Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
He would have to work 24 weeks to get the same amount from each job.
Answer:
f = -11.25
Step-by-step explanation:
-9f = 90 - f
-8f = 90
f = 90 / -8
f = -11.25
Ok so what do we know :
4 quarts = 1 gal
Julia has 4gal and 2 quarts or 18 quarts
ally has 12 quarts
so if julia has 18 quarts and ally has 12 that means that ally needs 6 more quarts (or 1gal 2 quarts) so that she and julia can have the same amount
The absolute value inequality for the graph is given as |x| < 4
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
The absolute value is given by:
|x - average| = distance to midpoint
From the graph:
x > -4 and x < 4
The midpoint is 0, hence Distance between -4 or 4 to midpoint (0) is 4
Average = (-4 + 4)/2 = 0
Hence:
|x - 0| = 4
|x| < 4
The absolute value inequality for the graph is given as |x| < 4
Find out more on equation at: brainly.com/question/2972832
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