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3 years ago

What is the slope of line parallel to line y=3x+2?

Mathematics

2 answers:

butalik [34]3 years ago

5 0

Answer:

Step-by-step explanation:

The slope is 3 because when two lines are parallel, they have the same slope.

telo118 [61]3 years ago

4 0

Answer:

Two lines that are parallel have the same slope. So in this case, the slope to the function parallel to f(x)= 3x+2 is equal to 3

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If $20,900 is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the

Katena32 [7]

Answer:

annual

Step-by-step explanation:

You make a single deposit of $100 today. It will remain invested for 4 years at 8% per year compounded annually. What will be the future value of your single deposit at the end of 4 years?

6 0

3 years ago

Given: A, B, and C What is the value of X in the matrix equation AX + B = C?

Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

$A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}$

$B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$

$C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}$

AX + B = C

AX = C - B

C - B = $\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}$ = $\begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}$

C - B = $\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Let $X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}$

AX = $\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}$

= $\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}$

Since AX = C - B

$\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}$

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = $\begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix}$ will be the answer.

7 0

3 years ago

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2.

Leviafan [203]

The common ratio is the current number divided by the previous. So the ratio is 1/2

The sequence is 12, 6, 3, 3/2, 3/4 ...

You can obtain any number multiplying the previous number times 1/2.

6 = 12 *(1/2)

3 = 6*(1/2)

3/2 = 3*(1/2)

3 0

2 years ago

Read 2 more answers

The sum of five consecutive multiples of 4 is 20.Find the smallest integer.

Aloiza [94]

Answer:

The smallest integer is -4.

Step-by-step explanation:

Let the smallest integer be x.

Since the integers are all multiples of 4, they are

=> x, x+4, x+8, x+12 and x+16

=> x + x+4 + x+8 + x+12 + x+16 = 20

=> 5x + 40 = 20

Subtract 40 from both sides of the equation

5x +40 - 40 = 20 - 40

5x = -20

Divide both sides by the coefficient of x(which is 5)

$\frac{5x}{5} = \frac{-20}{5}$

x = -4

∴ the smallest integer is -4.

Hope this helps!!!

6 0

2 years ago

Help me I need help I need help

Licemer1 [7]

Answer:

$\Huge\boxed{131.88}$

Step-by-step explanation:

Hello There!

First thing we want to do is find the formula for circumference of a circle

C = 2(3.14)r

where r = radius

we are given the diameter so we have to convert that into radius to do so we just divide by 2

42/2=21 so the radius equals 21 inches

now we just plug in 21 for r in the formula

$C = 2(3.14)21\\2*3.14=6.28\\6.28*21=131.88\\C=131.88$

So we can conclude that the circumference of the circle is 131.88 inches

3 0

2 years ago