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fenix001 [56]
3 years ago
12

Which of the following exponential functions represents the graph below?

Mathematics
1 answer:
mario62 [17]3 years ago
3 0

Answer:

the graph corresponds to function "D"  f(x)=3\,(\frac{1}{5} )^x

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5

while function D at x = 0 gives:

f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3

Therefore, the graph corresponds to function "D"

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Rhombus ABCD with vertices A(2, 6), B(6, 7),<br> C(5, 3), and D(1, 2): 180°
Korvikt [17]

Answer:

Step-by-step explanation:

Rule for the rotation of a point 180° about the origin is,

(x, y) → (-x, -y)

Therefore, images of the points after the rotation of 180° will be,

A(2, 6) → A'(-2, -6)

B(6, 7) → B'(-6, -7)

C(5, 3) → C'(-5, -3)

D(1, 2) → D'(-1, -2)

Now we can plot these points on the graph as attached.

6 0
3 years ago
Steve drove 9 1/2 hours at 66 miles per hour. What distance, in miles, did he travel?
Lynna [10]

Answer:

627 miles

Step-by-step explanation:

66×9.5=627 miles

7 0
3 years ago
Expreessions represent The sum of 3 and n
weeeeeb [17]

Answer:

3+n

Step-by-step explanation:

Simple questions but it can be technical atimes, according to the question we are to solve in terms of n, simple...

The sum of 3 and n can be written as 3+n

This cannot be solved further because there are two different variables and it is impossible to add them together

Therefore the final answer is 3+n

But in case a value is given for n we can then substitute and solve further

Hope this will help you

6 0
3 years ago
Read 2 more answers
Please please help please please help me please please help please please
USPshnik [31]

Answer:

Q2) A 0.5//// B 0.11//// C 1.7//// D 1.15//// E 2.13//// F 4.1

5 0
3 years ago
PLEASE HURRY !!
irakobra [83]

Answer:

49

Step-by-step explanation:

So it seems theres some sort of pattern. When you mutiply 7 by 3 you get 21. When you multply 5 by 7 you get 35. So basically 7 times 7 would be 49. Correct me if im wrong.

7 0
3 years ago
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