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musickatia [10]
3 years ago
13

The function g is defined as follows.

Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

h(x) =  2x²+2

Step-by-step explanation:

Given the function g is defined as follows.

g(x) = 2x²+7

If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;

h(x) =  2x²+7 - 5

h(x) =  2x²+2

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A circle with radius ris inscribed inside a square with a side length s. Use 3. 14 for TT Round answer to the nearest hundredth
Dominik [7]

9514 1404 393

Answer:

  21.46 mm^2

Step-by-step explanation:

The area of the square is ...

  A = s^2 = (10 mm)^2 = 100 mm^2

The area of the circle is ...

  A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2

Then the shaded area is ...

  100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area

4 0
3 years ago
Tamara purchased 1,500 shares of a mutual fund at an offer price of $7.08 per share. Later she sold the investment for $10.02 pe
den301095 [7]

Answer:

Return of investment = 44.5%

Step-by-step explanation:

Number of shares purchased by Tamara = 1500

Offer price per share = 7. 08

Total amount spent on purchasing shares = 1500 × 7.08 = 10620

Dividend receive per share = 0.21

Total dividend received on 1500 shares = no. of shares × dividend received per share

Total dividend received = 1500 × 0.21 = 315

Selling price per share = 10.02

Amount received by Tamara by selling the investment = no. of shares × selling price per share

Amount received by Tamara by selling the investment

= 1500 × 10.02

= 15030

Now, Net profit received on investment = S.P of Investment + Dividend received - C.P of investment

Net profit = 15030 + 315 - 10620 = 15345 - 10620 = 4725

Return on investment = \frac{Net\ profit}{Cost\ of\  investment} \times 100

= \frac{4725}{10620} \times 100 = 44.49%

≈ 44.5 %

6 0
4 years ago
A dealer paid $12,500.00 for a boat at an auction. At the dealership, a salesperson sold the boat for 25% more than the auction
murzikaleks [220]

Answer:

$625 for commision

Step-by-step explanation:

multiply 12,500.00 125% which is 1.25

then you get 15625, subtract 15625 - 12500 = 3125

the multiply that by 20% (.20) which is $625

4 0
3 years ago
If point U is reflected across the x = -3, what are the coordinates of its reflection image?
Elena L [17]

The coordinates of U after the reflection are: (-5, -3)

<h3>How to get the coordinates after the reflection?</h3>

By looking at the graph, we can see that the coordinates of point U are:

U = (-1, -3)

And we want to reflect it across the line x = -3.

Notice that because this is a vertical line, the y-component does not change by the reflection. Only changes the x-component, such that the distance between the original coordinates and the final coordinates to the line don't change.

The original x-component is x = -1, the distance to the line is:

d = |-3 - (-1)| = 2 units.

Then the new x-component will also be at 2 units of the line, but in the other direction:

new x-component: x = -3 - 2 = -5

The coordinates of U after the reflection are:

(-5, -3)

If you want to learn more about reflections:

brainly.com/question/4289712

#SPJ1

5 0
2 years ago
Simplify 5/9x4 3/5x6 3/11x6/10 and 3 4/5x7 1/2
Sav [38]

Answer:

529/55 and 57/2

Step-by-step explanation:

4 0
2 years ago
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