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geniusboy [140]
3 years ago
9

G(x) = -x2 + 24 For the function g defined above, what is the value of g(-4)?

Mathematics
2 answers:
Studentka2010 [4]3 years ago
6 0
G(-4)= 40
Explanation
G(x)=-x^2+24
Step 1- g(x)=-(-4)^2+24
Step 2- g(x)= 4^2+24
Step 3- g(x)=16+24
Step 4- g(x)= 40
tangare [24]3 years ago
4 0

Answer:

g(x) =  - x\\ g( - 4) =  - ( - 4) + 24 \\ g( - 4) =   4 \times 2 + 24 \\ g( - 4) =8 + 24 \\ g( - 4) = 32

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Wrote a problem for the equation 0.5n= 12.5.
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Emma wanted to buy some apples from the store. They each cost $0.5. If Emma paid $12.5 in total, how many apples did Emma buy?
6 0
3 years ago
PLEASE HELP AND SHOW ALL STEPS
Alja [10]

Combining the like terms, the simplified polynomials are given as follows:

a) 4x² - 14x + 17

b) -5x² - 20x + 8

<h3>How are polynomials simplified?</h3>

Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.

Item a:

4(x - 2)(x + 1) - 5(2x - 5)

Applying the distributive property:

4(x² - x - 2) - 10x + 25

4x² - 4x - 8 - 10x + 25

Combining the like terms:

4x² - 4x - 10x - 8 + 25

4x² - 14x + 17

Item b:

-5(x + 2)² + 28

-5(x² + 4x + 4) + 28

-5x² - 20x - 20 + 28

-5x² - 20x + 8

More can be learned about the simplification of polynomials at brainly.com/question/24450834

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4 0
2 years ago
What is the value of the 3 in 16.35 ?
WINSTONCH [101]

Answer: easy. The value is 3 tenths.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the in
RSB [31]

Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

s^2+5s-2s-10=0

s(s+5)-2(s+5) =0

(s-2) (s+5) =0

s=2, s=-5

Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

2A+2B=4 .....................(iii)

-2A+5B=10 .................(iv)

Solving (iii) and (iv)

7B=14

B=2

Now put B=2 in (i)

A=2-2

A=0

By putting the values of A and B in equation (D)

Y= 2e^(5t)

6 0
3 years ago
In a group of 1500 people, 585 have blood type A, 165 have blood type B, 690 have blood type O, and 60 have blood type AB. What
deff fn [24]
When calculating probability you need to remember that probability is:
something that you are observing divided by total number of participants.
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In this case we are observing blood type B persons. Number of them is 165.
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165/1500 = 0.11    or  the probability is 0.11*100=11%
6 0
3 years ago
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