What is the solution of the following systems of equations? y = 1/2x
y = -x -3

Answers

Answer 1

Answer:

x = -2,  y = -1

Step-by-step explanation:

System of Equations

Solve the system:

y = 1/2x

y = -x - 3

Multiplying the first equation by 2:

2y = x

Substituting x in the second equation:

y = -2y - 3

Adding 2y:

3y = -3

y = -3/3

y = -1

And x = 2*(-1) = -2

Solution: x = -2,  y = -1


Related Questions

Corresponding angles are
A. Complementary
B.Equal
C. Supplementary

Answers

Answer:

equal

Step-by-step explanation:

When the two lines are parallel Corresponding Angles are equal

Factor the polynomial:
462 + 15b - 4

Answers

Answer:

15([tex]\frac{458}{15}[/tex]+b) or

15(b+[tex]\frac{458}{15}[/tex])

Step-by-step explanation:

First we can subtract the 4.

458 + 15b

Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.

15([tex]\frac{458}{15}[/tex]+b) or

15(b+[tex]\frac{458}{15}[/tex])

Seventh grade
>
M.10 Multi-step problems with percents ZHX
A store purchased a hammock and marked it up 125% from the original cost of $36.57.
Then, wanting to make room for summer inventory, the store placed the hammock on sale for
45% off. What was the price after the discount?
If necessary, round your answer to the nearest cent.

Answers

Answer:

$20.57

Step-by-step explanation:

36.57 x 125% (or 1.25) = $45.7125

and

$45.7125 x 45% (or .45) = $20.570625 which rounded up is $20.57

Last year a pet groomer trim the nails of 865 cat and 1189 dogs if she charged $9 for pet how much money did she earn

Answers

Answer:

18486$

Step-by-step explanation:

Solve for x.

−3x + 2b > 8

Answers

Answer:

x<2/3b+-8/3

Step-by-step explanation:

Let's solve for x.

−3x+2b>8

Step 1: Add -2b to both sides.

2b−3x+−2b>8+−2b

−3x>−2b+8

Step 2: Divide both sides by -3.

-3x/-3>-2b+8/-3

x<2/3b+-8/3

Answer is : x<2/3b+-8/3

3,500 divided by what =70

Answers

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3500 ÷ 70 = 50

3500 ÷ 50 = 70

(GIVING BRAINLIEST!!)

Choose the equation that represents the fraction one eighth

A) 7 ÷ 8 = ________
B) 1 ÷ 8 = ________
C) 8 ÷ 7 = ________
D) 8 ÷ 1 = ________

Answers

Answer:

Step-by-step explanation:

The answer is d

Answer:

B.

Step-by-step explanation:

I did the test and got it right.

In the following equation y = 2x + 3, what value represents the growth?
Group of answer choices

Answers

Answer:

isn't it 2x?

Step-by-step explanation:

4x50=??? use a calculator only if you need to!

Answers

Answer:

so if you know what

4 x 5 is you can just add a 0 to the end

so 4 x 5 = 20

o now add a 0

the awnser is 200!!

Step-by-step explanation:

28% of the students voted for Julie as 8th grade Class President. If she got 126 votes, how
many students are in the 8th grade class?

Answers

Answer:

450

Step-by-step explanation:

[tex] \frac{28}{100} = \frac{126}{x} \\ \frac{7}{25} = \frac{126}{x} \\ 7x = 126 \times 25 \\ x = \frac{126 \times 25}{7} = 450[/tex]

or

[tex]126 \div 0.28 = 450[/tex]

y = (x - 2)2 + 3
Identify the vertex of the parabola

Answers

9514 1404 393

Answer:

  (2, 3)

Step-by-step explanation:

Compare the given equation ...

  y = (x -2)^2 +3

to the vertex form ...

  y = (x -h)^2 +k

You can see that h=2 and k=3.

The vertex of the parabola is (h, k) = (2, 3).

Select the correct answer. log(2x-100) = 3
What is the solution to this equation?

Answers

Answer:

550

Step-by-step explanation:

Rewrite in exponential form:

10^3=2x-100

Solve for x:

1000= 2x-100

2x=1100

x=550

The solution to this equation is x =550

What is logarithm?

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.

Given

Rewrite in exponential form:

10³=2x-100

Solve for x:

1000= 2x-100

2x=1100

x=550

To know more about logarithm refer to :

https://brainly.com/question/12049968

#SPJ2

You've gone to fruit stand to get some fresh produce. You
notice that the person in front of you gets 5 apples and 4 oranges
for 10 dollars. You get 5 apples and 5 oranges for 11 dollars.
Create a system of equations that represents this situation.

Answers

Step-by-step explanation:

Let $x be the price of an apple and $y be the price of an orange.

5x + 4y = 10

5x + 5y = 11

btw the solution is

y = 1

x = 6/5

What does "solution" mean?
What does it mean for a point to be a solution to a linear
equation?
For example, if I say, " (2,5) is a solution to the
equation y = 2x + 3," how could you check my claim?

Answers

Answer:

A solution to a linear equation means that the ordered pair is a point that lies on that line.

If someone were to say (2,5) is a solution to the equation y= 2x+3, you could check them by plugging in 2 where the variable "x" and seeing if y =5.

In this case,

y= 2(2)+3

y=7

(2,5) is not a solution.

5x -3x + 19 = 2x - 10​

Answers

answer :
5x - 3x + 19 = 2x - 10
5x - 3x = 2x - 29
5x - 3x - 2x = -29
0 = -29
doesn’t work

Answer: x = 7.25

Explanation:

Select TWO expressions that contain a coefficient of 4.

a. 6y+4−5×8

b.4+2w÷6+2

c.4r+9

d.2+4z

Answers

Answer:

Step-by-step explanation:

D

A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest

Answers

Answer:

Step-by-step explanation:

Speed=Distance/Time

1.5/78=0.01923076923

Answer rounded=0.02/0.019


Suppose that the functions r and s are defined for all real numbers x as follows.

Answers

Answer:

a)  ( r+ s) (x)  = 3 x + 9

b)   ( r . s ) (x) =  2 x² + 13 x +20

c) ( r- s) (x)  = -1 -x

Step-by-step explanation:

Step(i):-

Given that r(x) = x +4 and s(x) =  2x + 5

a)   ( r+ s) (x)  = r(x) + s(x)

                    = x +4 + 2x +5

                   = 3 x + 9

    ( r+ s) (x)  = 3 x + 9

b)

    ( r . s ) (x)  = r(x) . s(x)

                    = (x+4) . ( 2x +5)

                   = x ( 2x +5) + 4( 2x +5)

                  = 2 x² + 5 x + 8 x +20

                 = 2 x² + 13 x +20

( r . s ) (x) =  2 x² + 13 x +20

c)

 ( r- s) (x)  = r(x) - s(x)

               =  (x+4 - ( 2x +5)

              = x +4 - 2x -5

            = -x -1

( r- s) (x)  = -1 -x

     

What is the solution for 7 +2x/5=13

Answers

Answer:

The correct answer is,

[tex]x = \frac{65}{37} [/tex]

2) What is 18th term in this sequence: 45, 49, 53, 57,

Answers

Answer:

a₁₈ = 113

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 49 - 45 = 53 - 49 = 57 - 53 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 45 and d = 4, then

a₁₈ = 45 + (17 × 4) = 45 + 68 = 113

What three pairs of numbers have 5 as there greatest common factor?

Answers

Answer:

10 and 15, 20 and 25, and 35 and 45.

Step-by-step explanation:

0.002 inches
0.202 inches
0.022 inches
0.02 inches
Which of the following shows these amounts in order from LEAST to GREATEST?

Answers

Answer:

0.0202

0.022

0.02

0.002

Step-by-step explanation: I am 5 million iq brainlist pls

plz help me with this page ill give brainilest

Answers

Answer:

1. 5,570

2. 7,430 - 3,870 =3560

3. 0

4.15

5. 6/8   7/8

6. >

7.not equal

8.520,685

9.5

10. a-3210 b-2346

1. 6,790

2. b , c , e

3. 2

4.  3

5. 1

6.B

7. A-3  B-2

8. 7/13

9. 3/8

10. 543

How do I do this please hurry!!!!!!

Answers

Answer:

put a closed dot on -10. then draw a right arrow from -10 to 11

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Whenever the sign is greater than, the line needs to go to the right. Moreover, when it also is equal to, the dot must be shaded. The dot also needs to be on -10 in this instance.

In short, shaded dot on -10 going to the right.

if Leah makes $9.50 per hour and she works 36 hours this week, how much will her paycheck be before taxes?

Answers

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Step-by-step explanation:

I rlly need this now, show work pls :((

Answers

Answer:

1. y=-x-3 2.y=1/3x-4

Step-by-step explanation:

1. 3x+3y=-9

3y=-3x-9

y=-x-3

2. x-3y=12

-3y=-x+12

y=1/3x-4

4. Manuel, a son of a school janitor, does not ask for more. He has a daily
allowance of P10 a day which is 20% of his classmate's daily allowance. How
much is his classmate's daily allowance?
5. Carla, a grade six pupil
, has 24 sheets of art paper for his project in Math. If 6
sheets of art paper were used by Carla, what percent of the sheets of art paper
did she use?​

Answers

Answer:

4. His classmate's daily allowance is of P100.

5. She used 25% of the sheets of art paper.

Step-by-step explanation:

4. Manuel, a son of a school janitor, does not ask for more. He has a daily

allowance of P10 a day which is 20% of his classmate's daily allowance. How much is his classmate's daily allowance?

An allowance of P10 a day is 20% of his classmate's allowance, that is, 20% of x. So

[tex]0.2x = 20[/tex]

[tex]x = \frac{20}{0.2}[/tex]

[tex]x = 100[/tex]

His classmate's daily allowance is of P100.

5. Carla, a grade six pupil , has 24 sheets of art paper for his project in Math. If 6 sheets of art paper were used by Carla, what percent of the sheets of art paper did she use?​

She used 6 sheets, of the 24. So

[tex]P = \frac{6*100}{24} = \frac{100}{4} = 25[/tex]

She used 25% of the sheets of art paper.

PLEASE SOMEONE HELP ME WITH MY HOMEWORK ILL GIVE BRAINLIST TO WHOEVER GETS THIS RIGHT

Answers

Answer:

First one is sin 27 and cos 63

second one is sin 60

Step-by-step explanation:

Samuel runs around a 1-mile track in 10 minutes, and Sophia runs around the same track in
10 minutes. Assuming they continue running at their respective speeds, how many total
miles will they run in 35 minutes? Express your answer as a mixed number.

Answers

Answer:

3.5 miles

Step-by-step explanation:

Step one:

given data

Samuel runs around a 1-mile track in 10 minutes

Samuel's speed is

speed= distance/time

speed= 1/10= 0.1 miles per minute

Sophia runs around the same track in 10 minutes

Hence Sophia's speed is also = 0.1 miles per minute

Step two:

Given that the time is 35 minutes, and their speeds are 0.1 miles per minute, we can find the distance from

speed= distance/time

distance= speed*time

distance= 0.1*35

distance= 3.5 miles

please help me i really need help please help me please

Answers

Answer:

pluto

Step-by-step explanation:

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