Graph the system below and write its solution. Y=1/2x-1
-2x+y=4
You can answer no solution or infinitely many

Answers

Answer 1

Answer:

x = -3.3333333

y = -2.666666

Step-by-step explanation:

y = 1/2 x - 1

y = 2x + 4 The second equation has the 2x moved to the right side. The y's must be equal so equation the two equations.

1/2x -1 = 2x + 4             Subtract 1/2x from both sides.

-1 = 2x - 1/2 x + 4          Combine

-1 = 1.5x + 4                   Subtract 4 from both sides

-1 - 4 = 1.5x

- 5 = 1.5x                       Divide both sides by 1.5

-5/1.5 = x

x = - 3.333333

Now put x = - 3.333333 into either one of the two given equations. The first one will require one less step, but it does not matter.

y = 1/2 (- 3.3333333) - 1

y = - 1.6666666 - 1

y = -2.6666666


Related Questions

Translate this phrase into an algebraic expression. 8 less than the product of 4 and a number

Answers

Answer:

4n-8

Step-by-step explanation:

With n representing the unknown number.

The expression that represents "8 less than the product of 4 and a number" will be 4n - 8.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Translate this phrase into an algebraic expression. 8 less than the product of 4 and a number.

Let the number be n.

Then the product of 4 and n will be 4n.

Then the expression that represents "8 less than the product of 4 and a number" will be

4n - 8

The expression that represents "8 less than the product of 4 and a number" will be 4n - 8.

More about the Algebra link is given below.

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if f(x)= x^2+x and h(x)=5x-2 find f(f(2))

Answers

Answer: 2f^2

Step-by-step explanation:

Remove the parentheses: = ff x 2

Apply exponent rule: f^1+^1x2

Add the numbers 1+1=2 = 2f^2

I hope this is right.

What is 12 to the 3rd power in multiplication expression standard form

Answers

Answer: 12 x 12 x 12

12 to the 3rd power in multiplication expression standard form is 12 ×12 ×12

What are index forms?

Index forms are defined as mathematical forms that are used in the representation of numbers or variables that are too large or too small in more convenient forms.

Other names for these index forms are;

Scientific notationStandard forms

From the information given, we have that;

12 to the 3rd power in multiplication expression standard form

This is represented as;

12³

Expand the expression , we get;

12 ×12 ×12

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You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. how many hours should you work at each job to earn the maximum amount of money a week?

Answers

Answer:

5hours

Step-by-step explanation:

1 week =7 days

10 hr +20hr = 30 hrs

If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work

In each job you will work for 2hours 30

minute

Each day you will earn $60.00

At tutoring you get $37.50

At sippy drink you will get $22.50

In a week you will get a maximum of $420.00

Which number is greater than square root of one hundred fifty five?

Answers

Answer:

try 3

Step-by-step explanation:

5x-6y=4 (Slope intercept form)

Answers

Answer:

y = 5x/6 + -2/3

Step-by-step explanation:

To put this equation into slope intercept form, we simply need to solve for the y variable like so:

5x - 6y = 4

-6y = 4 - 5x

y = (4/-6) + (-5x / -6)

y = 5x/6 + -2/3

Cheers.

Answer:

y = 0.83x -0.66

Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 134 feet.

Answers

Answer:

L = 2w  134 = 2L + 2w

l= length

w=width

l=2w

P=Perimeter= 134 ft

P= 2(l+w)

 = 2(2w+w)

 = 2(3w) = 6w=134

w=134/6=22 1/3 ft

l= 2w = 2 x 22 1/3 = 44 2/3 ft

Hope it helps

1. What is volume, and how is it measured?

Answers

Answer:

volume is the amount of space that a substance or object occupies, it is measured in cubic units

Reciprocal of - 2 and 1/3

Answers

Answer:

3/7

Step-by-step explanation:

the reciprocal is -3/7

3(x + 1) = -2(x - 1) - 4.

Answers

Answer:

this is the answer x=-1

8/9p=12/18 whats the p value?

Answers

Answer:

p = 12/18

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8/9*p-(12/18)=0

Simplify.

Simplify more.

Find the Least Common Multiple

     The left denominator is :       9

     The right denominator is :       3

-2.1-[2.3-(3.5-(1.9))]
WITH AN EXPLANATION PLEASE
I WILL GIVE BRANLIEST TO FIRST CORRECT ANSWER

Answers

Answer:

-2.1

Step-by-step explanation:

How many inches are in 12 feet?

1 inch
24 inches
120 inches
144 inches

Answers

Answer:

144 inches

There are 12 inches in 1 foot.

12 inches x 12 feet = 144 inches.

The answer is 144 inches.

Hope this helps! Please give brainliest.

12 feet is equal to 144 inches. Therefore, option D is the correct answer.

We need to calculate how many inches are in 12 feet.

How to convert feet to inches?

To convert a measurement in feet to inches, all you need to do is multiply the number by 12.

That is 12 feet=12×12=144 inches.

Therefore, option D is the correct answer.

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Find the inverse of the following function g(x) = 2x+10/4

Answers

Answer:

Step-by-step explanation:

To find the inverse of the function you need to swap x and y

g(x)=y so therefore if you switch x and y, you get

x= 2y+ 10/4

Next, you need to get all of the values on the y side over to the x side. To do this you need to subtract 10/4 from the y side of the equation.

x-10/4=2y+10/4-10/4

The end product of this should be... (This is not your answer)

x-10/4=2y

Now you need to get rid of the 2 on the y side. To do this you need to divide both sides of the equation by 2

2/x-10/4=2y/2

So your answer is...

x-10/4 over 2 = y

OR

2/x + 5/4 = y

Lots of love,

-Kiddoo <3

first correct answer will get brainiest!!


On the first play of a football game, the Tigers moved backwards 5 yards. On the second play, the Tigers moved forward 10 yards. On the third play, they moved forward 10 yards. What is the total gain or lost in the three plays?

Answers

Answer:

they moved forward 15 yards

Step-by-step explanation:

Answer is 15 yards

Explanation is that in the first play the lost 5 yards making it -5, in the next 2 plays they gained 20 yards making the equation 20-5 making it 15 yards gained

Donis bought a t-shirt for $15 and jeans for $35.50. If the sales tax rate is 8.25%. What is the sales tax for the t-shirt and jeans in dollars and cents? *

Answers

Answer: 4 dollars and 17 centsThis is the same as saying $4.17

====================================================

Explanation:

15+35.50 = 50.50 dollars is the total before tax is applied.

Take 8.25% of this to get

0.0825*50.50 = 4.16625

and this rounds to 4.17, which is the amount of sales tax charged.

$4.17 = 4 dollars + 17 cents

---------

Extra info:

The grand total will be 50.50+4.17 = 54.67

Another way to get the grand total is to multiply 1.0825 by the previous subtotal (50.50) getting 50.50*1.0825 = 54.66625 and that rounds to 54.67

The multiplier 1.0825 effectively means "increase by 8.25%"

What input corresponds to 54?

Answers

Answer:

Solve for the input that corresponds to the given output value. (Round answers to three decimal places when appropriate. Enter your answers as a comma-separated list. Note: Even though the question may be completed without the use of technology, the authors intend for you to complete the activity using the technology you will be using.

Step-by-step explanation:

Sam is 5 feet tall. The expression 0.5m+60 can be used to calculate his height in inches if he grows an average of 0.5 inch each month. How tall will Sam be in 6 months?

Answers

Answer: 5ft 8in

Step-by-step explanation:

If f(x)=−2(x+7), then what is f(−10)? 66 3434 −34negative 34 −6negative 6

Answers

The Answer is 6.

Explanation:
f(x)=-2(x+7)
f(-10)=-2((-10)+7)
f(-10)=-2(-3)
f(-10)=6

UPS charges $7 for the first pound, and $1 for each additional pound. FedEx charges $5 for the first pound and $2 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

Answers

Answer:1

Step-by-step explanation:

0+1=1

Answer:

3 pounds

Step-by-step explanation:

1st pound:

ups=7

fedex=5

2nd  pound:

ups=8

fedex=7

3rd pound:

ups=9

fedex=9

An object is moving at a speed of 63 centimeters every 2 days. Express this
speed in meters per hour. Round your answer to the nearest hundredth.

Answers

Given :

Distance covered by object , D = 63 cm .

Time taken to cover distance D , t = 2 days .

To Find :

The speed of object in m/s .

Solution :

First we will convert all units into m and hours .

D = 63 cm = 0.63 m .

[tex]t=2\ days =2\times 24\ hours =48\ hours[/tex] .

Now , speed is :

[tex]s=\dfrac{D}{t}\\\\s=\dfrac{0.63}{48}\ m/hours\\\\s=0.013\ m/hours[/tex]

Hence , this is the required solution .

Answer:63

Step-by-step explanation:

Write the decimal 1.0001 in in word form

Answers

Answer:

I think it's one and one ten thousanths

Answer:

one and one ten-thousandth

Step-by-step explanation:

The answer is one and one ten-thousandth because:

1) The decimal point stands for "and"

2) The first 0 represents the tenths place

3) The second 0 represents the hundredths place

4) The third 0 represents the thousandths place

5) The one represents the ten-thousandths place

Hope this helps!

4. Kim runs a food truck. The expression 25s + 2h gives the cost of s sandwiches and h hot dogs.
Find the cost of 3 sandwiches and 7 hot chocolates.

Answers

Answer:

$89

Step-by-step explanation:

25s + 2h

25(3) + 2(7)

75 + 14

=89

Help me please,what is the value of C-F?​

Answers

Answer:

B = - 0.75

C = - 0.25

E = 0.25

F = 0.75

Drag an expression or phrase to each box to complete the proof.


It is given that JKLM is a parallelogram, so JM ll KL by the ____


. Therefore, ​∠1​ ≅∠2 by the corresponding angles postulate. Also, it is given that _____ ≅∠3, so ∠1≅ ____by the ____

Answers

JM is parallel to KL by the definition of parallelogram (opposite sides of any parallelogram are parallel)

Therefore, angle 1 = angle 2 by the corresponding angles postulate

We're also given angle 2 = angle 3

So angle 1 = angle 3 by the transitive property of congruence

I need help with math​

Answers

Answer:

E) |g-540|

Step-by-step explanation:

E) |g-540|

If it weighed a bit over, say 545, you would get |545-540|=|5|=5

If it weight a little under, say 535, you would get |535-540|=|-5|=5

Either way, it tells you how far away from 540 the package is in grams from the desired weight.

what is the solution to 3/4b=8

Answers

Answer:

[tex]b=\frac{32}{3}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}b=8[/tex]

Multiply both sides by 4:

[tex]4\times \frac{3}{4}b=8\times4[/tex]

[tex]3b=32[/tex]

Divide both sides by 3:

[tex]\frac{3b}{3}=\frac{32}{3}[/tex]

[tex]b=\frac{32}{3}[/tex]

Find 4ac when a=3 and c+39

Answers

Answer:

468

Step-by-step explanation:

a=3 and c=39

4(3)(39)

468

i believe you accidently wrote c+39 instead of c=39 :)

Answer:

468

Step-by-step explanation:

Replace:

4(3)(39)

=468

. Joseph tweets 1 3 times a day. Define each variable and write an algebraic expression to describe the number of posts after any given number of days

Answers

Given :

Joseph tweets 13 times a day.

To Find :

An algebraic expression to describe the number of posts after any given number of days.

Solution :

Let, number of tweets after x days are y.

Let, the relationship is , y = mx + c.

For, x = 1

13 = m +c     ...... 1)

x = 2

26 = 2m + c   .......2)

So, m = 13 and c = 0.

Therefore, algebraic expression to describe the number of posts after any given number of days is y = 13x.

Hence, this is the required solution.

Points A, B, and C are collinear. Point B is between A and C. Find the length indicated
2) AC = x + 2, BC = 1, and AB = 2x - 4.
Find x, AB, and AC.

Answers

Answer:

            x = 5             AB = 6             AC = 7

Step-by-step explanation:

Points A, B, and C are collinear and point B is between A and C then

AB + BC = AC

2x - 4 + 1 = x + 2

2x - 3 = x + 2

   +3          +3

2x  =  x + 5

  -x     -x

  x  =  5

AB = 2x - 4 = 2×5 - 4 = 10 - 4 = 6

AC = AB +BC = 6 + 1 = 7

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