y = x - 2
y = 3x + 4
Is (4, 2) a solution of the system?

Answers

Answer 1

Answer:

No

Step-by-step explanation:

If you plug in the coordinates (4,2) to y=x-2 it will give you 2=2 which is rite, but if you plug it in to y=3x+4 it will give you 2=16 which isn't rite.


Related Questions

The output of a function is 5 more than 2 times the input. Find the input when the output is 17.

Answers

Answer:

The input when the output is 17 is x=6.

Step-by-step explanation:

Functions

Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.

Knowing the output of the function is 5 more than 2 times the input, we can write the function as:

f(x)=2x+5

Now find the input x when the output is 17:

17=2x+5

Swap sides of the equation:

2x+5=17

Subtract 5:

2x=17-5=12

Divide by 2:

x=12/6=6

The input when the output is 17 is x=6.

3x^2+9x+6=0
Solve for quadratic formula

Answers

Answer:

[tex]x=-1 ,-2[/tex]

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Define

3x² + 9x + 6 = 0

a = 3

b = 9

c = 6

Step 2: Substitute and Evaluate

[tex]x=\frac{-9 \pm \sqrt{9^2-4(3)(6)} }{2(3)}[/tex]

[tex]x=\frac{-9 \pm \sqrt{81-72} }{6}[/tex]

[tex]x=\frac{-9 \pm \sqrt{9} }{6}[/tex]

[tex]x=\frac{-9 \pm 3 }{6}[/tex]

[tex]x=\frac{3(-3 \pm 1) }{6}[/tex]

[tex]x=\frac{-3 \pm 1}{2}[/tex]

[tex]x=\frac{-2}{2} ,\frac{-4}{2}[/tex]

[tex]x=-1 ,-2[/tex]

2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.

(a) What output does the rule give when the input is ?

(b) What output does the rule give when the input is ?

(c) Is the rule a function? Explain why it is or why it is not.

Answers

Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

[tex]x = -6[/tex]

[tex]y = 0[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x => -6 - 3[/tex]

[tex]x => -9[/tex]

[tex]y=> y + 4[/tex]

[tex]y=> 0 + 4[/tex]

[tex]y=> 4[/tex]

Hence:

The output is (-9,4)

Solving (b):

Inputs:

[tex]x = 3[/tex]

[tex]y = -4[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x=>3-3[/tex]

[tex]x = 0[/tex]

[tex]y=> y + 4[/tex]

[tex]y=>-4+4[/tex]

[tex]y=>0[/tex]

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

YALLLL HELPPP
Question 2 of 10
If a country is taking action to increase its overall productivity and make sure
its businesses are successful, it is pursuing which economic goal?
A. Per capita improvement
O B. Economic growth
C. Stable prices
O D. Full employment
SUBMIT

Answers

Answer:

B.Economic growth

Step-by-step explanation:

per capita income can't be just improved by making a business successful

stable prices need a good income and that's not a point given in the question

Making business successful doesn't make all the citizens employed. so the most relevant answer is economic growth as grown business in a country provides tax and thus ensures the economic growth

Which of the following explains the relationship between angles C and D

Answers

Answer:

they are a linear pair

Step-by-step explanation:

they each add up to 180º when added together

They are a linear pair and supplementary. Both angles are 90 degrees, border each other and add up to 180, so they are both linear and supplementary.

Simplify this algebraic expression completely.
8y – 2(y+4)
ОА. бу – 4
ОВ. бу+2
Ос. бу+ 4
D. бу – 8

Answers

Answer:

2 (3 y - 4) <- Complete answer, but since you only have those choices it's

6 y - 8

Step-by-step explanation:

Simplify the following:

8 y - 2 (y + 4)

Hint: | Distribute -2 over y + 4.

-2 (y + 4) = -2 y - 8:

8 y + -2 y - 8

Hint: | Group like terms in 8 y - 2 y - 8.

Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:

(8 y - 2 y) - 8

Hint: | Combine like terms in 8 y - 2 y.

8 y - 2 y = 6 y:

6 y - 8

Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.

Factor 2 out of 6 y - 8:

Answer: 2 (3 y - 4)

7. Movers, Not Shakers moving company charges $800 plus $16 per hour. Hernia Movers
charges $720 plus $21 per hour.

a. After how many hours, h, would the two moving companies cost the same amount?




b. What would that amount be?

Answers

Answer:

a.16

b.1056

Step-by-step explanation:

a. So we know that Not Shakers charges 800 dollars  + 16 per hour, so we can call that 800 + 16h. We also know that Hernia Movers charges 720 dollars + 21 per hour, so we can call that 720 + 21h.

Now in order to find when they will have the same amount, we have to solve for h.

Equation:

800 + 16h= 720+21h

800=720+5h

5h=80

h=16

The two companies will have the same amount after 16 hours.

b. Now we have to find that amount, so all we have to do is replace h with 16. so 720 + 21(16) = 1056.

Therefore, the amount will be 1056 dollars.

Gwendolyn draws a hotdog on graph paper using the scale shown below. The hotdog has a length of 9
units in the drawing.
Scale:
10 cm
length
A
What is the length, in cm, of the actual hotdog?
cm

Answers

It’s 15 centimeters since it’s 9 units long. 10cm is 6 units and then you have 3 units left. Half of 6 is 3 so in order to find the cm for the last 3 units you divide by 2. So 10+5=15

The length of the actual hotdog comes to be 15cms.

What is a scale factor?

A scale factor is a ratio between corresponding measurements of an object and a representation of that object.

From the diagram

6 units = 10cm

So, 1 unit =10/6 cm

The length of the hotdog shown in the graph = 9 units

So, 9 units = 9*(10/6)

9 units = 15cms

So, the actual length of the hotdog =15cms

Thus, the length of the actual hotdog comes to be 15cms.

to get more about scale factors visit:

https://brainly.com/question/1903243

if the temperature was 55 degrees Fahrenheit and later on it was -13 degrees Fahrenheit whats the difference??

Answers

Answer:

68

Step-by-step explanation:

It just it

Answer:

68°F

Step-by-step explanation:

55 degrees minus -13 degrees is 68, the difference is 68 degrees Farenheit.

srry I meant 68

What is the vertex of y= x2 - 8x + 14 ?

Answers

Answer:

( 4 , − 2 )

Step-by-step explanation:

It cost Zachary $7.00 to send 140 text messages. How many text messages did he send if he spent $0.85?

Answers

Answer:

17 messages.

Step-by-step explanation:

Divide 140 by 7 to get 20.

This means it costs 1 dollar for 20 messages.

And therefore 17 messages for 85c.

-9fgh/f,f=0 I need help please I'm failing

Answers

Answer:

umm this seriously dont make sense..

To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this solution?

Answers

Answer:

Hey there! The answer you selected is correct!

Step-by-step explanation:

$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

What is inequality?

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars

So, money from walking neighbor's dog = 6c

and money from car wash = 7.5d

Therefore total money saved = 6c + 7.5d

Total Number of hours of work is not more than 15 hours

⇒ d + c ≤ 15

∵ Tom needs to make at least $75 to cover prom expenses

⇒ 6c + 7.5d ≥ 75

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

To learn more about inequality :

https://brainly.com/question/14506583

#SPJ2

7. What's the volume of a square pyramid that has a base side of 12 and a height of 16?
A. 2304
B. 1536
C. 192
D. 768

Answers

Answer:

2304

Step-by-step explanation:

You should multiply width by length by height

Customers of a utility company received notices in their monthly bills that heating costs for the average customer had increased 125% over last year because of an unusually severe winter. In January of last year, the Garcia's paid $120 for heating. What should they expect to pay this January if their bill increased by 125%?

Answers

Answer: $270

Step-by-step explanation:

Cost of heating last year = $120

The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:

= $120 + (125% × $120)

= $120 + (1.25 × $120)

= $120 + $150

= $270

What are all of the real roots of the following polynomial?
f(x) = x5 + 3x4 + 5x3 + 15x2 + 4x + 12

Answers

According to the graphic method, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.

How to find the roots of quintic equation

Quintic functions are polynomics of degree 5, there are numerical and graphical approaches to find real roots of those kind of polynomials. By algebra we know that quintic equations have at a least one real root and at most five real roots.

In this problem we shall use a graphic approach to determine the real roots of the quintic equation, as it offers sufficiency and quickness for analysis. Please notice that a point of the curve is a root if the point lies on the x-axis.

The graph is contained in the image attached below. According to the outcome, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.

To learn more on polynomials: https://brainly.com/question/11536910

#SPJ1

it says to show work...

Answers

Answer:

The answer is no solution.

Step-by-step explanation:

Solve xy − 9 = k for x. I WILL MARK BRAILIEST

Answers

Answer:

x = [tex]\frac{k+9}{y}[/tex]

Step-by-step explanation:

Given

xy - 9 = k ( add 9 to both sides )

xy = k + 9 ( isolate x by dividing both sides by y )

x = [tex]\frac{k+9}{y}[/tex]

solve for v pls thanks

Answers

Answer:

v = 18

Step-by-step explanation:

8/3v = 48

were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction

now we would have 8v = 48*3

48*3=144

now the equation looks like this 8v = 144

to isolate v we can divide 8 on both sides

which brings us to v = 18

High Hopes^^

Barry-

please help asappppp!!

Answers

Step-by-step explanation:

3 because I don't really know

Help me please, and thank u

Answers

Answer:

Step-by-step explanation:

Check the attached diagram... since they are parallel lines, those angles should be equal. now as per the theorem of opposite angles, (3x + 10)° should be equal to 70° .

(3x + 10)° = 70°

3x = 60°

x = 20

Plz HELP with a and b I WILL MARK AS A BRAINLIEST IF YOU CAN HELP ME WITH BOTH A AND B PLZZ

Answers

Answer:

a) x = 60

b) b = 110

Step-by-step explanation:

A)

2x and 120 are vertical angles.

vertical angles are equivalent.

2x = 120

divide both sides of the equation by 2

2x/2 = 120/2

x = 120/2

x = 60

B)

b + 20 and 130 are on the same side of the line

(I forgot what the math term is, but they're also equal)

b + 20 = 130

subtract 20 from both sides of the equation

b + 20 - 20 = 130 - 20

b = 130 - 20

b = 110

What is the reciprocal for
2 1/8?

Answers

Answer:

8/17

Step-by-step explanation:

Please make me the Brainliest, please and thank you.

Answer: 17/8

Im not sure of this sorry

help pls.. due in a few mins

Answers

Answer:

f(1)=1

Step-by-step explanation:

f(1) is talking about the x point. this point correlates with the y axis at (1,1). this makes the answer f(1)=1

can somebody help me ?

Answers

I believe it is B.) 110°

= –5x + 30 x = 10 What is the solution to the system of equations? (–20, 10) (10, –20) (10, 4) (4, 10)

Answers

Answer:

BBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

1. Choose the correct number to continue the pattern.
0, 5, 2, 7, 4, 9, 6,

Answers

Answer:

11

Step-by-step explanation:

Answer:

the next 3 are: 11,8,13. hope this helps!

J is the Midpoint of Segment MN. If MJ=23, Find MN.​

Answers

Answer:

46?

Step-by-step explanation:

Some1 help with the congruence statement plz

Answers

Answer:

It would be rotation what do u mean by congruent statement? Angles? B is congruent to D A IS CONGRUENT TO e

Step-by-step explanation:

5n + 3 > 4 - (6 – 5n)

Answers

3>-2 i believe
djdjjdksksk sorry i needed more characters
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