How does the zero product property help you find the x intercept of y=x^2-x-12?

1 answer:

8 0

We first factor this quadratic. We want factors of c, -12, that sum to b, -1; -4(3) = -12 and -4+3 = -1, so those are the two we will use:
y=(x-4)(x+3)

The zero product property tells us that in order to get a product of zero, one of the factors must be zero. This means either x-4=0 or x+3=0. We solve both of these equations to find the roots, or x-intercepts:
x-4=0
x-4+4=0+4
x=4

x+3=0
x+3-3=0-3
x=-3

You might be interested in

Not sure what it is, does anyone know?

patriot [66]

Answer:

110 degrees

Step-by-step explanation:

it is 110 degrees because on a line comebinedt is 180 degrees. And you already ahve one side which is 70 degrees. So 180 minus 70 is 110 degrees.

7 0

4 years ago

Read 2 more answers

A student estimates that it would take her 3 hours to write a book report,but it actually takes he 5 hours what is the percent e

aleksklad [387]

Answer:

66.67%

If it wrong! IM SO SORRY:(

5 0

2 years ago

3 + 4 = ?<br> וא<br> 2/3+2/4

Elina [12.6K]

Answer:

1. 7

2. 17/12 can be a mixed number

8 0

3 years ago

For every 5 chickens there were 10 eggs. What are the three ways to write this ratio?

mixas84 [53]

Answer:

The first 3

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

5 0

3 years ago

Read 2 more answers

n automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally di

Paraphin [41]

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that $\mu = 116, \sigma = 5.4$