Mathematics High School

7. Cassidy's family is driving home
from vacation at an average speed
of 55 mph. After 2 hours they
are 110 miles from home. What
is an equation in point-slope that
represents their distance from
home, y, after x hours?

Answers

Answer 1

Answer:

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours, is y - 110 = 55(x - 2)

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y_{1}=m(x-x_{1})[/tex] , where

m is the slope of the line (average)

[tex](x_{1},y_{1})[/tex] is a point on the line

→ The family is driving home  from vacation at an average speed

    of 55 miles per hour

∴ m = 55

→ After 2 hours they  are 110 miles from home

∵ x is the number of hours

∵ y is the distance in miles after x hours

∴ [tex]x_{1}[/tex] = 2

∴ [tex]y_{1}[/tex] = 110

→ Substitute these values in the form of the equation above

∴ y - 110 = 55(x - 2)

The equation in a point-slope form that  represents their distance from

home, y miles, after x hours is y - 110 = 55(x - 2)

Related Questions

What is the slope of this line?
A. −5
B. 5
C. −15
D. 15
Picture Down Below

Answers

Answer:

It seems that the slope of this line is 1/5, yet none of the answers correspond to this. Double-check by finding two points on the line, and use the slope formula: (y2-y1/x2-x1). Also, remember that slope is rise/over run. I hope this can guide you!

Answer: the answer is not included in the options

Step-by-step explanation:

The slope of the line can be depicted by the following formulas: 1. Rise/run 2. Y1-y2/ x1-x2

If we were to use the second formula and “plug” in numbers for the variables, the slope we calculate is less than 1

what is 0.6 repeating as a fraction
hlp im dumb

Answers

Answer:

2/3 is equal to .6 repeating

Step-by-step explanation:

also youre not dumb :)

2x squared — 11x + 15
factor as a quadratic equation with an explanation please and thank u. will give brainliest

Answers

Answer:

(2x−5)(x−3)

Step-by-step explanation:

Break the expression into two groups

(2[tex]x^{2}[/tex]-5x) + (-6x+15)

Factor out an x from the first group

x(2x-5)

Factor out -3 from the second group

-3(2x-5)

Factor out the common term and combine

x(2x-5)-3(2x-5)

(2x-5)(x-3)

0.00125mi squared=?ft squared

Answers

Answer:

6.6

Step-by-step explanation:

Multiply the length value by 5280

What is the slope of the line that passes through the points (-3, 1)(−3,1) and (7, -14)(7,−14) in the simplest form?

Answers

Answer:

1

Step-by-step explanation:

x2 minus x1 over y2 minus y1

Answer:

-3/2

Step-by-step explanation:

-15/10 = -3/2 when you simplify

Quadratic function f is shown on the graph.

Function f is symmetrical around the point ___ .
A. (6,0)
B. (0,3)
C. (4,-1)
D. (2,0)

This point is the ___ of function f.
A. minimum
B. maximum

Answers

Answer:

(4,-1) Minimum

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function f is symmetric around the point

(4,-1)

. This point is the

minimum

of function f.

proportions, assist me please! ​

Answers

Step-by-step explanation:

[tex]w = \frac{1}{2} {x}^{2} y \\ (2)w = \frac{1}{2} {x}^{2} y(2) \\ 2w = {x}^{2} y \\ \frac{2w}{ {x}^{2} } = \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y[/tex]

Answer:

[tex]y = \frac{2x}{ {x}^{2} } \\ [/tex]

the table shows the number of eggs,y,in x cartons.How many eggs are there in 15 cartons

Answers

Answer:

180 eggs

Step-by-step explanation:12x15=180

Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix?

Answers

Answer:

$4.80 per lb of trail mix

Step-by-step explanation:

Cranberries- 1lb-$4

Almonds- 4lbs-$20

4+20=24

4+1=5

24/5=4.80

Karen bought cupcakes for her sister's birthday party. 3 cupcakes had sprinkles on top. The other 27 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?

Answers

Answer:

10%

Step-by-step explanation:

so

3 cupcakes had sprinkles

27 didn't have sprinkles

which means that there are a total of 30 cupcakes, (because 3 + 27 is 30)

so then set up a proportion

part/whole = percent/one hundred

substitute in the given values

3 / 30= precent/100

simplify

1/10 = precent/100

you don't have to use cross products here because it is pretty obvious that 10 * 10 = 100 so then just multiply 1/10 by 10 and you get your answer

percent = 10

Slope intercept of (-2,2) (0,-2)

Answers

Answer:

-4/2

Step-by-step explanation:

what is the length,s, of the square?

Answers

Answer: 9

Step-by-step explanation:

9x9=81

Answer:

not a 100% hopefully it right. 20.25m

Step-by-step explanation:

81÷4=20.25

A 5 pound bag of potatoes costs $3.78. How much would a 3 pound bag cost?

Answers

Answer:

About $2.27

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

$2.27

Step-by-step explanation

First, find the unit price

3.78/5=.756

Then find the cost for 3 pound

.756X3=2.268

Round

$2.27 for 3 pounds

Hope this helped :)

x^{2}+x-90
can you answer this please and think you.

Answers

If this is just factoring, x^2 + x - 90 turns into this:
(x - 9)(x + 10)


If your trying to solve for x, we take the factored expression and set it equal to 0.
(x - 9)(x + 10) = 0

Set each binomial into two equations.
x - 9 = 0 and x + 10 = 0

Solve for x and we get two answers.
x = 9
x = -10

Plz help me I had to put it was math Bc there is no science option plz help me thank you.

Answers

Answer:

  see the attached

Step-by-step explanation:

To fill in the data table, you need information about the layers of the Earth. That information is provided in the second attachment.

Among other things, it shows the density of the rock layers varies over a range of almost 6 to 1 from the top layer to the inner core. Your representative liquids vary in density over a range of about 1.8 to 1, so clearly cannot match the relative densities.

In the attached spreadsheet, we have used the average of the top and bottom density values for each layer to represent the density of the layer. Then we did a linear mapping so that the minimum density maps to lamp oil, and the maximum density maps to honey. (You get slightly different results if you use a different mapping strategy.)

For your convenience in stacking your "density cylinder", we have shown the relative thickness of each of the layers as a percentage of the overall radius of the Earth. That is, if your cylinder is 100 mL deep, for example, then the top layer will be 0.5 mL deep, the next layer 11.3 mL deep, and so on.

__

We have elected not to use alcohol for the top layer, because it is miscible with all of the liquids immediately below that in the table. That is, you could not maintain alcohol as a separate layer in your cylinder because it would dissolve into the layer below. It might take a little effort (or care) to keep the lamp oil separated from the vegetable oil, as we expect those might try to mix, as well.

If you compare the scaled density values with the values for the "representative" liquids we have chosen, you will see that some are closer than others. The idea is to try to get the best match, while also choosing liquids that don't mix well.

ANSWER ASAP GIVING 50 PTS (25 each)

Answers

Answer:

The value of k is -2

Step-by-step explanation:

The cut point with the y axis for both graphs occurs when x = 0

We have then:

For f (x):

The cut point with the y axis is:

 

For g (x):

The cut point with the y axis is:

 

Therefore, the value of k is given by the vertical displacement of the graph k units.

We have then:

  From here, let's clear k:

 

Answer:

The value of k is -2

Answer:

-2

Step-by-step explanation:

nice computer btw lol

also it is easier if you just screen shot

help pleasee im not smart
|-13| = ?

Answers

Answer 13

Explanation: Those lines mean absolute value and it's the numbers's distance from 0 so -13 will be 13, all negative numbers turn positive if its in between those numbers and positive numbers do nothing.

WILL MARK BRAINLIEST NEED HELP WITH PROPORTIONS​

Answers

Answer:

x=-10

Step-by-step explanation:

either 5/51 or x=15 :))

What is the sum of all the whole numbers from 1 to 1000?

Answers

Answer:

So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

Step-by-step explanation:

Effect
Cause
If it is raining
then it is spring
A. Construct Arguments
Determine whether each effect is
always true for the given cause,
or is not necessarily true for the
given cause. For the effects that
are not necessarily true, how
could you change them to make
them always true?
If x and y are whole numbers
then their difference x -- y is a
whole number
If water is heated
then it boils.
If a triangle has a right angle
then it is a right triangle
If your favorite color is blue
then you are a good speller.

Answers

I wish I could help but u should try looking videos up on Kahn academy

At a basketball game, for every 2 baskets team A scored, team B scored 3 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is?

Answers

Answer:

2:3 2 to 3 or 2 over 3

Find the constant of proportionality and write an equation for the relationship.​

Answers

Answer:

I have no clue but i have an examm sorry

Step-by-step explanation:

help please ill give u brainiest if it's correct

Answers

Answer:

Supplementary

Step-by-step explanation:

Two step equations x−17/3=−3

Answers

Answer:

[tex]\boxed {x = \frac{8}{3}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x - \frac{17}{3} = -3[/tex]

-Add both sides by [tex]\frac{17}{3}[/tex] and convert [tex]-3[/tex] to a fraction [tex]-\frac{9}{3}[/tex]:

[tex]x - \frac{17}{3} + \frac{17}{3} = -3 + \frac{17}{3}[/tex]

[tex]x = -\frac{9}{3} + \frac{17}{3}[/tex]

-Since both [tex]-\frac{9}{3}[/tex] and [tex]\frac{17}{3}[/tex] have the same denominator, then you would add the numerators:

[tex]x = \frac{-9 + 17}{3}[/tex]

[tex]\boxed {x = \frac{8}{3}}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]\frac{8}{3}[/tex].

if f(1) =160 and f(n+1 )=-2 f(n) what is f(4)

Answers

Move 4 to the left of f :
4f

choose the model that verifies the quotient 1/5 ÷ 5​

Answers

Answer:The answer is B.  Think about it this way, You have five rows, ANd ur trying to divide all five rows into 1/5. So you have to  spilt five rows into five sections.. And color in one row because its one out of 5.. ( hope i helped im bad at explaining but hopefully you get what im trying to say) Can i get brainliest pls?

Solve y/2+22=38 for y

Answers

Answer:

The answer is y = 912.

Step-by-step explanation:

if the area of the rectangle is given by the polynomial 2x-7-15 what is the dimension of the rectangle in terms of x​

Answers

Answer:

2-7x

Step-by-step explanation:

hope i helped gl <3

What is the equation of the line that passes through the point (-2,7) and is perpendicular to the line 2 - 4y = 24?

Answers

Answer:

u usin bodmas ok I hope bodmas help u do we are solve this step by step ok

Day 4:
G.CO.5: Quadrilateral PQRS is shown on the coordinate plane.
Part A:
Quadrilateral PQRS is transformed by
translating it right 6 units and then
rotating it 90° clockwise about the
origin. Graph the image of
quadrilateral PQRS after these two
transformations.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Translation right 6 units adds 6 to every x-coordinate. Rotation 90° CW is the transformation (x, y) ⇒ (y, -x). The sequence of transformations gives ...

  (x, y) ⇒ (y, -x-6)

Then the coordinates of the transformed figure are ...

  P(-3, 7) ⇒ P'(7, -3)

  Q(4, 12) ⇒ Q'(12, -10)

  R(4, -2) ⇒ R'(-2, -10)

  S(-3, -7) ⇒ S'(-7, -3)

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