Calculate f(4) for each function below

Answers

Answer 1

Answer:

The question is about Evaluating Functions and to calculate f(4) for each function, we substitute 4 into the function and simplify. The values of f(4) for the given functions are: a) 16, b) 12, c) 5.6569, d) 0, e) 8, f) 44y.

Evaluating functions involves determining the output (or value) of a mathematical function for a given input (or argument). It's done by substituting the input value into the function's equation and solving for the result. In the context of functions like f(x), you replace 'x' with the specific value you want to assess. This process helps analyze how a function behaves, finding its y-value or dependent variable. Evaluating functions is crucial in various fields, such as mathematics, science, and engineering, to understand relationships and make predictions based on input-output mappings.

To calculate f(4) for each function, we substitute 4 into the function and simplify. Let's calculate:

a) f(x) = x2
Substitute 4 into the function:
f(4) = 42 = 16

b) f(x) = √144
Substitute 4 into the function:
f(4) = √144 = 12

c) f(x) = √32
Substitute 4 into the function:
f(4) = √32 ≈ 5.6569

d) f(x) = 3x - 12
Substitute 4 into the function:
f(4) = 3(4) - 12 = 0

e) f(x) = (x - 2)^3
Substitute 4 into the function:
f(4) = (4 - 2)^3 = 8

f) f(x) = 4xy + 7xy
Substitute 4 into the function:
f(4) = 4(4)y + 7(4)y = 16y + 28y = 44y

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Answer 2

Answer: Subtitute x = 4 to the equations:

$b)\ f(x)=\left((1)/(5)\right)^x\to f(4)=\left((1)/(5)\right)^4=(1^4)/(5^4)=(1)/(625)\n\nc)\ f(x)=3x-12\to f(4)=3\cdot4-12=12-12=0\n\nd)\ f(x)=(x-2)^3\to f(4)=(4-2)^3=2^3=8$

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Translate words to mathematical expressions : 3 times a number

Answers

Answer:

3x the answer with 3x

Josie bought a new mirror. The mirror has 5 sides. What is the shape of the mirror? Hexagon B. C. D. Square Pentagon Heptagon 18. The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window? A. B. C. D. 20 inches 40 inches 15 inches 60 inches

Answers

The mirror has 5 sides. Its shape is a pentagon. Penta means 5.

Perimeter of a church window is 80 inches. If the window is square shaped, its length of each side is 20 inches.

80 inches / 4 sides = 20 inches.

The shape of the mirror is Pentagon.

18. the length of each side of the church window is 20 inches, option A is correct.

Josie's mirror has 5 sides, which means it is a polygon with five edges.

The specific term used to describe a polygon with five sides is a pentagon.

A pentagon is a geometric shape with five sides and five angles. Each side of a regular pentagon is of equal length, and each interior angle measures 108 degrees.

In the case of Josie's mirror, since it has 5 sides, it is referred to as a pentagon.

18. Given that the church window has a perimeter of 80 inches and it is in the shape of a square.

We can find the length of each side by dividing the perimeter by 4 (since a square has four equal sides).

Perimeter = 4 × Length of each side

80 inches = 4 × Length of each side

Dividing both sides by 4:

Length of each side = 80 inches / 4

= 20 inches

Therefore, the length of each side of the church window is 20 inches.

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Solve by multiplication and addition. Show each step of your work. 4x – 3y = 11
3x + y = 18

Answers

basically eliminate
try eliminate y's
multiply second equaiton by 3
9x+3y=54

add to other equation
4x-3y=11
9x+3y=54 +
13x+0y=65

13x=65
divide 13 both sides
x=5

sub back
3x+y=18
3*5+y=18
15+y=18
minus 15
y=3

x=5
y=3
(5,3)

A jar contains only pennies, nickels, dimes, and quarters. There are 14 pennies, 28 dimes, and 16 quarters. The rest of the coins are nickels. There are 70 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?

Answers

Answer:

Step-by-step explanation:

Let n represent the number of nickels in the jar.

The jar contains only pennies, nickels, dimes, and quarters. There are 14 pennies, 28 dimes, and 16 quarters. This means that the total number if pennies, dimes and quarters would be

14 + 28 + 16 = 58

This means that the number of coins that are not nickel is 58

The total number of coins in the jar is 70. Therefore, the equation that can be used to find n is

n + 58 = 70

n = 70 - 58

n = 12 nickels

The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid. a. ( 48 + 48 $\pi$ ) $cm^(2)$
b. ( 48 + 15 $\pi$ ) $cm^(2)$
c. ( 48 + 30 $\pi$ ) $cm^(2)$
d. ( 24 + 15 $\pi$ ) $cm^(2)$