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3 years ago

Simplify the expression (-3x)^4

1 answer:

8 0

(-3x)⁴

Basically, just do this :

(-3x) × (-3x) × (-3x) × (-3x)

So now you have 9x² × 9x²

9 × 9 = 81

x² × x² = x⁴

So, your answer is 81x⁴

~Hope I helped!~

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I will mark brainliest if you answer correctly! Please! I need this ASAP!!!

Nikitich [7]

C. To find the y-intercept, substitute in 0 for x and solve for y. y-intercept= (0,33)

4 0

3 years ago

Allison invested $70,000 in an account paying an interest rate of 6.2%

jeka94

Answer and Step-by-step explanation:

First, you need to make the function to represent the information given.

We start with 70,000 in the account, and have an interest rate of 6.2%.

We want to know how long it will take to get $223,200.

The equation for simple interest is:

A = $P(1 + rt)$

Where A is the total amount, P is the principle amount of money, r is the rate, and t is the time.

Now, we plug in the values and solve for t.

$223,200 = 70,000(1+6.2t)$

$\frac{\frac{223,200}{70,000} -1}{6.2} = t$

t = 0.353

Multiply by 100 to get the years.

t = 35.3

So, it will take Allison 35.3 years to get 70,000 dollars to 223,200 dollar with an interest rate of 6.2%

#teamtrees #PAW (Plant And Water)

I hope this helps!

5 0

2 years ago

Read 2 more answers

Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of

Alex17521 [72]

Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

$2(L+x)=16 \\ \\ \Rightarrow L+x=8 \\ \\ \Rightarrow x=8-L$

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

$L(8 - L) = 8L-L^2$

Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

$dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)$

3 0

3 years ago

Multiply the polynomials.

Evgesh-ka [11]

Answer:

x^3-x^2-17x+12

Step-by-step explanation:

(x+4)(x^2-5x+3)

x^3-5x^2+3x+4x^2-20x+12

x^3-5x^2+4x^2+3x-20x+12

x^3-x^2-17x+12

6 0

3 years ago

Read 2 more answers

What is midpoint of A(2, 3) and B(-2, 5)?

Elis [28]

Answer:

The midpoint of A and B is (0, 4).

Step-by-step explanation:

Use the midpoint formula, ((x₁ + x₂)/2 , (y₁ + y₂)/2)

First, solve for the x part.

(2 + (-2))/2

0/2

So the x-coordinate of the midpoint is 0.

Then, solve for the y part.

(3 + 5)/2

8/2

So the y-coordinate of the midpoint is 4.

7 0

3 years ago