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Georgia [21]
3 years ago
6

Please help!

Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

  x = 0

Step-by-step explanation:

The argument x+3π/2 shifts the sine function 3π/2 to the left, making it equivalent to -cos(x). Then the equation becomes ...

  -2cos(x) = -2

  cos(x) = 1

On the interval [0, 2π), cos(x) is only 1 at x=0.

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HELP ASAP! 70 POINTS
givi [52]

Answer:  f(x) and g(x) are inverses of each other

<u>Step-by-step explanation:</u>

To find the inverse of a function, swap the x's and y's and then solve for "y"

f(x) = 5x + 2

 y  = 5x + 2

Swap:

     x = 5y + 2

<u>    -2 </u>   <u>      - 2 </u>

x - 2 = 5y

<u>÷5     </u> <u>÷5  </u>    

\dfrac{x-2}{5}=y

****************************************************************

g(x)=\dfrac{x-2}{5}\\\\y=\dfrac{x-2}{5}\\\\\text{Swap:}\\x=\dfrac{y-2}{5}\\\\\\(5)x=\dfrac{y-2}{5}(5)\\\\\\5x=y-2\\\\5x+2=y

5 0
4 years ago
Read 2 more answers
A number plus itself, plus twice itself, plus 4 times itself is equal to -104
NARA [144]

The scenario will will be represented by: x+x+2x+4x=-104

The number will be -13

Step-by-step explanation:

We have to convert the given situation into the mathematical form

Let x be the number

Then

"a number plus itself"

x+x

"plus twice itself"

x+x+2x

"plus 4 times itself"

x+x+2x+4x

"is equal to -104"

x+x+2x+4x=-104

This can also be written as:

x+x+2x+4x=-104\\8x=-104\\Dividing\ both\ sides\ by\ 8\\\frac{8x}{8}=\frac{-104}{8}\\x=-13

Keywords: Linear Equation

Learn more about linear equation at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

7 0
3 years ago
1. A circular swimming pool has a diameter of 60 feet, and is surrounded by a concrete sidewalk that is 5 feet wide. What is the
Ivenika [448]
We first calculate the area of the entire pool and the side walk.

Given that the pool has a diameter of 60 feet and that the side walk surrounds the pool with a width of 5 feet. This means that the diameter of the entire pool and the side walk is 60 + 5 + 5 = 70 feet and the radius is 70 / 2 = 35 feet

Thus the area of the entire pool and the side walk is obtained as follows:

Area=\pi r^2 \\  \\ =\pi(35)^2=1,225\pi\ square\ feet

Given that the pool has a diameter of 60 feet, this means that the radius of the pool is 30 feet.

Thus the area of the pool is given by:

Area_{pool}=\pi r^2 \\  \\ =\pi(30)^2=900\pi\ square\ feet

Therefore, the area of the sidewark is the area of the entire pool and side walk minus the area of the pool, this is given by:

Area_{side walk}=1,225\pi-900\pi \\ \\ =325\pi=1,021 \ square\ feet.
6 0
3 years ago
In the expression 6^8 what does the exponent show
Yanka [14]

Answer:

6^8=6*6*6*6*6*6*6*6

=1679616

Step-by-step explanation:

In this expression the exponent shows that how many times 6 will be multiplied.

6^8=6*6*6*6*6*6*6*6

=1679616

7 0
3 years ago
MY HOMEWORK IS DUE SOON!!! PLEASE HELP
Rudik [331]

Answer:

7.07143

Step-by-step explanation:

Diameter: 18

Angle: 45

Radius: 9

5 0
3 years ago
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