100 - 3 x 8 + 2 x 25 + 25
3x8 = 24
2 x 25= 50
50 + 24 = 74
100 - 74 = 26
26 + 25 = 51
Answer:
All you have to do is substitute the value of x= -3 into the equation, then
g(-3) = -2(-3)2 + 3(-3) = -2(9) -9 = -18 - 9 = -27
Step-by-step explanation:
If
<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9
then
<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5
Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations
-<em>a</em> + <em>b</em> + 5 + 9 = 12
3<em>a</em> - 2<em>b</em> - 5 = 3
or
-<em>a</em> + <em>b</em> = -2
3<em>a</em> - 2<em>b</em> = 8
Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :
2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8
-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8
<em>a</em> = 4
Substitute this into the first equation above to solve for <em>b</em> :
-4 + <em>b</em> = -2
<em>b</em> = 2
Answer:
1 1/2
Step-by-step explanation:
because when you divide 7.5 by 5 you get 1.5
