So we will be using $y=mx+b$ form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.

$2=-8(-2)+b$

Firstly, do the multiplication: $2=16+b$

Next, subtract 16 on both sides, and your answer will be -14 = b

Using the previous info we have, our equation is y = -8x - 14

8 0

2 years ago

With problems can be solved

Akimi4 [234]

Answer:

It says Henry scored 9 points every game and he played 4 games. So the equation is 9 × 4.

5 0

3 years ago

You are designing a rectangular swimming pool that is to be sent into the ground. The width of the pool is 5 feet more than the

Vikentia [17]

Answer: depth = 5 ft

width = 10 ft

length = 40 ft

Step-by-step explanation:

d = depth

width = d + 5

length = d + 36

Volume = length x width x depth = 2000 cf

d(d+35)(d+5) = 2000

d( $d^{2}$ + 40d + 175) = 2000

d^3 + 40d^2 + 175d = 2000

rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0

d^3 + 40(d^2) + 175d - 2000 = 0

Find the roots of the cubic polynomial:

factors of 2000 are 1, 5, 10 15, 20, etc.

Try the factor 5 first by plugging it in the equation:

5^3 + 40(5^2) + 175(5) - 2000 = 0

Lucky break! No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.

So, depth = 5 ft

width = 5 + 5 = 10 ft

length = 5 + 35 = 40 ft

6 0

1 year ago