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andrew11 [14]
3 years ago
15

the width of a rectangle is 7 meters greater than its length.If the area of the rectangle is 170 square meters, write the quadra

tic equation in standard form for the equation that would represent the area of the rectangle. Let x equal the length of the rectangle.
Mathematics
1 answer:
Anika [276]3 years ago
4 0

Answer:

x^2+7x-170 = 0

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the width is 7m greater than the length. So w = 7 + x. So the area is A= (7+x)*x.

We also know the area is 170. Substitute this value for A and solve.

170 = (7+x)(x)\\170 = 7x+x^2\\x^2+7x-170 = 0


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Can someone actually help me with this question? It's about: Complementary and supplementary angles (visual)
Sophie [7]
90-41 =49
So the answer to x =49 degrees
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4 0
2 years ago
Lin's bottle holds 3 1/4 cups of water. She drank 1 cup of water. What fraction of the water in the bottle did she drink?
DanielleElmas [232]

Answer:

30.76923077 or (approx: 30.77)

Step-by-step explanation:

-has 3 1/4 cups

-drinks 1 cup

(3 1/4-1=2 1/4)

3 1/4=100%               (3 1/4 divided by 1=3.25)

    1  =x%                    (100 divided by 3.25)

Approx 30.77%

8 0
3 years ago
you have a large container of olive oil. You have used 22 1/2 quarts of oil. Twenty- five percent of the oil remain. How many qu
Alex Ar [27]
Answer:

7.5 quarts of olive oil remain.

Explanation:

Let

q = quarts of olive oil remain

<span>25%</span> of olive oil remains means that <span>75%</span> has been used.

22<span>12</span> quarts = 22.5 quarts used

<span><span>22.5.75</span>=<span>q.25</span></span>

Multiply both sides by .25 to isolate q.

<span><span>22.5.75</span><span>(.25)</span>=<span>q.25</span><span>(.25)</span></span>

<span><span>5.625.75</span>=q</span>

<span>7.5=<span>q</span></span>

3 0
3 years ago
F(x) =x2+2x-3 g(x)=3x-14
Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x  + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

         = 9x² - 84x + 196  + 6x - 28 - 3

         = 9x² - 78x  + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x  + 165.

Learn more about composite function here: brainly.com/question/10687170

#SPJ1

The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

8 0
1 year ago
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