In the diagram, what is AC?
A. 6
B. 12.33
C. 10
D. 12

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: 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:

-13

Step-by-step explanation:

-5 + 2( 8 - 12 )

Distribute;

-5 + 2 ( 8 - 12 )

-5 + 16 - 24

Simplify;

-5 + 16 - 24

11 - 24

-13

Answer:

-13

Step-by-step explanation:

Follow the Order of Operations:

1. Parentheses

2. Exponents

3. Multiplication and Division

4. Addition and Subtraction

Parentheses:

-5+2(-4)

Exponents:

There is no exponents so we can skip that step

Multiplication and Division:

-5-8

Addition and Subtraction:

-13

Hope this helps! Have a safe and wonderful Thanksgiving!

9514 1404 393

Answer:

Step-by-step explanation:

To find a, b, c, compare the given function to ...

  f(x) = ax² +bx +c

You will see that ...

The y-intercept is the function value for x=0. It is the constant term:

  y-intercept = f(0) = -24

Use the above values of a, b to find the line of symmetry.

  [tex]x = \dfrac{-b}{2a}=\dfrac{-8}{2\cdot\dfrac{-2}{3}}=8\cdot\dfrac{3}{4}=6[/tex]

Per the calculation, the line of symmetry is ...

  x = 6

The negative leading coefficient tells you the parabola opens DOWN.

Because it opens down, the vertex at (6, 0) is a Maximum.

As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.

The range is all values below the vertex (including the vertex), so is ...

  x ≤ 0

Answer:

d

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

The school purchased 4 soccer balls.

Step-by-step explanation:

Total cost of basketball and soccer ball = $248

We are given: The number of basketballs purchased was 6 less than 3 times the number of soccer balls purchased.

We can write it as

x = Soccer Balls

3x-6 = Basketballs

Cost of each Soccer Ball = $20

Cost of each Basketball = $28

The equation will become

[tex]20(x)+28(3x-6)=248[/tex]

Solving the equation to find x

[tex]20(x)+28(3x-6)=248\\20x+84x-168=248\\104x=248+168\\104x=416\\x=\frac{416}{104} \\x=4[/tex]

So, Soccer balls x = 4

Basketballs = 3x-6 = 3(4)-6 = 12-6 = 6

So, the school purchased 4 soccer balls.

Answer:

Graph is in the picture below

Step-by-step explanation:

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:

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

Step-by-step explanation:

Answer:

The answer is D. all real numbers

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

Answer:

$50 a month for 4 months until the camera is paid off.

Step-by-step explanation:

375- 175

200

200/4 = 50

$50 each moth

Answer:

I think that the answer is AB+BC=AC

$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:

The solution is (5 , 1)

Step-by-step explanation:

Answer:

x−y=12  

Step-by-step explanation:

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:

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:

Step-by-step explanation:

Given function

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

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: -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.

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:

I think is "Became 3 times as large"

Step-by-step explanation:

Answer:

11 17/21

Step-by-step explanation:

Answer:

HK = 16

Step-by-step explanation:

12^2+x^2=20^2

x = HK

Answer:

a.)leroi he has 100  B.) she will have more money in the long run

Step-by-step explanation:

did this lesson before

Answer:

10% of 100 is 10$. Leroi also puts in 10$. So, they put in the same amount.

A and B: It will be equal.

Answer:

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

7. 3/1,  8. -2/1 9. 6/1

Step-by-step explanation: