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kaheart [24]
3 years ago
10

What is the maximum value of the function f(x)= 12 - 3sin (3pi/2 x)

Mathematics
2 answers:
Natali [406]3 years ago
6 0
The lowest value of sinα is -1.

When x=1, you get:

f\left( x \right) =12-3\sin { \left( \frac { 3 }{ 2 } \pi  \right)  } \\ \\ =12-3\left( -1 \right) \\ \\ =12+3\\ \\ =15

So the maximum value of the function is 15.
Lady_Fox [76]3 years ago
4 0
F(x) = 12 - 3sin(3π/2x)
f(x) = 12 - 3sin(9.42/2x)

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You select a marble without looking and then put it back. If you do this 6 times, what is the best prediction possible for the n
mojhsa [17]

Answer:

the possible prediction of getting a purple or blue is 2 out of 6

Step-by-step explanation:

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4 0
2 years ago
4(x + 3) = 6-x what is the answer I need help please
Amanda [17]
4(x + 3) = 6 - x

First, expand to remove parentheses.
4x + 12 = 6 - x
Second, subtract '6' from both sides.
4x + 12 - 6 = -x
Third, subtract '12 - 6' to get 6.
4x + 6 = -x
Fourth, subtract '4x' from both sides.
6 = -x - 4x
Fifth, since 'x' can be referred to as '1', add it to '4x' to get '-5x'.
6 = -5x
Sixth, divide both sides by '-5'.
\frac{6}{-5} =x
Seventh, change the whole fraction into a negative.
-\frac{6}{5} =x
Eighth, switch your sides.
x =  -\frac{6}{5}

Answer as fraction: -\frac{6}{5}
Answer as decimal: -1.2

4 0
3 years ago
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses wer
Stella [2.4K]

Answer:

The number of houses built in Town B is 56.

Step-by-step explanation:

We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.

Also, 70 houses were built in Town A during 210.

Let the number of houses built in Town B be 'x'.

So, according to the question;

Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B

70 = x + (25\% \times x)

70 = x(1+0.25)

x=\frac{70}{1.25}

x = 56

Hence, the number of houses built in Town B is 56.

8 0
3 years ago
Answers:<br><br> A. 2<br><br> B. 2/3<br><br> C. 1/2<br><br> D. 1/4
laila [671]

Answer:

A. 2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordin
fenix001 [56]

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

3 0
3 years ago
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