Can you do this question

Need help with this??? Please!!!

Radda [10]

Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

3 0

3 years ago

When a scatterplot is created from a table of values, which statement is correct?

jeka94

Answer: A is correct option .It is possible for two points to have the same x-coordinate and the same y-coordinate.

Step-by-step explanation:

A scatter plot is a mathematical diagram or 2-dimensional data visualization using Cartesian coordinates to display values for two variables for a set of data by using dots to represent the values occurred for two different variables - one plotted along the x-axis and the other plotted along the y-axis. They show how variables are correlated thats why they are also called correlation plot. For example we have scatter plot with variables as study time and exam grade, so it can happen that 2 students study for same time and got same grade.

Therefore, It is possible for two points to have the same x-coordinate and the same y-coordinate.

4 0

4 years ago

Read 2 more answers

The key club made$192 at their candle sale. They dold round candles for $4 and square candles for $6. If they sold twice as many

frez [133]

They sold 22 square candles and 11 round candles

5 0

3 years ago

Read 2 more answers

A rectangular aquarium 3 ft. x 2 ft. 1 ft. is 2/3 full of water. In cubic feet, how much water is in the tank

tatuchka [14]

To find the volume of a rectangular prism, we must multiply the length * width * height.

In this case,

Volume = 3 ft * 2 ft * 1 ft

= 6 ft^3

Because this tank is 2/3 full with water, to find out how much water is in the tank, we must multiply 2/3 by the total volume of the tank (6 ft^3).

2/3 * 6 ft^3 = 4 ft^3

This means that there are 4 cubic feet of water in the tank.

Hope this helps!

6 0

3 years ago

(Please show step by step workings)

matrenka [14]

Answer:

a. They will need $90,000.00 for the down payment

b. The mortgage amount (principal) will be $360,000.00

c. The monthly principal payment will be $1,500,00

The monthly interest payment will be $634.40

d. The total interest they will pay: $152,256.00

Step-by-step explanation:

house price= $450,000

down payment = 20%

20-year mortgage

Interest rate= 3.75%

a. How much they will need for the down payment?

The down payment (DoP) is 20% of the house price

DoP= 20% de $450,000

DoP= 0.20*450,000

DoP= $90,000

b. What will be the mortagage amount (the principal)?

The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.

MoA= $450,000 - $90,000

MoA= $360,000

c. How much will their monthly payment be for the principal and interest?

This equation represents the monthly payment (M):

$M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}$

where

P= the principal = $360,000

r= monthly interest rate = 3,75% divided by 12 = 0,31%

n= number of payments = 20 years multiplied by 12 months = 240

Let´s input these data into the equation:

$M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}$

$M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}$

Solving the equation:

M= $2,134.40

the principal component of this M would be

$360,000 divided by the 240 months

So, the principal component of M = $1,500.00

And the interest component of M is the difference

$2,134.40 - $1,500.00

So, the interest component of M = $634.40

d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?

With every payment, they will be paying:

$634.40 per month, multiplied by 240 months

The total interest will be $152,256.00

5 0

3 years ago