All categories

2 years ago

Given f(x) 6x – 5 a) Evaluate f(5) f(5) b) Evaluate f( - 3) f(-3) =

1 answer:

8 0

We have the equation f(x)=6x-5 to start with
Now in order to answer the question we have to know that f(5) is the same thing as setting x=5 and solving for f(5)

(A) f(5) = 6(5) - 5 = 30 - 5 = 25
(B) f(-3) = 6(-3) - 5 = (-18) - 5 = -23

So f(5) = 25 and f(-3) = -23

You might be interested in

Which of the following is a which of the following is a rational number?

Nastasia [14]

Answer:

A. √25

General Formulas and Concepts:

Math

Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction

Step-by-step explanation:

Step 1: Define

A. √25

B. √123

C. √20

D. π

Step 2: Identify

A. √25 = 5; Rational

B. √123 ≈ 11.0905...; Irrational

C. √20 = 2√5 ≈ 4.47214...; Irrational

D. π ≈ 3.1415926535897932384626433832795...; Irrational

Therefore, our answer choice is A.

5 0

2 years ago

Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th

Ilya [14]

Answer:

13 1/3 and 6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' = 40x - 3x^2 = 0 for maxm/minm value.

x( 40 - 3x) = 0

40 - 3x = 0

3x = 40

x = 40/3.

This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.

So the 2 numbers are 13 1/3 and 6 2/3.

3 0

2 years ago

a group of 31 friends gets together to play a sport. first people must be divided into teams. each team has to exactly 4 players

azamat

We have the following values:
Total people: 31
People per team: 4
The number of teams will then be:
N = (31) / (4)
N = 7.75
Round to the previous whole number.
N = 7
There are 7 teams.
Answer:
they can make about 7 teams.

3 0

3 years ago

Please help I don’t understand

marta [7]

Answer:

x = 5

Step-by-step explanation:

The 2 strokes through XM and MY indicate the segments are congruent, so

YM = MX , that is

8x - 24 = 3x + 1 ( subtract 3x from both sides )

5x - 24 = 1 ( add 24 to both sides )

5x = 25 ( divide both sides by 5 )