Answer:
Step-by-step explanation:
She added 3x and -2x, getting 5x, instead of x. She needs to pay more attention to the positive/negative signs.
Answer:
The x-intercepts will be, x= 7 or x =9
Step-by-step explanation:
f(x)= x^2 -16x+63
At the x-intercept, f(x) is zero.
Therefore;
x² - 16x + 63 = 0
solving it quadratically;
product = 63
Sum = -16
x² - 9x - 7x + 63 = 0
x(x-9) - 7( x-9) = 0
(x-7) (x-9) = 0
x = 7 or x = 9
Therefore;
The x-intercepts will be, x= 7 or x =9
Answer: The second option and the third option are true.
Step-by-step explanation:
The formula of the line in slope-intercept form is:

Where <em>m </em>is the slope and <em>b </em>is the y-intercept.
By definition, the y-intercept in a direct variation is 0.
Therefore, substituting
and
into the equation, you obtain:

Then, the equation is:

As this is a line, it is a linear function.
Therefore, the second option and the third option are true.
Answer:
<h2><u>
50 ft³</u></h2>
Step-by-step explanation:
We know the formula for a rectangular prism is length × width × height
We also know all the sides so we can rewrite the formula replacing variables.
The length is 8, the width is 2
and the height is 2
8 × 2
× 2
Multiply which ever way is easy for you. I am just multiplying from left to right.
8 × 2
= 20
20 × 2
= 50
Now we get 50. Before we put our answer as 50, there are two more steps.
First we need to add the measurement unit which is feet or ft
We also need to add ³ since it is volume
<u>50 ft³ is our final answer</u>