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3 years ago

Find the equation of the exponential function represented by the table below:

Mathematics

1 answer:

Elden [556K]3 years ago

7 0

Answer:

The equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

Step-by-step explanation:

We know the equation of exponential function such as

$f(x) = ab^{x}$

Put x=0, and y=2 in the function

$2 = ab^{0}$

$2 = a$

Also x=1, and y=8 in the function

$8 = 2b^{1}$

$b=4$

Thus,

$f(x) = ab^{x}$

$= 2(4)^{x}$

Therefore, the equation of the exponential function represented by the table will be:

$f(x)= 2(4)^{x}$

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Triangle BCD~ Triangle SQR. What Is Angle S?

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Answer: The measure of angle S is 62 degrees.

There are 2 ways to find the answer.

First, the triangles are similar. That means that all the angles will be the same. Since, angle S is corresponding to angle B, it will have the same measure.

Second, there are always 180 degrees in a triangle. Therefore, we can write and solve the following equation about the angles in triangle SQR.

x + 41 + 77 = 180
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3 years ago

A bag has 12 red marbles and 6 green marbles. Half of the green marbles are made of plastic. A marble is selected at random from

Degger [83]

Answer:

1/6 is the probability of it being a green plastic marble.

Step-by-step explanation:

Note that there are 18 marbles in all (12 + 6 = 18).

Half of the green marbles (6) are made of plastic: 6/2 = 3

From the information above, we see that 3 green marbles are made of plastic. There are 18 marbles in all.

Divide, and simiplify.

(3/18)/(3/3) = 1/6

1/6 is the probability of it being a green plastic marble.

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3 years ago

Plz help me with this

il63 [147K]

Answer:

the third one

Step-by-step explanation:

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3 years ago

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KIM [24]

Answer:

blue

Step-by-step explanation:

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3 years ago

Read 2 more answers

It's 2:22 in the morning for me. I'm tired but my dreams scare me. I have a huge Math anet (Test) in 6 hours. I already understa

KonstantinChe [14]

First, the best advice I can give you is to go to sleep. You pretty much know what you know, and being well-rested will help you think clearly, recall details, and avoid careless mistakes.

1)
$=(5 \times 10^3)+(2 \times 10^2)=(50 \times 10^2)+(2 \times 10^2)\\=10^2(50+2)=52 \times 100 = 5200 = 5.2 \times 10^3$

2)

$=(5 \times 10^2) \times (5 \times 10^3)=5^2 \times 10^5 \\= 25 \times 100,000 = 2,500,000 = 2.5 \times 10^6$

3) Yes, dilating with a scale factor that is less than 1 (and greater than 0) corresponds to a decrease.

4) Yes, dilating with a scale factor greater than 1 corresponds to an increase.

5) To find the slope of a scatter plot, you need to make a line of best fit, that is, the line that passes through as many points as possible and has about as many points above it as below it. Then, find two of those points that the line passes through and calculate the slope between those points. For two points $(x_1,y_1)$ and $(x_2,y_2)$ , the slope is
$m= \dfrac{y_2-y_1}{x_2-x_1}$ .

This is an estimate. To find a better approximation, you can use the least-square method, but I think that probably involves higher-level math that you don't need. If you think you do need to solve it this way, just comment here and I'll explain it. Note that you can also calculate it using Microsoft Excel or a regression plot on a graphing calculator.

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3 years ago