<span> 4x + 4y = 20
If I'm not mistakened, this is in it's standard form.
Slope intercept form </span>→ y = mx + b
Let's transform this into that form.
4x + 4y = 20
4y = -4x = 20
y = -x + 5
The slope intercept form would be ⇒ <span>y = -1x + 5 </span>
Question:
Find numbers a and k so that x-2 is a factor of
and
Answer:
and 
Step-by-step explanation:
Given
Required
Find a and k
For
Substitute -1 for x
Substitute 3 for f(-1)
Collect Like Terms
Also:
If 
is a factor, then
Substitute 2 for x and 0 for f(x)
Collect Like Terms
Substitute 12a - 14 for k in
Collect Like Terms
Solve for a
Substitute 1 for a in
The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.
Here the two functions are given, f(x) and g(x).
f(x) = 2x² + 1
g(x) = 3x - 5
We have to find f-g and f(g(2)).
1) f- g
f(x) - g(x)
(2x² + 1) - ( 3x - 5)
2x² + 1 - 3x + 5
2x² - 3x + 6
2) f(g(2))
f(g(x)) = 2(3x-5)² + 1
= 2( 9x² - 30x + 25) + 1
= 18x² - 60x + 50 + 1
= 18x² - 60x + 51
f(g(2)) = 18(2)² - 60(2) + 51
=18× 4 - 120 + 51
= 72 - 120 + 51
= 123 - 120
= 3
Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.
To know more about the function refer to the link given below:
brainly.com/question/11624077
#SPJ4
Answer:
562 + x ≥ 650
x ≥ 88
Step-by-step explanation:
He has 562 points. He needs x points to get an A. He must get at least 60 points to get an A.
562 + x ≥ 650
To solve this, we subtract 562 from each side
562-562 + x ≥ 650-562
x ≥ 650-562
x ≥ 88
