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IgorC [24]
3 years ago
8

How many solutions does the following linear equation have?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Answer:

no solution

Step-by-step explanation:

3(x – 5) = 1/2 (6х- 12)

3х-15= 6/2х-12/2

3х-6/2х=15-12/2

3х-3х=15-6

0х=9 no solution

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yes

Step-by-step explanation:

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3 years ago
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
A basketball player made 78 out of 100 attempted free throws. What percent of free throws was​ made?
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78%
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3 years ago
Ramon surveyed his friends about their favorite snacks. He found that 1/6 of his friends prefer trail mix. What is the equivalen
aleksandrvk [35]

Answer:

hlp

Step-by-step explanation:

hlp

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2 years ago
Solve the equation for the unknown variable.
Sunny_sXe [5.5K]
(-2)^3=-8
the answer of your question is -2
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