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3 years ago

What is the value of k

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

There is no question, we don’t know what k is

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Part of the roof of a factory is devoted to mechanical support and part to green space. The area G that is designated as green s

alexgriva [62]

Answer:

Therefore, the area of green space would be 30 square yards.

Step-by-step explanation:

The area G that is designated as green space can be modeled by the polynomial $2x^2-7x$

the area M that is devoted to mechanical support can be modeled by the polynomial $x^2-9x+24.$

We are asked to find the area of the green space, when area of roof (R) is 36 square yards.

The area of roof would be equal to sum of areas of green space and mechanical support.

$R=G+M$

$G = 2x^2 -7x M = x^2 -9x +24$

the total area is given by 36 yd^2. And we know that:

$R = 36 yd^2 = G+M$

Replacing the info given we got:

$36 = 2x^2 -7x +x^2 -9x +24\\\\ 12= 3x^2 -16 x$

And we can rewrite this expression like this:

$3x^2 -16 x -12 =0$

And we can use the quadratic formual to solve this problem:

$X =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

With a = 3, b = -16 , c =-12. Replacing we have

$x = \frac{16 \pm \sqrt{(-16)^2 -4*(3)*(-12)}}{2*3}$

And the solutions for this case are:

Since length cannot be negative, therefore, the value of x would be 6.

The area of green space would be:

x = 6

$2x^2-7x\Rightarrow 2(6)^2-7(6)\\\\2x^2-7x=2(36)-42\\\\2x^2-7x=72-42\\\\2x^2-7x=30$

the area of green space would be 30 square yards.

8 0

3 years ago

Simplify the problem thank you

NikAS [45]

Given the expression:

$\displaystyle \large{ \sqrt[3]{ - 125} }$

Definition:

$\displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}$

First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.

$\displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }$

Because if (-5)^2 = 25 then 25×(-5) again will be -125.

Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,

$\displaystyle \large \boxed{ - 5}$

5 0

3 years ago

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Simplify -13.5a+34.12b+65.5-32.5b-35.8a

4vir4ik [10]

Answer:-49.3a-1.62b+65.5

Step-by-step explanation:

Combine Like terms:

-13.5a-35.8a=-49.3a

-34.12b+32.5b=-1.62b

Answer: -49.3a-1.62b+65.5

5 0

3 years ago

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The percent increase from 18 to 26 is around

Airida [17]

44.44
%
Explanation:
Take the absolute value of the difference fof the two and then divide by the first number:
|
18
−
26
|
18
=
8
18
=
.4444

8 0

3 years ago

Points F(0,0), G(9,0), and H(9,12) are the vertices of a triangle. What is the distance from point F to point H? A. 9 B. 12 C. 1

Simora [160]

Answer:

It is D. 21

Step-by-step explanation:

6 0

3 years ago

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