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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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

y = 3x - 1

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Answer:

Angle A = 65 degrees, Angle B = 78 degrees

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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!

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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)

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Step-by-step explanation:

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true

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Answer:

1) 1

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5 + 2 = 7.

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If you mean the other way around then no.

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Answer:

Factor each coefficient into primes

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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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7.96 square inches.

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The circumference of a circle is 10 inches.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer: 8

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

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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

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3) slope = rise/run

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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

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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.

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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,

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The output of a function is called the What variable

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Answer:

Dependent

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

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