MATHEMATICS HIGH SCHOOL

What is the solution to the system of equations?y = –3x – 2

5x + 2y = 15

(–40, 19)
(–19, 55)
(19, –40)
(55, –19)

Answers

Answer 1
Answer: (–19, 55)
Replacing y in the second equation gives;
5x+2(-3x-2)=15
5x-6x-4=15
-x-4=15
-x=19
x=-19

y=-3(-19)-2
y=57-2
y=55

(-19, 55)
Answer 2
Answer: (-19,55) x is equal to -19 and y is equal to 55

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Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.(-3,-3);y=-3x-2 y=−3x+2
Write an equation for the line in​ slope-intercept form.

Answers

Answer:

y = –3x – 6

Step-by-step explanation:

We'll begin by obtaining the slope of the equation y = –3x – 2.

This can be obtained by comparing

y = –3x – 2 with y = mx + c

Thus, the slope (m) of the equation

y = –3x – 2 is –3.

Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.

This is illustrated below:

For parallel lines, the slope are related as follow:

m1 = m2

m1 = –3

m2 = m1 = –3.

Finally, we shall determine the equation as follow:

Coordinate = (–3, –3)

x1 coordinate = –3

y1 coordinate = –3

Slope (m) = –3

y –y1 = m(x – x1)

y – (–3) = –3 (x – (–3))

y + 3 = –3 (x + 3)

y + 3 = –3x – 3

Rearrange

y = –3x – 3 – 3

y = –3x – 6

Thus, the equation parallel to the line is y = –3x – 6

15 points please help me (scatterplot)

Answers

i believe the correct ones are...

1

3

5

7

Gracie Shay wants to buy a new Hummer in five years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now at a rate of 6% compounded semiannually, she:

Answers

Answer:

Option 4 is correct

Step-by-step explanation:

The complete question is as follows:

Gracie Shay wants to buy a new Hummer in 5 years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now, at a rate of 6 percent compounded semiannually, she:

1.Will have enough money

2.Will have exactly $16,000

3.Will have $18,000

4.Will have $16,126.80

5.None of these

Solution:-

- The plan is to buy a new Hummer that costs C = $28,000 in t = 5 years.

- She invests P = $12,000 now at an interest rate i = 6% compounded semi-annually.

- We will calculate the amount of money, (compound interest formula), that Gracie has at the end of 5 years:

                    A = P*( 1 + i )^n

- Where, A : Amount after n periods.

               n : Compounding period in years.

- The compounding period (n) is denoted as the number of time the interest in compounded over the time period t. Since the interest is compounded semi-annually then the compounding period would be:

               n = t* ( 2 periods / year )

               n = 5*2 = 10 periods.

- Now use the above "compounded interest" formula for i to be distributed for the whole year i.e half of 6%:

               A = (12,000)*( 1 + 6/200)^10

               A = 12,000*(1.03)^10

               A = $16126.99
Here is the solution of the given problem above.
Given that the estimated cost of the Hummer is $28,000, and that she invests $12,000 with a 6% rate compounded semiannually. Semiannually, that would be twice a year, so it is the rate every 6 months. Let's get the 6% of $12,000 and it would be $720. Therefore, she will pay a total of $13,440 in a year. Hope this answer helps.

Mindy can type 40 words per minute. How many words can she type in 5 minutes?​

Answers

Answer: 200 words, that is, if she types at a constant pace, without break for those 5 minutes

Step-by-step explanation:

What is one half added to five eighths

Answers

we need to add 1/2 and 5/8.

First, we will find a common denominator to both numbers. The common denominator will be 8.
1/2 is equivalent to 4/8

Then, we add the numerators:
4/8 + 5/8 = 9/8

Divide (15x^2+x-8)/(3x-1)

Answers

Simplifying -15x2 + -2x + 8 = 0
 Reorder the terms: 8 + -2x + -15x2 = 0 Solving 8 + -2x + -15x2 = 0 Solving for variable 'x'.
 Factor a trinomial. (2 + -3x)(4 + 5x) = 0 Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
 Simplifying 2 + -3x = 0 Solving 2 + -3x = 0
 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2
 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2
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 Divide each side by '-3'. x = 0.6666666667
 Simplifying x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
 Simplifying 4 + 5x = 0
 Solving 4 + 5x = 0
 Move all terms containing x to the left, all other terms to the right.
 Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4
 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4
 Combine like terms: 0 + -4 = -4 5x = -4
 Divide each side by '5'. x = -0.8 Simplifying x = -0.8
Solutionx = {0.6666666667, -0.8}
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