A sculptor creates an arch in the shape of a parabola. When sketched onto a coordinate grid, the function f(x) = –2(x)(x – 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x. What is the height of the arch, measured 3 inches from the left side of the arch?

Answers

Answer 1

Answer:

30 inches

Step-by-step explanation:

f(x) = –2(x)(x – 8)

x = 3

f(3) = -2(3)(3 - 8)

f(3) = -2(3)(-5)

f(3) = 30

30 inches

Answer 2

Answer:

30 inches

Step-by-step explanation:


Related Questions

what percent of 80 is 42

Answers

Answer:

52.5 percent of 80 is 42.

Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP ​

Answers

Answer: b

Step-by-step explanation:

becuz now brainliest

The transformation of a function may involve any change. The correct option is A.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,

h(x) = f(x) + 1

The function is shifted up by 1 unit.

Hence, the transformation of the function is correctly described in the first option.

Learn more about Transforming functions:

https://brainly.com/question/17006186

#SPJ5

Which of the following is acceptable justifications to use in geometry when justifying statements about segments and
angles?
A Theorems, Defintions, Postulates, Conjectures
B. Patterns, Defintions, Conjectures, Assumptions
C. Theorems, Defintions, Assumptions, Properties
D. Theorems, Defintions, Postulates, Properties
Please select the best answer from the choices provided
ОВ
оооо
ОС

Answers

The answer is a I think

Answer:

D.

Theorems, Defintions, Postulates, Properties

Step-by-step explanation:

A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.

Answers

Answer:

C. 24%

Step-by-step explanation:

hope it works

Answer:

39%

Step-by-step explanation:

What is the measure of Rsl?

Answers

Answer:

x = 13

Step-by-step explanation:

[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]

factorise the following expressions;
1. 8x + 6 2. 4x + 2

Answers

Answer:

Step-by-step explanation:

1. 8x + 6

2(4x+3)

2.4x+2

2(2x +1)

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

1. [tex]\boxed{Factorise \ = \ 8x + 6}[/tex]

To factorise this, you have to take the common factor out. In this case, it's 2.

[tex]8x + 6 \\ = 2(4x + 3)[/tex]

[tex]\boxed{Answer \ = \ 2(4x + 3)}[/tex]

2) [tex]\boxed{Factorise \ = \ 4x + 2}[/tex]

To factorise this, you have to take the common factor out. In this case also, it's 2.

[tex]4x + 2 \\ = 2(2x + 1)[/tex]

[tex]\boxed{Answer \ = \ 2(2x + 1)}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

ღ [tex]RainbowSalt2^{2}2^{2} [/tex]

Help answer pleaseeeeeee

Answers

Answer:

Your answer is C.

Step-by-step explanation:

I answered it on paper. When it comes to explaining I have to be person to person. But I hope this helps. :)

Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16, ...

Hint: Write a formula to help you. 1st term + common difference(desired term - 1)​

Answers

Answer:

a₁₅ = 71

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 - 1 = 5 , then

a₁₅ = 1 + (14 × 5) = 1 + 70 = 71

Step-by-step explanation:

hear is your answer in attachment

Find the area of an equilateral triangle (regular 3 Gon) with the given measurement 9 in perimeter a=SQ.in

Answers

Answer:

3.897 [tex]in^{2}[/tex]

Step-by-step explanation:

equilateral triangles are also equiangular, meaning the have equal angles.

Triangle sum theory says that angles of a triangle add up to 180.

That means each angle is 60.

A = bh/2

You need the (h). The base of is 3.  Perimeter = 9, so each side is 3

Draw a perpendicular line for the height. The line cuts the base in half (1.5)

Using trigonometry you can find the height.

tan 60° = h/1.5

h = height, 1.5 is half of 3, 60° is the base angle.

multiply each side by 1.5

1.5(tan 60°) = h

h=2.598

then substitute h into formula

A= (2.598)(3)

           2

A = 3.897 rounded

HELP FAST LOL HAHAHAH

Answers

Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

Find the range of the given data set. 5/8,3/4,1 1/8,1 1/4

Answers

Range = Difference between the highest & lowest value in a set
3/4 and 1/8
3 x 8 - 1 x 4 = 24 - 4
4 x 8 = 32
24/32
8 goes into each to simplify the fraction
24/8 = 3 & 32/8 = 4
Answer 3/4

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.
What is the measure of angle S?

48o
56o
93o
101o

Answers

Answer:

C) 93o

Step-by-step explanation:

Trust the process

edge 2021

Answer:

Got a 100% on the Unit Test on Edge and 93 is the correct answer like the person above added! :D

What is the length of CD???

Answers

32 is the length of CD

What is the image of (-8,-8) after dilation by a scale factor of {1/4} centered at the origin?

Answers

Answer:

(-2, -2)

Step-by-step explanation:

To scale a factor by 1/4, you just need to divide the numbers by 4, or multiply them by 1/4.

-8/4=-2

Answer:

It would be (-2, -2)

A rectangle has a length of 2x+7 and a width of 3x+8.

Write and simplify an expression for the perimeter of that rectangle

Answers

Answer:

2(2x+7)=4x+14

2(3x+8)=6x+16

4x+14+6x+16

4x+6x+14+16

The answer is:

10x+30

Which graphs present functions?

A. graph B and D
B. graph A only
C. graph D only
D. graph C and graph D​

Answers

The answer is A. Graph B and D
The answer is option C. Graph D only represents a function; it passes the vertical line test, while the 3 other graphs fail the vertical line test.

Find the product mentally.
(r - s)^2

A) r^2 - 2 rs + s^2
B) r^2 - rs + s^2
C) 2 r^2 - rs - s^2

Answers

Step-by-step explanation:

A is the answer to the question

A) r^2 - 2rs+s^2

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

Find the value of x
Does anybody know this?

Answers

Answer:

x = 45 °

Step-by-step explanation:

We know that the sum of all angles if right angle triangle is 180 °.

90 ° + x + x = 180°

90 ° + 2 x = 180 ° ...( combine like terms)

2 x = 180 ° - 90 °.. ( subtract 90° from 180° )

2 x = 90°

x = 90° /2 ....( divide by 2 )

x = 45 °

which following algebraic statements are true

Answers

Answer:

All of them are true.

Step-by-step explanation:

x^2 y - z / x^2 is true. x^2, when divided by itself, cancels itself out, so the equation that is left is y - z.

For the second one, a/c + b/c is true because when you add a + b = it will change; it will be added together. the remaining c will stay the same, as it is the denominator/the same, so you keep it as it is.

For the final one, you distribute ^2 to (a+b), so they become a^2 + b^2.

This means that all of the statements are true.

plzz help everything is due tonight! 29 pointssss

Answers

Answer:

Step-by-step explanation:

given=  -3(2n-3)=25-8n

distributive property=-6n+9=25-8n

subtraction property= 2n+9=25

division property =2n=16

n=8  

please help!! i will help you back!!

Answers

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

Plug in the values of a = 14, and b = 48

[tex]a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2} \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50[/tex]

i need help please. and explanation will help for tomorrow in a test:)

Answers

Answer : x^7

When you’re multiplying variables like the one in the problem above, instead of actually multiplying, you add. You only multiply in cases where there are coefficients.

Example : z^4 * z^2

Instead of multiplying, you would add the exponents together like so, z^6.

Solve the following system by using substitution.

4x+2y=18
y=x+3

Answers

x=2, y=5 hope it helps

Help Please... 15 points :)

Answers

Answer:

√100 = 10, √36 = 6, √225 = 15

Step-by-step explanation:

100 can be made by 10^2 (10 x 10), 36 has factors of 6 and can be made by 6^2, and 225 can be made by 15^2.

[tex] \sqrt{100} = \sqrt{10 \times 10} [/tex] = [tex]\boxed{10}[/tex]

[tex] \sqrt{36} = \sqrt{6 \times 6} [/tex] = [tex]\boxed{6}[/tex]

[tex] \sqrt{225} = \sqrt{15 \times 15} [/tex] = [tex]\boxed{15}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

dilation of ?? about the origin

Answers

The correct answer is 2

Solve the following for y: 4x + 2y = −2 (5 points)


y = −2x + 1


y = 2x + 1


y = −2x − 1


y = 2x − 1

Answers

Answer:

Step-by-step explanation:

4x + 2y = −2

Divide by two on both sides

2x+y = -1

subtract 2x from both sides

y = -1 -2x = -2x -1

Answer:

y = -2x - 1

Step-by-step explanation:

4x + 2y = -2

→ Minus 4x from both sides

2y = -4x - 2

→ Divide both sides by 2

y = -2x - 1


How much was your loan
through capital One if you
paid $1200 in interest at a
rate of 1.5% for 5 years?

Answers

Answer:

Your loan was for $16,000.  

Step-by-step explanation:

The formula for simple interest is i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

If i = prt, then p = i / (rt)

Here, p = ($1200) / 0.075 = $16,000

Your loan was for $16,000.  

The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?

Answers

To obtain the standard form of the equation of the parabola y=2(x+4)^2-7, first perform the indicated operations:
y = 2[x^2 + 8x + 16 - 7], or
y = 2[x^2 + 8x + 9],
or y = 2x^2 + 16x + 18
None of the given possible answers match. The fourth one, D, is closest to the above result, differing only in the constant term (25 versus 18).

Please help ASAP!!
I'll mark brainliest!

Answers

Answer:

729 x [tex]\frac{1}{3}[/tex]^x

Step-by-step explanation:

the third option

- trial and error

Find the value of x.
X
100°
Y
130°
Z
66°
W


Answers

Answer:

We are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.

One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.

Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.

Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestation.

Experts estimates that we are losing 137 plant, animal and insect species every single day due to rainforest deforestation. That equates to 50,000 species a year. As the rainforest species disappear, so do many possible cures for life-threatening diseases. Currently, 121 prescription drugs sold worldwide come from plant-derived sources. While 25% of Western pharmaceuticals are derived from rainforest ingredients, less that 1% of these tropical trees and plants have been tested by scientists.

Most rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, even by world giants like Mitsubishi Corporation, Georgia Pacific, Texaco and Unocal.

There were an estimated ten million Indians living in the Amazonian Rainforest five centuries ago. Today there are less than 200,000.

InIIIIII AMMMM ABBBOOuUUTT TOO PI$$$$$$ MINE SELLFF Brazil alone, European colonists have destrotheir homelands continue to be destroyed by deforestation, rainforest peoples are also disappearing.

, it is as if a library has burned down.

When a medicine man dies without passing his arts on to the next generation, the tribe and the world loses thousands of years of irreplaceable knowledge about medicinal plants.

Step-by-step explanation:

Other Questions
a minute speech on the topic UAE EXPO 2020 CONNECTING MINDS Based on the following data for the current year, what is the inventory turnover? Sales on account during year $700,000 Cost of merchandise sold during year 270,000 Accounts receivable, beginning of year 45,000 Accounts receivable, end of year 35,000 Inventory, beginning of year 90,000 Inventory, end of year 110,000 a.2.7 b.2.5 c.3.0 d.9.7 What is the length of CD??? Fun factDuring your lifetime, you will produce enough saliva to fill two swimming pools fun fact More human twins are being born now than ever before. ...fun fact A narwhal's tusk reveals its past living conditions. ...fun fact The first person convicted of speeding was going eight mph. ...fun fact "New car smell" is the scent of dozens of chemicals. Read each complex sentence and identify the dependent clause.While Ana finishes her homework, Alex takes out the trash and feeds the cas.Thung the picture on the bedroom wall now that it is framed.Vivian discussed the question with her partner, Marcus, before she answered. Why did Martin Luther King Jr. choose to repeat the phrase "I have a dream"? A. To emphasis hope B. To make his listeners think more about the future C. To make his listeners think carefully about his words D. All of the above Working which of the following countries would not be considered part of East Asia who can tell me what is a noun Answers to question 10 pretext organ system Which are the most likely social effects of this public service announcement? Check all that apply.*People will eat foods even if they are allergic to them*People will buy fewer food items when they are shopping.*People will be informed about what goes into a balanced meal.*People will continue to eat their meals even if theyre full.*People will consider eating more balanced meals. My older sister smokes pot. She's always trying to get me to try it. She tells me there's nothing wrong with it, and you can stop using it anytime you want. What should I say to her? A grocery store chain uses loyalty cards that offer discounts on sale attheir store. The probability that a randomly chosen shopper has a loyaltycard is 0.8. A group of shoppers have been selected at random to completea customer satisfaction survey. Let Xi be a random variable that equals 1 when a customer has a loyalty card and 0 otherwise.Required:a. Construct a joint probability table for the random variables X, and X. b. Define the event that the first four customers sampled have loyalty cards in terms of the random variables X, X2, X3, and Xd. Then compute the probability of this event. The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.What is the standard form of the equation? What type of figurative language is in the following sentence?"I really like this movie; I could watch it a million times!" funny easy biology question below first correct answer gets brainliest can i get help with this please?? i need help rn before it locks Solve the following for y: 4x + 2y = 2 (5 points)y = 2x + 1y = 2x + 1y = 2x 1y = 2x 1 please help!! i will help you back!! There are 27 chocolates in a box, all identically shaped. Theyre 10 are filled with nuts, eat with Carmel, and nine are solid chocolate. You randomly select one piece, eat it, and then select a second piece find the probability of selecting two solid chocolate in a row A glass of milk tips over and the milk spills out into a thin puddle. Why does the milk flow out of the glass instead of staying in its place inside the glass?