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vaieri [72.5K]
3 years ago
13

Evaluate the function for the given values of x.

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

g(3) = 11

g(-3) = 16

g(-1) =3

Step-by-step explanation:

For g(3)

g(x)= x² +2

g(3) = 3² + 2

g(3) = 9+2

g(3) = 11

For g(-3)

g(x) = -3x + 7

g(-3) = -3(-3) + 7

g(-3) = 9 + 7

g(-3) = 16

For g(-1)

g(x) = x² + 2

g(-1) = (-1)² +2

g(-1) = 1+2

g(-1) =3

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
andriy [413]

Answer:

The point that maximizes the objective function is (3,0)

Step-by-step explanation:

we have

Constraints:

x\geq 0\\y\geq 0\\-x + 3\geq y\\y\leq \frac{1}{3}x+1

Using a graphing tool

The feasible region is the shaded area

see the attached figure

The vertices of the feasible region are

(0,0),(0,1),(1.5,1.5) and (3,0)

we know that

To find the point in the feasible region that maximizes the objective function, replace each ordered pair of vertices in the objective function and then compare the results.

The objective function is

C=5x-4y

For (0,0) -----> C=5(0)-4(0)=0

For (0,1) -----> C=5(0)-4(1)=-4

For (1.5,1.5) -----> C=5(1.5)-4(1.5)=1.5

For (3,0) -----> C=5(3)-4(0)=15

therefore

The point that maximizes the objective function is (3,0)

8 0
3 years ago
What is the volume of a sphere with a diameter of 9.3 m, rounded to the nearest
Troyanec [42]

Answer:

Step-by-step explanation:

about 17

4 0
3 years ago
Which cereal tasty oats or corn bits has the higher ratio of protein
ANEK [815]
Tasty oats, it has fats and nutrients, plus, it is organic
3 0
3 years ago
Will mark most brainly
tekilochka [14]

Answer:

19 and 157

Step-by-step explanation:

5 0
3 years ago
What are the first five terms of the sequence defined by the given function?
kenny6666 [7]

Answer: B. -6, -4, -2, 0, 2

Step-by-step explanation: Use the attachment to help you with your answer.

Anyways, have an amazing day!

8 0
3 years ago
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