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andrew11 [14]
3 years ago
10

Consider these functions:

Mathematics
2 answers:
IgorLugansk [536]3 years ago
8 0

Answer:

The value of f(g(-2)) is 12.

Step-by-step explanation:

We'll start by solving g(-2):

g(-2)\\= (-2)^2 + 2\\= 4 + 2\\= 6

Now we can take that value and plug it into function f:

f(6)\\= \frac{-1}{2}6^2 + 5 * 6\\= -36/2 + 30\\= -18 + 30\\= 12

Alternatively, you can work out a new single function that in itself describes f(g())

f(g(x)) = -\frac{1}{2}g(x)^2 + 5g(x)\\= -\frac{1}{2}(x^2 + 2)^2 + 5(x^2 + 2)\\= -\frac{1}{2}(x^4 + 4x^2 + 4) + 5x^2 + 10\\= -\frac{1}{2}x^4 - 2x^2 - 2 + 5x^2 + 10\\= -\frac{x^4}{2} + 3x^2 + 8

and try plugging -2 into the new function

= - \frac{-2^4}{2} + 3(-2)^2 + 8\\= -16 / 2 + 3 * 4 + 8\\= -8 + 12 + 8\\= 12

rusak2 [61]3 years ago
8 0

Answer:

The answer is 12

Step-by-step explanation:

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lesantik [10]
Correct me if I’m wrong, I believe you have to add all of those numbers together. Then divide after and plug in those remaining digits
7 0
3 years ago
Which expression has a value of 20?
Mice21 [21]

Answer:

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8 0
3 years ago
Victor Malala has a net income of $1240.00 per month. If he spends $150.00 on food, $244.00 on a car payment, $300.00 on rent, a
Nady [450]
Net Income: I=$1,240.00
Food: F=$150.00
Car payment: C=$244.00
Rent: R=$300.00
Saving: S=$50.00
Other things: O=?

F+C+R+S+O=I
$150.00+$244.00+$300.00+$50.00+O=$1240.00
Solving for O:
$744.00+O=$1240.00
$744.00+O-$744.00=$1240.00-$744.00
O=$496.00

Percent of his net income Victor can spend on other things: P=?
P=(O/I)*100%
P=($496.00/$1240.00)*100%
P=(0.40)*100%
P=40%

Answer: 40% of his net income Victor can spend on other things.


3 0
3 years ago
Evaluate the expression when z= -12<br> 1/2z^2
icang [17]

Answer:

Exact Form: z = 0, -2/25

Decimal Form: 0, -0.08

Step-by-step explanation:

I used cymath.com. I highly recommend it. It shows you the steps to the problem you want to solve!

I hope this helps! :)

The last step is to solve for z

8 0
3 years ago
Name:
Vlad [161]

Answer:

115

Step-by-step explanation:

59.50-30

=29.5

29.5/0.25=115

4 0
3 years ago
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