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3 years ago

Which expression is equivalent to -3.5(4x – 3)

Mathematics

1 answer:

Rzqust [24]3 years ago

4 0

Answer: -14x + 10.5

Hopeful this is right. And if it’s right I just use this app called the Cymath.

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What transformations are needed to change the parent cosine function to y=3cos(10(x-pi))?

LUCKY_DIMON [66]

Answer:

The graph of $y=cos(x)$ is:

*Stretched vertically by a factor of 3

*Compressed horizontally by a factor $\frac{1}{10}$ .

*Moves horizontally $\pi$ units to the rigth

The transformation is:

$y=3f(10(x-\pi))$

Step-by-step explanation:

If the function $y=cf(h(x+b))$ represents the transformations made to the graph of $y= f(x)$ then, by definition:

If $0$ then the graph is compressed vertically by a factor c.

If $|c| > 1$ then the graph is stretched vertically by a factor c

If $c$ then the graph is reflected on the x axis.

If $b> 0$ The graph moves horizontally b units to the left

If $b$ The graph moves horizontally b units to the rigth

If $0$ the graph is stretched horizontally by a factor $\frac{1}{h}$

If $h> 1$ the graph is compressed horizontally by a factor $\frac{1}{h}$

In this problem we have the function $y=3cos(10(x-pi))$ and our parent function is $y = cos(x)$

The transformation is:

$y=3f(10(x-\pi))$

Then $c =3>1$ and $b =-\pi < 0$ and $h=10 > 1$

Therefore the graph of $y=cos(x)$ is:

Stretched vertically by a factor of 3.

Also as $h=10$ the graph is compressed horizontally by a factor $\frac{1}{10}$ .

Also, as $b =-\pi < 0$ The graph moves horizontally $\pi$ units to the rigth

6 0

3 years ago

The sum of the measure of the interior angles of a polygon is 1080°.

lana [24]

The octagon has a total interior measure of 1080 degrees. Good luck, hope this helped!

8 0

4 years ago

Read 2 more answers

The greatest of the common factors of two or more numbers is called an ______ of numbers

Olegator [25]

It’s called the GCF

7 0

4 years ago

Tim will borrow $6200 at 12.5% APR. He will pay it back over 2 years. What will be his Monthly payment be?

AlekseyPX

<span>The correct answer is D) $293.32.

Explanation:
We use the formula P=A/D, where P is the payment amount, A is the amount borrowed, and D is the discount factor.

The discount factor is given by the formula D={[(1+r)^n]-1}/[i(1+i)^n], where i is the monthly interest rate as a decimal number and n is the number of months taken for repayment.

For this problem, we have 12.5%; 12.5%=12.5/100=0.125.
This makes the monthly interest rate, i, 0.125/12=0.01042.

The number of months for repayment, n, will be 2*12=24.

Using these we have D={[1+0.01042)^24]-1}/[0.01042(1+0.01042)^24], which gives us D=21.1375.

We plug this in for D in our payment formula.

Additionally, we know that A=6200, since that is what is borrowed: P=6200/21.1375=293.32.</span>

3 0

3 years ago

Read 2 more answers

Help with this math homework please

labwork [276]

Answer:

When you add an irrational and rational number the sum becomes irrational as well.

Alright so let's pick an irrational number I'm gonna say pi. A rational number, let's go with 1. Pi plus 1 is about 4.14 rounded to the nearest hundredth. How about multiplying? It's pi still cause anything times one equals itself.

5 0

3 years ago