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Leno4ka [110]
3 years ago
8

Graph the quadratic function ƒ(x) = 2(x − 3)2 − 2

Mathematics
1 answer:
Dahasolnce [82]3 years ago
6 0

Answer:

 ƒ(x) = (x - 2)^2 + 1

Step-by-step explanation:

To make f(x) be a translation of the graph of g(x) by (h, k), write it as ...

 f(x) = g(x -h) +k

You want to translate g(x) = x^2 by (2, 1), 2 units right and 1 unit up, so the function f(x) is ...

 f(x) = g(x -2) +1

 

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The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times shoul
Savatey [412]

Answer:

20 times

Step-by-step explanation:

Given the following :

Probability of rolling a number less than 3 on a number cube:

Required outcome = (1, 2)

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome / Total possible outcomes

= 2 /6

= 1/3

Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :

(Probability of obtaining a number less than 3 in one roll × number of rolls)

= (1 / 3) × 60

= 60 / 3

= 20 times

5 0
4 years ago
Graph g(x) = x2 +2 Compare the graph to the graph of f(x) = x2.
Olegator [25]

Step-by-step explanation: Remember that the parent graph f(x) = x², is a parabola that opens up and passes through the origin.

Notice that g(x) = x² + 2 has 2 added to the parent term.

This means that g(x) = x² + 2 is the graph of f(x) = x² translated two units up.

5 0
3 years ago
-25 Points-
Nesterboy [21]

Answer:

<h2>823.7 m²</h2>

Step-by-step explanation:

If a figure A and a figure B are similar, then

\dfrac{area_A}{area_B}=k^2    (*)

<em>k</em><em> - similarity scale</em>

<em />

Calculate the similarity scale:

k=\dfrac{6}{5}

We have the surface area of the smaller prism 572 m².

Substitute to the formula (*):

\dfrac{x}{572}=\left(\dfrac{6}{5}\right)^2\\\\\dfrac{x}{572}=\dfrac{36}{25}\qquad\text{cross multiply}\\\\25x=(36)(572)\\\\25x=20,592\qquad\text{divide both sides by 25}\\\\x=823.68\approx823.7\ m^2

7 0
3 years ago
Kiana's soccer team's ratio of wins to losses is 5:3. Her team has played 24 games. How many games have they won?​
Bas_tet [7]

The win-to-loss ratio of 5:3 is a "part-to-part" ratio, so we can represent each part as a fraction of the whole. We can do this by simply adding 3 + 5 = 8 (the "whole") and dividing by that total. This gives us a ratio of Images, which means that the Bombers won Images of their games and lost Images of them. Since they played a total of 120 games, they won Images games and lost Images games.

8 0
3 years ago
Read 2 more answers
What is the distance between the points (2, 1) and (14, 6) on a coordinate<br> plane?
Inga [223]

Answer:

the answer is 13 units

Step-by-step explanation:

4 0
3 years ago
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