MATHEMATICS MIDDLE SCHOOL

H(x) = x3 + 7
Determine whether the function is one-to-one.

Answers

Answer 1

Answer:

Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

passes the vertical line test to make sure it is indeed a function, and

also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

$h\left(x\right)\:=\:x^3\:+\:7$

Have a look at the attached graph.

The red portion represents the graph of the function $h\left(x\right)\:=\:x^3\:+\:7$ .

The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that $h\left(x\right)\:=\:x^3\:+\:7$ is indeed a function.

The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that $h\left(x\right)\:=\:x^3\:+\:7$ is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

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Would be the right answer

Is 0.33 a rational or irrational number? Explain.

Answers

rational. Ration number have an ending and irrational never end. 0.33 ends.
Hope that helps.

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The line passing through (11,y) and (2,0)is parallel to the line joining (7,5) and (-2,2). Find y.

Answers

Answer: y = 3

Step-by-step explanation:

Two lines are said to be parallel if they have the same slope. All we need to do is to find the slope of each line . The formula for finding slope is given as :

m = $(y_(2)-y_(1))/(x_(2)-x_(1))$

For the first line

$x_(1)$ = 11

$x_(2)$ = 2

$y_(1)$ = y

$y_(2)$ = 0

substituting into the formula , we have

m = $(0 - y)/(2 - 11)$

m = $(-y)/(-9)$

m = $(y)/(9)$

Also Finding the slope of the second line we have

$m_(2)$ = $(2-5)/(-2 - 7)$

$m_(2)$ = $(-3)/(-9)$

$m_(2)$ = $(1)/(3)$

Since the two lines are parallel , we will equate their slope , that is

$(y)/(9)$ = $(1)/(3)$

3y = 9

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4 ft'1. MAFS.7.G 2.6 V Bh Use the figure above, and find the volumeof the given figure.O 10 ft cubedO 20 ft cubedO 40 ft. cubedO 80 ft. cube

Answers

V = Bh

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Area of the triangle = hb/2 = (8ft * 5ft)/2 = 40ft² / 2 = 20 ft²

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the bbookstore has 60 womrns magazines and 20 other magazin. what percentage of the magazines at the bookstore are womans magazines

Answers

Hi,

Equation for this problem;

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Answer: 48%

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r3t40

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