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Genrish500 [490]
3 years ago
7

Select the correct answer from each drop-down menu.

Mathematics
2 answers:
Annette [7]3 years ago
7 0

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation \bf{y=-(x-2)^2+5} (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

y=-(2-2)^2+5=5.

The extreme value of this equation has a minimum at the point (2,5).

Fed [463]3 years ago
4 0
Equation d since the coefficient of the quadratic term is negative
(2,-4)
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Can someone please explain The measure of angle A to the nearest tenth of a degree is:
Ratling [72]

Answer:

A =19.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin A= opp/ hyp

sin A = 3/9

Take the inverse sin of each side

sin ^-1 sin A = sin ^-1 (3/9)

A =19.47122063

To the nearest  tenth of a degree

A =19.5

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A school sells T-shirts to promote school spirit. The school's profit is given by the function P(x) = 8x - 150, where * is the n
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Step-by-step explanation:

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Step-by-step explanation:

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Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
CaHeK987 [17]

Answer:

Carlos has practiced piano for \frac{29}{20}=1\frac{9}{20} hours.

Carlos needs to practice \frac{11}{20} hours.

Step-by-step explanation:

We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.

First of all, we will find piano practiced before school and after school by adding both amounts as:

\frac{3}{4}+\frac{7}{10}

Make a common denominator:

\frac{3*5}{4*5}+\frac{7*2}{10*2}

\frac{15}{20}+\frac{14}{20}

Add numerators:

\frac{15+14}{20}

\frac{29}{20}  

Therefore, Carlos has practiced piano for \frac{29}{20} hours.

Now, we will subtract \frac{29}{20} from 2 find number of hours Carlos needs to practice to reach his goal.

2-\frac{29}{20}

\frac{2*20}{20}-\frac{29}{20}

\frac{40}{20}-\frac{29}{20}

\frac{40-29}{20}

\frac{11}{20}

Therefore, Carlos needs to practice \frac{11}{20} hours before going to bed in order to meet his goal.

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3 years ago
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