MATHEMATICS HIGH SCHOOL

What is the solution to the system of equations?6x – 9y = 16
2x – 3y = 7
A) (5, 1)
B) (2, -1)
C) (3, 2/9)
D) no solution

Answers

Answer 1
Answer: If you would like to know the solution to the system of equations, you can calculate this using the following steps:

6x – 9y = 16
2x – 3y = 7     /*(-3) ...  -6x + 9y = - 21
___________
6x – 9y - 6x + 9y = 16 - 21
0 = - 5

The correct result would be D) no solution.

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Solve the given polynomial equation. Use the Rational Zero Theorem and Descarte's Rule of Signs as an aid in obtaining the first root.6x^3-7x^2-6x-1=0
What is the solution set?

Answers

Decartes rule! Haha if I get this right it should be 0 positives because the signs never change and 2 negative zeros I believe if you replace the x with -x

If you need the p+q's just ask here and I'll help more :D

How does the graph of y=ax^2+c compare to a graph off y=ax^2?

Answers

shifting a graph up by c units involves adding c to the whole function

therefor
y=ax^2+c is c units higher than y=ax^2 (aka, it is shifted c units up)

You and your friends pick up seven movies to watch over a holiday. You have time to watch only two. In how many ways can you select the two to watch?

Answers

Answer:

There are 21 ways to select the two movies to watch.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=(n!)/(k!(n-k)!)

It is provided that there are n = 7 movies to watch.

But we only have time for k = 2.

Compute the total number of ways in which we can select 2 movies from 7 as follows:

{7\choose 2}=(7!)/(2!(7-2)!)

    =(7!)/(2!* 5!)\n\n=(7* 6* 5!)/(2!* 5!)\n\n=(7*6)/(2* 1)\n\n=21

Thus, there are 21 ways to select the two movies to watch.

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Answers

Hello,

a(2)=-6
a(3)=-6*r
a(4)=-6*r²
a(5)=-6*r^3=162
a(5)/a(2)=r^3=162/(-6)=-27==>r=-3

a(1)=-6/(-3)=2
a(2)=2*(-3)
a(3)=2*(-3)²
a(4)=2*(-3)^3
a(5)=2*(-3)^4

a(n)=2*(-3)^(n-1)




Answer

Answer:

an = 2 • (-3)^n - 1

Step-by-step explanation:

I have taken the test and this is the correct option :)

y = 1/2x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)

Answers

Answer:

(-4,-8)

Step-by-step explanation:

Given :


y = (1)/(2) x -6  ---(1)


x= -4    ------(2)


Solution :

To find the solution of given system of equation we need to use the substitution method i.e. we need to substitute the value of x from equation (2)  in equation (1).


⇒y=(1)/(2) *(-4)-6


⇒y=-2-6


⇒y= -8

Thus for x =-4 we get y = -8


Hence (-4,-8) is the solution to the given system of equations .

y = 1/2 (-4) - 6 = -2 - 6 = -8
Therefore, solution is (-4, -8)

For her birthday Lucy received $20 from her aunt , $15 from her grandmother , and $32 from her cousins. She bought an e- book for $10.85 . How much birthday money does Lucy have left ?

Answers

Answer: Lucy will have a total of $56.15 left after buying the E-Book.

Step-by-step explanation:

To find the answer, you will need to add together the total amount of money Lucy received from every one for her birthday.

After getting the total by using addition, you will need to use subtraction to get the answer for the total remaining money.

$20.00 + $15.00 + $32.00 = $67.00

$67.00 - $10.85 = $56.15
First you need to find out the total amount of money Lucy received. Add 20+15+32 and you will get $67. Subtract the money Lucy spent from the total amount of money. 67-10.85=56.15. She has $56.15 remaining.
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