y=-2x+4 y=6x+12 substitution method

Answers

Answer 1

Answer:

x = - 1, y = 6

Step-by-step explanation:

Given the 2 equations

y = - 2x + 4 → (1)

y = 6x + 12 → (2)

Substitute y = 6x + 12 into (1)

6x + 12 = - 2x + 4 ( add 2x to both sides )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 6(- 1) + 12 = - 6 + 12 = 6

Solution is (- 1, 6 )


Related Questions

3х + 5у = -3
x+2y = - 4/3​

Answers

I’m solving for x
X =2/3

Find x: 3x - 14 + 6 - 4 - 2x = 12

Answers

Answer:

X = 24

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

3x - 14 + 6 - 4 - 2x = 12

x - 12 = 12

x = 12 + 12

x = 24

Evaluate a+4 when a=7 but how do you do it doe?​

Answers

Answer:

11

Step-by-step explanation:

if a = 7

7 +4 = 11

or

a + 4 = 11

Hope this helps! Please mark Brainliest!

Sort these by RULE into 3 groups

Answers

| | |

Three Groups

one two three

The height above the surface of the Earth​ (in meters) of a rock thrown into the air at 10​ m/s after x seconds is given by f(x)=−9.8x2+10x+1.5. On the surface of the​ moon, the height is given by g(x)=−1.6x2+10x+1.5. How much higher does the rock travel on the moon than on​ Earth? The rock travels about __ ​meter(s) higher on the moon than on Earth.

Answers

Answer:

Rock travels about 8.2x²meters higher on the moon than on the Earth.

Step-by-step explanation:

Expression showing the height of a rock thrown into the air at Earth is,

f(x) = -9.8x² + 10x + 1.5

Similarly, expression showing the height of rock thrown on the moon is,

g(x) = -1.6x² + 10x + 1.5

Difference in the height of the rock thrown on moon = g(x) - f(x)

= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)

= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5

= 8.2x²

Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.

Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this number called?
Oirational
natural
unnatural
rational
Hell yall

Answers

Answer:

Irrational

Step-by-step explanation:

The number is called an irrational number.

These numbers have some distinct properties. The number of numbers after the decimal point is infinite. What this means is that it does not terminate. It keeps on repeating.

Also, these numbers cannot be represented as a ratio of two integers i.e two whole numbers. This is because they keep on going without termination.

Lastly is that these numbers do not repeat after decimal. What I mean by this is that they do not keep repeating a particular number after the decimal point. For example in cases like 2.33333; these are infinite too, but they can be represented by the ratio of two whole numbers and in such cases, they are not irrational in their own respect

Thomas spent $3.30 for 3 ice cream cones. Dan spent 2.50 for 2 ice cream cones. Who spent less per ice cream cone

Answers

Answer:

Thomas spent less per ice cream cone.

Step-by-step explanation:

Thomas spent $1.10 per ice cream cone.

Dan spent $1.25 per ice cream cone.

Solve for x: −2(x + 3) = −2(x + 1) − 4.
A. 2
b. 3
C. All real numbers
D. No Solutions

Answers

Answer:

I got No solution, D.

Step-by-step explanation:

find the perimeter of a triangle on a coordinate grid where a(-3,6), B(2,-6) and C(-3,-6)

Answers

Answer:

Step-by-step explanation: AB = 6-2=4 BC = 3 ( 3- ) = 6 ∙

Calulate AC find the formula ~ d = ≅[tex]\sqrt{x} 2-x1) + (x2 - y2) = 3,2 AC = \sqrt[n]{x} (3+3)2 + ( 2 - 6 ) 2 = \sqrt[n]{x} 36 + 16 = \sqrt{} 52 P = 4 + 6 \sqrt{} 52 17.21 to dec. places\\[/tex]

How many packs of DVDs can you buy with 150 dollars if one pack costs 15 dollars ?

Answers

Answer:

10 packs

Step-by-step explanation:

150 dollars divided by 15 dollars is 10.

How many lines of symmetry does the letter z have ?

Answers

Answer:

The Z is has no lines of symmetry. The W and Y have one line of symmetry. The X has two lines of symmetry.

Answer:

The letter Z has no lines of symmetry. No matter where you put a straight line through Z, it will never be symmetrical.

hope this helps! <3

h-(-2.22)=-7.851 solve for h

Answers

Answer:

[tex]\boxed {h = -10.071}[/tex]

Step-by-step explanation:

Solve for the value of [tex]h[/tex]:

[tex]h - (-2.22) = -7.851[/tex]

The opposite of [tex]-2.22[/tex] would be [tex]2.22[/tex]:

[tex]h - (-2.22) = -7.851[/tex]

[tex]h + 2.22 = -7.851[/tex]

-Subtract both side by [tex]2.22[/tex]:

[tex]h + 2.22 - 2.22 = -7.851 - 2.22[/tex]

[tex]\boxed {h = -10.071}[/tex]

So, the value of [tex]h[/tex] is [tex]-10.071[/tex].

Pls does anyone know the answer I need it fast

Answers

Answer:

The first one is 120 and the second is 200

Step-by-step explanation:

The range value is the domain value times 40

can I have the answer for c pleaseee ASAP

Answers

Answer:

a) -1/3 b) 3 c) y=3x-10

Step-by-step explanation:

Prove that: (1 + cos A)^2 - (1 - cos A)^2/
sin^2 A=
4cosec A. cotA​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

cosec x = [tex]\frac{1}{sinx}[/tex] , cot x = [tex]\frac{cosx}{sinx}[/tex]

Consider the left side

[tex]\frac{(1+cosA)^2-(1-cosA)^2}{sin^2A}[/tex] ← expand and simplify numerator

= [tex]\frac{1+2cosA+cos^2A-(1-2cosA+cos^2A}{sin^2A}[/tex]

= [tex]\frac{1+2cosA+cos^2A-1+2cosA-cos^2A}{sin^2A}[/tex]

= [tex]\frac{4cosA}{sin^2A}[/tex]

= 4 × [tex]\frac{1}{sinA}[/tex] × [tex]\frac{cosA}{sinA}[/tex]

= 4cosecAcotA

= right side,  thus proven

Angle Z is 21 degrees larger than twice the measure of angle T. If ∠Z and ∠T are supplementary, what is the measure of angle T? *

Answers

angle T = x

angle Z = 2x + 21

We know that supplementary angles add up to 180 degrees.

180 = x + 2x + 21

Combine like terms.

180 = 3x + 21

Subtract 21 from both sides.

159 = 3x

Divide both sides by 3

53 = x

angle T = 53 degrees

Please help me thanks

Answers

Answer:

A. Pair 1

Step-by-step explanation:

B is just repositioned, C is a reflection, and D is also a reflection.

traslate 2 units right and 5 untis up

Answers

Answer:

The slope would be positive 5/2

Step-by-step explanation:

When finding slope you do rise over run. Or rise/run.

This is rise |

This is run __

So going up or down is a rise.

And going left or right is a run.

Did this help??

Write the sentence as an absolute value inequality, then solve the inequality.
Half of a number n is at most 5 units from 14.

Answers

18≤n≤38 is absolute value inequality for the problem

At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of regular chips. What is the probability that you will buy a regular drink and a regular bag of chips?

Answers

Answer:

I guess that the purchase is at random, then let's see the possible options:

5 diet drinks.

10 regular drinks.

Total drinks = 15

6 bags of fat-free chips

10 bags of regular chips.

Total chips = 16.

Probability of buying at random, a regular drink is equal to the number of regular drinks divided the total number of drinks:

p1 = 5/15 = 1/3

Probability of buying at random a regular bag of chips, we use the same reasoning as before.

p2 = 6/16 = 3/8

The joint probability will be equal to the product of the individual probabilities:

P = p1*p2 = (1/3)*(3/8) = 1/8.

Answer:

the answer is 5/12

Step-by-step explanation:

You and your friend each purchase an equal number n of magazines. Your magazines cost $1.50 each and your friend's magazines cost $2 each. The total cost for you and your friend is $10.50. Write and solve an equation to find the number of magazines you purchased.

Answers

Given:

You and your friend each purchase an equal number n of magazines.

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Total cost = $10.50

To find:

The equation to find number of magazines you purchased.

Solution:

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Number of magazines purchased by you and your friend = n

Total cost = [tex]1.50n+2n[/tex]

It is given that total cost is $10.50.

[tex]1.50n+2n=10.50[/tex]

[tex]3.50n=10.50[/tex]

Divide both sides by 3.50.

[tex]n=\dfrac{10.50}{3.50}[/tex]

[tex]n=3[/tex]

Therefore, required equation is [tex]1.50n+2n=10.50[/tex] and the number of magazines purchased by you is 3.

i would like to keep track of how much candy i eat each day remember the y axis is vertical and axis is horizontal

Answers

Answer:then the days would be on the x axis (dependant variable) and the Amount of candy would be on the y axis(independent variable=something that can be changed)

In the figure, m<7 = 100. Find the measure of <9.

Answers

As < 7 and angle < 9 are alternate interior angles, their sum will be equal .

Which means :-

[tex] < \: 7 = < \: 9[/tex]

[tex] < 9 = 100°[/tex]

Therefore , the value of <9 is 100° .

The magnitude of ∠9 will be same as that of ∠7 which is equal to 100°.

What are parallel lines?

Two or more lines that lie in the same plane, equidistant from each other and never intersect each other are known as parallel lines.

Given is ∠7 = 100°.

The lines u and t are parallel to each other. The alternate interior angles are equal in magnitude. From the figure it is clear that ∠7 and ∠9 are alternate interior angles. Therefore, we can say that ∠7 = ∠9 = 100°.

Therefore, the magnitude of ∠9 will be same as that of ∠7 which is equal to 100°.

To solve more questions on Angle Relationship, visit the link below-

brainly.com/question/16603400

#SPJ2

Which of the following is the best estimate for the total change in distance from the group of​ students' original position at the​ surface? Round to the nearest ten.

Answers

Answer:

- 20 feet

Step-by-step explanation:

Cypress Middle School wants to have a fundraiser to buy art supplies. Fundraiser A will give the school $1.50 for each order placed plus $75 as a bonus. Fundraiser B will give the school $3.00 for each order placed, but no bonus. How many orders must be placed in order for the total amount of money earned by each fundraiser to be the same? a 150 b.5 c.17 d.50

Answers

Answer:

50

Step-by-step explanation:

Let the number of orders required be x

Fund raiser A , 1.50 for each other plus bonus of 75

for x orders, we have 1.50 * x = 1.50x

Add the bonus = 1.50x + 75

Fund raiser B, $3 for each other , no bonus

Total from fund raiser B is 3 * x = 3x

So to make them equal, we ensure that e equate both values;

3x = 1.5x + 75

3x -1.5x = 75

1.5x = 75

x = 75/1.5

x = 50

50 orders will make both funds equal

Line / passes through the origin and the point (3, 4). What is the slope
a line parallel to linel?

Answers

Answer: 4/3

Step-by-step explanation:

Slope of the line = (y2 - y1) / ( x2 - x1)

= (4 - 0) / ( 3 - 0 )

= 4 / 3

Sasha can make the scarves in 8 hours. At this rate, how many can you earn in 28 hours?

Answers

Answer: you can make 3 full scarves in 24 hours .

Step-by-step explanation:

I need help with this question please help
10x-7=13

Answers

10x -7 = 13

10x = 13+7

10x = 20

x = 20/10

x = 2

Which equation represents the vertical asymptote of the graph?

Answers

Answer: A) x = -8

There is a hidden electric fence of sorts where the graph slowly approaches this vertical line but never touches or crosses it. It might help to draw in a dashed vertical line through -8 on the x axis.

A vertical asymptote occurs when a division by zero error happens. For instance, the equation y = 1/(x+8) has a division by zero error when x = -8 since x+8 = -8+8 = 0 is in the denominator.

A square window has an area of x2 + 22x + 121 square feet. Find the length of one side of the square.
A) (x + 11) feet

B) (x – 11) feet

C) (x – 6) feet

D) (x + 6) feet

Answers

The answer is A(x+11)

x + 11 ft

Step-by-step explanation:

x² + 22x + 121 ft² = area of square

x² + 11x + 11x + 121 ft² = side²

x(x + 11) + 11(x + 11) ft² = side²

(x + 11)(x + 11) ft² = side²

(x + 11)² ft² = side²

x + 11 ft = side²

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