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blondinia [14]
3 years ago
13

1. IF the function f(x) = 2(x – 3)2 – 4 is shifted vertically three units up and horizontally

Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

Answer:

I believe it is 2(x-5)²−1

Step-by-step explanation:

The parentheses represent the horizontal shift. (X-__) is a shift to the right. (X+__) is a shift to the left. The last number of the function is the vertical shift. A negative number is shifting down and a post number is shifting up.

So, if the graph shifts up three units, then you add 3 + -4 to get -1. And if the graph shifts right 2 units, then you subtract 2 from -3 to get -5.

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The volume of a cylinder is 1,0291 cubic centimeters. The height of the cylinder is 21 centimeters. What is the radius, to the n
boyakko [2]

Answer:

12.49 = r

13 = r to the nearest cm.

Step-by-step explanation:

The formula to calculate the volume is:

V = π*r^2*h

We know that V = 10291 cm^3 and Height (h) = 21cm

V = π*r^2*h

10291 = π*r^2*21

Divide both side by 21

10291/21 = (π*r^2*21)/21

490.05 = π*r^2

Now divide both side by π

490.05/π = (π*r^2)/π

155.99 = r^2

Now square root both side

√155.99 = √(r^2) Note: square and square root cancel eachother out.

12.49 = r or,

13 = r

8 0
3 years ago
The amounts of food waste generated in a region during two years were 37,500,000 tons and 30,400,000 tons. What was the total fo
galben [10]

You can change the form of the number to scientific notation before or after you do the addition. Here, we see the sum will be less than 100 million tons, so we can convert to scientific notation before we do the addition without requiring extra steps. The total waste is the sum of the amounts of waste in the two years.


... 3.75×10⁷ + 3.04×10⁷ = (3.75 +3.04)×10⁷ = 6.79×10⁷ . . . tons

6 0
4 years ago
Elena has one and a half times as much money as ramon. together they have $225. how much money does each have? choices for ramon
torisob [31]
E= 1.5R
E+R=225
1.5R+R=225
2.5R=225
R= 90
6 0
3 years ago
MORE PROBABILITY :\ . In a family with family with 4 children, excluding multiple births, what is the probability of having 2 gi
Bond [772]

In order to solve or know the probability of having 2 girls and 2 boys, assumed that a girl is as likely as a girl at each birth, pascal’s triangle will be likely used. And we will be referring to the line 4 of pascal’s triangle, which was 1 4 6 4 1.  Then it will look like this: 1 = 4 girls; 4 = 3 girls & 1 boy; 6 = 2 girls & 2 boys; 4 = 3 boys & 1 girl; 1 = 4 boys. And now for the solution in order to get the probability of having 2 girls and 2 boys is to divided into the sum of  1+4+6+4+1. 

7 0
4 years ago
What is the probability of rolling at least one 5 or 6 when rolling the dice three times?
Lubov Fominskaja [6]

Answer:

19/27

Step-by-step explanation:

Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a \frac{2}{3} chance each time you roll the dice. Thus raising this to the third power results in \frac{8}{27}. Since we are looking for the inverse probability, we can do:

1-\frac{8}{27} In order to get our final answer.

3 0
3 years ago
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