y = 4x – 18
y = -5x +9

Answers

Answer 1

Answer:

(3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                           4x - 18 = -5x + 9[Addition Property of Equality] Add 5x on both sides:                                   9x - 18 = 9[Addition Property of Equality] Add 18 on both sides:                                   9x = 27[Division Property of Equality] Divide 9 on both sides:                                  x = 3

Step 3: Solve for y

Substitute in x [1st Equation]:                                                                           y = 4(3) - 18Multiply:                                                                                                             y = 12 - 18Subtract:                                                                                                            y = -6
Answer 2

Answer:

x=3

y = -6

Step-by-step explanation:

y = 4x – 18

y = -5x +9

Set the two equations equal

4x – 18 = -5x +9

Add 5x to each side

4x – 18 +5x= -5x+5x +9

9x -18 = 9

Add 18 to each side

9x -18 +18 = 9+18

9x =27

Divide by 8

9x/9 = 27/9

x = 3

Now find y

y = 4x-18

y = 4*3 -18

y =12-18

y = -6


Related Questions

What is the period of the graph of…

Answers

The 2 doubles the amplitude (the height of the curve)
The +3 translates the whole curve up 3 units
The period tells you the space between repetitions of the curve.
When x = 0, y = 2 x 1 + 3 = 5
This next happens when pi/3 x = 2pi so x would = 6
The period of the curve = 6

Can someone help me plz

Answers

Step-by-step explanation:

the answer is in the image above

what is the cofficient in the expression 8x^2+1?

Answers

Answer:

8

Step-by-step explanation:

Answer is 8

Consider the equations:
y=|x-1| and y=3x+2
What is the approximate solution of this system of equations?

Answers

Answer:

ans: (-3/2, -5/2), (-1/2, -5/4)

Step-by-step explanation:

here;

y =| x - 1| can be any of form I.e

y = x - 1 say equation••••1

OR

y = -( x - 1) say equation •••2

our next equation is,

y = 3x + 2 say equation ••••3

substituting 'y' from equation 1 and 2 to 3

we got

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

- 3 = 2x -1 = 4x

hence

x= -3/2 and -1/4

substituting x in equation 3 we got

y = -5/2 and -5/4

OR ,

can be solve by iterative method which is quite long

Answer:

(-0.2,1.2)substitute 3x+2 for y and set them equal to eachother then plug in x for y

Step-by-step explanation:

Eve's sequence decreases by 2 hundreths each time. she picks a number to start with. what is the difference betwen her 3rd and 6th number?

Answers

Answer: 0.06

Step-by-step explanation:

Given

Eve's number decreases by 2 hundredths each time i.e. [tex]0.02[/tex]

Difference between 3rd and 4 th number is [tex]0.02[/tex], while the difference between 3 rd and 5 th is double the previous i.e. [tex]2\times 0.02=0.04[/tex]

So, the the difference between the 3 rd and 6 th number is three time the difference

[tex]\Rightarrow 3\times 0.02\\\Rightarrow 0.06[/tex]

Lauren eats 1/8 of a chocolate cake before supper, and then eats another 1/8 after supper.
a) What fraction of the cake did she eat altogether? ______
b) What fraction of the cake was left? __________ 2 marks

Answers

Answer:

she ate 2/8ths and left 6/8ths

I need help on this

A quarter circles fits exactly into a square of side 4 cm, as shown.

Determine the area of the shaded region, giving your answer correct to 3 significant figures.

Answers

Side of square = Radius of circle = 4cm

Area of full circle

= πr²

= (22/7) × 4cm × 4cm

= 352/7 cm²

Area of the quarter of circle

= Area of full circle/4

= (352/7)/4

= (352/7) × (1/4)

= 352/28

= 12.571 {approximately}

PLEASE THIS PICTURES ANSWER PLEASE 10 POINTS ............................
NO WRONG ANSWER REPORT......​

Answers

Hey buddy I am here to help!

1. 8*5*2 = 40*2= 80cm2

3. 10*25*60 = 250*60 = 15000m2

2. 12*12*12 = 36cm2

4. 3*5*18 = 90*4 = 360m2

Hope my answer helps!

Plz mark me brainliest!

● Question 3. answer is wrong in last multiply so their answer is 1728m^3...

In this image their in question (1,2,3,4) answer...

I hope you understand...

Mark me as brainliest....

Thanks

Which inequality is true?

A) |−6| > −6

B) |12| < |−5|
C) |−8| < 8
D) 7 > |−10|

Answers

Answer:

A) |−6| > −6

Step-by-step explanation:

Absolute value means take the non negative number

A) |−6| > −6 = 6> -6 true  

B) |12| < |−5| 12 < 5 false

C) |−8| < 8 8 < 8 false

D) 7 > |−10|  7 > 10 false

Pls help me with this!

Answers

Answer:

Your answer would be X ≥ -3

Step-by-step explanation:

Find the distance between the two points in simplest radical form.
(-8, -2) and (-6,2)

Answers

Answer:  [tex]2\sqrt{5}\\\\[/tex]

To get that answer, we apply the distance formula

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (-2-2)^2}\\\\d = \sqrt{(-8+6)^2 + (-2-2)^2}\\\\d = \sqrt{(-2)^2 + (-4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\[/tex]

As an alternative, you could plot the two points on the same xy grid, and then form a right triangle. Afterward, apply the pythagorean theorem and you should get the same result as shown above.

pls help I'll mark brainliest ​

Answers

Answer:

305°

Step-by-step explanation:

The angle between the north line at L and the line connecting PL is

125° (75° + 50° ) ← alternate angle between parallel lines

Then

bearing of P from L is 180° + 125° = 305°

How many eighths does it take to equal 1/4 model

Answers

Answer:

2 eighths.

Step-by-step explanation:

Answer:

2 eighths

Step-by-step explanation:

1/8 + 1/8 = 2/8 or 1/4

Please answer number 13 only​

Answers

Answer:

44%

Step-by-step explanation:

5 ½=5.5

12½=12.5

5.5/12.5=0.44

0.44×100=44%

Answer:

Answer:

44%

Step-by-step explanation:

5 ½=5.5

12½=12.5

5.5/12.5=0.44

0.44×100=44%

Step-by-step explanation:

I need help does the table represent a function

Answers

Answer:

b. no, because one x-value corrseponds to two different y-values

Step-by-step explanation:

for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.

x2+ y2 − 8x + 12y + 27 = 0

Using the standard form of the equation in question 1, what are the length of the radius and the coordinates of the center for this particular circle? Watch your signs for the variables h and k.

Answers

Central (4,–6)

Radius 5

Answer:

this was the answer from edmentum

Step-by-step explanation:

A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?

Answers

90% off means is is selling for 10% of the original price.

Multiply original price by 10%

107 x 0.01 = $10.70

It is selling for $10.70

which of the following is true?

Answers

Answer:

the right ones are a c and d maybe

Step-by-step explanation:

these are probably wrong but I need my points so figure it out.

how do you find the area of a rectangle​

Answers

Answer:

You multiply length by width.

Step-by-step explanation:

To find the area of a rectangle you multiply length and width together.

For example if a rectangle has length 2 and width 3 the area of the rectangle would be 6, since 2 * 3 is 6.

Answer:area =length x width

Step-by-step explanation:

which step in the construction of coping a lin segment ensures that the new line segment has the same length as the original line segment

Answers

Step-by-step explanation:

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

Here are the steps I think you probably will go through.

1. Draw a line that is longer than the segment but shorter than the width of the page.

1a. Make sure this line is  at least 1/2 inch from the left hand side.  

2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.

3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.

The key step either two or three.The steps to copy a line segment are given below:

1. Lets start with a line segment AB that we have to copy.

2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so as the compass width is equal to length of AB.

5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

In the ordered pair below, which value represents the input to a function?
(2, 3)

Answers

Answer:

2

Step-by-step explanation:

In an order pair

(x,y)

The first number is the input and the second number is the output

(2,3) 2 is the input and 3 is the output

what is the definition of risk ?

Answers

Answer: DOING SOMETHING THAT HAS THE POSOBILITY OF IT BEING BAD

Step-by-step explanation: BECAUSE

Answer:

D

Step-by-step explanation:

just got it right on edge

Anyone knows how to do "Using Congruence Postulates," I need help with an equation, can someone show me step by step.

Answers

It would be D. You already have an angle and a side congruency, so you would just need another angle. To prove congruency, they have to all be in a line, so if you are going from corner to corner of the shape, they would all be in line, and you wouldn’t skip any. I’ll attach a picture to hopefully give you a visual as to what I am talking about.. I hope this helps :)

5(4)-4/2 ??

Some know how to respond

Answers

Answer:

19 1/2??? Read explanation

Step-by-step explanation:

I am not sure entirely by your formatting when you put it into Brainly but since 5x4=20 and 20-1/2 = 19 1/2, the answer would be 19 1/2 but I am not sure due to the format.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)  

Answer:

18

20 -2 = 18

Step-by-step explanation:

select all explanation that prove triangle ABC is congruent to triangle A'B'C

Answers

Answer:

AB = A'B'

BC = B'C'

AC = A'C'

angle ABC = angle A'B'C'

angle CAB = angle C'A'B'

angle CBA = angle C'A'B'

Step-by-step explanation:

use different axomes to show relation,

Answer: Reflect ABC across the vertical line passing through C

Step-by-step explanation:

The cuboid and the triangular prism have the same volume. Find the value of x.

Answers

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

Which statement is true regarding the graphed functions?

Answers

Answer:

f(2) = 0 and g(2) = 0

f(2) = g(2) TRUE

b) f(0) = 2 and g(0) = -2

f(0) = g(0) FALSE

c) f(2) = 0 and g(0) = -2

f(2) = g(0) FALSE

d) f(0) = 2 and g(2) = 0

f(0) = g(2) FALSE

Assume the following: 1) the scattergraph intersects the Y axis at $200; 2) the estimated line on the scattergraph increases by $10 for every 1 unit of volume increase. What is total cost if volume is 20 units

Answers

Answer:

The total cost is:$400

Step-by-step explanation:

Given

[tex]x \to units[/tex]

[tex]y \to cost[/tex]

[tex](x,y) = (0,200)[/tex] --- when the graph intersects the y-axis

[tex]m = 10[/tex] -- the rate

Required

y when x = 20

First, we determine the equation of the plot using:

[tex]y = mx + c[/tex]

Substitute 10 for m

[tex]y = 10x + c[/tex]

Next, solve for c.

Substitute [tex](x,y) = (0,200)[/tex]

[tex]200 = 10*0+c[/tex]

[tex]200 = 0+c[/tex]

[tex]c = 200[/tex]

So:

[tex]y = 10x + c[/tex]

[tex]y =10x + 200[/tex]

When x = 20

[tex]y =10*20 + 200[/tex]

[tex]y =200 + 200[/tex]

[tex]y = 400[/tex]

Confused on how to solve this problem, please help and offer a step by step explanation

Answers

Answer:

7x+5=180

7x=175

x=25

Hope This Helps!!!

Jade has seven cards. Each card is labeled with a letter. A B C D E F G H J Jade picks one of her cards at random. Find the probability that the card she picks is a) labelled F, b) labelled with a letter in her name JADE c) labelled with a letter that has at least one line of symmetry

Answers

Answer:

(a) [tex]\frac{1}{7}[/tex]

(b) [tex]\frac{4}{7}[/tex]

(c) [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Probability (P) of an event is the likelihood that the event will occur. It is given by;

P = number of favourable outcomes ÷ total number of events in the sample space.

Given letters of cards:

A B C D E F G H J

∴ Total number of events in sample space is actually the number of cards which is 7

If a card is picked at random;

(a) the probability P(F), that it is labelled F is given by;

P(F) = number of favourable outcomes ÷ total number of events in the sample space.

The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.

∴ P(F) = 1 ÷ 7

=> P(F) = [tex]\frac{1}{7}[/tex]

(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;

P(N) = P(J) + P(A) + P(D) + P(E)

Where;

P(J) = Probability that it is labelled J

P(A) = Probability that it is labelled A

P(D) = Probability that it is labelled D

P(E) = Probability that it is labelled E

P(J) = [tex]\frac{1}{7}[/tex]

P(A) = [tex]\frac{1}{7}[/tex]

P(D) = [tex]\frac{1}{7}[/tex]

P(E) = [tex]\frac{1}{7}[/tex]

∴ P(N) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]

∴ P(N) = [tex]\frac{4}{7}[/tex]

(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;

P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)

Where;

P(A) = Probability that it is labelled A

P(B) = Probability that it is labelled B

P(C) = Probability that it is labelled C

P(D) = Probability that it is labelled D

P(E) = Probability that it is labelled E

P(H) = Probability that it is labelled H

Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.

P(A) = [tex]\frac{1}{7}[/tex]

P(B) = [tex]\frac{1}{7}[/tex]

P(C) = [tex]\frac{1}{7}[/tex]

P(D) = [tex]\frac{1}{7}[/tex]

P(E) = [tex]\frac{1}{7}[/tex]

P(H) = [tex]\frac{1}{7}[/tex]

∴ P(S) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]

∴ P(S) = [tex]\frac{5}{7}[/tex]

Other Questions
In an example food chain, rabbits only eat plants.Which type of consumer are the rabbits? Which method do you think the suspects used to make the coins, additive plating or displacement plating? Sarah says some people think Adnan was proven to be "duplicitous" because of his bad behavior at the mosque. Summarize the incident at the mosque, and explain why this part of Adnans life was significantly troubling to some people in his community. Finally, evaluate the situation: Do you think this part of Adnans life is relevant to the charge of Haes murder? Which statement best explains why herbivores are not considered parasites The map above is being reduced by a scale factor of 1/3 and printed at the subway station. How many square inches will the new map take up?new height = 24 inchesnew length = 15 inches neither you nor your sister should to them, (a)talk (b)talks (c)talked (d) talking whats the inverse of f(x)=x-3/5 what is the resistance of a bulb of 40w connected in a line of 70v HELP!!!what app is the best to learn spanish? Please answer this correctly without making mistakes Which of the following is/are subject to the restrictions of the fair debt collection practice act cos 45tan 60/cot 30 find the value Joseph borrows $10000 from his sister Katie at an annual interest rate of 10%. If theinterest is compounded twice a year, how much does he owe after 12 months? Give your answer in dollars. Question:The researcher wants to calculate the bacterial count in the dish after x hours of growth.Fill in the values of A and b to write an exponential expression to model the number of bacteria in a colony that beginswith a single cell and doubles in size every hourA(b)^x The tendency for objects to resist acceleration is called *A) motionB) inertiaC) reaction forceD) sluggishness Problem 12Given 12 consecutive integers, in how many ways can three of these integersbe selected to give a sum which divides by 4?A step by step explanation. A 2.7 kg mass is connected to a spring (k=159 N/m) and is sliding on a horizontal frictionless surface. The mass is given an initial displacement of +19 cm and released with an initial velocity of -13 cm/s. Determine the acceleration of the spring at t=3.4 seconds. pls help mee Apply scientific knowledge and understanding to solve problemsThe diagram shows waves being produced on a rope.The waves are not reflected by the wall.I. Outline an arrow on the diagram to show the direction in which the waves transfer energyRelated to the previous diagram, Which one of the arrows, labeled, X, Y, or Z, shows the amplitude of a wave? Suppose that next year the U.S. will be in one of the following economic conditions: Boom, Moderate Growth, Recession, or Depression. The probability that each economic condition will occur, and that a jewelry store will earn profits within that broader economic condition are listed below:Economic ConditionProbability. Jewelry Store ProfitsBoom0.40 $400,000Moderate Growth0.30 $300,000Recession0.20 $100,000Depression0.10 -$500,000The standard deviation of the jewelry store's profits next year is how many homologous pairs of chromosomes are present in a haploid cell that has 8 chromosomes and is in anaphase II of meiosis ll? explain your answer