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babymother [125]
3 years ago
7

The given line passes through the points (0, −3) and (2, 3).

Mathematics
1 answer:
Fed [463]3 years ago
4 0
If the 2 lines are parallel, their slopes are the same.

The slope of both is  
          3+3
m = ---------- = 3
          2 - 0

If the new line <span>passes through the point (−1, −1), then the equation in point slope form is:

y+1 = 3(x+1).</span>
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Which exponential function goes through the points (1, 16) and (4, 128)?
djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

We have a=\frac{16}{b} =\frac{16}{2} =8

Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

From theoption we have B as the correct answer.

7 0
3 years ago
Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a c
antoniya [11.8K]

The complete question is;

Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.

The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067

Answer:

1) P(all 5 file no claim after 5 years) = 0.132

2) P(exactly 3 file claim after 5 years) = 0.033

Step-by-step explanation:

1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.

Thus, for all 5 of them,

The probability will be;

P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132

2) since probability of each not filing a claim for last 5 years = 2/3

Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3

So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.

The closest answer is 0.033.

3 0
3 years ago
Melissa has enough paint to cover an area of 250 square feet.she want to paint two walls.the rectangular wall is 9 feet high and
liraira [26]

Answer:

No she doesn't have enough paint.

Step-by-step explanation:

You have to find the area of both walls then subtract both areas by 250. It would give you a negative number, meaning there is not enough paint.

5 0
3 years ago
Read 2 more answers
A graph is shown in the picture. Which root has the multiplicity of 3?
kari74 [83]
I think the awnser is c
8 0
2 years ago
Complete this sentence: in a triangle, the angle with the smallest measure is always opposite the
Marta_Voda [28]

Answer:

Complete this sentence: in a triangle, the angle with the smallest measure is always opposite the <u><em>shortest side</em></u>.

8 0
3 years ago
Read 2 more answers
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