evaluate f(-3) if f(x) = 5x^3+2x^2-4x+1

Answer:

a) x^(2) + 2x + 1

b) x^(2) + 1

c) 16

d) 1

Step-by-step explanation:

f(x) = x^(2)

g(x) = x + 1

a)

f(g(x))

input g(x) into f(x)

f(x+1) = (x+1)^(2)

= x^(2) + 2x + 1

b)

g(f(x))

input f(x) into g(x)

g(x^(2))

x^(2) + 1

c)

f(g(3))

Use the equation found in part a, substitute in 3 for x

(3)^(2) + 2(3) + 1

= 9 + 6 + 1

= 16

d)

Use the equation found in part a, substitute in 0 for x

(0)^(2) + 2(0) + 1

= 0 + 0 + 1

= 1

Answer:

g(2) = -11

Step-by-step explanation:

So, g(-2), basically meaning that x = -2.

Since we know that, we need to plug -2 into all of the x's.

g(2) = 3(-2) - 5

g(2) = -6 - 5

g(2) = -11

The required value of g(2) would be -11.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The function is given in the question following as:

g(x) = 3x-5

We have to determine the value of g(2) to the given function.

As per the given question, we have

⇒ g(x) = 3x-5

So, g(-2), this meaning that x = -2.

Now, substitute the value of x = -2 in the given function,

⇒ g(2) = 3(-2) - 5

⇒ g(2) = -6 - 5

Apply the addition operation, and we get

⇒ g(2) = -11

Therefore, the required value of g(2) would be -11.

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Answer:

3x^2+24

Step-by-step explanation:

i got it right on plato

Answer:

4/6 = 9/12 is not proportional

Step-by-step explanation:

Answer: 21.3m

Step-by-step explanation:

The height of the kite of the ground would be calculated as:

We have to calculate the question using a right angled triangle that has angle ACB as 90° while angle CAB will be 40°.

Therefore, the height of the kite would be:

= 30 sin 40 + 2

= 30 (0.6428 ) + 2

= 19.284 + 2

= 21.284 m

= 21.3 m

Answer:

Second one

Step-by-step explanation:

Because if we divide third and forth column can both divided by 5. When x is is increased by one the y increases by 5

Answer:

Second chart

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

The slope is the rise over run or the change in y over the change in x. In this case, the y decreases by 3 while the x increases by 1. Since one value increases while the other decreases the slope must be negative. So if we put the 3 over 1 and make it negative the answer is -3/1, which simplifies to -3.

Answer:

39 square meters.

Step-by-step explanation:

9 times 3 is 27. You have two triangles with length and width of 9 and 3 so you multiply it and get 27. You also have two smaller triangles of 3 and 4 and if you combine them it is really just a square. It is 3 times 4 which is 12. Now, the answer is 12 + 27 and you get 39 square meters. Hope it helps. Brainliest would be cool

Answer:

yes

Step-by-step explanation:

Yes, y = 4² is an exponential function.

" An exponential function is a mathematical function which can be expressed as y = [tex]a^{x}[/tex]  where 'a' is any constant value not equals to 0 and 'x' is a variable which belongs to any real number."

According to the question,

y = 4²

If we compare with general form y = [tex]a^{x}[/tex] of exponential function we have,

a = 4

x = 2

Hence, we conclude that y = 4² is an exponential function.

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Answer:

when doing questions like these you need to do pemdas and do it in order

Step-by-step explanation:

p- parenthesis

e- exponents

m- multipication

d- division

a- adding

s- subtracting

Answer:

1/12

Step-by-step explanation:

So you start with an equation. 2/3 plus 1/4= ?.

Step 1: Find a common donominator.

Count by each number until they meat up.

3 6 9 12

4 8 12

Step 2: Multiply.

Basically, make sure that if you do something to the bottom you do the same to the top. You have

[tex]\frac{2}{3}[/tex]  = [tex]\frac{?}{12}[/tex]. 3 times 4 is 12. 2 times 4 is 8. Your new fraction is [tex]\frac{8}{12}[/tex].

[tex]\frac{1}{4}[/tex] = [tex]\frac{?}{12}[/tex]. 4 times 3 is 12. 1 times 3 is 3. Your new fraction is [tex]\frac{3}{12}[/tex].

Step 3: Just Add!

[tex]\frac{8}{12} + \frac{3}{12}= \frac{11}{12}[/tex]

Step 4: Answer the question! The question asks "How much cake is left. You know that a whole cake is [tex]\frac{12}{12}[/tex]. So, [tex]\frac{12}{12} -\frac{11}{12} = \frac{1}{12}[/tex]

Answer:

Here are three multiples of nine that exceed 20:

Step-by-step explanation:

9(3) = 27

9(4) = 36

9(5) = 45.

Answer:

Y= 60 seconds divided by X

This is exponential, if x were 1 , Y' d. be 60 seconds. X=2, Y= 60/2 = 30.

Step-by-step explanation:

LIKE UR MEME

Answer:

8 beacaus the seven increased from 4

The quotient after increased by 4 is 8.

To calculate the quotient of 28 divided by 7, we perform the division and get:

28 ÷ 7

= 28/7

= (7 x 4)/ 7

= 4

Next, we are asked to increase this quotient by 4. Adding 4 to the quotient:

= 4 + 4

= 8.

Therefore, the quotient after increased by 4 is 8.

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Answer:

-3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

I am pretty sure you are trying to ask this but don't mind if it's not. If it's not just ignore it.

-3 is the smallest, so you go see the integers above it that are equal or less than 3.

Integers are numbers that can be negative or positive, but cannot be a decimal, square root, X and more.

So then the answer should be

-3, -2, -1, 0, 1, 2, 3

Answer:

1, 33.3

2, 81.9

3, 240

4, the farmer sold 33.3 of his crops

5, 750 students are enrolled.

Answer:

1. 8 is 33.3333333% of 24. 2.  63% of 130 is 81.9. 3. 36 is 15% of 240. 4. 30.72% of crops. 5. 750 students

Step-by-step explanation:

Hope this helped you!! Give brainliest.

Answer:

the answer is B

Step-by-step explanation:

Answer is B

Answer:

Step-by-step explanation:

35

Answer:

4 and 17

Step-by-step explanation:

4 because 4^2 is 16 + 1 = 17 and the other # is 17 because 21-4 is 17

Answer:

6

Step-by-step explanation:

Using PEMDAS, you would first do the exponent which is equal to 9. the following it you would do 5x9 which is 45 and divide it by 3 which gives you 15. finally you subtract the 9 from 15 and get 6.

Answer:

6

Step-by-step explanation:

5 x 9 ÷ 3 - 3²

5 x 9 ÷ 3 - 9

45 ÷ 3 - 9

15 - 9

6

use PEMDAS for the order of operations.

Answer:

C

Step-by-step explanation:

I took a guess

Option B - The worker earns $8 per hour is the correct alternative.

We have a graph that shows the relationship between the number of dollars a worker earns and the number of hours worked.

We have to select the statement which best describes the rate of change for this situation.

The slope of a line can be calculated using -

[tex]$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

According to the question, we have two coordinate points marked on the graph -

P(20, 60)

Q(40, 320)

Using the formula to calculate the slope of a line, we get -

[tex]$m = \frac{320-160 }{40 -20 }[/tex]

m = 8

We know that the slope of the line represents the rate of change of y with respect to x. Therefore, the worker earns $8 per hour.

Hence, Option B is correct.

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Answer:

1. 2nd row multiplied by the 3 columns : 7x³ , -35 x²,42

2. 3rd row multiplied by the 3 columns :  -4x² , 20x ,-24

Step-by-step explanation:

The table requires you to perform multiplication of the terms

The product is as follows;

1. 2nd row multiplied by the 3 columns

7x * x² = 7x³

7x * -5x = -35 x²

7x * 6 = 42

2. 3rd row multiplied by the 3 columns

-4 * x² = -4x²

-4 * -5x = 20x

-4*6 = -24

Answer:

4

Step-by-step explanation:

25,437 --> twenty-five thousand, four hundred and thirty seven

Answer:

are 10 hours

Step-by-step explanation:

The reason its 10 hours is because on the lower right of the document it says 10.

Answer:

c

Step-by-step explanation: