Solves a systems of linear equations in two variables.
Solve the following systems by graphing
1) 2x + y = 5 and x-3y = - 8
2) 6x - 3y = - 9 and 2x + 2y = -6
Solve the following systems by substitution
3) y = 5x-3 and -x - 5y = - 11
4) 2x - 6 = 24 and x - 5y - 22
Solve the following systems by elimination
5) - 4x - 2y = -2 and 4x + 8y = -24
6) x - y = 11 and 2x + y = 19​

Answers

Answer 1
1) (2,-1)
2) (-2,-1)
3)(.156,-2.22)

Related Questions

An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?

Answers

Answer:

2.2 m/s

Step-by-step explanation:

Step one

Given data

An earthquake wave travels through 55 km

hence distance = 55 km

time taken = 25 seconds

Required

the expression relating t and d

Step two:

we know that velocity is

Speed= distance/time

speed= 55/25

Speed= 2.2 m/s

Find the slope between the following two points: (3, 1), (5, 4).

Answers

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Help me please:(for brainiest:(

Answers

Answer:

The first equation is -8y

The second equation is -16.2h

Step-by-step explanation:

Hope that helps you out! :)

4y-12y is -8y

-3.7h + h - 13.5h is -16.2h

4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is

Answers

Answer:

Step-by-step explanation:

If Sheila buys

200 shares for 18.25

200*18.25==3650

she sells them for

200*32.50=6500

her profit is

6500-3650=2850.00

another way to solve this would be

32.50-18.25=14.25

14.25*200=2850

solve the following equation: 8x^2 = 2x

Answers

Answer:

x = 0, x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

8x² = 2x ( subtract 2x from both sides )

8x² - 2x = 0 ( factor out 2x from each term )

2x(4x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]

rob is asked to graph this system of equations: 6x + 2y = 5; y + 3x =2; how many times will the lines intersect? A. there is no way to tell without graphing the lines first. B. the lines will not intersect, cuz the system only has one system. C. the lines will intersect once. D. the lines will intersect more than once.

Answers

Answer:

  C

Step-by-step explanation:

A and B are wrong and with D they wouldn't be lines so imma go with C.

Sorry if it's wrong.

I really need help :(

Answers

The correct answer is A
The answer is C. AY explanation:

(26+5)•2-15

Please show with step

Answers

(26+5)•2-15
31•2-15
62-15
47
That’s step by step

Answer:

47

Step-by-step explanation:

(26+5) • 2-15

Follow Pemdas

P.E.M.D.A.S

Parenthesis first

31•2-15

Multiplication next

62-15

47

16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio

Answers

Answer:

10

Step-by-step explanation:

16/20=8/10

16/2=8

20/2=10

16 pearls/20opals=8perals/10opals

Write an
explicit formula for the sequence 6,2,-2,-6-10, ... Then find the 1st term.

Answers

Answer:

Step-by-step explanation:6232821

Help me please and thank you

Answers

Possibly B but i'm not sure..

Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.

Answers

Answer:

28 soccer balls.

Step-by-step explanation:

Let there are 7x basketball and 6x soccer balls.

A sports store donates basketballs and soccer balls to the boys and girls club.

The store donates 24 soccer balls.

It means,

6x = 24

x = 4

No of basketballs = 7x

= 7(4)

= 28

Hence, the store denote 28 soccer balls.

can someone help me please !!!!!!

Answers

Answer: From top to bottom of the chart: -13, -6, 1, 8, 15

Step-by-step explanation:

You can solve the equation by putting the numbers in the graph (under the letter x) into the equation. Meaning when it says "-2", you can write 7(-2)+1, or 7 times negative 2 minus one, which equals -13. Do the same thing with the rest :]

Here a easy question for yall.

Hannah has 10 apples and she gave her friend 5 out of it. how much does hannah has now?


Easy~ UwU​

Answers

Answer:

5

Step-by-step explanation:

The answer is 5 because it just is

Answer:

5

Step-by-step explanation:

__________________________________________________________

Hannah gave her friend 5, so now she has 5!

__________________________________________________________

We can solve this by subtracting!

__________________________________________________________

10 - 1 = 9

10 - 2 = 8

10 - 3 = 7

10 - 4 = 6

10 - 5 = 5

__________________________________________________________

Hope this helps! uwu

__________________________________________________________

Please answer the question below

Answers

the answer is c which is the number 12

Solve the following equation for the
variable (a). -3a = 15
a = 5
a = 12
a = -5
a = 18

Answers

Divide -3
-3/-3a = 15/-3
a = -5
-3 x -5 = 15
a negative & negative equals positive!

Identify the constant of proportionality.

Answers

Answer:

14

Step-by-step explanation:

If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!

√ 25 –2√3 + √27 +2√ 9 Express in simplified radical

Answers

Answer:

The expression in simplified radical  form is:

√ 25 –2√3 + √27 +2√ 9 = 11 + √3

Step-by-step explanation:

Given the expression

√ 25 –2√3 + √27 +2√ 9

as

√ 25 = 5

√27 = 3√3

2√9 = 6

so the expression becomes

√ 25 –2√3 + √27 +2√ 9

= 5 - 2√3 + 3√3 + 6

= 11 + √3

Thus, the expression in simplified radical  form is:

√ 25 –2√3 + √27 +2√ 9 = 11 + √3

Will mark brainliest for whoever answers

Answers

Answer:

a; r=1 is the answer

Step-by-step explanation:

Answer:

c).r=1

Step-by-step explanation:

hope this help

pick me as the brainliest

Which of these equations represents a line parallel to the line 2x + y = 6?
A) y= 2X+3
B) y -2X=4
C) 2X -y=8
D) y= -2X+1

Answers

Answer:

D) y= -2X+1

Step-by-step explanation:

All of the lines are perpendicular to the line 2x+y=6 except for D) y= -2X+1.

Find the x and y intercept of the line below

2x + 5y = 10

Answers

Answer:

x - intercept = 5

y- intercept = 2

Step-by-step explanation:

2x + 5y = 10

Write the equation in   [tex]\frac{x}{a}+\frac{y}{b}=1[/tex]  form

So, divide the equation by 10

[tex]\frac{2x}{10}+\frac{5y}{10}=\frac{10}{10}\\\\\frac{x}{5}+\frac{y}{2}=1[/tex]

x - intercept = 5

y- intercept = 2

Answer:

(5,0) and (0,2)

Step-by-step explanation:

Basically, all we need to do is enter 0 for both variables. We can do this because the y-value of an x-intercept will always be 0, and the x-value of a y-intercept will always be 0.

So, to find the x-intercept we can set y equal to 0 and then solve for x.

[tex]2x+5(0)=10\\2x=10\\x=5[/tex]

So the x-intercept will be (5,0).

We can do the same thing to find the y-intercept.

[tex]2(0)+5y=10\\5y=10\\y=2[/tex]

The y-intercept is (0,2)

Hope this helps!

x⁴+x²+1+x⁴64445555555555555555

Answers

Answer:

2x⁴ + x² + 64445555555555555556

WILL GIVE BRAINLIESt:

Given: ∆ABC, AC = 5

m∠C = 90°

m∠A = 22°

Find: Perimeter of ∆ABC

Answers

Perimeter of ΔABC is 12.41 units.

From the picture attached,

ΔABC is a right trianglem(AC) = 5 unitsm(∠C) = 90°m∠A = 22°

Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] and sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

For angle A,

Adjacent side = AC = 5 units

Opposite side = BC

and Hypotenuse = AB

By substituting the values in the cosine ratio,

cos(22°) = [tex]\frac{5}{AB}[/tex]

AB = [tex]\frac{5}{\text{cos}(22^{\circ})}[/tex]

      = 5.39

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(22°) = [tex]\frac{BC}{5.39}[/tex]

BC = 5.39[sin(22°)]

     = 2.02

Since perimeter of the given triangle ABC = AB + BC + AC

By substituting the measures of all sides in the expression of the perimeter,

Perimeter = 5.39 + 2.02 + 5

                 = 12.41 units.

         Therefore, perimeter of the given triangle is 12.41 units.

Learn more,

https://brainly.com/question/5993308

When Ramon looked out at the school parking lot, he noticed that for every 3 minivans, there were 7 other types of vehicles. If there are a total of 150 vehicles in the parking lot, how many of them are minivans?

Answers

Answer:

Step-by-step explanation:

If there were 3 vans for every 7 cars, then there were 3 vans for every 10 of the total in the lot. Use a proportion to solve this:

[tex]\frac{vans}{total}:\frac{3}{10}=\frac{x}{150}[/tex] and cross multiply to get

10x = 450

so x = 45

There are 45 vans in the lot.

At the market, Meyer buys a bunch of bananas for $0.65 per pound and a frozen pizza for $4.99. The total for his purchase was $6.94, without tax. How many pounds of bananas did Meyer buy?

Answers

Answer:

Well, 6.94 - 4.99 = 1.95 also that divided by 0.65 = 3 So it is 3  pounds of bananas

Step-by-step explanation:

P.S can I have brainliest?

3 pounds
6.94-4.99=1.95
1.95*0.65=3
3

A package of notepads contains 6 yellow, 6 blue, 6 green, and 6 pink notepads. An experiment consists of randomly selecting one of the notepads and recording its color. Find the sample space for the experiment.

Answers

Answer:

24

Step-by-step explanation:

Given that:

Number of yellow notepads = 6

Number of Blue notepad = 6

Number of green notepads = 6

Number of pink notepads = 6

Samole space for experiment :

(Number of different distinct notepads * Number of notepads in each)

(4 * 6) = 24

Divide up the number 72 in a 2:3:4 ratio.
pls
no trolling last one was trolling i think

Answers

Answer:

16:24:32

Step-by-step explanation:

So you add all the 2+3+4 and you’ll get 9

Now divide 72/9, you’ll get 8

now multiply 8 on all the ratios

2*8=16

3*8=24

4*8=32

now put them together

16:24:32

Answer:16:24:32

Step-by-step explanation:

plsssssss help 5/6 x 7/8

Answers

35/48 or 0.7916repeating. not sure what you need it written as

Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.

Answers

Answer:

The equation of a linear function is:

[tex]y = 2x+4[/tex]

Step-by-step explanation:

Given the table

x                    y

-10               -16

-3                 -2

1                    6

2                   8

Determining the slope between the points (-10, -16), (-3, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (-3, -2), (1, 6)

[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (1, 6),(2, 8)

[tex]m=\frac{8-6}{2-1}[/tex]

[tex]m = 2[/tex]

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 2 and any point let say (1, 6)

[tex]y - 6 = 2(x-1)[/tex]

[tex]y-6 = 2x-2[/tex]

[tex]y = 2x-2+6[/tex]

[tex]y = 2x+4[/tex]

Therefore, the equation of a linear function is:

[tex]y = 2x+4[/tex]

Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 years, and at the rate of 7.5% per annum for the period beyond 3 years. If he pays a total interest of ₱ 15 750 at the end of 5 years, how much money did he borrow?

Answers

Answer: ₱40,909.1

Step-by-step explanation:

Given data:

Rate for first year = 4%

Rate for next two years = 6%

Rate for the next 3 years = 7.5%

Interest paid back after 5years = ₱ 15,750

Solution:

How much did she borrow.

= let the sum borrowed be P

= P * 4 / 100

= 4P/100

= 1P/25.

For the next two years

= P* 6 * 2/100

= 12P/100

= 3P/25

For the next 3years

= P* 7.5*3/100

= 22.5P/100

= 9P/40.

1P/25 + 3P/25 + 9P/40 = 15750

77P/200 = 15750

P = 15750 * 200 / 77

P = 315,0000/77

P = ₱40,909.1

The amount borrowed is ₱40,909.1

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