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2 years ago

PLEASE HURRY I NEED HELP!!!!

Mathematics

1 answer:

KengaRu [80]2 years ago

7 0

Answer:

See Down Here

Step-by-step explanation:

We want to get g(x) given that we know f(x) and the graphs for both functions. We will see that the correct option is D:

g(x) = (x/3)^2

By looking at the graph we can see that f(x) and g(x) are two quadratic functions, and g(x) is just a dilation of f(x).

This means that:

g(x) = A*f(x)

Where A is a real number.

We know that:

f(x) = x^2

And by looking at the graph, we also know that g(3) = 1.

Then we can write:

g(3) = A*f(3) = A*3^2 = 1

Now we can solve this for A:

A*3^2 = 1

A*9 = 1

A = 1/9

Then we have:

g(x) = (1/9)*f(x) = (1/9)*x^2 = (x/3)^2

So the correct option is D.

If you want to learn more about quadratic equations, you can read:

brainly.com/question/1214333

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Help please Find the area of the following colored regions?

Svet_ta [14]

Answer:

Area = 77.1

Step-by-step explanation:

The are of a right triangle is

$\frac{1}{2} \times base \times height$

our base and height are 6 for both triangles, so we shall find the area of one of the triangles...

$\frac{1}{2} \times 6 \times 6 = 18$

multiply this by 2

$2 \times 18 = 36$

Now find the area of the whole circle

$area = \pi {r}^{2}$

our radius is 6, therefore:

$area = \pi {6}^{2} = 113.1$

Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer

$113.1 - 36 = 77.1$

5 0

2 years ago

Read 2 more answers

What is an equation of the line that passes through the point (- 7, 0) and is parallel to the line x + y = 1

sweet [91]

Answer:

y = -x - 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is x + y = 1.

First, let's put this into standard form.

x + y = 1

y = -x + 1

Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.

Plug this value (-1) into your standard point-slope equation of y = mx + b.

y = -x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.

0 = -1(-7) + b

To find b, multiply the slope and the input of x (-7)

0 = 7 + b

Now, subtract 7 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -x - 7

This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)

Hope this helps!

7 0

3 years ago

Suppose there was a cancer diagnostic test was 95% accurate both on those that do and those do not have the disease. If 0.4% of

Musya8 [376]

Complete Question

Suppose there was a cancer diagnostic test was 95% accurate both on those that do and 90% on those do not have the disease. If 0.4% of the population have cancer, compute the probability that a particular individual has cancer, given that the test indicates he or she has cancer.

Answer:

The probability is $P(C | A) = 0.0042$

Step-by-step explanation:

From the question we are told that

The probability that the test was accurate given that the person has cancer is

$P(A | C) = 0.95$

The probability that the test was accurate given that the person do not have cancer is

$P(A | C') = 0.90$

The probability that a person has cancer is

$P(C) = 0.004$

Generally the probability that a person do not have cancer is

$P(C') = 1- P(C)$

=> $P(C') = 1- 0.004$

=> $P(C') = 0.996$

Generally the probability that a particular individual has cancer, given that the test indicates he or she has cancer is according to Bayes's theorem evaluated as

$P(C | A) = \frac{P(A | C) * P(C)}{P(A|C) * P(C) + P(A| C') * P(C')}$

=> $P(C | A) = \frac{ 0.95 * 0.004 }{ 0.95 * 0.004 + 0.90 * 0.996}$

=> $P(C | A) = 0.0042$

7 0

2 years ago

(Refer to the attached image)

RSB [31]

Answer:

missing side: 133 cm

Explanation:

Provided 2 length sides and one angle also need to find one missing side.

So, use cosine rule:

⇒ a² = b² + c² - 2bc cos(A)

Insert values

⇒ g² = 166² + 147² - 2(166)(147) cos(50)

⇒ g² = 17794.3935

⇒ g = √17794.3935

⇒ g = 133.3956

⇒ g = 133 (rounded to nearest whole number)

8 0

1 year ago

Help finding the sum

Mamont248 [21]

It is asking you to find the sum of k^2 - 1 from k=1 to k=4. Since that is only 4 numbers, calculating the sum by hand wouldn’t be that bad.

(1^2 - 1) + (2^2 - 1) + (3^2 - 1) + (4^2 - 1) = 26

The easier way to find the sum is to use a few simple formulas.

When we have a term that is just a constant c, the formula is c*n.

When we have a variable k, the formula is k*n*(n+1)/2.

When we have a squared variable, the formula is k*n*(n+1)*(2n+1)/6.

In this case, we have a squared variable k^2 and a constant of -1.

So plug in n=4 to the formulas:

4*5*9/6 - 1*4 = 26

The answer is 26

5 0

2 years ago