Jeremy, sue, and holly are siblings. sue was born three years before holly, and jeremy was born five years before sue. the product of sue's age and jeremy's age is at most 150.
if x represents the age of holly, which inequality can be used to find the age of each sibling?
a.
x2 - 11x + 24 ≤ 150
b.
x2 + 8x + 15 ≤ 150
c.
x2 + 8x ≤ 150
d.
x2 + 11x + 24 ≤ 150

D is the correct answer

Step-by-step explanation:

Let the age of Holly is x years. Now from the statements of the question we will form the equations.

Sue was born three years before Holly.

Sue = Holly + 3 = x + 3(1)

Jeremy = Sue + 5

From equation (1)

Jeremy = (x + 3) + 5 = x + 8(2)

Now statement says the product of Sue's age and Jeremy's age is at most 150.

Sue × Jeremy ≤ 150

(x + 3)(x + 8) ≤ 150

x² + 11x + 24 ≤ 150

Therefore inequality x² + 11x + 24 ≤ 150 can be used to find the age of each sibling.

HAVE AN AMAZING DAY, GLAD TO HELP. ^.^

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

the answer is d

step-by-step explanation: