What is the solution to the system of equations below?

y = one-half x + 6 and y = negative three-fourths x minus 4
(–8, 2)
(–8, –1)
(8, 10)
(8, –10)

Answers

Answer 1

Answer:

(-8, 2)

Step-by-step explanation:

1. Set up the equations.

y = 1/2x + 6

y = -3/4x - 4

2. Set the equations to equal each other.

1/2x + 6 = -3/4x - 4

3. Move the variables to one side and the numbers to the opposite side.

6 + 4 = -3/4x - 1/2x

10 = -3/4x - 2/4x

10 = -5/4x

4. Divide 10 by -5/4.

10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)

10 * -4/5 = -40/5 = -8

x = -8

5. Plug in the x-value into one of the equations.

y = 1/2x + 6

y = 1/2(-8) + 6

y = -4 + 6

y = 2

OR

y = -3/4x - 4

y = -3/4(-8) - 4

y = 6 - 4

y = 2


Related Questions

Dara and Jo share £420 in the ratio 2:5.
Calculate how much Dara and Jo receive each.

Answers

Answer:

Dara receives £120 and Jo receives £300

Step-by-step explanation:

D:J

2:5

5+2=7

£420÷7= £60

1 on the ratio= £60

Dara:

£60 × 2= £120

Jo:

£60× 5= £300

Help plssss:) I need a complete answer

Answers

[tex]\bold{ANSWER:}[/tex]

(2 , 1)

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

b is the correct answer

have a good day and I hope this helps :D

if you need more detailed answer just tell me

please just answer my question on this image

Answers

Answer:

It's the first one because 5 x 3 = 15 and 10 x 3 = 30 and 15 x 3 = 45 and so on..

Step-by-step explanation:

Answer:

The first one answer, because pattern X is 3 times the corresponding term in pattern Y.

5 x 3= 15

10 x 3=30

15 x 3= 45

20 x 3=60

What is 3/4 divided by 7/10

Answers

Answer:

1.07

Step-by-step explanation:

What is the call out fee

Answers

Answer:

A set amount charged for a repairman to come to one's house, or to a broken-down vehicle, which is added to the cost of the actual repair.

Identify the vertex of the function, F(x) =3(x-1)2 + 5.

Answers

Answer:

f

(

x

)

=

3

(

x

1

)

2

+

5

Use the vertex form,

y

=

a

(

x

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

3

h

=

1

k

=

5

Find the vertex

(

h

,

k

)

.

(

1

,

5

)

image of graph

Please help. I'll mark you brainliest if right. I really need help

Answers

Answer: Θ = π + 2kπ

Explanation:

cosΘ + 1 = 0
cosΘ = -1

Using the unit circle to help, we must determine what value of theta (in radians) makes cosine -1.

On the unit circle, there is only place where cosine is -1, and that is at π.

Since it asks to find all solutions, we use the “+ 2kπ” to account for them. (Let me know if you need an explanation of why this works/what this means.)

Junk food is known for having a lot of "empty calories." Which statement BEST explains the meaning of that term?
A.
Empty calories do not have many nutrients.
B.
Empty calories are made entirely from sugar.
C.
Empty calories need exercise to burn them off.
D. Empty calories are excluded from daily calorie counts.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A. Empty calories do not have many nutrients.

Step-by-step explanation:

Which relation is a function?

Answers

Answer:

the third (bottom left) option

Step-by-step explanation:

for every valid value of x there must be exactly one value of y.

the first option is valid only for positive x, but then for every valid x there are always 2 possible y values (a positive and a negative one).

the second option is defined for only one value of x (3), but this x has infinitely many y values.

the fourth option is a circle defined for -r <= x <= r (r being the radius). in this defined interval almost every x has 2 assigned y values (only x = -r and x = r have one y value).

20 POINTS!!! ILL MARK BRAINLIEST! The hypotenuse of the triangle is 32, what is the radius of Circle B? Is the radius the same all around? If, both circles have the same ratio of equal radii all around, does that make them similar, what do we think about the similarity of all circles?
circle A is 1st image
circle b is 2nd image with question on it

Answers

Answer:

the radius is 4, it is the same all around, they are similar, all circles are similar

Step-by-step explanation:

you can use Pythagoras's theorem to find the radius. √33 ^2 = 32. the other lengths must be equal because they are radii. therefore they are √16 which is 4.

Rearrange 4x+2y to make Y the subject.

Answers

Answer:
y= -2x

Explanation:
4x+2y=0
2y= -4x
y= -2x

What set of numbers are shaded on the
hundred chart?
A only the factors of ten
B only the multiples of 10
C only the factors of 20
D only the multiples of 20

Answers

Answer:

D - 20, 40, 60, 80, 100 are all multiples of 20

Step-by-step explanation:

Factors of 10 - 10, 5, 2, 1

Multiples of 10 - D and 10, 30, 50, 70, 90

Factors of 20 - 20, 10, 5, 4, 2, 1

:)

What is the slope of the line that contains these points?
xxx 555 666 777 888
yyy -5−5minus, 5 -6−6minus, 6 -7−7minus, 7 -8−8minus, 8

Answers

Answer:i tink its D) - 4/3

Step-by-step explanation:

im bad at mat, so im sorry if im wron

Answer:a

Step-by-step explanation:

a

the capacity of cylindrical water tank is 539 litres. if its height is 1.4 metres then find the radius of the base.​

Answers

Answer:

350m

Step-by-step explanation:

• Capacity= volume/1000

• but we know that the volume of the cylinder is

[tex]\pi {r}^{2}h[/tex]

so substitute it I'm the volume space

• The substitute for

[tex]\pi \: as \: \frac{22}{7} \: and \: h \: as \: 1.4 \: and \: also \: capacity \: as \: 539[/tex]

• 539 = ((22/7)× r²× 1.4)/1000

• when you simplify you get r as 350m

!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Will give brainliest!!!

Answers

Answer:

5,-5,-2 are the solutions

Step-by-step explanation:

f(x)=0 thus, either:

1) x+5 = 0 and thus x= -5

or

2) x+2=0

thus x= -2

or

3) x - 5 = 0

thus x = 5

notice that the other bracket can be written as:

(x+2)(x-5)

5.0.75% of 80 is what number?

A. 0.6


B.0060


C.60


D.6000

Answers

Answer:

Um im sure the answer is C btw

Step-by-step explanation:

correct me if im wrong

0.6 from what I remember

What range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g.What is te relative percent precision of these weights

Answers

The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.

What is analytical balance?

The analytical balance is the device which is used to measure the mass or weight of the object with high level of precision.

Even using the analytical balance equipment, you do not get the accurate weight. For the measurement of the 0.2 g the precision level is ±0.1 mg.

For the positive number, the value will be 0.2100 gFor the negative number, the value will be 0.1900 g.

The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.

Learn more about the analytical balance here:

https://brainly.com/question/17119679

#SPJ1

please help mee i beg

Answers

Step-by-step explanation:

8.5 × -3 = a

-25.5 = a

b - 7 = -11

b = -4

c -(-3) = 15

c = 12

d - 4 = 32

d = 36

if you still have any doubts feel free to ask

Which equation is true when the value of X is -12?

A. 1/2x +22= 20

b 15 - (1/2)x=21

c 11- 2x= 17

d 3x- 19= -17​

Answers

Answer: B is right

Step-by-step explanation: Check the file for steps

Paul is going to buy a collectible vintage painting from a local art gallery. the painting is priced at $600 in the gallery. the gallery owner does accept credit cards but prefers cash. in fact, he offers to give paul a 5% discount if he can pay in cash. paul doesn't have any cash but can get a cash advance on his credit card. his credit card has an apr of 16% on credit purchases and a 32% apr on cash advances. assuming paul wants to pay the painting off over 12 months, which of the following is true? a. paul will pay a total of $696, over 12 months, if he purchases the painting with his credit card. b. paul will pay a total of $653.28, over 12 months, if he purchases the painting with his credit card. c. paul will pay a total of $782.40, over 12 months, if he purchases the painting with a cash advance for discounted purchase price. d. paul will pay a total of $708.96, over 12 months, if he purchases the painting with a cash advance for discounted purchase price.

Answers

When Paul will pay the amount over 12 months, if he purchases the painting with cash advance the discounted purchase price will be $782.40. Then the correct option is C.

What is APR?

APR on a credit card is the way of saying that the interest you are charged over a year is equal to roughly of your balance.

Paul is going to buy a collectible vintage painting from a local art gallery.

The painting is priced at $600 in the gallery.

The gallery owner does accept credit cards but prefers cash.

In fact, he offers to give paul a 5% discount if he can pay in cash.

Paul doesn't have any cash but can get a cash advance on his credit card.

His credit card has an apr of 16% on credit purchases and a 32% apr on cash advances.

When Paul will pay the amount over 12 months, if he purchases the painting with cash advance the discounted purchase price will be

[tex]\rm A = 0.95 \times 600 (1+\dfrac{0.32}{12})^{12}\\\\A = 782.40[/tex]

More about the APR link is given below.

https://brainly.com/question/8846837

Suppose that scores on an exam are normally distributed with mean 80 and standard deviation 5, and that scores are not rounded. What is the probability that a student scores higher than 85 on the exam

Answers

Answer:

3

Step-by-step explanation:

cus it's two 80s and 2 5 so 5 minus 2 is 3

A shipping crate is shaped like a rectangular
prism. It is 5 feet long by 3 feet wide by 3 feet
high. What is the volume of the crate?

Answers

The volume of the rectangular prism having the dimension 3 feet wide, 5 feet long, and 3 feet tall is 45 cubic feet.

What is a rectangular prism?

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

A crate is shaped like a rectangular prism. The crate is 3 feet wide, 5 feet long, and 3 feet tall.

The volume of the rectangular prism will be given as

Volume = length × width × height

Then put the values, we have

Volume = 3 × 5 x 3

Volume = 45

The volume of the rectangular prism having the dimension 3 feet wide, 5 feet long, and 3 feet tall is 45 cubic feet.

More about the rectangular prism link is given below.

brainly.com/question/21308574

Length=L=5ftWidth=B=3height=H=3

Volume

LBH5(3)(3)5(3)²5(9)45ft³

what is 5x - 3y + 2z, x =3, y = one third , z = 5 what does this equal

Answers

Answer:

asnwer 24

Step-by-step explanation:

x = 3

y = 1/3

z = 5
------------------------------

5( 3 ) - 3(1/3) + 2(5)

15 - 1 + 10 = 24

The letters in the word MATHEMATICIAN were put in a box. What is the chance of getting letter A?​

Answers

Answer:

3/13

Step-by-step explanation:

There are a total of 13 letters in the word and 3 of them are A’s so 3/13 is the probability of getting an A.

The probability of getting the letter A is given by P ( A ) = 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of getting the letter A be P ( A )

Now , the word is given as S = { "MATHEMATICIAN " }

The number of letters in the word S = 13 letters

The number of letter A in the word = 3 A's

So , probability of getting the letter A , P ( A ) = number of letter A in the word / number of letters in the word S

On simplifying , we get

The probability of getting the letter A , P ( A ) = 3/13

Hence , the probability is 3/13

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

please help! what is the arc RU? thank you so much!

Answers

Answer: 92° or 1.6057 radians

Step-by-step explanation:

the 4 angles created by the intersecting lines SU and RT have to equal 360°

<v = 88° because of vertical angles so

88° • 2 = 176°

360° - 176° = 184°

184°/ 2 = 92°

92°+92°+88°+88° = 360°

then, that makes 92° the central angle of arc RU and the central angle degrees is always equal to the arc it subtends

hope this helps :)

HELP ME PLEASE!!!!!!!!

Answers

Answer:

I think th answer is either 1753 or 17

17 is the answer i think

Rewrite the expression 2(3 - 4k) as a difference. Show your work.

Answers

Answer:

Step-by-step explanation:

Use Distributive Property: a*(b  -c) = a*b - a*c

2(3 -4k) = 2*3 - 2*4k

             = 6 - 8k

on her first day of work, mia sold one straw hat. on day two, she sold three straw hats. on day three, she sold five straw hats, on each succeeding day, she sold two more straw hats than she had sold on the previous day. how many straw hats in total had mia sold after working 40 days?

Answers

If Mia sold 2 more hats on each suceeding day, after working 40 days it is expected Mia had sold a total of 1523 hats.

How many hats will Mia sell everyday?

Day: Hats

1 = 12=33 = 54=75= 96=117= 138= 159=1710=1911= 2112=2313= 25among others

You can notice the number of hats she will sell follow a pattern as there are only sequential odd numbers.

How many hats will Mia sell in total?

By following the sequence let's add the hats she will sell everyday:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59 + 61 + 63 + 65 + 67 + 69 + 71 + 73 + 75 + 79 = 1523

Learn more about sums in: https://brainly.com/question/13013054

Does anyone know how to do this? I need to finish. My IXL before tomorrow I really need help!

Answers

Answer:

1. 72 to 56

2. 90 to 70

Step-by-step explanation:

To fill in the blanks you need to find similar ratios,

For the first one, the ratio is 72 and ___,

because 72 is in the 9's column, find out what times 9 equals 72,

9 × ? = 72

Simply divide to find the answer,

72 ÷ 9 = ?

= 8

Now that you know that 9 is being multiplied by 8, multiply 8 and 7 together,

8 × 7

= 56

Hence the answer is 56 for the first blank,

For the second one, the ratio is 90 and ___,

because 90 is in the 9's column, find out what times 9 equals 90,

9 × ? = 90

Once again simply divide to find the answer,

90 ÷ 9 = ?

= 10

Now that you know that 9 is being multiplied by 10, multiply 10 and 7 together,

7 × 10

= 70

Hence the answer is 70 for the second blank,

The function f(t) is given by the graph. What is the domain of f(t)?

Answers

Check the picture below.

Answer:

-4 ≤ t ≤ 4

Step-by-step explanation:

Other Questions
Please help! Its to early for my brain to function :/ find 10 words associated with the properties of gases? Triangle ABC is similar to triangle XYZWhich series of transformations correctly maps ABC to XYZ?Dilate ABC by a scale factor of 2 centered at the origin, then rotate the result 180 about the origin.Dilate ABC by a scale factor of 1/2 centered at the origin, then rotate the result 180 about the origin.Dilate ABC by a scale factor of 1/2 centered at the origin, then reflect the result across the x-axis.Dilate ABC by a scale factor of 2 centered at the origin, then reflect the result across the x-axis. Please help me answer this question please! Which of the following covers all qualified higher education expenses?OA. 529 Coverdell Education Savings AccountB. 529 college savings planC. 529 prepaid tuition planD. 529 federal college plan My teacher is gonna kill me. PLEASE HELP Alcohol damages:A) The Heart B) The BrainC) The StomachD) The LiverThis is a MULTI-SELECT question. 30 Points will be given! HURRY PLEASE!! Most intelligence tests are normed such that the mean score is 100 and the standard deviation is 15. Therefore, the discovery of the Flynn effect leads one to conclude that Choose the correct pronoun thatagrees with the conjugation below:-VAISA. NosotrosB. VosotrosC. Ustedes If a parent cell has 20 chromosomes, how many chromosomes will each daughter cell have at the end of the cell cycle If a country has falling birth rates, what would the government want to do in terms of migration? Will they want to force people in to the country? Force people out? What about xenophobic governments (think Japan)? Can someone please help me? :( (Pls help ASAP) (Willing to give 15 points for 2 answers) (Pls don't answer if you don't know)The second one you have to choose GREATER THAN, LESS THAN, OR EQUAL TO Holly opened a savings account at a local bank. She deposited $3,100.00 into the account 9 years ago. If the account earns anannual simple interest rate of 7.1%, how much interest has she earned? How do I answer this question? Which idea is most directly related to Lamarcks beliefs about evolution? If a sewage treatment plant malfunctions or if low-income areas lack sanitary waste disposal, raw sewage can be introduced into surface waterways. Describe one potential environmental problem or one potential human health problem that can result from the presence of raw sewage in surface waters. chase deposits $7440.93 into a savings account that pays a simple annual interest rate of 1.23% omg pls help and include work if you can. please simplify For each value of w, determine whether it is a solution to -8+5w >32.