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2 years ago

Please help!!! Will give brainliest

Mathematics

1 answer:

AlladinOne [14]2 years ago

5 0

Answer:

option C

Step-by-step explanation:

option C is the correct answer of this question.

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For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).

Softa [21]

Answer:

$\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

Step-by-step explanation:

$f(x)=4x+1$

$g\left(x\right)=x^2\:-\:5$

(g/f)(x) = g(x) / f(x)

$=\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:$

$=\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}$

$=\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}$

$=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

Therefore,

$\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}$

8 0

2 years ago

Which graph represents y=-2x

seraphim [82]

A graph which represents the linear function y = -2x is: graph B.

<h3>What is a graph?</h3>

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

Generally speaking, the graph of any proportional relationship is characterized by a straight line with the data points passing through the origin (0, 0) because as the values on the x-axis (x-coordinate) either increases or decreases, the values on the y-axis (y-coordinate) increases or decreases simultaneously.

In this context, we can reasonably infer and logically deduce that the relationship between x-values and y-values in the graph of y = -2x is proportional as it passes through the origin (0, 0).

Read more on a graph here: brainly.com/question/16869886

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9 months ago

A diagram of Eric pool as shown below. He plans to fill this pool to a depth of 4ft with a garden hose that flows at 80ft expone

Alex777 [14]

The Volume of a Cylinder = π • r² • height
radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume = 2,290 cubic feet
The hose delivers 80 cubic feet per hour so it will take:
2,290 / 80 = 28.625 hours
**************************************************************************
The volume of the pool is:
volume = PI * 182.25 * 4.5
= 2,576.5 cubic feet

6 0

3 years ago

When a person is breathing normally the amount of air in their lawns varies sinusoidally. When full Karen’s lungs hold 2.8 L of

makkiz [27]

Answer:

$A(t) = 2.2\sin \frac{(t - 2)\pi }{6} + 0.6$