MATHEMATICS HIGH SCHOOL

Reciprocal of 0.002894​

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For a given input value b, the function g outputs a value a to satisfy the following equation. a-7=3(b+2)a−7=3(b+2)Write a formula for g(b) in terms of b

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Answer:

  g(b) = 3b +13

Step-by-step explanation:

Effectively, you want to solve for "a".

  a-7 = 3(b+2)

  a = 3b +6 + 7 . . . . . . eliminate parentheses, add 7

  g(b) = 3b +13

Answer: 3b +13

Step-by-step explanation:

Can you give examples of situations that might be modeled with trigonometric functions?

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Circular motion
Other armonic motions: pendular motion, motion of a mass attached to a spring.
Waves: light wave, sound wave
Cyclic phenomena: temperature of the earth.

Simplify the expression. 7(3x + 5y) + 4y

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=21x + 35y + 4y
= 21x + 39y

1. Use the figure below to answer the questions. Give the coordinates for the original points and the points after the given transformation is performed on the original coordinate.

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Answer:

G'(-4, -3)

G'(3, 4)

G'(-8, 6)

Step-by-step explanation:

Coordinates of the original point G on the graph → (-4, 3)

When the point G is reflected over the x-axis,

Rule to be followed fro the reflection,

(x, y) → (x, -y)

By this rule image of the point G will be,

G(-4, 3) → G'(-4, -3)

Rule for the rotation by 90° clockwise,

(x, y) → (y, -x)

G(-4, 3) → G'(3, 4)

Rule for the translation of 4 units left and 3 units up,

(x, y) → [(x - 4), (y + 3)]

G(-4, 3) → [(-4 - 4), (3 + 3)]

            → (-8, 6)

-85 minus -16


HELP!!!!

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-85-16 is equal to -101

I like to treat this as an addition problem to make it sound simple (may only apply to both being negative)

Ask yourself what is 85+16?
101

The question is asking the opposite negative version of it, meaning add a negative to change your answer to -101 as the final answer.

Answer:-69

Step-by-step explanation:-85 - -16 would be changed to -85+16 because there are two minus signs next to eachother.

Find the Inverse of f(x) = 3x -18

Answers

Answer:

y = 1/3x+6

Step-by-step explanation:

Step 1

- Rewrite f(x) as y

f(x) = 3x-18 => y = 3x-18

Step 2

- Swap x and y

y = 3x-18 => x = 3y-18

Step 3

-  Slove for y (By that it means isolate y)

x = 3y-18 (+18 both sides)

x+18 = 3y (Then divide both sides by 3)

1/3x+6 = y

Final Answer:

y = 1/3x+6
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