MATHEMATICS HIGH SCHOOL

Functions f(x) and g(x) are shown below.f(x) = x^2
g(x) = x^2 8x 16
In which direction and by how many units should f(x) be shifted to obtain g(x)?

Answers

Answer 1
Answer: We can factor g(x) as (x+4)^2.  Clearly, g(x) is simply f(x+4), so f(x) should increase each x by 4 to achieve the same result as g(x).  Therefore, f(x) should be shifted 4 units in the positive-x (or right) direction.

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A ball is thrown straight up from the top of a 40 feet tall building with an initial speed of 24 feet per second. The height of the ball as a function of time can be modeled by what function h(t) = _________________ 1. after how many seconds the ball hit the ground. 2.What is the maximum height of the ball? 3.How long did it take for the ball to reach its maximum height?
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Adam wants to buy a video game system that costs $100.00. He has $28.35 in one piggy bank and $31.90 in another piggy bank. How much more money does Adam need before he can buy the video game system? How can estimation be used to make sure the answer is reasonable? A. Answer: Adam needs $160.25 more. Estimation: $28 + $32 = $60. $100 + $60 = $160. Adam needs about $160 more to buy his video game system. B. Answer: Adam needs $39.75 more. Estimation: $28 + $32 = $60. $100 – $60 = $40. Adam needs about $40 more to buy his video game system. C. Answer: Adam needs $30.13 more. Estimation: $28 + $32 = $60. $60 ÷ 2 = $30. Adam needs about $30 more to buy his video game system.

Find the area of the given circle. Round to the nearest tenth.11.0 ft^2
38.5 ft^2
42.8 ft^2
113.0 ft^2

Answers

diameter=12\ ft\n\ndiameter=2\ radius\n\n2r=12\ ft.\ \ \ /:2\nr=6\ ft.\n\nA=\pi r^2\n\nA=\pi\cdot6^2=36\pi\ (ft^2)\approx36\cdot3.14=113.04\ (ft^2)\approx113.0\ (ft^2)

Fast Freddie is a widget assembler. He is paid $3.27 for every widget he assembles. What is Freddie's total pay for a week in which he completes 209 widgets?

Answers

Answer:

$683.43.

Step-by-step explanation:

We have been given that Fast Fast Freddie is a widget assembler. He is paid $3.27 for every widget he assembles.

To find Freddie's total pay we need to multiply the total number of widgets assembled in the week by the amount paid to Freddie for each widget he assembles.

\text{Freddie's total pay for the week}=\$3.27* 209

\text{Freddie's total pay for the week}=\$683.43

Therefore, Freddie's total pay for the week is $683.43.
if he is paid 3.27 for every widget assembled...and he assembles 209...then his total pay for the week is : 3.27 * 209 = $ 683.43 <==

Write an equation for a polynomial function that has zeros of {3,2}

Answers

Answer:

  • f(x) = x² - 5x + 6

Step-by-step explanation:

There are two roots:

  • x = 3 and x = 2

The function is:

  • f(x) = (x - 3)(x - 2)
  •      = x² - 5x + 6

All exponential functions show growth over time. T or F

Answers

false, ther is decay functions example

f(x)=200+(1/3)^x

A handyman company serves customers from two cities 50 miles apart, Jonesville and Bellevue. The company would like to position a new of

Answers

Answer: 25

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when i was 2 years old my sister was half in my age now i am 100 years old then how old is my sister?

Answers

When I was 2 years old, my sister was 1/2 my age ==> she was 1 ==> she will
always be 1 year younger than I am, and she will never be able to catch up to me.

Now I am 100, so my sister must be 99 .
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