Which function represents a horizontal shift of ƒ(x) = 5(2)^3x by 4 units to the right?a. y = 0
b. y = 3
c. y = 4
d. y = 5

Answers

Answer 1

Answer:

General Idea:

Say if f(x) is the parent function, then f(x-c) represents transformation described as horizontal translation or shift of f(x) by ' c ' units to the right.

Applying the concept:

Here we are given a function $f(x)=5(2)^(3x)$ , after the transformation of horizontal shift of 4 units to the right, the function will be given as below:

$f(x)=5(2)^(3(x-4))=5(2^(3))^(x-4)=5(8)^(x-4) \n or\n f(x)=5(2)^(3x-12)$

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If f(x) = 5x + 40, what is f(x) when x = –5?
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Use the Special Right Triangle to evaluate sin 60°, cos 60° and tan 60°. Your answers should be exact (not a decimal).A. sin 60 = 1/2, cos 60 = √3/2, tan 60 = √3/3
B. sin 60 = √2/2, cos 60 = √2/2, tan 60 = 1
C. sin 60 = 1, cos 60 = 0, tan 60 = undefined
D. sin 60 = √3/2, cos 60 = 1/2, tan 60 = √3

Answers

sin(60) = ¹/₂√3
cos(60) = ¹/₂
tan(60) = √3

The answer is D.

Answer:

The answer is D.

Step-by-step explanation:

Steve is turning half of his backyard into a chicken pen. His backyard is a 24-meter by 45-meter rectangle. He wants to put a chicken wire fence along the west side of the yard, the south side of the yard, and along the diagonal connecting the northwest to the southeast corner of the yard. How many meters of fencing will Steve need to fully enclose this area?

Answers

The diagonal line is equal to $\sqrt{24^(2) + 45^(2) }$ using pythagoras' theorem of $a^(2) + b^(2) = c^(2)$ . This gives us a value of 51m for the diagonal line.

TOTAL; 51+24+45=120m of fencing

Answer:

51 meters

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the diagonal line.

The equation for the Pythagorean Theorem is

a^2 + b^2 = c^2a

a, squared, plus, b, squared, equals, c, squared

where aaa and bbb are the lengths of the two legs of the triangle, and ccc is the length of the hypotenuse.

In this case a=24,b=45,a=24,b=45,a, equals, 24, comma, b, equals, 45, comma and c=xc=xc, equals, x.

Hint #33 / 4

\begin{aligned} 24^2+45^2 & = x^2\\ 576+2025 & = x^2\\ 2601 & = x^2\\ \sqrt{2601} & = x\\ 51 & = x \end{aligned}

+45

576+2025

2601

Hint #44 / 4

Steve will need 515151 meters of fencing.

which fraction is halfway between 1/2 and 5/6? A. 2/3 B. 4/3 C.3/5 D.7/12 And another question Arrange these numbers from least to greatest: -3/7, -5/6, -3/5, and -7/9 ?

Answers

1st Question:

1/6, 2/6, 3/6 = 1/2, 4/6, 5/6, 6/6.

Halfway between 1/2 and 5/6 is 4/6 = 2/3.

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2nd Question: Could've been worked out on a calculator.

-5/6, -7/9, -3/5, -3/7

What is the value of the function at x=−2? y=−4 y equals negative 4 y = 0 y, = 0 y = 2 y = 2, y = 3

Answers

Based on the graph which models the function at x = -2 (see attachment), the corresponding y-value is y = 3.

What is a function?

In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.

In this scenario, there are several values (points) on the given linear graph expressed as a coordinate (x, y). Hence, the x-values on the x-axis is directly proportional to the y-values on the x-axis.

By critically observing the graph which models the function at x = -2 (see attachment), we can logically deduce that the corresponding y-value is three (3).

Read more on function here: brainly.com/question/4246058

#SPJ1

Answer:

Ik im late but yea

Step-by-step explanation:

I took the test :O

Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about an axis lying in its plane. True or false?

Answers

Answer – TrueA design is said to have Rotational symmetry if all its characteristics remain the same after it has been rotated about an axis lying in its plane. In other words, rotational symmetry is the quality possessed by a shape has when it looks the same after it has undergone some rotation by a partial turn about an axis lying in its plane. Rotational symmetry is also referred to as radial symmetry.

Answer: FALSE

Step-by-step explanation:

the other person was wrong.

For the school play , adult tickets cost $4 and children cost $2. Natalie is working at the ticket counter and just sold $20 worth of tickets. What are all of the possible ticket combinations for $20 worth tickets?