The second pattern is in prime numbers. Each number is a prime number in a successive order.

2,3,5,7,11,13, [17,19,23,29,31], 37, 41, etc..

## Related Questions

**Answer with explanation:**

Monique is factoring the expression 4x+16xy Her work is shown below.

Factors of 4 x→: 1, 2, 4, x

Factors of 16 x y:→ 1, 2, 4, 8, 16, x, y

G CF: 4 x

**Factored expression: 4 x(0+4 y)→Incorrect**

→4 x +16 x y= 4* x + 4 *4* x* y

= 4* x* (1+4 y)

while writing the factored expression, we have to break the terms into smaller terms that is into monomials and then we should take out the common factor between the two terms.

**Option D: Monique made an error when writing the factored expression.**

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D. No, because one x-value corresponds to two different y-values.

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$275000 * 0.15 =$41,250….down payment

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If f(x) = 9x + 1, find f–1 (f (3))

**Answer:**

**The value of** **is 3.**

**Step-by-step explanation:**

Here, the given function is,

For finding we have to find out the inverse of f(x),

The steps are as follows,

**Step 1 :** Replace f(x) by y,

**Step 2 :** Switch x and y,

**Step 3 : **Isolate y in the left side,

**Step 4 : **replace y by ,

Now,

**( From equation (1) )**

** ( From equation (2) )**

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Because the axis of rotation is horizontal and we are using shell method, the radius will be in the y-direction and integration will need to be in terms of “y”.

The general formula for shell method is:

r(y) is the radius as shown in diagram and is equal to the distance from y=-7 to upper curve x=y^2. This is distance from y=-7 to x-axis plus y-value along curve.

—> r(y) = y+7

h(y) is height of shell represented as x-distance between the 2 curves.

y =x^2 –> x = sqrt(y), x = y^2

—-> h(y) = sqrt(y) – y^2

The limits are determined by y-values of intersection of 2 curves.

y^2 = sqrt(y) —> y^3 -y = 0 —–> y = 0,1

Now we can write the integral:

**Answer:**

It’s f(n)=-3n+23 and the points on the graph are..:.(given for problem)

X:1,2,3,4,5

Y:20,17,14,11,8

answer for plots on the graph:

X:1,2,3,4,5

Y:10,17,14,11,8

you need to just plot the given numbers onto the graph.

I hope this helped!

**Step-by-step explanation:**

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