Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be? A) 0.96 inches BY) 9.6 inches X) 16 inches D) 48 inches

The function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56

If a quadratic equation is written in the form

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

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

Since it is specified that the options are in vertex form, so let we convert the given equation to vertex form.

The specified equation is: [tex]f(x) = x^2 + 8 - 16x[/tex]

Converting to vertex form:

[tex]f(x) = x^2 + 8 - 16x\\\\f(x) = x^2 -16x + 8\\[/tex]

(let we make terms such that it becomes (a+b)^2 's formula).

[tex]f(x) = x^2 -16x + 8\\f(x) = x^2 -2\times8x + (-8)^2 -(-8)^2 + 8\\f(x) = (x-8)^2 -64 + 8\\f(x) = (x-8)^2 -56[/tex]

Thus, the function in vertex form that is equivalent to the equation f(x) = x^2 + 8 - 16x from the given options is given by: Option A: f(x) = (x-8)^2 -56

Learn more about vertex form of a quadratic equation here:

https://brainly.com/question/9912128

Answer:

A

Step-by-step explanation:

Answer:

Right square pyramid

Step-by-step explanation:

A=a2+2aa2

4+h2

Answer:

225 books

Step-by-step explanation:

you do 15 x 8 and you get 120 then you do 15 x 7 and you get 105 then you add 120 and 105 together and your final answer is 225 books

Answer:

ANswer: 225

Step-by-step explanation:

multiply: 15 x 7 = 105 & 15 x 8 = 120

now add " 105 + 120" together

Total: (See answer above)

Answer:

Diagonal : 10.2

Longer side: 6

Shorter side: 4

Step-by-step explanation:

Answer:

The Answers are 10.6 for the first one 6 for the second one and 4 for the third one

Step-by-step explanation:

Hope this helps sry if I'm wrong

I also needed the points :)

Answer:

Step-by-step explanation:

According to given details the triangles ADB and BCE are congruent as per HL congruence

Lets verify the choices

∠DAB ≅ ∠CBA,

AE ≅ BE,

AC ≅ BD,

AD ≅ AE,

∠EAB ≅ ∠EBA,

Answer:

D) AD ≅ AE

Step-by-step explanation:

Hook me up with a 5 star and a Thanks :)

Step-by-step explanation:

Your graph will have a vertical asymptote at x = 1, as the denominator x - 1 cannot equal zero. Therefore, f(1) is not posssible. Then, plugging in test values for the function on the left side of the asymptote...

[tex]f(-1) = \frac{2(-1)-1}{-1-1} = \frac{3}{2}\\f(0) = \frac{2(0)-1}{0-1} = 1\\f(2) = \frac{2(2)-1}{2-1} = 3\\f(3) = \frac{2(3)-1}{3-1} = \frac{5}{2}[/tex]

... you will find that your graph needs to include the following points:

[tex](-1, \frac{3}{2})\\(0, 1)\\(2, 3)\\(3, \frac{5}{2})[/tex]

So therefore, your graph must cross through the above points, and may never cross the vertical line x = 1.

Answer:

I hope I answered your question!

Step-by-step explanation:

6.80+0.90x=7.30+0.65x (multiply by 100 on both sides)

680+90x=730+65x

50=25x

x=2

Therefore you need to add 2 toppings to each pizza to make them cost the same.

Answer:

[tex]y = \frac{1}{2} x + 30[/tex]

Step-by-step explanation:

y = mx + b

y is his height during that year

x is the number of months

m is the slope or rate of change, which is 1/2 inch every month

b is the y-intercept, which is 30 inches

plug everything in then you get:

y = 1/2x + 30

Answer:

y = 1/2 x + 30

Step-by-step explanation:

I took the quiz! :)

The minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).

We have given inequality is

–3(6 – 2x) ≥ 4x + 12

The statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

[tex]-3(6 - 2x) \geq 4x + 12\\-18 + 6x \geq 4x + 12\\6x - 4x \geq 12 + 18\\2x \geq 30\\x \geq 15[/tex]

This means that the minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).

To learn more about the inequality visit:

https://brainly.com/question/24372553

Answer:

3 (4+13)

Step-by-step explanation:

The GCF of 12 and 39 in 3 so then you divide 12 and 39 by 3.

Answer: 6 weeks

Step-by-step explanation: 42 days in weeks would be 6 weeks

Answer:

7 hrs 42 mins

SAnswer: 7 hrs 42 mins

Step-by-step explanation:

San Antonio to Houston 3 1/3

Houston to Dallas 4 1/12

3 1/3 + 4 1/12=10/3+48/12=89/12=75/12

7 5/12= 7.4166667

= 7hrs and 42 minstep-by-step explanation:

888 + 88 + 8 + 8 + 8 = 1000

have a nice day!

888 + 88 + 8 + 8 + 8 = 1000

hope this helps....

Answer:

C

Step-by-step explanation:

The avg is about 3.6

Answer:

840in^3

Step-by-step explanation:

0.5 * b * h * length=voulme

Answer:

hope this helps

Step-by-step explanation:

3x^2+ 14 x+14= 0

-3.22 , -1.45

Answer: So Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1.

Answer:

H = 5.0

Step-by-step explanation:

Using the formula

[tex]V=\pi r^{2} h[/tex]

Solving for h

[tex]h =\frac{V}{\pi r^{2} } =\frac{250}{\pi *4^{2} }\neq 4.97359[/tex]

Round to the nearest tenth

[tex]5.0[/tex]

40 cm.

[tex]Because=(long+width)\times 2=perimeter[/tex]

[tex]50:the\ perimeter=20\times 2=40\ cm[/tex]

I hope this helps you

:)

Answer:

Calculate the x distance from A to B and the x distance from A to X and verify that the x distance from A to X is 1/3 of the x distance from A to B.

Calculate the y distance from A to B and the y distance from A to X and verify that the y distance from A to X is 1/3 of the y distance from A to B.

Step-by-step explanation:

Answer:

-2, -1, or 0

Step-by-step explanation:

Since we are finding the value of n we have to look at what it cant equal. Since n is not equal to -3 or 1 and is inbetween those values n has to be between -3 and 1, this leaves us with -2, -1, and 0 as possible values. Hope this helped!

Answer:

partA option B is the correct answer

partB option A is the correct answer

Answer:

  3,150

Step-by-step explanation:

The amount of interest earned by the account is found using the interest formula:

  I = Prt . . . . where P is the principal invested at rate r for t years

__

Using the given values, we find the interest to be ...

  I = 15,000×0.07×3 = 3,150

Mrs Davis earns 3,150 on her investment.

Answer:

[tex]k = \frac{4}{5} [/tex]

Step-by-step explanation:

We know from the graph

[tex]g(x) = - \frac{1}{5} [/tex]

and

[tex]f(x) = 1[/tex]

using the given equation we can solve

[tex] - \frac{1}{5} = k - 1 \\ [/tex]

subtract 1 from both sides so that k is isolated

[tex] \frac{4}{5} = k[/tex]

Answer:

Step-by-step explanation:

(a)

Data Set 1

Data Set 2

Comparison

Step-by-step explanation:

Graph to move right

As we can see mad is same (10)

So if we turn mean to right it gets bigger.

Option A is correct

Answer:

A. 10

B. 17

C. 29

D. 80

E. 300

Step-by-step explanation:

A.

x + y

7 + 3

10

B.

x + x + y

7 + 7 + 3

14 + 3

17

C.

2x + 5y

2(7) + 5(3)

14 + 15

29

D.

8(x + y)
8(7 + 3)

8(10)

80

E.

15(2x + y + y)

15(2(7) + 3 + 3)

15(14 + 3 + 3)

15(17 + 3)

15(20)

300

Answer:

true

Step-by-step explanation:

-6 to 0 is 6 "steps" on the number line add the one and that is 7

Answer:

route c on the way there

route b on thw way back

Step-by-step explanation:

route c is the 2nd shortest distance because you cant take b in the morning

the park is open in the afternoon and its the shortest availiable route back