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3 years ago

F(x) = 4-x2 and g=(x)=2x+5 what is the value of (f(g(-2))

Mathematics

1 answer:

alukav5142 [94]3 years ago

7 0

Answer:

f(g(-2)) = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions

Function Notation
Composite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4 - x²

g(x) = 2x + 5

Step 2: Find g(-2)

Substitute in x [Function g(x)]: g(-2) = 2(-2) + 5
Multiply: g(-2) = -4 + 5
Add: g(-2) = 1

Step 3: Find f(g(-2))

Substitute in x [Function f(x)]: f(g(-2)) = 4 - (1)²
Evaluate exponents: f(g(-2)) = 4 - 1
Subtract: f(g(-2)) = 3

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An office room is 12 ft by 10 ft with a door that is 30 inches wide. How many feet of baseboard are needed to go around the room

Lina20 [59]

Draw a diagram to illustrate the problem as shown below.
The length of baseboard needed is AB + BC + CD + DE + FE.
Note that 30 in = 30/12 ft = 2.5 ft.

Because of the door opening,
AB + EF = 12 - 2.5 = 9.5 ft
Also,
BC = DE = 10 ft
CD = 12 ft.

The amount of baseboard needed is
AB + BC + CD + DE + FE
= (AB + EF) + BC + CD + DE
= 9.5 + 10 + 12 + 10
= 41.5 ft

Answer:
41.5 feet of baseboard.

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4 years ago

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yuradex [85]

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3 years ago

A fence completely surrounds a pool,that is 30 feet by 10 feet.what is the approximate length,in feet,of the fence

tamaranim1 [39]

Because the fence's dimensions is 30 feet by 10 feet, you can assume that one side of the pool is 30 feet while the other, non-congruent side, is 10 feet. The formula for perimeter, which you are trying to find, is 2L+2W=P. In this problem, 30 will be your L and 10 will be your W. Therefore, 2(30) +2(10)=80.

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3 years ago

5 = 5(y - 2) A. -3 B. 3 C. -1 D. 1

Bess [88]

Answer:

Its 3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

6x-5y=15 x=y+3 find x and y

arlik [135]

Answer:

(0, -3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

Substitute in x: 6(y + 3) - 5y = 15
Distribute 6: 6y + 18 - 5y = 15
Combine like terms: y + 18 = 15
[Subtraction Property of Equality] Subtract 18 on both sides: y = -3

Step 3: Solve for x

Define original equation: x = y + 3
Substitute in y: x = -3 + 3
Add: x = 0

7 0

3 years ago