The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers? Original system: x + y = 10, y = 4x Slope-intercept form: y = –x + 10, y = 4x Use the work shown to complete the statement. The slopes and y-intercepts of the two equations are , so this system has

Answers

Answer 1

Answer:

aight here ya go

The slopes and y-intercepts of the two equations are

✔ different

, so this system has

✔ exactly one solution

Step-by-step explanation: i got it wrong so you can get it right :0

Answer 2

The larger number is 8 while the smaller number is 2. The slope and y-intercept of the equations y = –x + 10 and y = 4x are different so the system has exactly one solution.

What is the equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given system of equations,

x + y = 10, y = 4x

The slope and y-intercept of (x + y = 10 ⇒ y = -x + 10) will be -1 and 10.

The slope and y-intercept of y = 4x will be 4 and 0.

Substitute, y = 4x into x + y = 10

x + 4x = 10

5x = 10

x = 2

And, y = 4 x 2 = 8

Hence "The larger number is 8 while the smaller number is 2. The slope and y-intercept of the equations y = –x + 10 and y = 4x are different so the system has exactly one solution".

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Related Questions

marking brainliest if ur correct

Solve the proportion.
3/5k = 7/3
k=

Answers

K= 35/9
Multiply5/3 on both sides

Answer:

I think you mean 35/k=7/3

Step-by-step explanation:

please answer correctly
36 - 7 p =-7 (p-5)

Answers

Answer:

71=-7

Step-by-step explanation:

HOW DO YOU EVALUATE

(To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.)

Allison earns $8.50 an hour at her job serving at iHop, and also earns $9 each hour she tutors her little brother in math. She graphs the amount of hours
she works at her iHop job (x) and the number of hours she tutors (y) to determine how to eam at least $870. Which type of boundary line should she use in
her graph?

Answers

Answer:

i

Step-by-step explanation:

In the diagram triangle XYZ is congruent or equal to triangle MNL. Copy and complete the statement.

Answers

Answer:

5. 124 degrees

6. 23

7. 8

8. LN with a line over the top

9. Triangle symbol ZYX

10.Triangle symbol NML

Step-by-step explanation:

5. You are working with congruences.  Therefore, for #5 it is asking about the angle Y.  Look at the diagrams.  Angle Y is congruent with angle N therefore your answer is 124 degrees.

6. In 6 they want to know what angle M is.  Well, you already know that the interior of a triangle is 180 therefore, you would subtract 180-124=56. You then subtract angle L which is the same as angle X and therefore is 33. 56-33=23. So angle M is 23.

7. For 7 they want to know what the line YX is.  Again, we are working with congruences and therefore line YX is the same as line NM so the answer is

8. In 8, the want to know what the line YZ is equal to.  Working with congruences, you know that line YZ=LN. Make sure you put the line over LN as they did with YZ.

9.Working with congruencies, they want to know what triangle LNM is equal to.  Looking at the diagram, you know that since they are congruent, triangle LNM is equal to triangle ZYX. Make sure you use the triangle symbol.

10. Again, they what to know what the triangle is equal to.  Look at your diagram.  Line YX is equal to line NM.  Line XZ is equal to line ML. Line ZY is equal to line LN.  to triangle YXZ is equal to triangle NML.  I think they just want you to put the letters in the corresponding order.

I hope these are correct and that this helps you.

Catherine and Peyton work at the local swimming club. The
wages earned for the weekend are shown in the table and
graph. Which statement is true?

A. Peyton makes more per hour than Catherine.

B. Peyton makes twice as much as Catherine.

C. Peyton and Catherine make the same amount per hour.

D. Catherine makes more per hour than Peyton.

Answers

Answer: A.

Step-by-step explanation:

Select the correct answer. The points scored per game by a professional basketball player are represented by the box plot below. If the player scores 9 points and 35 points in the next two games, how is the median of the data set affected? A. The median points per game is not affected. B. The median points per game decreases. C. The median points per game increases. D. The effect on the median points per game cannot be determined.

Answers

Answer:

may answer will be option A or B not sure about this answer

Step-by-step explanation:

Answer:

The median points per game is not affected.

Step-by-step explanation:

If 4(r+2)-13=11, what is the value of r ?

Answers

Answer:

r=4

Step-by-step explanation:

First you multiply 4 by r which gives you 4r. Then you multiply 4 by 2 to give you 8.So it looks like this now

4r+8-13=11

Now you add thirteen to both sides and get

4r+8= 24

Then you subtract both sides by 8 to get 16

4r=16

Then you divide both sides by 4 to get 4

r=4

The value of r for equation 4(r+2)-13=11 is 4.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

4(r+2)-13=11,

Add 13 in both the sides,

4(r+2)-13+13=11+13,

4(r+2) + 0 = 24

4(r+2) = 24

Divide by 4 both sides,

r+2 = 6

r= 4


The value of r is 4.

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the basketball team scored 38 points and 30 minutes at that rate how many points are they likely to score in an hour

Answers

Answer: 76 points.

Step-by-step explanation: Since the team is making 38 points in 30 minutes, and there are 60 minutes in an hour, all we need to to is double the amount of points made in 30 minutes, (38 x 2), which results in 76 points.

What is the domain of the graph?
a. (-2,-1,0,1,3}
b. -2 C.-3 d. (-3,-2, -1, 1, 3, 5)

Answers

Answer:

d is correct

Step-by-step explanation:

write the equation of the line with slope =7 and y- intercept= -1​

Answers

Answer:

y = 7x - 1 is the answer to the question

what is the answer for this one 4x + 16 = ?

Answers

Answer:

20x

Step-by-step explanation:

What's the slope? Help plssss

Answers

Answer:

-[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Slope is [tex]\frac{y2-y1}{x2-x1}[/tex] so insert 2 points there and you get -4/3

Please give brainliest.

Answer:

m = [tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

The slope is [tex]-\frac{4}{3}[/tex] because the line goes down from left to right and it goes down 4 units and right 3 units.

What is the unit price for 5.22 for 6

Answers

Answer:

Step-by-step explanation:

5.22/6= 0.87 a piece

Write an integer for situation
5 degrees below 0

Answers

Answer:

-5 degrees

hope this helps

Answer:

-5

Step-by-step explanation:

An integer is a positive or negative number that has no fractions or decimals.

5 degrees above zero is 5 degrees because 0 + 5 = 5

5 degrees below zero is -5 degrees because 0 - 5 = -5

Please help!!! I’m on functions Khan. Will give Brainliest

Answers

It’s 20f-30g I just took that question on a test

f(6) means that you look at x = 6 and notice the y-axis, then you will get the answer.

If you don't know. f(6) = -6 (Look at x = 6 then look at y = -6.)

Also for g(5), same with f(6). Look at x = 5 and notice the y-axis. When x = 5, y = -5.

Now we know that f(6) = -6 and g(5) = -5

Substitute f(6) = -6 and g(5) = -5 for easier look.

[tex]-6-6*(-5) = -6+30 = 24[/tex]

So the answer is 24.

Which equation demonstrates the distributive property?

A) 7(1 + 6) =7(6 + 1)
B) (7 x 1) x 6 = 7 x (1 x 6)
C) (7 x 1) x 6 =7 x (6 x 1)
D) 7(1 + 6) = (7 x 1) + (7 x 6)

Answers

Answer:

D

Step-by-step explanation:

The distributive property takes place when you distribute what is outside of the parentheses into the parentheses, separating out the equation into easier to develop parts. D does this exactly.

Answer is A I hope this help you

The ESRB rating system is a world wide rating system that all countries in the world follow.
Question 5 options:
True
False

Answers

Answer:

False

Step-by-step explanation:

This is because in some countries games aren't even allowed. It's sad. Some don't even allow electronics in the first place.

Have an amazing day, mate!

Answer:

False

Step-by-step explanation:

Some areas of the world ban or cant play video games

need help asap on the problem.

Answers

I’m thinking this might be b but I’m not sure I haven’t done this in awhile

Help I am confused in this help

Answers

Answer would be 4 meters sorry if I’m wrong

Answer:

I helped you with a previous question. So I got your pass.

Step-by-step explanation:

bla bla bla bla

have a great day!

7(x-2)-2(x-3)
Expand and Simplify

Answers

5x-8 is the the answer simplified

Answer:

5x - 8

Step-by-step explanation:

7 (x - 2) - 2 ( x - 3)

7x - 14 - 2 (x - 3)

7x - 14 - 2(x - 3)

7x - 14  - 2x + 6

7x - 14  - 2x + 6

7x - 8  - 2x

7x - 8  - 2x

5x - 8

Find the area of the shape shown below.

Answers

Answer:

32 units²

Step-by-step explanation:

Area of trapezoid = [tex]\frac{b_{1} +b_{2} }{2} h[/tex]

A = [tex]\frac{4+12}{2} 4[/tex] = 32 units²

Answer:

The area of the trapezoid is 32 units squared

Step-by-step explanation:

You can use the formula A = [tex]\frac{a + B}{2} *h[/tex] to find the area of a trapezoid.

In this case a = 4, B = 12, and h = 4.  Plug the numbers into the formula and you will get 32.

What is the slope of the line that passes through the points (13, −8) and (−11, 4)?

Answers

i believe it is 11/2

slope is the rise over the run so you plot the points on a graph and count the spaces between the two going up and then over to the side

going up you’d get 11
going to the right you’d get 2

please help and get 25 points ill give you brainlyest

Answers

yelowwwwww

I BELIVE SO AND ITS NOTTTTTTTTTT 25 POINTTTTTTSSSSSSSSSSSSSSSSSSS

Which number value would complete the table below?
10 points
A)$4
B)$4.25
C)$4.50
D)$5.50

Answers

Answer:

Your answer should be C or D.

Because it looks like it goes up 1.50 each time

Step-by-step explanation:

Answer:

C. $4.50

Step-by-step explanation:

The y section goes up by $1.50

whats 20000/4000000000

Answers

Answer:

20000/400000000 is 0.00005

If you did 400000000 divided by 20000, you would get 20000, but in this case, it is 20000 divided by 400000000

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of the songs that the drummer wrote. They wrote a total of 46 songs. Which system of equation model this situation if the drummer wrote d songs and the guitarist wrote g songs?​

Answers

y = 2x - 8
x + y = 46

Plzzzz help ASAP. What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x+3y=27

Answers

Answer:

   y = 3x + 3

Step-by-step explanation:

x + 3y = 27

     3y = -x + 27

      y = [tex]\frac{-1}{3}x +\frac{27}{3}[/tex]

      y = [tex]\frac{-1}{3}x + 9[/tex]

m₁ = -1/3

the slope of the line perpendicular to x + 3y = 27 is m₂ = -1/m₁

    m₂ = [tex]-1 * \frac{-3}{1}[/tex] = 3 ,  Point (1 , 6)

y - y1 = m (x -x1)

y -6 = 3(x - 1)

y - 6= 3x - 3

    y = 3x - 3 +6

   y = 3x + 3

Answer:

3x-y=27

Step-by-step explanation:

perpendicular is making a 90 degree angle, so it would need to be a slope of 3 if the other is -1/3.

y=9, x=27

3x-y=27 is the polar opposite, and should work, sorry if wrong. hard to do in my head without a graph to help.

Why did Keynes think deficit spending was necessary during periods of recession (such as the Great Depression)?

Answers

Answer:

Keynes argued that inadequate overall demand could lead to prolonged periods of high unemployment. But during a recession, strong forces often dampen demand as spending goes down

Step-by-step explanation:

P(B) = 2/3
PIAN B) = 1/6
What will P(A) have to be for A and B to be independent?

Answers

I don’t know exactly but thx for these points I need them8338

Write 4 3/5 as a decimal number

Answers

Answer:

4.6 is your awnser hope this helps

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