First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
Answer:
<em>(D). x = 2 , y = - 5</em>
Step-by-step explanation:
A = - 8 + 48 = 40
= -76 + 156 = 80
= 104 - 304 = - 200
<em>x =</em>
= <em>2</em>
<em>y =</em>
= <em>- 5</em>
<u><em>( 2, - 5 )</em></u>
Answer:
53/10 > 38/10
Step-by-step explanation:
Heyo Kiddo. How are you doing today?
Let's figure this out.
So, if "one number is p," then we can say the other number can represent the variable z.
We can conclude that: p + z = 45
For us to solve for z :
p + z = 45
- p -p
So then,
z = 45 - p
You're welcome. :)
Option C:
5, 1, 7
Solution:
Given equation:
y = |3x + 1|
In the chart, x values are given as –2, 0, 2.
To find the value of y for the corresponding x given.
Substitute x = –2 in the equation of y.
y = |3(–2) + 1|
= |–6 + 1|
= |–5| (Absolute value of a negative number is positive)
y = 5
Substitute x = 0 in the equation of y.
y = |3(0) + 1|
= |0 + 1|
= |1|
y = 1
Substitute x = 2 in the equation of y.
y = |3(2) + 1|
= |6 + 1|
= |7| (Absolute value of a negative number is positive)
y = 7
Option C is the correct answer.
The values of y are 5, 1, 7.
The answer image of the table is attached below.