Activity B (continued from previous page)
3. Consider the system of equations y = -x + 3 and y = 4x+8.
A. Use the substitution method to find the solution
of this system. Show your work to the right.
B. What is the solution of this system? CI

Activity B (continued From Previous Page)3. Consider The System Of Equations Y = -x + 3 And Y = 4x+8.A.

Answers

Answer 1

Answer:

A. (see Step-by-step explanation)

B. (-1, 4)

Step-by-step explanation:

Since both functions are equal to y, we can set them equal to each other.

-x + 3 = 4x + 8

Add the x to both sides (because it is negative on the left) and subtract the 8 from both sides (because it is positive on the right and we need to isolate the variable).

-5 = 5x

Divide both sides by 5 (because it is being multiplied to the x) to isolate x.

x = -1

Next, to solve for y, we can plug in -1 for x in either equation from the beginning.

y = -(-1) + 3

y = 1 + 3

y = 4


Related Questions

I need to help my daughter and I can't, someone help me

Answers

Answer:

Step-by-step explanation:

2 9 16 23 30

4         16

6 7  8   9  10        

8          2

10 5 0 -5 -10

A building cast a shadow that is 72 feet long a garage next to the building is 27 feet high in Cassa shadow that is 4.5 feet long what is the height of the building

Answers

Answer:

c<190

Step-by-step explanation:

Step 1: Subtract 670 from both sides.

7c+670−670<2000−670

7c<1330

Step 2: Divide both sides by 7.

7c  7 <

1330

7

anyways thjis would be the answer c<190

Answer:

Step-by-step explanation:

FREE BRAINLIST NEED HELP ASAP

Answers

Answer:

G

Step-by-step explanation:

When you go left or down you subtract

WHen you go right or up you add

Answer:

Step-by-step explanation:

(x-8, y-13) to move left 8 and down 13

If LM = 6, what is the perimeter of △PKQ?

Answers

16 i believe
ur welcome
twenty-one? good luck

Please help two questions only that it those are only one left and I’m struggling on it

Answers

Answer:

popvana used struggle

Step-by-step explanation:

Answer:

P =  24

After 24h will be 108p

Each c is 6m

12 laps

Step-by-step explanation:

36 - 33 = 3

33 - 30 = 3

30 - 27 = 3

27 - 3 = 24

12h = 36p

12h × 3 = 36h

So 36p need to × 3 too

36p × 3 108p

Because 3c to 5c, 18m to 30m need 12m. There was no 4c so the 12m need to  divide two. 12m ÷ 2 = 6m.

So each c is 6.

72 ÷ 6 = 12

The six is from the last question.

Find the answer of m< VZY

Answers

Answer:

41

Step-by-step explanation:

If f(x) = (1/8)(8^x), what is f(3)?

Answers

Answer:

f(3)=64

Step-by-step explanation:

f(3)=(1/8)(8 cubed)

f(3)= 8 to the negative one times 8 cubed

f(3)= 8 squared

f(3)=64

Answer:

f(3) = 64

Step-by-step explanation:

In this question, you would plug in "3" to "x" and solve.

Solve:

f(3) = (1/8)(8³)

f(3) = (1/8)(8·8·8)

f(3) = (1/8)(512)

f(3) = 512/8

Simplify.

f(3) = 64

Your final answer would be f(3) = 64

Hello, happy Friday, I am just here with some geometry questions.

Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

Please explain this one! And show your work.

Answers

Answer:

VW = 43.2

Step-by-step explanation:

First, we can see that VZ = 88 - 55 = 33.

Then by the Triangle Proportionality Theorem, we can write that:

[tex]\displaystyle \frac{55}{33}=\frac{72}{VW}[/tex]

Simplify:

[tex]\displaystyle \frac{5}{3}=\frac{72}{VW}[/tex]

Cross-multiply:

[tex]216=5VW[/tex]

So:

[tex]\displaystyle V=\frac{216}{5}=43.2[/tex]

Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is at least one closed path when the relays are activated. The relays may malfunction and not close when activated. Suppose that the relays act independently of one another and close properly when activated, with a probability of .9. Given that current flowed when the relays were activated, what is the probability that relay 1 functioned?

Answers

Answer:

0.9009

Step-by-step explanation:

Let X be the event that Current will flow

Let Y be the event that the first relay which is 1 is closed

Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.

Thus, we can say that;

P(X ∩ Y) = P(Y)

Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;

P(Y | X) = (P(Y ∩ X))/P(X)

From earlier, we saw that P(X ∩ Y) = P(Y). Thus;

P(Y | X) = P(Y)/P(X)

From the question, P(Y) = 0.9

Since there are 3 relays, then we have;

P(X) = 1 - 0.1³ = 0.999

Thus;

P(Y | X) = 0.9/0.999

P(Y | X) = 0.9009

The  probability that relay 1 functioned is 0.9009

Calculation:

Let us assume X be the event that Current will flow

And,

Let us assume Y be the event that the first relay

So,  Thus, Y ⊂ X.

Now

P(X ∩ Y) = P(Y)

The probability that relay 1 functioned should be

P(Y | X) = (P(Y ∩ X)) ÷ P(X)

From earlier, we saw that P(X ∩ Y) = P(Y).

So,

P(Y | X) = P(Y) ÷ P(X)

Now

P(X) =[tex]1 - 0.1^3[/tex] = 0.999

So,

P(Y | X) = 0.9  ÷0.999

P(Y | X) = 0.9009

learn more about the probability here: https://brainly.com/question/4203858

Solve 3 ÷ 2. Express your answer as a mixed number.

Answers

Answer:

[tex]1\frac{1}{2}[/tex]

Answer:

when u divide u get 1.5

Step-by-step explanation:

1.5 is the same thing as "one and five-tenths," or "one and five over ten, or one and half," which is written as 112 as a fraction.

Which of the following is ALWAYS positive?
direction
O magnitude
O scalar
O vector

Answers

Magnitude is always positive

Hey PLEASE HELP ME ASAP I BEG OF YOU I WILL GIVE U BRAINLEST.

Answers

Answer:

31333.75cm³

Step-by-step explanation:

Volume = πr²h

= 3.14 × (46.45/2)² × 18.5 = 31333.75cm³

How do I solve this? Will mark brainliest, just trying to learn.

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

When we are looking for the starting average rating, we plug in zero for x. We do this because x represents time and we are looking for the starting value.

y = 0 + 5

y = 5

The table represents a function.
What is the value of f(-1)?
fa)
f(-1) = -3
-5
4
Of(-1) = -1
-1
f(-1) = 0
0
Of(-1) = 6
6
-1
9
-3

Answers

Answer:

i am not understand anway l am going to tray

f(x) =-x-1

so,f(-1) = -(-1) -1

f(-1) = 0

Andrew has three times as many pencils as Noah and five pens he has 17 pens and pencils altogether how many pencils does Noah have. Distributive property and solving equations

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The distributive property does not appear to be involved in this question.

Let n represent the number of Noah's pencils. Then Andrew's total is ...

  3n +5 = 17

  3n = 12 . . . . . subtract 5 from both sides

  n = 4 . . . . . .  divide both sides by 3

Noah has 4 pencils.

what is the mean of a set of numbers​

Answers

Answer:

The mean of a set of numbers, sometimes simply called the average , is the sum of the data divided by the total number of data. Example 1 : ... There are 8 numbers in the set. Add them all, and then divide by 8 .

plz give brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please I need help with this I don't understand my teacher gave us a valentines day assignment like what the heck I seriously don't get it I will mark you as brainliest if you answer correctly pls and ty aaaaa​

Answers

Answer:

A) 5x = y

B) [tex]2x \leq 100[/tex]

Step-by-step explanation:

A is 5x = y because there are 5 pink hearts per the number of boxes (x) bought.

B uses the equation 2x is less than or equal to 100 because the teacher is spending 2 dollars per kid and can spend a maximum of 100.

The graph for this is attached.

On Monday, a museum had 460 visitors. On Tuesday, it had 600 visitors. Estimate the percent change in the number of visitors l to the Museum.

Answers

Answer:

25% increase

solve 1/24 m - 2/3 = 3/4 for m

Answers

The solution of the linear equation is m = 34

How to solve the linear equation for m?

Here we want to solve the linear equation:

(1/24)*m - 2/3 = 3/4

To solve this, we need to isolate m in the equation, so let's start adding 2/3 in both sides:

(1/24)*m = 3/4 + 2/3

(1/24)*m  = 9/12 + 8/12 = 17/12

Now multiply both sides by 24, we will get:

m = 24*(17/12)

m = 2*17

m = 34

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Pls help!

What is 7/20+3/5 (as a fraction)
3/5+3/10 (as a fraction)
Thanks!

Answers

Answer:

your answers would be 19/20 as a fraction and 9/10 as a fraction

Step-by-step explanation:

:P

Answer:

15/20(3/4), 9/10

Step-by-step explanation:

well in order to add or subtract fractions for that matter, you must have the a common denominator meaning the bottom number on both of the fractions must be the same. and in order to do that you must take the smaller denominator and find what can multiply that into the bigger denominator so in your case 5 is the smaller denominator so in order to get 20 we multiply by 4 and so what you do to the bottom you must also do to the top so we have 3 and now we must also multiply that by 4 leaving us with 12/20 as our new fraction. so now the adding is easy, 7+12=15 and you keep the same denominator 20

so your first answer would be 15/20 and if you need that simplified then you do the same thing once again and you find a common factor between your denominator (the bottom number) and the numerator (the top number) and in this case they do have a common factor which is 5 therefore if you divide both parts ofthe fraction by 5 it will leave you with 3/4 which is your simplified answer to this first question

now for the second equation i'm not going to go through the steps one by one again, as we already have but you may feel free to practice these on your own, but if we skip the step of creating the denominators to be the same with a common factor, then we will should have 6/10+3/10 leaving us with 9/10 as our simplified answer because 9 and 10 do not have any number in common to divide by.

hope this helps, if it does please make sure to like, rate, learn from it, and mark me the brainliest if possible!

awesome hope you have a great day!

How are the triangles similar PLEASEEE HELPPPPPPP

Answers

Answer:

AA similarity postulate

Hope this helps you. Do mark me as brainly.

Write the equation and find the value of x. round side length to the nearest tenth and angle measures to the nearest degree​

Answers

Answer:

x = 31.4

Step-by-step explanation:

Equation:

sin 35 = 18/xx = 18/sin 35degx = 31.4 (rounded to the nearest tenth)

Tyler orders a meal that costs $15. The sales tax rate in Tyler's county is 6.6%. Write an equation to represent the relationship between the original cost of the meal and the cost after the sales tax. Use x for the original cost for the meal and y for the cost after sales tax.

Answers

Answer:

Step-by-step explanation:

y = (1.066)x

The equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

How to calculate the sales tax?

The sales tax is the amount charged on the price of goods and services.

Let x be the original cost for the meal

Let y be the cost after the sales

If the sales tax rate in Tyler's county is 6.6%, the tax charged is expressed as:

0.066 of theoriginal cost
0.066x

Cost after tax = original cost + tax
Cost after tax = x + 0.066x
y = 1.066x

Hence the equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

Learn more on tax here: https://brainly.com/question/9625982

Barry entered a singing competition. Three of 15 judges voted for him to go on to the semifinals.

What percent of the judges voted for him?

Answers

20% of the judges voted for him

3 divided by 15 = 0.20 multiply that times 100 to convert to percentage

20% because only 3 out of 15 voted for him if you take a candy bar and cut it out into 15 pieces and take away 3 you’re taking away 20% of the candy bar. And you’re left with 80% so that means 80% didn’t vote for him to go to the semifinals only 20% did.

Please Help!!!! 20 Points!!! Will mark Brainliest!!!!

Answers

The answer is 125 because x=-1.4649..

list the factors of 9​

Answers

Answer:

Step-by-step explanation:

the factors of 9 are 1,3,9

Answer:

1, 3, 9

[tex] \\ \\ \\ \\ [/tex]

Rt=R1 R2__, determined Rt when R1=100 and R2 =200?
R1+R2 (electronics)​

Answers

Answer:

[tex]R_t=300\ \Omega[/tex]

Step-by-step explanation:

Given that,

R₁ = 100 ohms

R₂ = 200 ohms

We need to find the equivalent resistance of the circuit. So,

[tex]R_t=R_1+R_2\\\\R_t=100+200\\\\R_t=300\ \Omega[/tex]

So, the equivalent resistance is [tex]300\ \Omega[/tex].

Help? Thanks also kinda easy

Answers

Answer: 292

Step-by-step explanation:

A fruit punch recipe uses 6 cups of lemonade for every 8 cups of fruit punch. If Sally used 15 cups of lemonade, how many cups of fruit punch were used?

Answers

20 cups of fruit punch

i need help with this problem down below

Answers

Answer:

[tex] y = 4 [/tex]

Step-by-step explanation:

Given:

[tex] y = \frac{7x + 1}{3x - 6} [/tex],

To find the value of y, let's find x by solving 3x = 15.

3x = 15

Divide both sides by 3

x = 15/3

x = 5

Plug in the value of x into [tex] y = \frac{7x + 1}{3x - 6} [/tex]

[tex] y = \frac{7(5) + 1}{3(5) - 6} [/tex]

[tex] y = \frac{35 + 1}{15 - 6} [/tex]

[tex] y = \frac{36}{9} [/tex]

[tex] y = 4 [/tex]

Other Questions
please answer me its math question! When kci dissolved in ethanol what is the intermolecular attraction between k+ ions and ethanol molecules Joe bought 17 carrots and 12 potatoes. The ratio of the number of carrots to the number of potatoes is NEED HELP PLEASE I ONLY HAVE 3 MINUTES LEFT WILL GIVE BRAINLIEST PLS HELPExplain the Angle Theorems and solve out the following the applications: I'm just learning about this help please794.561 x 10 2 A battery connected to two wires in parallel. Both wires are made of the same material and are of the same length, but the diameter of wire A is twice the diameter of wire B.True or False for the following:1) The resistance of wire B is four times as large as the resistance of wire A.2) The power dissipated in wire A is 16 times the power dissipated in wire B.3) The voltage drop across wire B is larger than the voltage drop across wire A.4) The resistance of wire B is twice as large as the resistance of wire A.5) The current through the battery is five times larger than the current through wire B. Instructions:Emotet is an advanced banking Trojan that primarily functions as a downloader of other Trojans. According to the Symantec Internet security threat report, Emotet first emerged in 2014 and, after a quiet period, reappeared to make waves in the second half of 2017. Emotet again made headline news when it was used in more attacks in late 2019. In this activity, you will do some research and answer the following questions about Emotet.Note:Include references to support each of your answers, such as the book, news article, or website you collected the information from. Only answers with references will receive points.1.[10 points] Explain how the malware spread itself. In particular, do you think its spreading mechanism is like a worm or a virus? Justify your answer. (4-6 sentences)2.[10 points ] Explain the concealment mechanisms employed by Emotet. (3-6 sentences)3.[10 points ] Explain how Emotet communicates with a command and control (C&C) server? (4-6 sentences) find the sum of the 2 terms of an A P are in the ratio of (2n-1):(2n+1) then find the ratio of their 10th term Why is the Supreme Court described asthe court of law? 1. In what ways did Greeks in different city-statesovercome the lack of farmland? which number is an integer? 6 4.2 3/4 5 1/2 what is [tex]\frac{-8 + \sqrt{-20} }{24}[/tex]? 2 + 6m + 7 = 57full answer no words pls i just wanna copy and paste What is the slope of the line through the points (-2, -1) and (4, 3)?HELP ITS FOR AN EXAM find the average rate of change f(x)=x^2-4x+1 from x=2 to x=6 Which of the following is NOT true about the characterization of entrance wounds ?A.ragged edges B.discoloration on edges C.More symmetrical than exit wounds D.Smaller than exit wounds Determine the center and radius of the following circle equation:x + y 6x 2y 71 = 0Center:Radius: What is the distance from one peak to the next peak called? What happened to the average lifespan during that time from 1963-2012? Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon. How long is the BLUE ribbon if the length of the RED ribbon is 12 inches?