Solve the following system of equations.
(15 Points)
x + 3y = -5 & 5y - 10 = -20x

Answers

Answer 1

Answer:

( 1 ; -2 )

Step-by-step explanation:

x + 3y = -5..............1

5y - 10 = -20x........2

x = -5 - 3y..............3

5y - 10 = -20( -5 - 3y)

5y - 10 = 100 + 60y

-55y = 110

y = -2

x = 1


Related Questions


What type of number is 8/2?

Choose all answers that apply:
А
Whole number
B
Integer
C
Rational
D
Irrational

Answers

Answer:

A,B,C

Step-by-step explanation:

It is A because 8/2 simplifies to 4 which is a whole number.

4 is an integer, idk if its asking for 8/2 as itself but a fraction isnt an integer.

The fraction above is obviously rational number.

All the types for the number 8/2 is,

A. Whole number

B. Integer

C. Rational

Given that,

The number is,

⇒ 8/2

Now, simplify the number as,

⇒ 8/2

⇒ 4

Clearly, 4 is a whole number and it is an integer.

Here, 4 is written as, 4/1

So, it is also an rational number.

So, the correct options are,

A. Whole number

B. Integer

C. Rational

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The Corner Cafe offers a 10% off senior citizen discount. If Mr. and Mrs. Schmidt order $36.00 worth of food and are senior citizens, how much can they expect to save?

Answers

Answer:

$3.60

Step-by-step explanation:

$36.00 × 10%= $3.60

Find the intercepts of the given line:
y=−6x+21

Answers

Answer:

x-intercept = 3.5y-intercept = 21

Step-by-step explanation:

x-intercept is for y = 0

y-intercept is for x = 0

Substitute

For y = 0

-6x + 21 = 0    |subtract 21 from both sides

-6x = -21       |divdie both sides by (-6)

x = -21/(-6)

x = 21/6

x = 3.5

For x = 0

y = -6(0) + 21

y = 0 + 21

y = 21

The y-intercept is 21 and the slope is -6/1
So (0,21) is the starting point and if you rise -6 and run 1 you get (15,1) and you keep doing that until u get a line

H-E-B sells steak for $6.10 per pound. What would be the cost of 2.6 pounds of steak

Answers

Answer:

the answer is $15.86

Evaluate the function for the indicated input

Answers

[tex]f(0)=0^2+0-6=\boxed{-6}[/tex].

Hope this helps.

Simplify by dividing 3/5 divide by (-4/9).

Answers

Answer:

a)-27/20

Step-by-step explanation:

3/5 ÷ (-4/9)

3/5 × (-9/4)

-27/20

Hope it will help

Find the 84th term of the arithmetic sequence -5,15,35, ...

Answers

The 84th term of the sequence is 1655

How to determine the 84th term?

The arithmetic sequence is given as:

-5, 15, 35, .....

The above sequence has the following parameters:

Initial value, a = -5Common difference, d = 20

The nth term of the sequence is:

Tn = a + (n - 1) * d

So, we have:

T84 = -5 + (84 - 1) * 20

Evaluate

T84 = 1655

Hence, the 84th term of the sequence is 1655

Read more about sequence at:

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The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.

Answers

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

of equ
final equation is a true sta
A 4x - 3= 2x + 13

Answers

Answer:

8

Step-by-step explanation:

Step 1:

4x - 3 = 2x + 13        Equation

Step 2:

4x = 2x + 16     Add 3 on both sides

Step 3:

2x = 16     Subtract 2x on both sides

Step 4:

x = 16 ÷ 2     Divide

Answer:

x = 8

Hope This Helps :)

Answer:

x=8

Step-by-step explanation:

4X-3=2x+13

   +3.      +3

4X=2x+16

-2x.  -2x

2x=16

/2.   /2

x=8

Evaluate -9x-2 when x=-4

Answers

Answer:

34

Step-by-step explanation:

Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+ 16x– 4 = ?

Answers

Answer:

Step-by-step explanation:

If you factor out the greatest common factor (4), your expression should be

4 (x^2 + 4x - 1)

Answer:

[tex]4(x^2+4x-1)[/tex]

Step-by-step explanation:

Which product is negative?
0 -3.4.(-2) · (–7)
0 -3.5.(-6). 4
0 -4.(-6) · (-3) - (-5)
0 -7.(-3) · (–9). O

Answers

Answer:

The answer would be -3.5.(-6). 4

Step-by-step explanation:

Write the following equation in slope intercept form:
y + 9 = 3(x - 1)

Answers

y=mx+b
Distribute 3 to (x-1), 3x-3
y+9=3x-3
Subtract 9 on both sides
y=3x-12( the answer)

The slope intercept form of the given equation y + 9 = 3(x - 1)  is

y =3x-12 .

What is slope intercept form ?

The slope intercept is a form of two variable linear equation in x, y is given by

y = m x + c

y is y coordinate, x is x coordinate , m is called slope , c is y intercept

For the given equation

y + 9 = 3(x - 1)

⇒ y + 9 = 3x -3

Subtracting 9 from both sides of this equation, we get

y+9-9 = 3x-3-9

⇒ y = 3x - 12

This is the slope intercept form with m = 3 and c = -12

Therefore , the slope intercept form of the equation y + 9 = 3(x - 1)  is

y =3x-12

Also, Learn more about the slope intercept form from the link below:

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Solve for x: [x] - 8 = -5
O x = -13 and x = -3
O x = 3 and x = -3.
O x = 3 and x = 13
O No solution

Answers

Answer will be no solution

Which number set correctly represents the range of the given data?
{(0, 0), (2, 0), (3, 0), (5, 0)}

{0, 2, 3,5)
{0, 2, 3)
{0,2)
(0)

Answers

Answer:

I would assume {0, 2, 3, 5}

Step-by-step explanation:

I would assume that answer because all three are given in the range of the given data set.

Answer:

The answer is [0] (D)

Step-by-step explanation:

Given the fact that the Range is Y value, we see 0,0,0,0

So its 0

at the zoo there are 3 times

Answers

Answer:

at the zoo there are 3 times what?

Step-by-step explanation:

PLEASE HELP ME MY TEACHER IS MAKING ME REDO THIS AND I'M GONNA FAIL HER CLASS IF I DON'T FINISH THIS

Answers

Answer:

8 3/4 ?

Step-by-step explanation:

divide

srry if its not what your looking for

1.
Solve -x + 9x = -4
Solution x= and x =

Answers

Answer:

x = - 1/2

Step-by-step explanation:

-x + 9x = -4

8x = -4

x = -4/8

x = -1/2

Can someone help me

Answers

Answer:

Su=10

Explaination:

So from s to u on the nunebr line is worth 2x-12. So what is s to u worth? Well. S to t on the number line = x-7. T to u =6. And 2 x is worth 12 more than s to u, using th e expression. X has to be at least 8 because otherwise the x-7 wouldn't work, and u might get s to u = 0 or a negative number.

Say x was 13, then 13 - 7 =6. So S to t =6. And r to u =6. So s to u =12. (6+6). Then check if the expression fits this answer of 12. 2x - 12. 2x = 26. 26-12=14, which doesn't match.

Let's try 14. 14-7=7. Then s to u = 7+6=13. The expression: 2x= 28. 28-12=16. 13 and 16 dont match. So we have got further away from what we need. Why don't we try going in the opposite direction. Rather than testing 13 and +1, let's now - 1 and try 12.

If x=12, then s to t =12-7=5. And s to u =6+5=11. The expression: 2x=24.-12=12. We are very close now with 11 and 12.

Lets test x=11!

S to t = 11-7=4. 4+6=10. So s to u =10.

2x=22. 22-12=10. So the expression works and the number line measurements.

The answer is su=10 and x=11.

Click on the correct answer.
\(\frac{2}{5}\div2\frac{1}{4}\)

a:\(\frac{8}{45}\)
b:\(\frac{9}{10}\)
c:\(1\frac{1}{9}\)
d:\(5\frac{5}{8}\)

Answers

Answer:

A

Step-by-step explanation:

i am smart

A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value?

Fifty percent of the light bulb lifetime data is below five years.
The difference between the longest and shortest light bulb lifetime was five years.
The lifetime of the light bulbs typically varies by about five years from the mean.
The middle half of the light bulb lifetime data has a range that is five years wide.

Answers

The difference between the longest and shortest light bulb lifetime was five years is correct interpretation so option (B) will be correct.

What is the standard deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

In other meaning, standard deviation shows the deviation of the value of data from the mean.

Standard deviation is how much-given data is deviate from the mean of it.

So the difference between the longest to shortest gives an idea about this deviation.

Hence "The difference between the longest and shortest light bulb lifetime was five years is a correct interpretation".

To learn more about standard deviation,

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Norman answered the following question below lilith brought 20 cans to the food drive marcus brought 7 cans to the food drive if Paulina brought 8 more cans than lilith and marcus Combined, how many cans did Paulina bring. explain you answer​

Answers

Answer:

100 is a cool number

Step-by-step explanation:

i also ate a rock

Find the equation, in standard form, of the line passing through the points
(2,-3) and (4,2).
A. 5x+2y=16
B. 5x – 2y=16
C. y=5/2x+8
D. 2x – 3y=9

Answers

Answer:

B

Step-by-step explanation:

To solve for the slope:

(2-(-3))/(4-2)=5/2

y=5/2x+b

plugin points:

2=5/2(4)+b

2=10+b

b=-8

so equation of the line is y=5/2x-8

and in standrd form its 5x-2y=16

To which set or sets of numbers does the number 5 belong?

Answers

Answer:

what are the options

Step-by-step explanation:

i would help but I don't know what to answer

Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.

Answers

Given parameters:

Mass of the earth = 5.9726 x 10²⁴kg

Mass of  percent water on earth  = 5 x 10⁻⁴% of the total mass of the earth

Unknown:

Mass of water on earth = ?

Solution

This is pretty straight forward;

     Mass of water on earth  = mass percent of water x mass of earth

Input the parameters and solve;

    Mass of water on earth  = [tex]\frac{5 x 10^{-4} }{100}[/tex]  x 5.9726 x 10²⁴

                                           = 5  x 10⁻⁴ x 10⁻² x 5.9726 x 10²⁴

                                           = 5 x 5.9726 x 10⁻⁴⁺⁽⁻²⁾ ⁺²⁴

                                           = 29.863 x 10¹⁸kg

                    or 2.9863 x 10¹⁹kg

Mass of water on earth is 2.9863 x 10¹⁹kg

For the following exercises, rewrite the quadratic functions in standard form and give the vertex. Standard form is y=a(x-h)²+k
6.) f(x) = x² – 12x + 32

8. f(x) = x² - x

10. h(x) = 2x² + 8x - 10​

Answers

6.(x-4)(x-8)
8.x(x-1)
10.2(x+5)(x-1)

Find the slope of a line graphed below

Answers

Answer:

Slope is 2/5x

Step-by-step explanation:

Find the difference: 34.14 - 67.42

Answers

Answer:

the answer is -33.28

Step-by-step explanation:

is negative 2 rashihol

Answers

Answer:

Yes,  -2 is a "rashihol" number

Joe has ​$800 to spend on a new dining room table and chairs. If the sales tax is 8%​, how much can he afford to spend on the table and​ chairs?

Answers

Answer:

no

Step-by-step explanation:

800x8%=64

64+800=864

Answer:

$736

Step-by-step explanation:

800 x (100% - 8%)

800 x 92%

=736

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