Y = -3x - 2 and 5x + 2y = 15

Answers

Answer 1

Answer:

(-19, 55)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -3x - 2

5x + 2y = 15

Step 2: Solve for x

Substitution

Substitute in y:                     5x + 2(-3x - 2) = 15Distribute 2:                          5x - 6x - 4 = 15Combine like terms:            -x - 4 = 15Isolate x term:                      -x = 19Isolate x:                               x = -19

Step 3: Solve for y

Define original equation:                    y = -3x - 2Substitute in x:                                     y = -3(-19) - 2Multiply:                                                y = 57 - 2Subtract:                                               y = 55

Related Questions

use the graph of the following function f(x) to find f(1)

Answers

From the graph of the function y = x - 1, it is found that f(1) = 0.

What is the missing information?

This problem is incomplete, but researching it on a search engine, it gives us the graph of the function y = x - 1.

How to find the numeric value of a function given a graph?

To find the numeric value of a function at x = a, we have to check the value of the horizontal axis when the vertical axis is of a.

For this problem, we want the numeric value at x = 1, hence, when the horizontal axis is of 1, the vertical axis is of 0, hence f(1) = 0.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

C) g(x) = (4-5x)²

If it’s even or odd

Answers

Answer:

odd

Step-by-step explanation:

the answer is odd, my dead grandma just finished this question since she failed 7th grade.

solve for x 3x + 6y = 9

Answers

X = 1
Hope this helps!

Write the equation of the quadratic function given vertex V and
point P, which lies on the function. Write the equation in standard
form f(x) = ax2+bx+c.
V (1,-9)
P (0,-8)

Answers

The quadratic equation that passes through points (1, - 9) and (0, - 8) is y = x² - 2 · x - 8.

What is the quadratic equation that passes through two points?

Graphically speaking, quadratic equations are parabolas. The quadratic equation in vertex form is described by this formula:

y - k = C · (x - h)²

Where:

(h, k) - Vertex of the parabola.C - Vertex constant.

If we know that (x, y) = (0, - 8) and (h, k) = (1, - 9), then the vertex constant is:

- 8 + 9 = C · (0 - 1)²

1 = C · (- 1)²

1 = C

C = 1

Then, the quadratic equation in vertex form is:

y + 9 = (x - 1)²

Whose standard form is:

y + 9 = x² - 2 · x + 1

y = x² - 2 · x - 8

The quadratic equation that passes through points (1, - 9) and (0, - 8) is y = x² - 2 · x - 8.

To learn more on quadratic equations: https://brainly.com/question/1863222

#SPJ1

Question 3
What is the smallest solution to the equation 14-5x| = 1?
0.6
0-1.0
o 1.0
O 1.6

Answers

Answer:

0.06

Step-by-step explanation:

0x x it expand almost done ✅✅✅


In 2017, U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together,
exports to these two countries totaled $525.4 billion. How much were exports to each
country.

Answers

The exports to each country are:

Exports to Mexico are $243 billion.Exports to Canada are $282.4

What are equations?The equation is described as the state of being equal and is often represented as a math expression with equal values on either side, or it refers to a problem in which many factors must be considered. 2+2 = 3+1 is an example of an equation.

So,

let the exports to Mexico be 'x'.

Exports to Canada will be x + 39.4.

Given:

U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together,Exports to these two countries totaled $525.4 billion.

So, the equation becomes:

x + x + 39.4 = 525.42x + 39.4 = 525.42x = 525.4 - 39.42x = 486x = 243

So, exports to Mexico are 243 billion.

Exports to Canada are 243 + 39.4 = 282.4

Therefore, the exports to each country are:

Exports to Mexico are $243 billion.Exports to Canada are $282.4

Know more about equations here:

https://brainly.com/question/2972832

#SPJ9

Mr. Arcos is opening a new restaurant. His restaurant has 8 tables with places for 4 people at each table. It also has 4 tables with places for 6 people at each table.

Today he is buying plates for the restaurant. The plates he is buying come in sets of 6 plates. How many sets of plates does he need to buy?

Answers

He needs to buy 10 packs, you have to round up to 10 because it’s around 9.3333

In the given case, we can conclude Mr. Arcos needs to buy 10 sets of plates for his restaurant.

To find out how many sets of plates Mr. Arcos needs to buy, we first need to determine the total number of people his restaurant can accommodate.

There are 8 tables with places for 4 people each, so these tables can seat a total of 8 x 4 = 32 people.
Additionally, there are 4 tables with places for 6 people each, which can seat a total of 4 x 6 = 24 people.

Therefore, the restaurant can accommodate a total of 32 + 24 = 56 people.

Since the plates come in sets of 6, we divide the total number of people (56) by the number of people served by each set (6) to find out how many sets of plates Mr. Arcos needs to buy: 56 / 6 = 9.33 sets. Since plates cannot be bought in fractions, he will need to round up to the nearest whole number. Therefore, he will need to buy at least 10 sets of plates for his restaurant.

Learn more about the topic of Mathematics here:

https://brainly.com/question/27235369

#SPJ2

28/48 simplified how do you simplify????????????????????

Answers

The answer is 7/12 on your simplification

Answer: 14/24 or 7/12

Step-by-step explanation: keep on dividing 2 or just divide by 4

Which of the following is the graph of y = |x-3l?

Answers

Answer:

You only show one answer A. Lucky for you it's the correct one.

Step-by-step explanation:

Determine the equation for the given line in slope-intercept form.

y=-5/3x-1

y=5/3x+1

y=3/5x+1

y=-3/5x-1

Answers

Answer:

The last answer is correct

y = [tex]\frac{-3}{5 }[/tex] x - 1

Step-by-step explanation:

You can see that the graph crosses the y axis at (0,-1).  So, the graph crosses the y axis at -1.  Count how much you go down and the to right from the point on the left to the point on the right.  You go down 3 and left 5.  This is a negative slope of [tex]\frac{-3}{5}[/tex].

y = mx + b  Put in the slope for m  and the y-intercept by b

y = [tex]\frac{-3}{5}[/tex]x = 1

Are the following inverses of each other?
f(x) = 5x - 3
g(x) = 2+3
O No, the composition resulted in f(g(x)) =
= x
O Yes, the composition resulted in f(g(x)) = x
O No, the composition resulted in f(g(x)) = 0
O Yes, the composition resulted in f(g(x)) = 0
and g(f(x)): =x
and g(f(x)) = x
and g(f(x)) = 0
and g(f(x)) = 0

Answers

Hi shhshwvsgxs sidhvxhdh surgdvcudu d dhdhdbd

5(g + 8) - 7 = 117 - g

Answers

Answer: g=14

Step-by-step explanation:

5(g + 8) - 7 = 117 - g

5g+40-7=117-g

5g+33=117-g

6g+33=117

6g=84

g=14

[tex]5(g + 8) - 7 = 117 - g[/tex]

[tex]5g + 5 \cdot 8 -7 = 117 -g\\[/tex]

[tex]5g + 40 -7 = 117 -g[/tex]

[tex]6g = 117 - 40 + 7[/tex]

[tex]6g = 84[/tex]

[tex]g = 94 : 6[/tex]

[tex]g = 14[/tex]

Elizabeth has 4 boxes of 100 toys and 3 toys that aren't in boxes. How many toys does she
have?

Answers

She has 403 right? It’s the only thing that makes sense

Answer:

Elizabeth has 403 toys.

Step-by-step explanation:

The main goal is to figure out how many toys Elizabeth has. So she has 4 boxes and each box has 100 toys. If she has 4 boxes of 100 it mean she have 400 toys but that's not the final answer. she also has 3 toys not in the boxes so we have to add that as well. So if we add 3 toys to the 400 toys we'd get a total of 403. Therefore Elizabeth has 403 toys and that would be our final answer.

I hope this helps, have a blessed day! :D

Which of the following statements models deductive reasoning?

I own a mean cat. My friend Lisa owns a mean cat. Therefore, all cats are mean.

People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.

There has been a hurricane in Florida every August for the past two years. Therefore, there will be a hurricane in Florida in August this year.

Every test in Mr. Johnson’s class this year has been easy. Therefore the test in Mr. Johnson’s class today will be easy.

Answers

Answer:

B.

Step-by-step explanation:

Vegans by definition do not eat any products containing the meat of an animal. Therefore if Mindy truly follows a vegan diet, she would not eat steak.

Answer:People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.

Step-by-step explanation:

Because deductive reasoning is when you make an inference about something. In option 2 they are making an inference that if Mindy does not eat steak she is a vegetarian. They have come to that conclusion by inferring she is a vegetarian because she does not eat steak.

Intern
Kenny ran 2400 m on Monday.
He ran 511 m less on Tuesday than on Monday.
How many metres did he run altogether on both days?

Answers

Answer: 4289

Step-by-step explanation:

Total = 2400+(2400-511) = 4289

Answer: 4289 meters

First subtract 511 from 2400 to determine how many meters ran on Tuesday, which is 1889 meters. Then add 2400 and 1889 to get you total meters for both days, which is 4289 meters.

What is the slope of the tangent line for the function f(x)=2x^2-5x+1 at the point (1,-2)

A. -1
B.-9
C. 1
D. 0
E.9

Answers

This is given by the limit

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}[/tex]

Observe that [tex]2x^2-5x+3=0[/tex] when [tex]x=1[/tex], and factorizing gives

[tex]2x^2 - 5x + 3 = (x - 1) (2x - 3)[/tex]

so that

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}[/tex]

(A)

Express the ratio below in its simplest form.
15:10

Answers

Answer:

3:2

Step-by-step explanation:

Divide 15 and 10 by 5.

A 24 oz bottle of a new soda costs $3.33. What is the unit rate, rounded to the nearest tenth of a cent?

Answers

$0.13 is the Unit rate I figured it out by dividing $3.33 by 24…

Absolute value of -3 is

Answers

Answer:

Step-by-step explanation:

The absolute value of -3 is 3.

Answer: 3

Step-by-step explanation:

Complete the equation.
(8 x 3) x 3 =
× (3 x 3)

Answers

Answer:

x=0

Step-by-step explanation:

Help me solve it please and include step by step.​

Answers

The slope of the line AC is equal to the slope of the line CE.

We have the points:

A = ( - 3 , 6 )

C = ( - 1 , 3 )

Slope of AC will be:

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope of AC = m₁ = ( 3 - 6 ) / ( - 1 + 3 )

m₁ = - 3 / 2

m₁ = - 1.5

Now,

C = ( - 1 , 3 )

E = (3 , - 3)

Slope of AC = m₂ = ( - 3 - 3 ) / ( 3 + 1 )

m₂ = - 6 / 4

m₂ = - 3 / 2

m₂ = - 1.5

So, we get that:

m₁ = m₂  

Therefore, we get that, the slope of the line AC is equal to the slope of the line CE.

Learn more about slope here:

https://brainly.com/question/3493733

#SPJ9

−2 (x + 1/3) + 9x = 4

Answers

Answer:

X= 2/3

Step-by-step explanation:

-2(x+1/3)+9x=4

Distribute: -2x-2/3+9x=4

Combine: 7x=14/3 ----- 4/1+2/3=12/3+2/3=14/3

Clear the fraction: 21x=14 ------- 7·3x=14/3·3/1

Divide: X=2/3 ------ 14/21÷ 7/7=2/3

X=2/3           Hope This Helps :)

Answer:

[tex] \sf \large \: x = \frac{2}{3} [/tex]

Step-by-step explanation:

−2(x+1/3)+9x=4

Step 1: Simplify both sides of the equation.

−2(x+1/3)+9x=4

(−2)(x)+(−2)(1/3)+9x=4(Distribute)

−2x+−2/3+9x=4

(−2x+9x)+(−2/3)=4(Combine Like Terms)

7x+−2/3=4

7x+−2/3=4

Step 2: Add 2/3 to both sides.

7x+−2/3+2/3=4+2/3

7x=14/3

Step 3: Divide both sides by 7.

7x/7 = 14/3/7

x=2/3

still trying to find help solving. Today is the last day, can someone help?​

Answers

Answer:wow we have the same homework

Step-by-step explanation:

Hey I was unsure on 4&7 but I did my best. Anything of the style of slopes that said N/A I’ll be honest I didn’t know. I strongly recommend going to your teacher and asking for help if you need it. Also, little tip, the more points you offer for a question (especially one with an entire worksheet), the more likely you are to get answers. I hope I was at least some help :)

find the measure of angle C of triangle ABC if:

Answers

Answer:

∠C = 180 - 3α

Step-by-step explanation:

The interior angles of a triangle always add up to 180°

So A + B + C = 180

C = 180 - (A + B)

= 180 - (α + 2α)

= 180 - 3α

last question is How many people carried a tablet but not a cell
phone?

Answers

Answer:

No.1 is 89 No.2 is 11 No.3 is 60 and the last one is 29

The principal interest formula I = Prt can be used to find the interest earned on an initial amount of money, called the
principal, P, given an interest rate, r, and an amount of time over which interest is accrued, t. Solve I = Prt for P when
I = $5,480, r = .04 annual interest, and t 7 years. Round your answer to the nearest hundredth.

PLEASE HELP GUYS

Answers

Answer:

1885.714

Step-by-step explanation:

I = ptr

5280 = 7×0.4×p

p = 5280/2.8

p = 1885.7

help plsssssssssssssssssssssssssssssss

Answers

Answer:

The answer is D

I've managed to find the area of the shape I just need help stating the units of my answer

Answers

It should be in centimetres squared (cm²)
Answer is cm2

They give you “cm” in the measurements
You are looking for cm2 or cm3?


The way I remember units (squared or cubed)
If it is two numbers multiplied it’s value is squared “X^2”
Two numbers is a two dimensional figure, it is flat <>
Example is 1/2 base x height is squared


If it is three numbers multiplied it is cubed
“X^3”
Three numbers is a three dimensional shape like a cube or

Example L x W x H is cubed

Find the probability of a point chosen at random being in the shaded area of the diagram at the right

Answers

Answer:

1/2

Step-by-step explanation: because it is shaded or not

The figure above is the aerial view of a parking lot
where the rectangles represent the entrances and
the circles represent the exits. What is the total 401
number of ways a driver can enter and exit this
parking lot?
A. 4
B. 7
C. 10
D. 12

Answers

Answer:

12

Step-by-step explanation:

There are 4 entrances and 3 exits, and thus 4(3)=12.

Other Questions
Which of the following best explains a development in the trans-Saharan trade networks in the period 12001450?(A) The networks became more dangerous because of religious conflict between Christian and Muslimstates.(B) The geographic range of the networks increased because of improved commercial practices.(C) The networks were increasingly disrupted because of the growing importance of maritime commerce.(D) The value of merchandise along the networks increased because of demand for silver and bronze fromMuslim states in North Africa and the Middle East. His concept of the ""informal organization"" suggests that cliques and other social groups can affect employee behavior. True or false?. will give brainliest!! please help me!! 7th-grade question3. Aliya hikes up a mountain for 2 hours. During this time, she hikes adistance of 1 1/3 miles. Which expression shows Aliyas rate in miles perhour?A. 1 1/3 miles 2 hours B. 2 hours+ 1 1/3 miles.C. 1 1.3 miles--2 hours D. 2 hours 1 1/3 miles If you have 3 moles of O2, how many O2 molecules do you have? By which process are fossil fuels formedO burning photosynthesisO decompositioncellular respiration Pentagon ABCDEA is shown on thw coordinate grid. Pentagon ABCDE is dilated with the origin as rhe center of dilation using the rule (x,y) (3/5 x, 3/5 y) to create A'B'C'D'E'. Which statement is true? During a baseball game, a batter hits a high pop-up. If the ball remains in the air for 4.06 s, how high above the point where it hits the bat does it rise? Assume when it hits the ground it hits at exactly the level of the bat. The acceleration of gravity is 9.8 m/s 2 . macroeconomists tend to combine many markets into one. for example, the behavior of all households and firms together is called 6Type the correct arnswer in the box. Spell all words correctly.Complete the sentence using the correct term.Keiko treats a number of patients who Iive in a remote area of her state. She talks to them viaa videoconferencing service. Keiko provides______to her patients. if two molecules of glucose (c6h12o6) are joined via condensation synthesis, the resulting molecule would have a molecular formula of . -3 + 4x = 41What's x What is a characteristic of general partnerships but not limited partnerships?unlimited liability for all partnersunlimited liability for all partnersan unlimited number of partnersan unlimited number of partnersoption to declare bankruptcy without penaltyoption to declare bankruptcy without penaltystockholders and a board of directors 3x-8=3(x-4)+1 plz plz help me fast is it infinite or no or one solution . Where did George Washington take his men during theAmerican revolution to rest, train, and regain the spirit tofight? Anyone know the answer?? In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are the same sex? How does the movement of the constellations provide evidence of earths rotation and revolution? The solution to the system is( , ) Why should you eat Cereal? A strong final sentence