if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
f(g(x))=__x^2+__x+__

Iff(x)=x^2+2x-4and G(x)=3x+1 Find F(g(x))=__x^2+__x+__

Answers

Answer 1

Step-by-step explanation:

f(x) = x² + 2x - 4

g(x) = 3x + 1

f(g(x)) = f(3x + 1)

f(3x + 1) = [3x + 1]² + 2[3x + 1] - 4

= 9x² + 6x + 1 + 6x + 2 - 4

= 9x² + 12x -1


Related Questions

i need helpppppppppppppppppppp

Answers

Answer:

6

Step-by-step explanation:

what is the smallest two digit positive integer such that the product of its two digits is one-half the integer

Answers

Let x be the tens and y be the ones digits.

The product of the number is then: 10x + y

The product is 1/2, so you need to multiply the product by 2 and the number:

10x + y = 2(x+y)

10x + y = 2x + 2y

Subtract 1 y from both sides

10x = 2x + y

Subtract 2x from

Both sides

8x = y

X has to be 1 , which would make y 8

The product number becomes 18

Since the product is 1/2, multiply by 2:

18 x 2 = 36

3 x 6 = 18

The answer is 36

if it is 2:30 what time would it be 1 hour and 30 minutes

Answers

Answer:

4:00

Step-by-step explanation:

If it’s 2:30 it would be 4:00 in an hour and a thirty minutes ahead

What is 15 to the 7 power divided by 15 to the 4 power equal to?

Answers

Answer:

3375

Step-by-step explanation:

Solve.
4 + x/7 = 2

A) -14
B) 10
C) 12
D) 42

Answers

Answer:

the answer is A

-14

Step-by-step explanation:

subtract 4 in both sides

Answer:

X= -14

Step-by-step explanation:

SUBTRACT 4 FROM BOTH SIDES OF THE EQUATION.

SIMPLIFY

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Multiply the numbers

THEN AFTER YOU DO THESE STEPS YOU WILL GET THE SOLUTION ABOVE.

Need Help!! because im confused

Answers

Answer:

3g+20

Step-by-step explanation:

Because Milena wants to have 3 cups per each guest and then she wants an additional 20 more.

Answer:

C. 3g+20

Step-by-step explanation:

The answer here is 3g+20.

Their will be an additional 20 cups of punch, which is addition.

Write 9.1 as a mixed number and as an improper fraction.
Do not try to simplify your answers.

Answers

Answer:  9 1/10      91/10

Step-by-step explanation:

Answer:

9 1/10 and 91/10

Step-by-step explanation:

hope it helps :)

brainliest pls? have a good day/night

The density of a substance can be found by dividing the mass of the substance by the volume of the substance. A sheet of pure iron has a mass of 500 grams and a volume of 4 in3. Write an equation of the form m=dv, where m represents the mass of a sheet of iron in grams, v represents the volume of a sheet of iron in cubic inches, and d is a constant, the density of iron in grams per cubic inch

Answers

Answer:

D=375g/cubic inch

Step-by-step explanation:

D=500 divided by 4/3

Solve for f.
Round your answer to 2 decimals.
9f = {(12f – 2)

Answers

Answer:

f=0.67

Step-by-step explanation:

Let's solve your equation step-by-step by isolating f.

9f=12f−2

Step 1: Subtract 12f from both sides.

9f−12f=12f−2−12f

You get:

−3f=−2

Step 2: Divide both sides by -3.

−3f/−3 = −2/−3

You get:

f= 2/3, or f= 0.67

Hope this helps! :)

Johnathon is planting potatoes and carrots in his
garden. He has 30 potato plants and 50 carrot plants.
He wants to distribute the two types of plants equally
among the rows.
What is the greatest number of rows he can make?

Answers

Answer: 3

Step-by-step explanation: well if he does rows of 10 then it will have to be 3   and he will have 20 potato plants left over.

here are the first four terms in a sequence: 6, 10, 14, 18

the number 102 is NOT a term in this sequence. explain why.


thanks :)

Answers

Answer:

common difference = 4

if 102 is a term in sequence n should have non decimal value

a +(n-1)d = 102

0r 6 + (n-1)4= 102

0r, 4(n-1) = 96

or n-1 =24

n =25

102 is in a sequence

Step-by-step explanation:

Simplify: 6-8+7-2-8+13

Answers

Answer:

The answer is 8.

Step-by-step explanation:

6-8+7-2-8+13

= (6 +7 + 13) - (8+2+8)

= 26 - 18

= 8

Find the distance between the two points rounding to the nearest tenth (if necessary)

(-3,3) and (-1,5)​

Answers

Answer:

The answer is

2.8 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,3) and (-1,5)

The distance is

[tex]d = \sqrt{( { - 3 + 1})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 2})^{2} + ( { - 2})^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{2} \: \: \: \: \: \: \\ = 2.82842[/tex]

We have the final answer as

2.8 units to the nearest tenth

Hope this helps you

Solve the compound inequality 2.1 – 3 < 7 and 5 - 3 < 8

Answers

Step-by-step explanation:

2.1--3<7.

--0,9<7

true

5--3< 8

2<8

true

Read the word problem below.

Answers

The answer is: if x represents the number of pencils per box, solve the equation 8x+4=196

Answer:

Step-by-step explanation:

Number 4

if x represent the numbers of pencils per box solve the equation 8x4=196

so,she put 4 in each box

Find the distance between the points (-4, 6) and (3, -7)

Answers

Answer:

the distance between (-6,4) and (3,-8) is 15 units

Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol?

Answers

Answer:

Yes

Step-by-step explanation:

I had this same question on a quiz and it is correct!

The square root of a number is equal to another number that when squared is equal to the original number.

Now we want to see if Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol, and we will see that yes, this is true.

To see that this is true:

For example, if the A and B are two numbers larger than 0, such that:

A > B

Then:

√A > √B

For example let's use A = 9 and B = 4.

9 > 4

And obviously the roots are:

√9 > √4

3 > 2

So yes, we can compare and order square roots by comparing the numbers inside of it.

If you want to learn more, you can read:

https://brainly.com/question/1387049

1. Jack is 30 years old and Alice is 35 years old. What percent of Alice's age is Jack, rounded to the nearest tenth of a percent? ​

Answers

the answer would be 57percent

What is the solution to -1-7?
++
+
-10 -9 -8 -7 -6 -5 4 -3 -2 -1 0 1
+++
2 3 4 5 6 7 8 9 10
do do
O 6
O 8

Answers

Answer:

-8

Step-by-step explanation:

We can rewrite as - (1+7) = -8.

Javier used the expression below to represent his score in a game of mini-golf.

3x + x + 5 – 2x

If he simplifies the expression, which statements are true about the parts of the simplified expression? Select three options.

Answers

Answer:

I don't get it

Step-by-step explanation:

Evaluate (2 - 5 i) (p + q) (i) when p = 2 and q = 5 i

Answers

Answer:

29i

Step-by-step explanation:

https://socratic                 .org/questions/how-do-you-evaluate-2-5i-p-q-i-when-p-2-and-q-5i#304498

If you want a description, copy that into your browser and take out the spaces between "socratic" and ".org".

Answer:

A

Step-by-step explanation:

2xy-xz=4 solve for x


Pls help due today

Answers

Hey there!

[tex]Answer:\boxed{x=\frac{4}{2y-z}}[/tex]

[tex]Explanation:[/tex]

[tex]2xy-xz=4[/tex] Solve for X

x(2y - z) Factor out the variable x

x(2y - z)/2y - z = 4/2y - z Divide both sides by 2y - z

x = 4\2y - z

Hope this helps!

what is 50 divided by 1

Answers

50 divided by 1 would be 50.

Solve by elimination:
4x+9y=28
-4x-y=-28

Answers

Step-by-step explanation:

4x+9y=28

-4x-y=-28

8y=0

divide both side by 8

y=0

solve for X in equation 1

4(X)-9(0)=28

4x-0=28

4x =28

divide both side by 4

4x/4=28/4

X= 7

y=0,x=7

Point M is the midpoint of line AB. If M is at (6,-2) and A is at (-3,0), what are the coordinates of endpoint b?

Answers

Answer:

Step-by-step explanation:

(x + 6)/2 = -3

x + 6 = -6

x = -12

(y - 2)/2 = 0

y - 2 = 0

y = 2

(-12, 2)

Need help asap please! Thanks!

Answers

The diagram tells us 3 things: the right angle and the two corresponding side measurements. Because the side measurements are corresponding, we can set a proportion:

6/9=9/15

If this proportion is true, it means the triangles are similar. If this proportion is impossible, it means the triangles are no similar.

To calculate this, we use cross multiplication.

6/9=9/15

6*15=9*9
90=81

90 does not equal 81 making this proportion impossible, which concludes that these two triangles are not similar.

I hope this helps! Please comment if you have any questions.

What is the value of y in the equation 5x + 2y = 20, when x = 0.3?

Answers

Answer:

9.25

Step-by-step explanation:

5(0.3) = 1.5

20-1.5=18.5

18.5÷2=9.25

Answer:

y = 9.25

Step-by-step explanation:

5x + 2y = 20

when x = 0.3 we have

5(0.3) + 2y = 20

1.5 + 2y = 20

Using the subtraction property subtract 1.5 from both sides of the equation

That's

1.5 - 1.5 + 2y = 20 - 1.5

2y = 18.5

Divide both sides by 2

[tex] \frac{2y}{2} = \frac{18.5}{2} [/tex]

We have the final answer as

y = 9.25

Hope this helps you

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Answers

Answer:

$16

Step-by-step explanation:

2x5=10+6=16

Answer:

So if the pizza is just 6$

and every topping is 2$ each (expensive!)

2$ x 5$ = 10$

So 6$ + 10$ = 16$

Solution: In total, the pizza (with toppings) would be 16$

Second attempt at getting this answered Please check the attachment

Answers

Answer:

Step-by-step explanation:

-18x+240 , the length of PA is 9x + 120 the length of AQ is 9x +120

The length of PQ is -18x+240

Write an equation in slope intercept form for the line that passes through the point with the given slope. point: (4,2) and m=3

Answers

Answer:

3x/10 - y/10 = 1

Step-by-step explanation:

(y-2)/(x-4)=3

y-2=3x-12

y-3x= -12

3x/10-y/10=1

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