MATHEMATICS HIGH SCHOOL

What is the degree of the monomial 7x^8

Answers

Answer 1

Answer:

The given monomial is

$7x^8$

And degree is the highest exponent of the constant .

For e.g.

Degree of $x^5$ is 5 since 5 is the exponent of x here. And in the given question, Here the constant is x.

And the exponent of x is 8 .

Therefore the degree of the given monominal is 8 .

Answer 2

Answer: it is to the power of 8

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Write 42 and 63 as products of their prime factors

Answers

We perform prime factorization on both numbers.
Prime factors are prime numbers. These numbers can only be divided by 1 and itself.

42 ÷ 2 = 21
21 ÷ 3 = 7

2, 3, and 7 are prime factors: 2 * 3 * 7 = 42

63 ÷ 7 = 9
9 ÷ 3 = 3

3 * 3 * 7 = 63 OR 3² * 7 = 63

You have a limit of $300 that you can spend for a rental car on your vacation this summer. You have found a deal where you can rent a car for a daily rate of $30 plus a fee of $0.20 per mile driven. If you want to be able to keep the car for four days, how many miles can you drive?

Answers

From the problem
you can get the equation
4(30+0.20x) < 300

the 4 represents that it is within 4 days, the 30 is the daily fee, the 0.20 is the rate of per mile driven per day, and the 300 is how much money you have left to spend.

now we solve for x, first distribute the 4 into the parenthesis
120 + 0.80x < 300 then subtract 120 from both sides
-120 -120
and get 0.80x < 180 then divide both sides by 0.80
/0.80 /0.80
therefore x = 225
so you can drive 225 miles.

Determine whether (6,4) is a solution of y = 19x - 2.

Answers

Answer:

Not a solution

Step-by-step explanation:

To determine if a pair of coordinates is the solution to an equation, just plug it in.

Given that the equation is:

y = 19x - 2

And the coordinates they give us to evaluate:

(6, 4)

Plug the coordinates in:

y = 19x - 2

4 = 19(6) - 2

4 = 114 - 2

4 = 112

4 ≠ 112

4 is not equal to 112. Therefore this pair is not the solution.

Answer: No, it's not a solution.

Explanation

The point (6,4) tells us that x = 6 and y = 4 pair up together.

Plug those values into the equation. Simplify both sides as much as possible (use PEMDAS). If we get the same thing on both sides, then that point is a solution to the equation.

y = 19x - 2

4 = 19*6 - 2

4 = 114 - 2

4 = 112

We get different values on each side. Therefore, the point (6,4) is not a solution to the equation.

Another approach you could do is graph the equation using a tool like Desmos. GeoGebra works as well. The point (6,4) is not on the diagonal line. Check out the diagram below to see what I mean.

(7n - 5)(5n - 8)
Multiply polynomials

Answers

Answer:

35n^2-81n+40

Step-by-step explanation:

Answer:

35n^2+81n+40

Step-by-step explanation:

(7n-5)(5n-8)

35n^2-56n-25n+40

35n^2+81n+40

An election campaign organizer bought 20,000 buttons to hand out for a candidate. The organizer handed out 14,000 of the buttons before receiving the next shipment of 15,500 buttons. On the day of the election, the organizer handed out another 18,250 buttons. How many buttons were left after the election?

Answers

Final answer:

The election campaign organizer started with 20,000 buttons, gave out 14,000, received another 15,500 buttons, and handed out another 18,250. After these transactions, they were left with 3,250 buttons.

Explanation:

To solve this mathematics problem, we need to add the total number of buttons the election campaign organizer had, and then subtract the buttons that were distributed. Initially, the campaign organizer had 20,000 buttons. Out of these, they distributed 14,000, leaving them with 20,000 - 14,000 = 6,000 buttons.

Then, they received a new shipment of 15,500 buttons, increasing their total to 6,000 + 15,500 = 21,500 buttons. On election day, they distributed 18,250 buttons. So, after subtracting this amount, we know that 21,500 - 18,250 = 3,250 buttons were left after the election.