Find the solution set of the inequality 8x - 8 ≤ -72

2 answers:

7 0

The answer is inequality is x< -8 u see for the right next to -72 the pattern like that I don’t have it so the less than has the under line

Elza [17]3 years ago

4 0

Answer:

x ≤ -8

Step-by-step explanation:

8x-8 ≤ -72

+8 +8

8x ≤ -64

divide by 8

8x/8 ≤ -64/8

x ≤ -8

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The radius of a circular sign is 12 12 inches. Equal parts of the sign are painted red red and yellow yellow. How many square in

iragen [17]

Answer:

226.285 square

Step-by-step explanation:

Given:

The radius of a circular sign is 12 inches.

Equal parts of the sign are painted red and yellow.

Question asked:

How many square inches are painted each color?

Solution:

Here given that <u> a circular sign is divided into two equal parts </u>and one part is painted with red and other with yellow and we have to calculate the area of each color:

We will find area of semicircle of each color:

$Area\ of\ semicircle =\frac{\pi x^{2}}{2}$

$=\frac{\frac{22}{7}\times12\times12 }{2} \\ \\ =\frac{\frac{3168}{7} }{2} \\ \\ =\frac{452.57}{2} \\ \\= 226.285\ square\ inches$

Thus, 226.285 square inches are painted each color.

3 0

3 years ago

Beth wants to plant a garden at the back of her house. She has 32m of fencing. The area that can be enclosed is modelled by the

Maksim231197 [3]

Answer:

The maximum area that can be obtained by the garden is 128 meters squared.

Step-by-step explanation:

A represents area and we want to know the maximum.

$A(x)=-2x^2+32x$ is a parabola. To find the maximum of a parabola, you need to find it's vertex. The y-coordinate of the vertex will give us the maximum area.

To do this we will need to first find the x-coordinate of our vertex.

$x=\frac{-b}{2a}{/tex] will give us the x-coordinate of the vertex.Compare [tex]-2x^2+32x$ to $ax^2+bx+c$ then $a=-2,b=32,c=0[tex].So the x-coordinate is [tex]\frac{-(32)}{2(-2)}=\frac{-32}{-4}=8$ .