Find the coordinates of the point of intersection of the graphs of lines with y=−2x+7 and y=0.5x−5.5

Answers

Answer 1

the coordinates of the point of intersection of the graphs of lines with

y=−2x+7 and y=0.5x−5.5

to find intersection we solve for x  and y

We replace -2x+7 for y in the second equation

−2x+7 =0.5x−5.5

Subtract 0.5x from both sides

-2.5x + 7 = -5.5

Subtract 7 on both sides

-2.5x = -5.5 - 7

-2.5x = -12.5

divide by -2.5 from both sides

x = 5

Plug in 5 for x in y=−2x+7

y=−2(5)+7

y = -10 + 7

y = -3

The point of intersection is (5,-3)



Related Questions

Last month, one bank customer withdrew $45. Another bank customer deposited $70. Each person’s bank balance at the beginning of last month was $0. Which number sentence correctly compares the absolute values of the changes in their bank balances?

A. |-$45| < |$70|
B. |-$45| > |$70|
C. |$45| = |-$70|
D. |$45| > |-$70|

Answers

The answer is A.

The reasoning behind that answer is as follows: A credit of 45 was taken out of the account, which is subtraction. It is also less than 70.

Answer:

Answer in short- A

Step-by-step explanation:

The customer withdrew $45 dollars that's 45 dollars less than what they had. and they they added 70 more. so the answer is

|-$45| < |$70|

Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?

Answers

What you would have to do for this problem is set up an equation for a year and equal them out. The equation would be 27+6x = 8.25x.

X = each visit to the movie.

Now all you have to do is solve the equation. Subtract 6x from 8.25x, and get 27=2.25x. Then, divide 2.25 from 27, and you would get your answer, which is 12. So, they would both have to see 12 movies to pay the same amount that year.

To check your work to see if you were right, you would plug in 12 as x, because that is the variable that represents the amount of visits to the movie. For Jaycie, the equation would be 27+6.00(12), and you would get 99, so she would pay $99 in total. For Claire, you would just do 8.25(12), which is also 99. That is how you know your answer is right.

Hope I helped, it would be greatly appreciated if you gave me brainliest if you understood what I explained :)

They'll need to see 12 movies together before they pay the same amount.

Let the number of movies be x

Based on the question given, the equation for Jaycie will be:

= 27 + (6 × x)

= 27 + 6x

The equation for Clarie will be:

= 8.25 × x

= 8.25x

Then, the equation to solve the question will be:

27 + 6x = 8.25x

Collect like terms

27 = 8.25x - 6x

2.25x = 27

x = 27/2.25

x = 12

They will see 12 movies together.

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What percent of his overall bill did beau save?
Original Price: $205
Price after discounts: $143.50

Answers

33.3333333333333333333333333333333333333% um, you get the point right? 205-143.50 = 61.50

205/61.50 = 3.333333333333333333333333, or 33.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333%

The answer is 205-143.50 over 205 in fraction ways which equal 61.5 over 205 which equals 0.3= 30%30% is the answer.

Your cousin gave you $9 to buy a present with.

Answers

Answer,

9/3 = 3

3 x 5 = 15

15


Hope this helps :-)

find two consecutive integers whose sum is 93. (Show work)

Answers

You are looking for three consecutive integers whose sum is 93. First, divide 93 by 3 and get 31. Go one above 31 and one below. You get 30, 31 and 32 which sum to 93.

why do some fractions convert to terminating decimals, while others repeat.

Answers

Because they do not have similar multiples with each other so they repeat, while some others do so they are terminating.

hope that helps :)

Write an equation in slope-intercept form of the line shown. (-4,0) and (1,-5)

Answers

The slope intercept form is y = -x - 4

To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-5 - 0)/(1 - -4)

m = -5/5

m = -1

Now we look for the intercept using slope intercept form, our slope and a point.

y = mx + b

0 = -4(-1) + b

0 = 4 + b

-4 = b

Now we can use those two things top model the equation.

y = -x - 4

If the denominators of two fractions are the same, how do you add the fractions?

Answers

When you have the same denominator you can just add the numerators but not the denominator

For example:

[tex] \frac{3}{15} + \frac{5}{15} = \frac{8}{15} [/tex]

Step-by-step explanation: To add like fractions or fractions or fractions that have the same denominator, simply add the numerators and keep the original denominator.

Let's try an example.

[tex]\frac{1}{13}[/tex] + [tex]\frac{5}{13}[/tex] = ?

In this example, if we add the numerators we have 1 + 5 which gives us 6 and we put this over our original denominator which is 13. Therefore, 1/13 + 5/13 .  gives us 6/13 which is in lowest terms.

5. Working with inequalities is similar to working with equations. A solution to a one-variable inequality is a value for the variable that makes the inequality true. The set of all solutions to an inequality is a set of numbers that all make the inequality true. The solution to a one-variable inequality is usually graphed on a number line. Most of the properties of equality can also be used to solve inequalities. The only exception is that when you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign to produce an equivalent inequality.
Solve the inequality.
(a) Solve the inequality: .
(b) The manager at Super Fit is not adding members at the rate he wants so he decides to change his fee structure to see if that helps. His new fee structure reduces the one-time registration fee to $24 and raises the monthly fee to $24 a month. Solve the inequality to determine how many months it will take for a member to be paying more under the new plan than the old plan.

Answers

A

Should there be some inequality to solve for A? I'll assume not unless you post an edit.

B

We have a problem here as well. We don't know what the old fee structure was. Suppose I just use symbols.

Old cost for one time membership = y

Old monthly fee = x

Number of months = m

x < 24; y > 24

old income < new income

y +  xm < 24 + m*24

(y  - 24) < m*(24 - x)

(y - 24)/(24 - x) < m   The monthly fee went up the registration went down. There was no change in sign for division.  M is determined by how big the denominator is on the left. If the change is not much m will take a while to be greater than 1.

Edit

First Equation

5x + 2(x + 2) ≤ - 10       Remove the brackets

5x + 2x + 4 ≤ - 10         Collect the like terms on the left

7x + 4 ≤ - 10                  Subtract 4 from both sides

7x ≤ - 10 - 4

7x ≤ - 14                         Divide by 7

x ≤ - 14/7

x ≤ - 2            The number line would start with a filled in dot on - 2 and go left from there.

Second inequality

24 + 24x ≥ 150 + 10x        Subtract 24 from both sides.

24x ≥ 150 - 24 + 10x         Collect like terms on the right  

24x ≥ 126 + 10 x                Subtract 10x  from both sides

24x - 10x ≥ 126                  Collect like terms on the left  

14x ≥ 126                            Divide by 14

x ≥ 126 / 14

x ≥ 9

Final answer:

For part (a), the solution is x > -10. For part (b), the new plan will always be more expensive than the old plan.

Explanation:

For part (a) of the question, the inequality given is -2x - 5 < 15. To solve this inequality, we can follow the same steps as we would for an equation. First, we isolate the variable by subtracting 5 from both sides, giving us -2x < 20. Then, we divide both sides by -2. However, since we are dividing by a negative number, we must reverse the inequality sign to >. Therefore, the solution is x > -10.

For part (b) of the question, the inequality given is 24x + 24 < 24x + 49. To solve this inequality, we can start by simplifying the inequality by subtracting 24x from both sides, giving us 24 < 49. Since this is a true statement, it means that the inequality is always true and there are no specific values of x that make it false. Therefore, any number of months will result in the new plan being more expensive than the old plan.

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John rents a car for $85 a week plus $0.26 per mile.
How far can he travel on a budget of $215?

Answers

John can drive 500 miles. IF he drives all the miles in one week.
215-85=130. 130^0.26 =500

I need help with this question please.

Problem: A karate team had 6 girls and 9 boys. Then 2 more girls and 3 more boys joined the team. Did the ratio of girls to boys stay the same?Explain.

Answers

The answer would be yes. The way to solve this is by simplifying the first ratio. The first ratio should be girls to boys, which is 6:9. And since ratio can be fractions, 6:9 could be 6/9. Since 6/9 can simplify, you would get 2/3. Now we need to add the 2 girls and 3 boys back into the ratio. The ratio would then look like 8:12. And 8:12 could be 8/12, and 8/12 can be simplify, we get 2/3. So this means that the ratio stayed the same.

The ratio of girls to boys in the karate team remained the same at 2:3, both before and after the new members joined.

Initially, there were 6 girls and 9 boys, creating a ratio of 6 girls to 9 boys, which simplifies to 2:3 when divided by the greatest common divisor, 3. After 2 more girls and 3 more boys joined, the team had 8 girls and 12 boys.

This new ratio also simplifies to 2:3, since both the numerator and denominator can be divided by 4. Therefore, the ratio of girls to boys did not change after the new members joined the team; it remained the same at 2 girls for every 3 boys.

P(4,6); y=-3 perpendicular

Answers

Given line : y =-3

That means it is a horizontal line with the slope equal to zero .

Any line perpendicular to the horizontal line is said to be the vertical line .

And vertical line always looks like the equation x= h where h is the x- coordinate of any point.


Since we are looking for a line through (4,6) so

Required line is :  x = 4

help me having trouble!!!!

Answers

I think that the answer is A, because the length is 8 and the width is 3.

Solve the equation 4c2 + 7c – 5 = 0 using the quadratic formula

Answers

4c2 + 7c – 5 = 0   a=4   b=7   c=-5

x = [-b +-sq root (b^2 -4ac)] / 2a

x = [-7 +-sq root(7^2 -4*4*-5)] / 2*4

x = [-7 +-sq root(49 + 80)] / 8

x = [-7 +-5.5677643628] /8

x1 = 0.544727125

x2 = -2.294727125



Which two square roots are used to estimate ✓47

A. ✓25 and ✓36
B.✓25 and ✓49
c. ✓36 and ✓49
d. ✓49 and ✓64

An estimate for - ✓ 72 is
A.- 8.1
b. - 8.5
c. -9.1
d. -9.5

Jeff is an archetict and is drawing the plan for a room addition for a client. If the shape of the room is a cube, what is the volume in cubic feet if the length is 23 feet?

A.539
b.1024
c.12,167
D.32,768

Answers

C for the first one

√36 and √49

√36 = 6 and √49 = 7

6 < √47 < 7


0.2(6x+1)/3.6 = 0.5x/9 please include work

Answers

0.2(6x+1)/3.6=0.5x/9


We move all terms to the left:


0.2(6x+1)/3.6-(0.5x/9)=0


We add all the numbers together, and all the variables


0.2(6x+1)/3.6-(+0.5x/9)=0


We get rid of parentheses


0.2(6x+1)/3.6-0.5x/9=0


We calculate fractions


There is no solution for this equation

   

What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42 degrees

Answers

Isosceles triangle means both base angles are the same. SO,

42+42= 84

a triangle has 180 degrees. 180-84=96

the vertex angle is 96 degrees

The base angles of an isosceles triangle are equal.

The vertex angle is: 96 degrees

The given parameters are:

[tex]Base = 42[/tex]

So, we have:

[tex]Vertex + Base + Base = 180[/tex] --- sum of angles in a triangle

Substitute known values

[tex]Vertex + 42+42 = 180[/tex]

[tex]Vertex + 84 = 180[/tex]

Collect like terms

[tex]Vertex = -84 + 180[/tex]

[tex]Vertex = 96[/tex]

Hence, the vertex angle is: 96 degrees

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Apples cost $0.89/pound. What is the constant or proportionality (k)

Answers

*(Answer)*= 0.89 is the constant is because no matter what you do you still have to multiply 0.89 to the x values

Please help me! I will mark the correct answer brainliest!

Answers

Answer: The answer is y=-2x+3


Answer:B


Step-by-step explanation:

The step by step solution us given in attachment below.


After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
                    

Answers

Let x be the number of rocks that George have at first.

First, George have x rocks. Then, he gets 5 new rocks. So, we have:
[tex]x + 5[/tex]
Next, half of his rock collection is given to Susan.
[tex] \frac{x + 5}{2} [/tex]

Susan got 36 rocks, so the equation is
[tex] \frac{x + 5}{2} = 36[/tex]

Answer:

C

Step-by-step explanation:

Number 16??? Plz help

Answers

Jamahl number is greater

2

3

-3

-6

Please help

Answers

Find x-intercept and y-intercept

x-intercept = 3 → (3, 0)

y-intercept = -6 → (0, -6)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\dfrac{-6-0}{0-3}=\dfrac{-6}{-3}=2[/tex]

Answer: 2

How can you tell from the graph of Molly's garden on the previous slide that it represents a proportional relationship?

Answers

Answer:

A proportional relationship is a relation of the form:

Y = A*X

This means that if we have two variables, X and Y, for each unit that X grows, Y grows A times that.

And notice that the relation:

Y/A = X

is also a porportional relationship

This relationship can be expresed in a graph as a straight line that pases through the origin and has a constant unit of growht (in this case A) that is also called the "slope" of the line.

The graph of a proportional relationship has the same unit rate, is a straight line, and starts at the origin.

How to write a comparison sentence 5*9= 45

Answers

I think a comparison sentence could be 45 is 5 times as many as 9.

A computer sales associate makes $110 each day that she works and makes approximately $19 in commission for each computer that she sells. If she wants to make at least $338 in one day, at least how many computers does she need to sell?A computer sales associate makes $110 each day that she works and makes approximately $19 in commission for each computer that she sells. If she wants to make at least $338 in one day, at least how many computers does she need to sell?

Answers

Find out what number $350 is 8% of, since he makes 8% commission on sales.  In the percent formula:  a = pb

a is the part, p is the percent (as a decimal), b is the base  

350 is 8% of what number?  350 = 0.08b {substituted given values into percent formula and changed 8% to a decimal}

b = $4,375 {divided each side by 0.08}  

He needs to make at least $4375 worth of sales.


Let's do this step by step.
First you have to write the problem.
[tex]110 + 19h \geqslant 338[/tex]
h=number of hours worked.

Now, subtract 110 from each side.
Your left with,
[tex]19h \geqslant 228[/tex]
Now you will divide each side by 19 but when dividing 19h you will leave the h.
Your left with
[tex]h \geqslant 12[/tex]
And this will be your answer.
[tex]h \geqslant 12 \\ she \: will\: have \: to \: sell \: at \: least \: 12 \: computers \: to \: make \: atleast \: 338[/tex]

Multiplication using the distributive property practice Hannah homework lesson 25 chapter tonight P 91 question number two in the back

Answers

Solve out the actual multiplication problem: 18 x 5 = 90

So you can see that the final answer is 9 tens.

hope that helps :)

ABCD is a rectangle. Which of the following pairs of angles are complementery?

Answers

Complementary angles equal 90 degrees.

Since each corner of the rectangle equals 90 degrees, the answer needs the same letter in the middle of each angle.


The correct answer is D, because the letter A is the middle letter of each angle.

62 is divisible by which of the following numbers
A. 1, 3, 31, 62
B. 1, 2, 3, 31
C. 1, 4, 16, 62
D. 1, 2, 31, 62

PLEASE HELP! :D

Answers

Answer:

D.

Step-by-step explanation:

There are 62 divisible by the numbers 1, 2, 31, and 62 which is the correct answer that would be an option (D).

What is the divisibility rule?

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

For example, the sum of the digits should be divisible by 3

⇒ 474 : (4+7+4=15, and 15÷3 = 5)

This number is divisible by 3

To determine whether 62 is divisible by which of the following numbers

A. 1, 3, 31, 62

Here 62 is not divisible by 3

B. 1, 2, 3, 31

Here 62 is not divisible by 3

C. 1, 4, 16, 62

Here 62 is not divisible by 4 and 16

D. 1, 2, 31, 62

Here 62 is divisible by 1, 2, 31, and 62

Therefore, the correct answer would be an option (D).

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6/8n=18
Answer this because I'm having trouble

Answers

the ansewer is n = 14

I think this is the right answer is not 14 because

6×14=84

so 84/8 is 10.5 which is not equal to 18


Help please !!! Oh


Select all the equations where m= 4 is a solution


Choose 3 answers:

A) 13 = 9 + m

B)7- m = 3

C) 15 = 11m

D) 5 = m + 2

E) 20 divide m =5

Answers

Answer:

A, B, E

Step-by-step explanation:

A) 13=9+m

m= 13-9

m=4 ✔️

B) 7-m =3

m= 7-3

m=4 ✔️

C) 15= 11m

15=11*4

15≠44

D) 5= m+2

If m=4 therefore

5≠4+2

5≠6

E) 20 divide m = 5

20/4 = 5

therefore, m=4 ✔️

Final answer:

By substituting m=4 into each equation, we find that options A) 13 = 9 + m and E) 20 divided by m = 5 are the correct equations where m=4 is a solution.

Explanation:

In mathematics, specifically algebra, we can solve and check equations by plugging in values. You are asked to find the equations where m = 4 is a solution.

Let's substitute m with 4 in each equation:

A) 13 = 9 + m becomes 13 = 9 + 4. Hence, 13 = 13 which is true. B) 7- m = 3 becomes 7 - 4 = 3 so it is incorrect because 3 is not equal to 7 - 4. C) 15 = 11m becomes 15 = 44 which is incorrect. D) 5 = m + 2 becomes 5 = 4 + 2 which is incorrect because 5 is not equal to 6. E) 20 divided by m = 5 becomes 20 divided by 4 equal to 5. So, 5 = 5 is correct.

Therefore, the equations where m=4 is a solution are A) 13 = 9 + m and E) 20 divided by m = 5.

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