write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.​

Answers

Answer 1

Answer:

y = 4x + 3

Step-by-step explanation:

To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.

When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.

So far, the equation is y = 4x + b.

Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.

This would be:

-5 = 4 * -2 + b

-5 = -8 + b

3 = b

This means the equation is y = 4x + 3.


Related Questions

Let f(x) be defined on the positive real numbers as follows:

Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.

Required:
Write a formula for f(x).

Answers

Answer:

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Step-by-step explanation:

We have to find the formula for f(x)

Let x be the number

According to question

Now,

[tex]\sqrt{x}+x+3[/tex]

Now,

After squaring  we get

[tex](\sqrt{x}+x+3})^2[/tex]

Add x+2 to above result then, we get

[tex](\sqrt{x}+x+3})^2+2+x[/tex]

Then,

[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Therefore, the formula for f(x) is given by

[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]

Need help don’t know what to do I’m confused

Answers

Im pretty sure it’s D. Y= 0.5x + 3 :)

(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D

Answers

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ


Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)

Answers

Answer:

need a picture hdhxhxhxhx

1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?​

Answers

Minutes - 15/4
or
Seconds - 15/240

Promise Easy Points
Calculate the average monthly expenses for these individuals?

Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____

Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____

Answers

$420+$350+$432=kelsey's monthly expenses  

$700+$800=Micheal's Monthly expenses

Michael's average monthly expenses are $750.

What is the average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Kelsey spent $350 in May, $432 in June and $420 in July.

Now, average monthly expenses are

(350+432+420)/3

= 1202/3

= 400.67

Michael spent $700 in April and May and $800 in June and July.

Here, (700×2+800×2)/4

= (1400+1600)/4

= 3000/4

= $750

Therefore, Michael's average monthly expenses are $750.

To learn more about an average visit:

https://brainly.com/question/11195029.

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This equation shows how the cost of a cab ride depends on the distance in miles. C = d + 2 The variable d represents the number of miles driven, and the variable c represents the cost in dollars. How long is a cab ride that costs $7?​

Answers

I think it is 5 miles since 5+2=$7

Sara had $108 to spend on 8 books. After buying them she had $12 left. Let b represent the cost of each book. Which equation represents this situation?

Answers

Answer:

12

Step-by-step explanation:

you take 108-12=96

then you take 96/8=12

The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?

Answers

Answer:

Smaller

Step-by-step explanation:

Example: say the original size is 100

increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120

reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is  96.

100>96

Find the length of the line segment formed by the points (2, 3) and (2, 5)

Answers

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0​

Answers

The Vertex is (-2,1)

And the focus is  (-2,3)

what is the slope intercept form of 7x-5y=15?​

Answers

Answer:

y=7/5x-3 is the slope intercept form

Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)

Answers

Since they share 5:3:4 ratio of the money, and receive $84, then they will each get $29.7.

You take $84, then multiply it by the square of 2, and then you divide it by 4.25 8ths, and then you take 8ths, and subtract it by 7.284, and you will get $29.7. Your welcome :)

Which are equations? Check all that apply.

Answers

Answer:

numbers 1,4,6,7 are all equations

Step-by-step explanation:

just look for the equal sign if there's no equal sign then its an expression not an equation

Answer:

All of the equations are the ones with the equal signs (=)

I hope this helps!

What is the value of x in the equation 1/5x - 2/3y = 30, when y = 15?

Answers

Answer:

x = (-150)/49

Step-by-step explanation:

Solve for x:

49 x + 150 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 150 from both sides:

49 x + (150 - 150) = -150

Hint: | Look for the difference of two identical terms.

150 - 150 = 0:

49 x = -150

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 49 x = -150 by 49:

(49 x)/49 = (-150)/49

Hint: | Any nonzero number divided by itself is one.

49/49 = 1:

Answer: x = (-150)/49

my friend needs help with this can someone help

Answers

Answer:Sorry

Step-by-step explanation:

Hi would help but i dont know and im not in collage sorry.

What is the constant of proportionality of y=9x so what does k=

Answers

Its k = 34 if u move the constant

Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.

Answers

Answer:

Kiara is correct

.............

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the figure

Slope between A and B = rise/ run 3/3 = 1

and, slope between B and C = 5/5 = 1

So, the slope between A and B is same as the slope between B and C.

Hence, Kiara has correct statement.

Learn more about slope here:

https://brainly.com/question/3605446

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What is the simplified form of (-3xy)(5xy-1)?

Answers

Answer:

-15x²y²+3xy

Step-by-step explanation:

((−3x)(y))(5xy−1)

=((−3x)(y))(5xy+−1)

=((−3x)(y))(5xy)+((−3x)(y))(−1)

=−15x²y²+3xy

1.488 divided by 2.1 rounded to nearest tenth

Answers

The answer should be 0.70

I need help please.

Answers

Answer:

D 18 percent

Step-by-step explanation:

So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred

the equation should be 18 is what percent of 100 which is the same thing as 18/100

18 divided by 100 is .18

Why is 16 the answer to 10. x / 2 - 5 = 3? I need an answer today.

Answers

Hi there!

[tex]\large\boxed{x = 16}[/tex]

x / 2 - 5 = 3

Begin by adding 5 to both sides to isolate for x:

x / 2 - 5 + 5 = 3 + 5

x / 2 = 8

Multiply both sides by 2 to have "x" alone on the left-hand side:

(x / 2) × 2 = 8 × 2

x = 16

Answer:

because if x is 16

16/2 = 8 and so on 8 - 5= 3 so that is the answer

Step-by-step explanation:

Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.​

Answers

Given:

The graph of a function.

To find:

The range of the function.

Solution:

Range is the set of y-values or output values.

From the given graph it is clear that,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

And the value function can be any real number. So,

Range = [tex]-\infty<y<\infty[/tex]

Range = [tex](-\infty, \infty)[/tex]

Range = y is all real numbers.​

Therefore, the correct option is D.

Answer:

D. y is all real numbers.​

Step-by-step explanation:

Range is the set of y-values or output values.

From the given graph it is clear that,

And the value function can be any real number. So,

Range =

Range =

Range = y is all real numbers.​

Therefore, the correct option is D.

A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answers

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

Select all that are equivalent to sin H.


1. cos H

2. cos Y

3. sin Y

4. sin W

5. tan W

6. cos(90-H)

7. sin(90-H)

Answers

Answer:

i believe 1-3-5

Step-by-step explanation:

Answer: the 2nd and 6th

Step-by-step explanation:

i did the test thing

If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?

Answers

Answer:

y=20x+10

Step-by-step explanation:

You start with $10, so this will be added on, and is not affected by the number of months.

You add $20 each month, so the 20 is dependant on x.

ANSWER: y=20x+10

what is the equation for the line shown? picture attached. ​

Answers

the first one

slope is rise/run so from (2,-1) to (0,2) you go up 3 and over 2

so it’s (3/2)x

and the line is going down when looking at it from left to right so we know it’s negative

then the other number is where the line crosses the y axis, which is positive 2

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?

a.(2 × 25) + 105

b.(105 x 2) + (25 x 2)

c.2 x (25 + 105)

d.2 x 25 × 105

Answers

Answer:

a.(2 × 25) + 105

Step-by-step explanation:

Let the number of hours spent repairing the bike = x

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.

Therefore, our algebraic expression

= $25× x + $105

= 25x + 105

We were told in the question that He spent 2 hours repairing her bike.

Hence:

25 × 2 + 105

Therefore, the correct option is option a

a.(2 × 25) + 105

Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?


Group of answer choices


4/8


0


6/8


6/16

Answers

Answer:
4/8



Good luck

What is the approximate distance from one corner of the soccer field to the opposite corner?
60
yards
9.6
100 yards

Answers

The answer is 160 because you add the two together

Answer:

I think Your best answer would be 117 yards.

Step-by-step explanation:

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