that in order to sell x shirts, the price per shirt should be p(x)=100−x dollars. Getting x shirts f
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Answer:

x= -40

Step-by-step explanation:

Cost

C(x)=1,600+20x

P(x)=100-x

Revenue=x*p(x)

=x*(100-x)

=100x-x^2

Cost=Revenue

1600+20x=100x-x^2

1600+20x-100x+x^2=0

1600-80x+x^2=0

Solve using quadratic formula

Formula where

a = 1, b = 80, and c = 1600

x=−b±√b2−4ac/2a

x=−80±√80^2−4(1)(1600) / 2(1)

x=−80±√6400−6400 / 2

x=−80±√0 / 2

The discriminant b^2−4ac=0

so, there is one real root.

x= −80/2

x= -40

5 0
3 years ago
Write the equation of a line in the given form.
Gnom [1K]

Answer:

y = \frac{1}{4}x - 5

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-5 - (-4)) / (0 - 4)

   = -1 / -4

   = 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

-5 = \frac{1}{4}(0) + b

b = -5

Now use the above slope and y intercept to create equation of a line:

y = \frac{1}{4}x - 5

3 0
3 years ago
NEED HELP ASAP 20POINTS The energy (and cost) needed to operate an air conditioner is proportional to the volume of a space that
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Answer:

The daily cost of cooling the large warehouse with the same model of air conditioner is \$1,953

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem

The scale factor is equal to 2.5

so

The scale factor elevated to the cube is 2.5^{3} =15.625

To estimate the daily cost of cooling the large warehouse with the same model of air conditioner, multiply $125.00 by the scale factor elevated to the cube

so

\$125(15.625)=\$1,953

4 0
3 years ago
Mittens, a baby kitten, gained 120 grams of weight in 1/3 of a month. If Mittens kept growing at this rate, how much weight woul
dlinn [17]

Answer:

Step-by-step explanation:

Given

A baby kitten, gained 120 grams of weight in 1/3 of a month.

he gain in 1 month

Solution

1/3 month =120gram weight

1 month =120×3

=360 gram is the answer

6 0
3 years ago
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