Courtney needs to go to the library, the doctor's office, and her friend's house. How many different ways can she make the stops?

Answer:

Step-by-step explanation:

Parabolas can be written in the form

[tex]y = a(x-h)^2+k[/tex]

The vertex is (h, k). The vertex in the graph is (5, 0).

so far, we have

[tex]y = a(x-5)^2+0\\y = a(x-5)^2[/tex]

The other points we are given are (6, 1), (7, 4), (8, 9)

[tex]9 = a(8-5)^2\\9 = a(3)^2\\9 = 9a\\a = 1\\\\4 = a(7-5)^2\\4 = a(2)^2\\4 = 4a\\a = 1\\\\1 = a(6-5)^2\\a = 1[/tex]

In vertex form

[tex]y = (x-5)^2\\y = x^2 - 10x + 25[/tex]

Answer:

sure when i have money

Step-by-step explanation:

i don't have money lol

Answer:

Step-by-step explanation:

Given function

Finding other factors, considering (x - 6) is the factor

Answer:

4.-7/4 . 5. 5/3 6. -4/1

7. 3/1,  8. -2/1 9. 6/1

Step-by-step explanation:

y=-x

slope for perp line = 1

2y=-x+6

y=-1/2x +3

slope for perp line = 2

15.

i don’t wanna do all sorry it’s a lot of work so i’ll tell u how to do it instead. first write it in slope intercept form which is

y-y1=m(x-x1)

it’s parallel which means it shares the same slope. if it’s perpendicular it would be opposite reciprocals so for -3/2 the perp slope would be 2/3.

the line is

y+1=3/4(x-4)

we distribute the 3/4 so it’s now

y+1=3/4x-3

then we subtract the 1

y=3/4x-4 is the equation boom done

Answer:

11 17/21

Step-by-step explanation:

Answer:

I think that the answer is AB+BC=AC

Answer:

Not very good at these but prob 1st and last

Step-by-step explanation:

Answer:

The ratio of the volumes of the similar solids is 1331:343.

Step-by-step explanation:

Ratios

Given the ratio of two lengths is a:b. Given a two-dimensional shape is similar to another shape, the ratio of their areas is [tex](a/b)^2[/tex], and the ratio of their volumes is [tex](a/b)^3[/tex].

We know the ratio of the areas of the bases of two similar rectangular prisms is 121:49. Thus, the ratio of its dimensions is:

[tex](a/b)^2=(121/49)[/tex]

Taking the square root:

[tex]a/b = \sqrt{121/49}=11/7[/tex]

Thus, the ratio of the volumes is:

[tex](a/b)^3=(11/7)^3=1331/343[/tex]

The ratio of the volumes of the similar solids is 1331:343.

Answer:

I think is "Became 3 times as large"

Step-by-step explanation:

Answer:

No there will be 2 left.

Step-by-step explanation:

count backwards from 38 by 4's

Answer:

y = 4x - 5

Step-by-step explanation:

Use the point slope form and add in the ordered pairs [tex]\frac{3 + 1}{2 - 1}[/tex] , and once you solve this it equals [tex]\frac{4}{1}[/tex], or just 4. Now you have the first part of your equation, y = mx + b, but now you have y = 4x + b. To find b, substitute the x and y values of one of the given ordered pairs in for x and y in the equation, and I am using (2,3). The equation now looks like this: 3 = 4(2) + b. Now solve: 3 = 8 + b

Subtract 8 from both sides to get -5 = b. Now you have a full equation: y = 4x -5

Answer:

Jacksons Tip: $2.31

Total: $17.71

Answer:

The solution is (5 , 1)

Step-by-step explanation:

Answer:

x−y=12  

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Given that:

There are 6 boxes of pencils, 14 boxes of pens and 16 boxes of paper.

Total number of original boxes = 6 + 14 + 16 = 36

To find:

Number of additional boxes of paper to be added so that the probability of getting a paper box while selecting a random box becomes exactly [tex]\frac{1}{2}[/tex].

Solution:

First of all, let us have a look at the formula of probability:

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, number of favorable cases will be equal to the number of paper boxes and

Total number of cases will be equal to the total number of boxes available.

Let us first calculate the original probability:

[tex]\frac{16}{36}\neq \frac{1}2[/tex]

If 1 paper box is added, then probability

[tex]\frac{17}{37}\neq \frac{1}2[/tex]

If 2 paper boxes are added, then probability

[tex]\frac{18}{38}\neq \frac{1}2[/tex]

If 3 paper boxes is added, then probability

[tex]\frac{19}{39} \neq \frac{1}2[/tex]

If 4 paper boxes is added, then probability

[tex]\frac{20}{40} = \frac{1}2[/tex]

Therefore, we need to add 4 paper boxes.

The probability of randomly selecting a box of paper from this shipment to be exactly 1/2  need to add 4 boxes.

Given that,

The shipment contains 6 boxes of pencils

And 14 boxes of pens, and 16 boxes of paper.

We have to find,

How many additional boxes of paper must be added to the original 36 boxes in order for the probability of randomly selecting a box of paper from this shipment to be exactly 1/2.

According to the question,

Total no. of original boxes = 6 + 14 + 16 = 36

Formula for probability of an event E can be observed as:

[tex]P(E) = \frac{Number \ of \ favourable \ cases}{Total \ number \ of \ cases }[/tex]

Here, number of favorable cases will be equal to the number of paper boxes,

Total number of cases will be equal to the total number of boxes available.

The probability of randomly selecting a box of paper from this shipment to be exactly 1/2 .

Let us first calculate the original probability:

[tex]\frac{16}{36} \neq \frac{1}{2}[/tex]

The probability of original paper boxes is not  1\2.

If 1 paper box is added, then probability,

[tex]\frac{17}{37} \neq \frac{1}{2}[/tex]

The probability of 1 paper boxes is not 1\2.

If 2 paper box is added, then probability,

[tex]\frac{18}{38} \neq \frac{1}{2}[/tex]

The probability of 2 paper boxes is not 1\2.

If 3 paper boxes are added, then probability,

[tex]\frac{19}{39} \neq \frac{1}{2}[/tex]

The probability of 3 paper boxes is not 1\2.

If 4 paper boxes is added, then probability,

[tex]\frac{20}{40} = \frac{1}{2}[/tex]

The probability of 4 paper boxes is 1\2.

Hence, The probability of randomly selecting a box of paper from this shipment to be exactly 1/2  need to add 4 boxes.

To know more about Probability click the link given below.

https://brainly.com/question/23044118

$14

you need to set up a preportion

if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.

anyways what ya finna do is make a fraction

5                  8

---        =      ----

8.75             x

then u cross multiply. 8 x 8.75 = 70

70 = 5x

x= $14

Answer:

so.

Step-by-step explanation:

Answer: -5/3

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]

You substitute the numbers in and subtract to get -5/3.

Answer: it could be boy girl boy girl, or it can go boys first and girls last, or it can be girls first and boys first, so i would say 3 ways

Step-by-step explanation:

hope this helped

Answer:

d

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

I think it's because it is easier to solve when put into equations.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Alberto is correct in reasoning that all lines and rays are congruent to each other but incorrect in his reasoning about the line segments.

Line segments are equal in measure only when they are equal in length. They can have any orientation on a plane.

Since, AB = 3 units

CD = 4 units

Therefore, AB ≠ CD

Error in AB ≅ CD

Answer:

20%

Step-by-step explanation:

Subtract the selling price from the wholesale price.

86.40-72.00=14.4

Find the percentage of the difference from the wholesale price.

14.4/72.0=0.2

This means 20%.

Answer: 72.5 lbs

Step-by-step explanation:

Create the equation:

145=2x -->where x is how much the baby turtle weighs

Solve the equation:

Divide both sides by 2 to get 72.5 lbs

Answer:

1 inch per hour because it took 12 hours to burn a 12 inch candle so 1 inch per hour

The candle burns at a rate of 1 inch per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A 12-inch candle burns down in 12 hours.

∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,

= (12/12) inch/hr.

= 1 inch/hr,

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

Graph is in the picture below

Step-by-step explanation: