Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
F(-8)=8^2-3(-8)
=64+24
=88
Hope this can help.
Answer:
x = 11.75
y = 11.5
Step-by-step explanation:
By Elimination Method:
7x - 3y = 48 ---- (1)
-
<u> 2x + y = 35 ----</u>- (2)
Multiply equation (1) by 2 and equation (2) by 7
14x - 6y = 96
-
<u> 14x + 7y = 245 </u>
<u> 0 -13y = -149</u>
-13y = -149
y = -149/-13
y = 11.5
From equation (2); replace y with 12
2x + y = 35
2x + 11.5 = 35
2x = 35 - 11.5
2x = 23.5
x = 11.75
Answer:
x=1/7
Step-by-step explanation:
4x+3x=7-6
7x=1
7x/7=1/7
x=1/7
