Answer:
$245
Step-by-step explanation:
Savings percent= $350 × 30%
=$350 × 30/100
= $105
Money saved= $350- $105
= $ 245
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
#SPJ1
The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Answer:
16 pieces of spearmint gum
Step-by-step explanation:
For every five pieces of peppermint gum, there are 2 pieces of spearmint gum.
First, divide the total number of peppermint gum by 5:
40/5 = 8
Multiply this number by 2 (pieces of spearmint) to get the number of spearmint gum pieces:
8 x 2 = 16
Proof:
Ratio is 40 : 16, dividing this by 8 will reduce the ratio to 5:2
Answer:
- -6x² - 6 = -7x - 9
- -6x² + 7x - 6 + 9 = 0
- -6x² + 7x + 3 = 0
- 6x² - 7x - 3 = 0
<u>Discriminant:</u>
- D = (-7)² - 4*6*(-3) = 49 + 72 = 121
<u>Since D > 0, there are 2 real solutions:</u>
- x = (- (-7) ±√121 )/12
- x = (7 ± 11)/12
- x = 1.5, x = -1/3
Stack them all up in a row:
0.06
0.16
0.60
0.66
Now order them from least to greatest by each place
0.06, 0.16, 0.60, 0.66
(LOL, you TYPED them least to greatest!)
<span>Hope I helped! (Pick me as brainliest!)</span>
