Find the solution to the system of the equations shown below: y = -4x + 11
y=1/2x+2​

Answers

Answer 1

Hello!

[tex]\large\boxed{x = 2}[/tex]

Set the two equations equal to each other to solve:

y = -4x + 11

y = 1/2x + 2

-4x + 11 = 1/2x + 2

Add 4x to both sides:

-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***

11 = 9/2x + 2

Subtract 2 from both sides:

11 - 2 = 9/2x + 2 - 2

9 = 9/2x

Divide both sides by 9/2:

9 * (2/9) = 9/2x * (2/9)

x = 2.


Related Questions

Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

B. Side angle side
Both have two congruent sides and one congruent angle

3x+4y=8 please solve for Y

Answers

Answer:

(8-3x)/4

Step-by-step explanation:

3x+4y=8

4y=8-3x

y=(8-3x)/4

So the answer is (8-3x)/4

Write the following number in
scientific notation.
653,000

Answers

Answer:

6.53 X 10^5

Step-by-step explanation:

Answer:6.53 x 10*5

Step-by-step explanation:i don’t know how to show 5 as a small number but it’s an exponent

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.

18. George invests $5000 for 14 years at a rate of 2% per year compound interest. Calculate the interest he
receives. Give your answer correct to the nearest dollar.

Answers

Answer:

He will receive $1, 400 for interest

&

A total amount of $6, 400

Step-by-step explanation:

To find the interest, we must apply the following formula:

I = P × R × T

I represents interest

R represents rate

T represents time

P represents principle

Steps:

1. Change the rate, which is 2%, into a decimal.

2. Multiply the principle, which is 5,000, by the rate, which is 0.02.

3. Multiply the product of the principle and rate, which is 100, by the time, which is 14 years.

So he will receive $1, 400 interest.

To find the total amount he recieved, we must:

Add the principle, which is 5,000, and the current interest, which is 1, 400.

5,000 + 1,400= 6,400

He will receive a total of $6, 400

I hope this helps! I'm sorry if it's wrong.

Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?

Answers

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

The science department orders a new telescope and pays $253.87 after taxes.The tax rate is 6%. What was the original price of the telescope?

Answers

The original price would be $239.5, you can solve this by using proportions

Solve using substitution.

x − 4y = –14
3x + 8y = 18
ordered pair=?help

Answers

Answer:

(-2,3) if your doing substitution

(-2,3) for Elimination

Step-by-step explanation:

5x + 260 = -8x + 650 I got 75 but it was wrong

Answers

-260

then

-5x

-13x+390

-390

/-13

=

Answer:

x=30

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

ARE THESE FUNCTIONS
-TABLE A IS A FUNCTION
-TABLE B IS A FUNCTION
-NEITHER
-BOTH
HELP

Answers

neither is a function

9514 1404 393

Answer:

  Table B is a function

Step-by-step explanation:

The relation shown in a table is NOT a function if the same input value gives different output values.

In Table A, input Taurus gives different outputs, so Table A is NOT a function.

In Table B, there are no repeated inputs, so Table B IS a function.

Solve the inequality 4x-7<5

Answers

Answer:

x < 3

Step-by-step explanation:

Given

4x - 7 < 5 ( add 5 to both sides )

4x < 12 ( divide both sides by 4 )

x < 3

4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.

Answers

Answer:

To make 65 chocolate drinks, she needs:

12 g of chocolate powder and 5 marshmallows per drink.

Then she needs:

12g*65 = 780 grams of chocolate powder.

We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99

If she buys 3 jars, she will have: 3*250g = 750g

So she will not have enough, then she needs to buy 4 jars.

Then in chocolate powder, she will pay 4 times £2.99 = £11.96

And for marshmallows, she needs:

65*5 = 325 in total.

Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:

325/120 = 2.7

That should be rounded up (because she can not buy a 0.7 of a bag)

Then she needs 3 bags, and each bag costs £1.45

Then the total cost in marshmallows is 3*£1.45  = £4.35

Question Progress
Homework Progress
.
fou
a) Write down the coordinates
of point A
4
3
21
A
b) Plot the point B (3. -2) on
the grid
1
4 3 -2 -1 0
1
2 3 4
c) Point C has the
same x-coordinate as point A
same y-coordinate as point B
2
3
Write down the coordinates
of point

Answers

Answer:

Please check the attached figure!

Step-by-step explanation:

Part a)

Point A is located at the x-coordinate x=-4 and y-coordinate y=1.

Hence, the coordinates of point A = (-4, 1)

Part b)

Point B(3, -2) has been plotted and is shown in the attached figure.

It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)

Part C)

Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.

Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.

which number is irrational?
a. 0.3 repeating
b. 5/6
c. square root of 2
d. the square root of 9​

Answers

Answer: square root of 2

Step-by-step explanation:

There is no definitive answer for it, so it is irrational.

When two dice are rolled find the probability of getting a sum of 6 or 7 PLEASE ANDWER QUICK IM TAKINN A TEST

Answers

Answer:

y=mx+b hope this helps

Step-by-step explanation:

Answer:

11/36

Step-by-step explanation:

Solve this system of equations, then determine what y equals.

x + 5y= 7

2x + 4y = -4

Answers

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

Determine whether AB and CD are parallel, perpendicular, or neither. A(2,8), B(-1, -2), C(3, 7), D(0, -3)

Answers

Answer:

they're parallel



Solve for x ?
I don’t understand this

Answers

it’s A
this is my explanation

A bicycle rider rode her bike 8 1/4 miles on Monday. Yesterday, she rode 6 3/8 miles. The difference in length between the two rides is what fraction of the longer ride? Part B. What distance did she ride if she biked 2 2/11 times her distance on Monday? Explain your response.

Answers

Answer:

oof good luck tho let me know the answer

Step-by-step explanation:

find the value of x that would prove y/z State the converse used to support your answer.

Answers

Answer:

x=6

alternative exterior angles

Step-by-step explanation:

to prove y and z parallel then the two angles must be equal:

11x-3=4x+39

11x-4x=39+3

7x=42

x=42/7

x=6

PLZZ HELP ITS FROR A TEST THAT I EED TO PASS !!!!!
Frankenstein is definitely a classic and he can still manage to get a few scares, but the also classic Werewolf has seen better days. The Werewolf is often the target of scares and has an equation perpendicular to Frankenstein's. Frankenstein's equation is`y=x+5` and the Werewolf's equation passes through the point `\left(-1,-2\right).` What is the Werewolf's equation?

Answers

Answer:

3)-rightx (877

Find the equation of the line through point (-2,-2)and parallel to 3x+4y=12

Answers

Parallel = same slope
Turn 3x + 4y = 12 into y = mx + b
3x - 12 = -4y
-4y = 3x - 12
Divide by -4
Y = -3/4x + 3
Now: y = -3/4x + b
Plug in the point (-2,-2)
-2 = -3/4(-2) + b
-2 = 1.5 + b
b = -3.5
Equation: y = -3/4x -3.5
(Check my work, correct me if I’m wrong)
Here you go!! Hope this helps!

Lenora is a college student with a student loan of $7,500. Her tuition is $3,200 per year. She owns $470 worth of text books and a has a laptop computer worth $950. She also has a meal plan at school for which she pays $250 per month.

Answers

Answer:

Lenora’s assets is the text books

Step-by-step explanation:

From the question, we are informed about Lenora who is a college student with;

a student loan of $7,500

a tuition is $3,200 per year.

She owns $470 worth of text books and a has a laptop computer worth $950 and meal plan at school for which she pays $250 per month

Lenora’s assets in this case is her text books since we are told she owns the $470 worth of text books, and from the question other things from tuition to meal plan are on loan.

NOTE: Asset can be regarded as any property/ resources own by business or individual.

Answer:

the textbooks

Step-by-step explanation:

If you need points or just want points u can answer this very simple question:

What is 2 + 2?

Answers

Answer:

2 + 2 is 4

Step-by-step explanation:

thanks!!!!!!!

The answer is 4 ty for the points

How do organism replace dead or injured cells? Organisms can take cells from other organisms. Organisms are limited to the amount of new cells that they can make through their lifetime. Organisms can make new cells by consuming other organisms. Organisms go through mitosis that allows new identical cells to be made.

Answers

Answer: Organisms go through mitosis that allows new identical cells to be made.

explanation:

mitosis also occures when cells are worn out or are injured and the mitosis will replace the injured cells

A contractor needs to buy nails to build a house. The nails come in small boxes and
large boxes. Each small box has 200 nails and each large box has 400 nails. The
contractor bought twice as many small boxes as large boxes, which altogether had
3200 nails. Graphically solve a system of equations in order to determine the number
of small boxes purchased, x, and the number of large boxes purchased, y.

Answers

Here is your system of equations:

200x + 400y = 3200

y = 2x

Now plug into your calculator to see the graph.

Where the lines cross each other is the point that shows the solution.

hii guys happy chota dipawali​

Answers

Answer:

yay thats so coolllllllll

Hiiiiiii :) how are you all?

To solve -3 = -19 + , what steps would you use?


_________19


___________ 5

Answers

Answer:

16

Step-by-step explanation:

you need to first find out what number goes behind -19 and to do this you have to do -19 plus 16 because this equals -3 now your done

I WILL MARK BRAINIEST

Answers

Answer:parallel

Step-by-step explanation:

HELP PLS
What are the domain and range of the exponential decay function?
A) Domain: All real numbers; Range: All real numbers
B) Domain: x< 3; Range: y> 3
C) Domain: All real numbers; Range: y> 3
D) Domain: x > 3; Range: All real numbers

Answers

Answer:

Thus the domain is the real numbers and the range is y>3.

Answer: Option C)

Step-by-step explanation:

Domain and Range of Functions

To determine the domain and range of a function given on a graph, we use the vertical and horizontal line methods respectively.

The domain consists of all the values of x for which the function exists. We are told that the function is an exponential decay. Exponential functions without specified restrictions have a domain of all the real numbers.

Imagine a vertical line moving from minus infinite x to plus infinite. The line would always cross the graph at one point, thus the domain is all the real numbers.

Now for the range, imagine a horizontal line coming from y minus infinite. It won't get in contact with the graph until it approaches y=3. Once it goes up y=3, the line touches the graph in one point up to infinity y. The range is y>3.

Thus the domain is the real numbers and the range is y>3.

Answer: Option C)

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