Mathematics College

Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean if your point is a solution to both?

(The point is (2,5))

Answers

Answer 1

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

[tex]2x - y = -1[/tex]

[tex]y =5x - 5[/tex]

Required

Verify that: [tex](x,y) = (2,5)[/tex] is a solution

We have:

[tex]2x - y = -1[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]2 * 2 - 5 = -1[/tex]

Evaluate all products

[tex]4 - 5 = -1[/tex]

Subtract:

[tex]-1 = -1[/tex]

Because both sides of the equation are equal, then the point is a solution

Also: [tex]y =5x - 5[/tex]

Substitute: [tex](x,y) = (2,5)[/tex]

[tex]5 = 5 * 2 - 5[/tex]

Evaluate all products

[tex]5 = 10 - 5[/tex]

Subtract:

[tex]5 = 5[/tex]

Because both sides of the equation are equal, then the point is a solution

Because the given point is a solution to both equations, then they are simultaneous equation

Related Questions

Find the equation of the line that passes through the points (3,-4) and (3,
8).

Answers

Answer:

This is not a function, so we can not find the equation of this line.

Step-by-step explanation:

The two points form equation of a line is given by:

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where:

y(1) is the y value of the first pointx(1) is the x value of the first pointm is the slope

The first point is (3,-4) and the second point is (3,8)

Let's first find the slope. The equation of m is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{8-(-4)}{3-3}[/tex]

Here the slope is not defined, so we can not find the equation of this line, because it is not a function.

I hope it helps you!

Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years. How much interest will he pay? What is the loan Jim will pay over the course of the 5.5 years?

Answers

Answer:

4,331.25 in interest

Step-by-step explanation:

22,500.00x3.5%=787.50x5.5=4,331.25

22,500.00+4,331.25=26,831.25 total loan

Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years.The loan amount Jim will pay over the course of 5.5 years is $26,823.75.

To calculate the interest Jim will pay and the total loan amount over 5.5 years, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Total Loan = Principal + Interest

Given:

Principal (P) = $22,500

Rate (R) = 3.5% (expressed as a decimal, 0.035)

Time (T) = 5.5 years

Calculating the interest:

Interest = $22,500 * 0.035 * 5.5

Interest = $4,323.75

Jim will pay $4,323.75 in interest over the course of 5.5 years.

Calculating the total loan:

Total Loan = Principal + Interest

Total Loan = $22,500 + $4,323.75

Total Loan = $26,823.75

Therefore, the loan amount Jim will pay over the course of 5.5 years is $26,823.75.

To know more about "INTEREST." here

https://brainly.com/question/29451175

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Full question

( No graph Needed)

Coach Elyson claims that 90% of her volleyball serves are good serves. The captain of the team thinks Coach Elyson has a lower rate of good serves. To test this, 50 of the coach’s serves are randomly selected and 41 of them are good. To determine if these data provide convincing evidence that the proportion of Coach Elyson’s serves that are good is less than 90%, 100 trials of a simulation are conducted. The team captain’s hypotheses are: H0: p = 90% and Ha: p < 90%, where p = the true proportion of Coach Elyson’s serves that are good. Based on the results of the simulation, what is an estimate of the P-value of the test?

A dotplot. A number line labeled simulated sample proportion of good serves goes from 80 to 98 percent. 80, 2; 84, 13; 86, 11; 88, 12; 90, 23; 92, 12; 94, 14; 96, 10; 98, 3.

0%

2%

4%

98%

Answers

Answer:

The correct answer is: 2%

Step-by-step explanation:

Took the quiz

Identify the quadrant each ordered pair is located in.
(-5,8)
(5,8)
(-5,-8)
(5,-8)

Answers

(-5,8) Quadrant 2
(5,8) Quadrant 1
(-5,-8) Quadrant 3
(5,-8) Quadrant 4
Hope this helped!

A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random? Question 5 options: 5/20 1/7 5/21 1/5

Answers

Answer:

1/5

Step-by-step explanation:

5 out of 25 reduces to 1 out of 5

2x+6y=6 has to be solved by elimination
-2x+y=8 has to be solved by elimination

Answers

Answer:

2x - 2x + 6y + y = 6 + 8

7y = 14

y = 2

2x + 6(2) = 6

2x + 12 = 6

2x = -6

x = -3

Answer:

X=-3, y=2

Step-by-step explanation:

what is 27+27 BumblebeeTuna

Answers

your answer is 27+27 = 54

Answer: 54

Step-by-step explanation:

help pleaseee !!! im stuck

Answers

9514 1404 393

Answer:

102 cm²232 in²40.46 ft²480 mm²

Step-by-step explanation:

The first three cuboid prisms all use the same area formula:

A = 2(LW +H(L+W))

1. A = 2(3·3 +7(3+3)) = 2(9 +42) = 102 . . . cm²

2. A = 2(2·8 +10(2 +8)) = 2(16 +100) = 232 . . . in²

3. A = 2(4.9·3 +0.7(4.9 +3)) = 2(14.7 +5.53) = 40.46 . . . ft²

4. The area of this prism is the total of the area of the two triangular bases and the areas of the rectangular faces. For triangle legs a, b and hypotenuse c, and prism depth d, the area formula can be written as ...

A = ab +d(a+b+c)

A = (8 mm)(15 mm) +(9 mm)(8 mm + 15 mm + 17 mm)

A = (120 +9(40)) mm² = 480 mm²

Point O is the center of the square ABCD. Point E is the midpoint of line segment CD. The area of square ABCD is 24, what is the are of the quadrilateral BCEO?

Answers

Answer: You divided 24 by 3 then you take the answer

Step-by-step explanation:I hope it help

6 months ago, Juan used his credit card for a transaction of 128 dollars. The bank charges a rate of interest
of 50% per month compounded monthly
How much does Juan owe to the bank today?

Answers

The compound interest implies that Juan owes $163.52 today

How to determine the amount Juan owes?

The given variables can be represented as:

Loan amount P = $128Rate of interest, R = 50%Time to pay back the loan, t = 6 months i.e. 0.5 year

The amount from a compound interest can be calculated using:

A = P(1 + r/n)^nt

Also from the question, we have

n = 12

This is so because the loan is compounded 12 times in a year as a result of being compounded monthly

So, we have

A = P(1 + r/n)^nt

A = 128 * (1 + (50%/12))^(0.5*12)

Evaluate

A = 163.52

Hence, the amount owed is $163.52

Read more about compound interest at:

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between which two numbers would you place √40 on a number line

Answers

Answer:

between 6 and 7

Step-by-step explanation:

The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.

Need help asap please help me.

Answers

The swimmer swam at in increasing speed as time passed, then came to a constant speed. When the line is horizontal, that means he is continuously moving, but his speed is not increasing. Then the swimmer starts to slow down in speed and time towards the end.

Answer:

the speed of the swimmer increased as the time went up ,the swimmer speed decreased as the time was up

Step-by-step explanation:

Period
Readiness TEKS 9.C, 9.D
6. Omar takes out a college loan for $28,000 to cover his
expenses for tuition, books, room, and housing. According to the
terms of the loan, he won't have to make payments for six years,
but the loan will continue to compound interest annually at 11%.
The table below shows the amount of the loan he owes assuming
he make no payments during the six years.
Number of Years
1
2
3
4
5
6
Loan Amount Owed
$28,000.00
$31,080.00
$34,498.80
$38,293.67
$42,505.97
$47,181.63
$52,373.61
Which function represents the amount of the loan owed in relation
to the number of years, x?
A. f(x) = 28,000(1.11)*
B. f(x) = 28,000(0.11)
C. f(x) = 28,000(11)*
D. f(x) = 28,000 + 1.11%

Answers

This for real what y’all college kids need go threw:0

To the number of years x?

The answer is B

Solve for y please will mark brainly

Answers

Answer:

y = -4

Step-by-step explanation:

since f(y) = 9, you know the equation is equal to 9

9 = [tex]\sqrt{y+29}[/tex] - y

81 + 18y + y^2 = y + 29

y = -4

blue monkeys are swimming with 20 red and 30 black the total is 1000 how many are blue monkeys.

Answers

Answer:

950 Blue monkeys

Step-by-step explanation:

1000-20= 980-30= 950 blue monkeys

solve for x using the quadratic formula. x^2+9x+20=0

Answers

Answer: x= -4,-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I can help

Step 1

factor the left sides of the equation

Then you will get (x+4)(x+5)=0

Step 2

You will have to set the factors equal to 0

x=-4 or x=-5

Hope this helped

help pleaseee, i need this answer

Answers

Answer:

1. True

2. True (assuming it says divide its circumfrence by pi or 3.14)

3. False

4. False

5. False

Step-by-step explanation:

One is true two is true and the rest are false I think

4. Which of the following indicates the multiplication property of equality when solving Vz= 5?
O A.Y2 = 2(5)
O B.2V) = 5
O C.212) = 2(5)
O D.V2 = 5/2

Answers

Answer:

D. 21.

Step-by-step explanation:

The general form of the equation of a circle is:

(x - a)^2 + (y - b)^2 = r^2 where r is the radius.

Comparing:

(x + 5)^2 + (y + 7)^2 = 21^2

So r^2 = 21^2

making r = √21^2

= 21.

plz make me brainliest

a woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How okd is her mother now?

Answers

Answer:

48 yr. old

Step-by-step explanation:

Assume daughter is 4 and mom is 10 times her age, so mom is 40.

10 (woman) * 4 (daughter's age) = 40 yr. old mom

Present day...

40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today

4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today

So, if mom is 4 times as her daughter's age today...

48 (yr. old mom) / 12 (yr. old daughter) = 4

PLEASE HELP! IM GIVING BRAINLIEST!

Answers

Answer:

1/2 x 1/2= 2/4

Step-by-step explanation:

Answer:

Nicoles pattern is correct

Ians pattern is 0,1,3,7,15,

Coordinate pairs

1,0

5,1

17,3

53,7

161,15

Step-by-step explanation:

Pencil and paper

For which set of data is the mode the BEST measure of central tendency?

A) 3, 11, 20, 14, 20
B) 10, 13, 10, 25, 16
C) 12, 10, 13, 25, 12
D) 14, 10, 12, 14, 3

Answers

Answer: C

Step-by-step explanation:

i took the quiz

I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY!!! Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3), B(-3, 3), C(-3, 6), and D(-8, 6)
What is the area of rectangle ABCD

Answers

Answer:

15 square units

Step-by-step explanation:

find the domain and range of the function f(x)= 8|x|+sinx

Answers

Dominio:
(−∞,∞),{x|x∈R}

Rango:
(−∞,∞),{y|y∈R}

Answer:It’s D

Step-by-step explanation:

edge

using y =4x^2 +5x -21 find the actual slope of the curve at x = 2

Answers

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx} =4 \times 2x+5=8x+5\\at ~x=2,\frac{dy}{dx} =8(2)+5=21\\slope~of~curve~at~x=2 =21[/tex]

An online music store charges you $5.95 for 5 songs. How much would it cost you to
buy 14 songs?

Answers

Answer:

It would cost $16.66

Step-by-step explanation:

To find the individual cost of one song you would divide $5.95 by 5 since that's what it costs for 5 songs. Each individual song costs $1.19. So then you multiply $1.19 by the 14 songs and get the answer of $16.66

The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f

Answers

Answer:

C on edge

hope this helps

Step-by-step explanation:

The answer was C for me on Edg.

What is the opposite of -45?

Answers

Answer:

45 or positive 45

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

Solve the x in the equation x2+11x+121/4=125/4

Answers

Answer:

see the screen shot it has the answer and explanation (thumbs up)

Step-by-step explanation:

x = - 1/11

Hope this helps

If you bought a lunch for $4.60 and the tax rate was 6%,
How much is the total owed?

Answers

Answer: It would be $4.88

What is the value of X to the nearest tenth???

Answers

Answer:

Step-by-step explanation:

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Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean if your point is a solution to both? (The point is (2,5))

Answers

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Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean if your point is a solution to both?

(The point is (2,5))