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1 year ago

What are the domain,range,and asymptote of h(x=6^x-4

1 answer:

4 0

Hey friend! Let me see what I can do for you!
~
The exponential form that you have listed does not nor will it ever contain any Vertical Asymptotes.
However it does have a Horizontal Asymptote. In order to find that we will use the form of y = k where k = 0 making 0 our Horizontal Asymptote.
For the domain we don't have any defined/undefined points so, I assume the kind of answer you are looking for is all real numbers. As the value we would get would be.. $-\infty \ \textless \ x \ \textless \ \infty$
For the range we use the format f(x) > k where we know k = 0, therefore our range is f(x) = 0. Or infinity. 0 is most applicable.

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Which of these conditions might be true if polygons ABCD and KLMN are similar? The measures of corresponding angles of ABCD and

AlexFokin [52]

Answer: The correct option is

(A) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.

Step-by-step explanation: We are given to select the correct condition that might be true if polygons ABCD and KLMN are similar.

Two polygons are said to be SIMILAR if corresponding angles are congruent and corresponding sides are proportional.

So, options (B), (C), (D) and (E) are not correct because they contradict conditions of similarity.

In option (A), we have

The measures of corresponding angles of ABCD and KLMN are equal. So, they must be congruent.

And the lengths of corresponding sides of ABCD are half those of KLMN.

So, we can write

$AB=\dfrac{1}{2}KL,~~BC=\dfrac{1}{2}LM,~~CD=\dfrac{1}{2}MN,~~AD=\dfrac{1}{2}KN\\\\\\\Rightarrow \dfrac{AB}{KL}=\dfrac{BC}{LM}=\dfrac{CD}{MN}=\dfrac{AD}{KN}=\dfrac{1}{2}.$

Therefore, the corresponding sides are proportional.

Thus, option (A) is true if two polygons are similar.

3 0

1 year ago

Read 2 more answers

Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.

Darina [25.2K]

C(p) = 0.42p <== ur function

3 0

2 years ago

Read 2 more answers

Each type of cable has a prescribed bend radius , which is the radius of the maximum arc into which you can loop a cable without

tiny-mole [99]

The question is asking whether it is true or false so my answer is true.

7 0

1 year ago

14. Marian wants to buy a double scoop of ice cream. The ice cream shop has 23 flavours, which can be served in a regular cone,

aksik [14]

Answer:

Marian can order 1,771 combinations

Step-by-step explanation:

In this question, we are interested in calculating the number of combinations Marian can order given that there are 23 flavors that can be served in three ways.

Mathematically, the number of combinations that can be ordered is simply 23C3

This is equal to 23!/(23-3)!3! = 23!/20!3! = 1,771

The number of combinations she can order is thus 1,771 combinations

3 0

1 year ago

Peter has twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 Stickers altogether. How many sticke

GarryVolchara [31]

Answer:

170

Step-by-step explanation:

Equations derived from given info.

P=2J
J=E+40
P+J+E=300

Use some substitution now.

P=2(E+40)
J=E+40
P+J+E=300

Substitute first and second equation into third.

2(E+40)+E+40+E=300
2E+80+E+40+E=300
4E+120=300
4E=180
E=45

Emily has 45 stickers. But we want to know what Peter has.

Use P=2(E+40)

P=2(45+40)
P=90+80
P=170

Peter has 170 stickers.

4 0

2 years ago