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Margarita [4]
3 years ago
8

Which of the following is the maximum value of the function y = -x2 + 2x + 1?

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0

We first complete the square.

y=-x^2+2x+1

y=-x^2+2x-1+1+1

y=-(x-1)^2+2

The maximum point is (1,2) since -1 in ( ) meant 1 unit to the right and +2 meant 2 units up.

The maximum point is (1,2) but the maximum value means the y value which is simply just 2.

Done!

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Jane moved from a house with 66 square feet of closet space to an apartment with 34.98 square feet of closet space. What is the
Kryger [21]

There is a 47% decrease in Jane's closet space.

Step-by-step explanation:

Old measurement of closet = 66 square feet

New measurement of closet = 34.98 square feet

Change = New value - Old value

Change = 34.98 - 66 = -31.02 square feet

The negative sign indicates the decrease.

Decrease percent = \frac{Change}{Old\ value}*100

Decrease\ percent=\frac{31.02}{66}*100 = \frac{3102}{66}\\Decrease\ percent=47\%

There is a 47% decrease in Jane's closet space.

Keywords: decrease, percentage

Learn more about percentages at:

  • brainly.com/question/1386181
  • brainly.com/question/1388658

#LearnwithBrainly

8 0
3 years ago
Please help me out !!
Dmitrij [34]
<h3>Solution:</h3>

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8 0
3 years ago
During a week in January in Jefferson City, MO, the daily high temperatures were -2˚F, 12˚F, 5˚F, -4˚F, 20˚F, 16˚F, and -12˚F. W
Alexeev081 [22]

Answer:

50-20+5= 35

Step-by-step explanation:

3 0
3 years ago
The distance from one edge of a circle to the center is 3ft.What is the circumference.Round to the nearest whole number.
Mila [183]
Well the radius is 3 so the diameter is 6 times that times pi and theres ur answer
3 0
3 years ago
devi and her brother had the same amount of money. after devi spent 2/5 of her money and her brother spent 3/10 of his money, th
krok68 [10]
To answer this question you have to create a system of equations. The first equation will be that Devi's money (x) equals her brother's money (y), or x = y. The next equation would be that (3/5)x + (7/10)y = 78. You than can substitute x in for y because x = y. The equation would know be (3/5)x + (7/10)x = 78. You then combine the like terms to create an equation of (13/10)x = 78. Then, multiply both sides by 10 / 13 in order to isolate x. This will create the equation x = 60. This means that Devi and her brother each had 60 dollars. You then find out how much they spent and add it together. You can do so with the equation (2/5)x + (3/10)y = z, with z being total money spent. You substitute 60 in for x and for y then solve. When you solve you see that 24 + 18 = z, or that z equals 42. In other words, they spent 42 dollars altogether.
6 0
4 years ago
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