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​

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

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.

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

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]

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

Answer:

The first equation is -8y

The second equation is -16.2h

Step-by-step explanation:

Hope that helps you out! :)

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!

Answer:

5

Step-by-step explanation:

The answer is 5 because it just is

Answer:

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

__________________________________________________________

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

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

Perimeter of ΔABC is 12.41 units.

From the picture attached,

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

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

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!

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.

Answer:

Step-by-step explanation:6232821

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.

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:

Possibly B but i'm not sure..

Answer:

10

Step-by-step explanation:

16/20=8/10

16/2=8

20/2=10

16 pearls/20opals=8perals/10opals

Answer:

The equation of a linear function is:

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:

Answer:

2x⁴ + x² + 64445555555555555556

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?

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

the answer is c which is the number 12

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.

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 :]

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