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3 years ago

Let f(x) = 6x2 + 5 and g(x) =3x -5. Find g(f(2))

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

Answer:

g(f(2)) = 82

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 6x² + 5

g(x) = 3x - 5

Step 2: Find g(f(2))

f(2)

Substitute: f(2) = 6(2)² + 5
Exponents: f(2) = 6(4) + 5
Multiply: f(2) = 24 + 5
Add: f(2) = 29

g(f(2))

Substitute: g(29) = 3(29) - 5
Multiply: g(29) = 87 - 5
Subtract: g(29) = 82

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Here is a diagram and its corresponding equation. Find the solution to the equation.

fomenos

Answer:

The solution to the equation is:

x = 2.5 or x = 5/2

Step-by-step explanation:

To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:

Equation: 4(x+7) = 38

And we solve:

4x + 28 = 38 (we multiply 4 by x and 7)
4x = 38 - 28 (we pass the +28 to subtract to the right side of the equality and operate)
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As you can see, the solution of the equation is x = 2.5 or x = 5/2

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3 years ago

What is 3/4 over 100 as a decimal and percent

Andreyy89

You put 0.75/100 and when u divide u get 0.0075

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3 years ago

At the school carnival, students are asked to guess the number of marbles in a jar to win a prize. There are 240 marbles in the

Lapatulllka [165]

There is 17% error in the guess.

Step-by-step explanation:

Given,

Number of marbles in jar = Exact value = 240

Closest guess = Approx Value = 280

Percent error = $\frac{|approx-exact}{exact}*100$

Percent error = $\frac{|280-240|}{240}*100\\$

Percent error = $\frac{|40|}{240}*100$

Percent error = $\frac{4000}{240}=16.67\%$

Rounding off to nearest whole percent

Percent error = 17%

There is 17% error in the guess.

Keywords: percentage, division

Learn more about percentage at:

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3 years ago

Lionel uses two functions to model the costs of having a problem diagnosed and repaired by two appliance repair companies. He mo

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The function (119x + 171) represents the amount, in dollars. Lionel will save 409 $ if he uses Quality Electric for a repair needing 2 hours of labor.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The system of equations are;

p(x) = 68x + 81.

q(x) = 51x + 90.

So,

p(x) + q(x) = 68x + 81 + 51x + 90

p(x) + q(x) = 119x + 171

The function (119x + 171) represents the amount, in dollars, Lionel will save by having Quality Electric handle an x-hour repair instead of Phil’s Appliances.

p(x) + q(x) = 119x + 171

x= 2 hours

p(x) + q(x) = 119 (2) + 171

p(x) + q(x) = 409

Lionel will save 409 $ if he uses Quality Electric for a repair needing 2 hours of labor.

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2 years ago

Whats the sum of fifty-two and a number

Nadya [2.5K]

The answer would be 52+n
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3 years ago

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