Given the definitions of f(x) and g(x) below, find the value of g( f(1) ).

f(x)= 3x^2-7x+6
g(x)= 4x-5

Answers

Answer 1

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[tex]f(x) = 3 {x}^{2} - 7 x+ 6[/tex]

[tex]f(1) = 3 ({1})^{2} - 7(1) + 6[/tex]

[tex]f(1) = 3 - 7 + 6[/tex]

[tex]f(1) = 9 - 7[/tex]

[tex]f(1) = 2[/tex]

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[tex]g(x) = 4x - 5[/tex]

[tex]g(f(1)) = g(2) = 4(2) - 5[/tex]

[tex]g(2) = 8 - 5[/tex]

[tex]g(2) = 3[/tex]

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Related Questions

Is (5, 7) a solution to the equation y = x + 2?

Answers

Answer:

5 + 2 = 7.

Step-by-step explanation:

If you mean the other way around then no.

2 + 7 doesn't equal 5.

Answer:

Yes i agree- 5+2=7 if you mean it that way

Step-by-step explanation:

The circumference of a circle is 10 inches. What is its area in square inches?

Answers

Answer:

7.96 square inches.

Step-by-step explanation:

Area of a circle given a circumference is given by formula:

[tex]A = \frac{C^{2}}{4\pi}[/tex]

So substituting into equation we have: [tex]C= 10[/tex].

Therefore [tex]A = 10^{2}/4\pi = 100/4\pi=25/\pi =7.96[/tex] square inches.

The area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The circumference of a circle is 10 inches.

As we know the circumference of a circle is given by:

C = 2πr

C is the circumference of the circle.

r is the radius of the circle.

10 = 2πr

r = 5/π inches

As we know,

The area of the circle is given by:

A = πr²

Here, A represents the area of the circle.

Plug the value of the radius r in the above formula:

A = π(5/π)²

A = 25/π square inches

Take π = 3.14

A = 25/3.14

A = 7.96 sqaure inches

Thus, the area of the circle is 7.96 square inches if the circumference of a circle is 10 inches.

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PLEASE HELP ME! (80 POINTS UP FOR GRABS!!)

Which table has a constant of proportionality between y and x of 4?

A.
B.
C.

Answers

Answer: A

Step-by-step explanation:

Answer: A-

Step-by-step explanation:

For an upcoming field trip, there will be 36 fifth graders and 48 sixth graders. Each van will carry the same number of students, and only students from one grade. If each van will carry the greatest possible number of students, how many vans will be needed?

Answers

Answer:

7 Vans will be needed

Step-by-step explanation:

It takes 12 men 5 days to complete a job
Work out how many days it would take 3 men to complete the same job

Answers

Answer: 8

Step-by-step explanation: i took the test

1.25 days would be taken for 3 men to complete the same job.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that 12 men 5 days to complete a job

We have to find for how many days three men can complete the same job.

Let x be the time taken by 3 men to complete the job.

Formulate a proportional equation.

12/5=3/x

Apply cross multiplication

12x=15

Divide both sides by 12

x=15/12

both 15 and 12 are multiples of 3

x=5/4

x=1.25

Hence, 1.25 days would be taken for 3 men to complete the same job.

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hey yall i need help again im just lazy but will mark brainlyest

Answers

Answer:

1) 1

2) 1

3) 5/6

4) 3/10

5) 5/6

6) 2/7

7) 3/8

8) 5/14

Simplify

3 /6 − 1/ 7 =

3 /6 − 1 /7 =

3 /6 + −1 /7 =

1 /2 + −1 /7 =

7 /14 + −2 /14 =

7+−2 /14 =

5 /14

(Decimal: 0.357143)

9) 2/9

10) 2/21

Step-by-step explanation:

Choose a linear function for the line represented by the point-slope equation y-5= 3(x - 2).
O f(x) = 3r+1
O f(x) = 3x - 1
O f(x) = &r + 10
O flac) = 8x - 10

Answers

Answer:

y = 3x - 1

Step-by-step explanation: All you have to do here is solve the equation for y. When you add 5 to both sides, you are left with 3(x-2) + 5. Now, you just have to open the parentheses, giving you 3x-6+5, or 3x-1.

What is the area and the circumference of a circle with the diameter 8 m

Answers

Answer:

the area is 50.27 meters squared

Step-by-step explanation:

At Break Time Bakery, donuts are 0.75 each and drinks cost $1.50 each. Which equation best represents y, total cost of purchasing x number of donuts and a drink?

Answers

Answer: B

Step-by-step explanation:

Answer:

B.)y = 1.50x + .75

Step-by-step explanation:

Mudrik installed a device on his car that
guaranteed to increase his gas mileage
by 15%. He currently gets 22 miles per
gallon. How much will the gas mileage
increase after installing the device?

Answers

Answer:

His mileage will increase 3.3 miles to the gallon

Step-by-step explanation:

Which graph represents y = tan-1x?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got it right on edge

For the function f(x) = x + 4, what is the ordered pair for the point on the graph where x = 3p?

Answers

Answer:

D. (3p, 3p + 4)

Step-by-step explanation:

Answer:

(3p, 3p + 4)

Step-by-step explanation:

Help me solve this problem

Answers

Answer:

k = 3

Step-by-step explanation:

8k - (6k - 4) = 10

8k - 6k + 4 = 10

2k + 4 = 10

2k = 10 - 4

2k = 6

k = 3

Answer:

k=3

Step-by-step explanation:

8k-(6k-4)=10

Multiply everything inside of the parentheses by the negative.

8k -6k -4=10

Combine like terms

2k - 4 = 10

Subtract 4 from both sides

2k = 6

Divide by 2 on both sides

k-3

YALLLL I NEEDDDD HELPPPPPPP LOOK QT THE PICTURE PLZZZ

Answers

Answer:

Angle A = 65 degrees, Angle B = 78 degrees

Step-by-step explanation:

Since a triangle always has its vertices add up to 180 degrees to be a triangle, we can setup an equation on how to solve it. Adding all the vertices together into a formula to equal 180 degrees gives you 5x-5 = 180. Solving this equation will grant you an answer of x = 37 degrees, and taking this value and plugging it in for each requested angle is how to find the exact degree value. Angle A will just be 2(37) - 9, which ends up to be 65 degrees. Angle B is just 2(37) + 4, which becomes 78 degrees. (You can check the answer by taking all values and adding them together to equal 180. 78 + 65 + 37 = 180.) Hope that helps!

Answer: ∠A = 65° ∠B = 78°

The sum of all interior angles = 180°. So, set 180 equal to the angles you were given (in this case, 2x-9, 2x+4, and x), and solve for x.

180 = (2x-9) + (2x+4) + x (combine the like terms)

180 = 5x - 5 (isolate 5x by moving -5 to the other side)

5x = 180 + 5

5x = 185 (divide both sides by 5 to isolate for x)

x = 37°

Then, sub in the value of x (in this case, 37°) into ∠A and ∠B.

∠A = (2x-9) = 2(37)-9 = 65°

∠B = (2x+4) = 2(37)+4 = 78°

∴ ∠A = 65° and ∠B = 78°.

Quadrilateral KLMN was reflected across y = -2. Find M.

Answers

Answer:

The picture states it is reflected across y = -x, which is different to y = -2 (maybe the question before's answer was 2? However this question is not linked)

If it is y = -x, the answer is (1, 1)

If it is y = -2, which I doubt, the answer is (-1, -3)

The twenty cards below are laying facedown on the table. One card is randomly picked.


Find P(pink or green).

Answers

Answer:

9/20 or 9:20 depending on how they want it written

Step-by-step explanation:

add pink and green cards [9] in relation to total cards [20]

Find the value of f(–2) for the function f(x) = 4x + 10.

A. –3
B. –2
C. 2
D. 18

Answers

Answer:

Step-by-step explanation:

f(-2) = 4(-2) + 10 = -8 + 10 = 2

answer is C

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Answers

Answer:

The Answer would be C, i think

Step-by-step explanation:

Bill bought 5 apples mary bought 2 apples and spent 1.86 for strawberrie. if the spent equal amounts write and solve the equation

Answers

Step-by-step explanation:

efzt8zgixhoch9cf8zgozohxigzigzgizigx

The cost of an apple was 0.62 cents.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

An equation says that two things are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, Bill bought 5 apples Mary bought 2 apples and spent 1.86 for strawberries. both the spent equal amounts, we need to write and solve the equation for the price of apples,

Let the cost of 1 apple = A

Bill bought = 5A apples

Mary bought=2A + 1.86

5A = 2A + 1.86

3A = 1.86

A = 1.86/3

A = 0.62 cents

Hence, the cost of an apple was 0.62 cents.

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If a pair of lines is intersected by Third line known as a transversal, then pairs of congruent angles are formed true or false

Answers

Answer:

true

Step-by-step explanation:

it forms eight angles

Given f(x) = 3x – 2 what is f (2x)?

Answers

Answer:

6x - 2

Step-by-step explanation:

f(2x) = 3(2x) - 2

f(2x) = 6x - 2

Answer:

I think it is   ---->  m = 3

Step-by-step explanation:

Mr. Brown cuts 3/4 inch sections of wood to make a birdhouse roof. He cut 36 sections. How many inches did he cut?

Answers

Answer:

27 Inches

Step-by-step explanation:

3(k - 5) + 9k 2-3 does anyone know how to solve this?

Answers

Answer:

=21k-18

Step-by-step explanation:

ILL GIVE BRAINLIEST 2 THE 1ST PERSON WHO ANSWERS

Answers

Answer:

b

Step-by-step explanation:

Dora, the school lunch manager, says that it takes 225 oranges to make 5 gallons of orange juice how many oranges does Dora need to make one gallon?

Answers

Answer:

45

Step-by-step explanation:

Since

5 : 225 = 1 : X

Then we know

225/5 = X/1

Multiplying both sides by 1 cancels on the right

1 × (225/5) = (X/1) × 1

1 × (225/5) = X

Then solving for X

X = 1 × (225/5)

X = 45

Therefore

5 : 225 = 1 : 45

Answer:45

Step-by-step explanation:well all you do is divide 5 from 225

ima just give all my points away.

P.S
I don't like you brainly.

Answers

Answer:

interesting

Step-by-step explanation:

Answer:

thx!

Step-by-step explanation:

Please help. Will give brainlist, it’s due soon.

Answers

Answer:

1) slope = -2

 y-int = -2

2) slope = y2-y1/x2-x1

*using (-12,19) and (-5,5)

slope = 19-5/-12--5

slope = 14 / -7

slope = -2

y-int = -5

3) slope = rise/run

slope = 4/2

slope = 2

y-int = 3

4) a) the weight of the package in pounds and the cost of shipping

   b) the cost of shipping of one pound

   c) slope = rise/ run

      slope = cost of  shipping / the weight of the package

      slope = 12/3

      slope = 4

   d) the price of shipping one pound

   e) the y-int = 0 when shipping 0 packages 0 dollars are paid

   f) the amount you pay when you ship 0 pounds

Answer:

slope = -2

y-int = -2

2) slope = y2-y1/x2-x1

*using (-12,19) and (-5,5)

slope = 19-5/-12--5

slope = 14 / -7

slope = -2

y-int = -5

3) slope = rise/run

slope = 4/2

slope = 2

y-int = 3

4) a) the weight of the package in pounds and the cost of shipping

b) the cost of shipping of one pound

c) slope = rise/ run

slope = cost of shipping / the weight of the package

slope = 12/3

slope = 4

d) the price of shipping one pound

e) the y-int = 0 when shipping 0 packages 0 dollars are paid

f) the amount you pay when you ship 0 pounds

Step-by-step explanation:

The output of a function is called the What variable

Answers

Answer:

Dependent

Step-by-step explanation:

The output of a function is the y value. This is also the dependent variable.

Can someone help me with these? I need some help.

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Answer:

1) [tex]\sqrt{569}[/tex]  2) 8   3) 0.8  4) [tex]\sqrt[10]{61}[/tex]

Step-by-step explanation:

The equation for pythagoream theorem is

a^2 + b^2 = c^2  (the caret "^" represents exponents)

A = a side length

B = another side length

C = the hypotnuse which is the slanted side of the right triangle.

To solve these problems plug in the known values into the equation then solve.

What expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2?

Answers

Answer:

Factor each coefficient into primes

Step-by-step explanation:

The Factor  expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2 is each coefficient into primes.

What is expression?1a: an action, procedure, or instance of representing something in a medium (like words): freedom of expression in speech. b This gift is meant to show how much I like you. (1): something that represents, embodies, or manifests another. (2): an important phrase or term.A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11 written as 8 + 3.The Factor  expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2 is each coefficient into primes.

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