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Use the substitution method to solve the system of equations.
8x + 5y = 9
y = x + 7

Answers

Answer 1

Answer:

point form: (-2,5)

Step-by-step explanation:

8x + 5y = 9

y = x + 7

sub. y into the first one

8x + 5(x + 7) = 9

8x + 5x + 35 = 9

13x + 35 = 9

solve for x

13x = -26

x = -2

solve for y

y = x + 7

y = -2 + 7

y = 5

Answer 2

Answer: I believe the answer would be (-2, 5) Hope this helped!


Related Questions

Somebody help please

Answers

Answer:

[tex]\sqrt{2000}\phantom{a}yards[/tex]

Step-by-step explanation:

For a right triangle, [tex]a^{2} =b^{2} +c^{2}[/tex], if a is the hypotenuse. So, [tex]60^{2} =40^{2} +c^{2}[/tex], and c is the the distance we are trying to find:

[tex]60^{2} =40^{2} +c^{2}[/tex]

[tex]3600=1600+c^{2}[/tex]

[tex]c^{2} =2000[/tex]

[tex]c=\sqrt{2000}\phantom{a} yards[/tex]

An object was dropped off the top of a building. The function f(x)=-16x^2+144f(x)=−16x 2 +144 represents the height of the object above the ground, in feet, xx seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

Step-by-step explanation:

Given the height at which an ogject dropped modelled by the function f(x)=-16x^2+144

The height of the body on the ground occurs at when f(x) = 0

0 =-16x^2+144

16x^2 = 144

x^2 = 144/16

x^2 = 9

x = 3

The ball reached the ground after 3 secs

The domain of a function is the input function that will make the function exist. Based on the function given, the function can exist on all given input value of x. Hence the domain of the function will be;

Domain =(-\infty, infty)

The domain of the function is required.

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The function is

[tex]f(x)=-16x^2+144[/tex]

The y intercept of the function is

[tex]y=-16\times 0+144\\\Rightarrow y=144[/tex]

[tex](0,144)[/tex]

The y intercept is the maximum height here.

The x intercepts are the points where the object is on the ground.

They are

[tex]0=-16x^2+144\\\Rightarrow 16x^2=144\\\Rightarrow x=\pm\sqrt{\dfrac{144}{16}}\\\Rightarrow x=\pm3[/tex]

[tex](3,0),(-3,0)[/tex]

The domain of the function is the set of real numbers

[tex]x\in(-\infty,\infty)[/tex]

The graph of the figure is attached.

Learn more:

https://brainly.com/question/20263812?referrer=searchResults

Find the sum.. -3/2 + 8/5 ​

Answers

Answer: 0.1 or 1/10

Step-by-step explanation:

1/10 is the answer you are looking for

Which one represents a proportional relationship?

Answers

Line D, because starts at the origin which is (0,0) and continues as a strait line. A and C does not start the the origin and line B does not travel in a strait line.
Hope this helps you

2x+5y=-62x+5y=−6 Determine the intercepts of the line

Answers

Answer:

(0,-6/5)

(X,Y)

Step-by-step explanation: MARK BRAINLIEST

Answer:

(-3,0)   (0,-1.2)

Step-by-step explanation:

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

The total surface area of the cuboid is 120 cm2

Which of these is a consumable good?
O Clothing
O Cell phone
O Automobile
O Food

Answers

Answer:

Food

Step-by-step explanation:

Answer:

food

Step-by-step explanation:

I need help with this question.

Answers

Answer:

[tex]\displaystyle S_{27}=675[/tex]

Step-by-step explanation:

The sum of N consecutive natural numbers is given by:

[tex]\displaystyle S_N=\frac{N}{2}(F+L)[/tex]

We need to find the sum of the natural numbers between 12 to 38.

To calculate the required sum we have F=12, L=38, but we don't have the value of N.

From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.

Substituting in the formula:

[tex]\displaystyle S_{27}=\frac{27}{2}(12+38)[/tex]

[tex]\displaystyle S_{27}=\frac{27}{2}(50)[/tex]

[tex]\displaystyle S_{27}=27*25[/tex]

[tex]\mathbf{\displaystyle S_{27}=675}[/tex]

Given the following information, write the linear equation in slope-intercept form.
3. slope = 1/3; y-intercept = -1
4. slope = 2/5; y-intercept = 0
5. slope = -1; y-intercept = 4​

Answers

Answer:

3) y = 1/3x - 1

4) y = 2/5x + 0 or just y = 2/5x

5) y = -1x +4

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

which value is equivalent to 3^2+5x2-8

Answers

3^2+5x2-8
9+5x2-8
9+10-8
19-8
Answer: 11

A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *

Answers

1,250/5 = 250 calories per serving
375/250 = 1.5 servings

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

Help quickly!!! Will give points!!

Answers

Answer:

you need to show the examples

Step-by-step explanation:

9-9÷9+9-9÷9=??????


25 points


and brainits for the first right answer

Answers

Answer:0.00015241579

Step-by-step explanation:

The answer is 17! :D

Have a good day <3

please help me please please

Answers

Answer:

I think it is the second one, flown by women

Step-by-step explanation:

The equation of the line in the graph is y= (blank) x+ (blank)

Answers

Y= -1x + -1 is the answer

what is 22.680 rounded

Answers

Answer:

22.68 or 22.7

Step-by-step explanation:

hope this helps

Answer:

23

My logic:

Well i just rounded up to the nearist one because you didn't specify how to round.

HELP
1.75^-0.5
(3/2)^2.4

Answers

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

this is one thing in math I can't figure out.

Answers

Answer:

12/9 and 4/3... Hit it in the calculator

6. Write the
equation
(0,5) and (5,1)

Answers

Answer:

There is no equation that you can write for that because the slope is undefined becasue 0 is in the denominator

Step-by-step explanation:

9514 1404 393

Answer:

  4x +5y = 25

Step-by-step explanation:

One way to write the equation is ...

  (y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)

  (1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5

  -4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1

  4x +5y = 25 . . . . standard form equation of the line

__

Another way to write the equation is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(5 -0)(x -0) +5

  y = -4/5x +5 . . . . slope-intercept form of the equation of the line

At a football stadium, 4% of the fans in attendance were teenagers. If there were 120 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

3000 people

Step-by-step explanation:

4% teenagers --> 120 teenagers were there

120/4 means 1% so 30 is 1%

1% times 100 is 100% so 30 times 100 equals 100% so 3000 is 100% of the people at the stadium

4%=1/25
120/1= 120*25= 3000

.04*3000= 120

3000 people in total

Which number is closest to 22 ?

Answers

Answer:

21 or 23

Step-by-step explanation:

Cuz 22 is in the middle of both.

.-.

Answer:

21 or 23

Step-by-step explanation:

BRAINLIEST PLS

You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons

Answers

Answer:

The volume of the concentrated 80 gallons mixture is 20 gallons

The volume of water in the 80 gallons mixture is 60 gallons

Step-by-step explanation:

The given parameters are;

The content of Container A = The cleaner

The concentration of the cleaner = 20% solution

The content of Container B = Pure water

The concentration of the desired solution = 5%

The volume of the required solution = 80 gallons

Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture

Therefore, we have;

20/100 × x + y×0 = 5/100×80

x + y = 80

y = 80 - x

20/100 × x + (80 - x)×0 = 5/100×80

0.2·x = 4

x = 4/0.2 = 20

x = 20 gallons

y = 80 - x = 80 - 20 = 60

y = 60 gallons

The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons

The volume of water in the 80 gallons mixture = y = 60 gallons.

What is the slope-intercept form of the line with the point (0, 3) and a slope = -2?
O A. y = 2x + 3
O C. y = -2x + 3
D. y = -2x - 3
B. y = 2x - 3

Answers

Answer:

2nd choice OC.y=-2x+3

Step-by-step explanation:

The equation for the slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. With these two numbers both given to us, we can just plug them in and get y=-2x+3.

Hope this helps you

Answer PLEASE ASAP
question on the image.

Answers

Answer:

The answer is DF

Step-by-step explanation:

The opposite side is 4 or EF, so the ADJACENT side would be 3 or DF according to SOH CAH TOA.

when this polynomial is divided by (m+1), the remainder is 0. What is the value of the polynomial’s constant term?

Answers

Answer: it would be -4

Step-by-step explanation:

I got it right one the mastery test

Answer: -4

Step-by-step explanation:

The movie theater makes $750 in a hour period, how many hours will it take for the theater to make $2575?

Answers

Answer:

3.43 hrs

or

3 13/30

orrrr

103/30

Step-by-step explanation:

The revenue earned from a sporting event can be determined by the ticket​ price, $125 each.

Answers

Answer:

all whole numbers

all whole-number multiples of 125

Step-by-step explanation:

The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbersThe range is the set of all whole numbers

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

[tex]\mathbf{y = 125x}[/tex]

The number of tickets cannot be less than 0.

So, the domain of the revenue function is:

[tex]\mathbf{Domain = [0,\infty)}[/tex]

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is:

[tex]\mathbf{Range = [0,\infty)}[/tex]

The above means that, the range is also the set of all whole numbers (in multiples of 125)

Read more about domain and range at:

https://brainly.com/question/1632425

Find the distance between the points (3, 9) and (-9, -7).

Answers

Answer:

20

I hope this helps!

6. At a football game, the home team gave a football to each of the first 1,000 fans who arrived at the stadium. Each football cost $31. What expression can you write that shows the total cost of the footballs?

Answers

Answer:

1,000*31 = 31,000

Step-by-step explanation:

since the first 1000 fans get a ball and each ball costs $31 then u multiply

A woman goes to macy's and wants to purchase the following items: A sweater for $19.99, a belt for $29.99 and a pair of earrings for $79.99. How much is her total bill? (assume no tax )

Answers

Answer:

129.97

Step-by-step explanation:

19.99+29.99+79.99=129.97

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