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telo118 [61]
3 years ago
13

Jean climbed 2/3 of the distance to the top of the cliff as shown on the number line. Terry climbed 1/3 of the distance less tha

n Jean. Steve climed 1/5 of the distance more than Jean. Drag the correct points to the correct locations on the number line.

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

See Explanation

Step-by-step explanation:

Given

Jean = \frac{2}{3}

Terry = \frac{1}{3}

Steve = \frac{1}{5}

Required

Represent them on number line

Start by getting the LCM of the denominators of the three fractions;

The denominator are: 3 and 5

LCM = 15

This means that, the number line will be divided into 15 partitions;

Next, we get the position of each fraction as follows;

Jean = \frac{2}{3} * 15

Jean = \frac{30}{3}

Jean = 10

<em>Jean will be represented on the 10th point</em>

Terry = \frac{1}{3} * 15

Terry = \frac{15}{3}

Terry = 5

<em></em>

<em>Terry will be represented on the 5th point</em>

<em></em>

Steve = \frac{1}{5} * 15

Steve = \frac{15}{5}

Steve = 3

<em>Steve will be represented on the 3rd point</em>

<em></em>

<em>See Attachment for number line</em>

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5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).
Anon25 [30]

Answer:

The following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
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  • 3x\:+\:-y\:=\:24

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

f(x)=mx+b

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) y^2=\:5x\:+2

y^2=\:5x\:+2  is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) 2x\:+\:4\:=\:3x\:-\:8

2x\:+\:4\:=\:3x\:-\:8

x=12

This is a linear equation is an equation of a straight line, written in one variable.  The only power of the variable is 1

3) y = 3x - 2

y = 3x - 2 is a linear function because it is of the form f(x)=mx+b and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) y\:+\:x^2\:=\:12

y\:+\:x^2\:=\:12 is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) y\:=\:x^2\:+\:2x

y\:=\:x^2\:+\:2x is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) 1

1 is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree 0 or is the 0 polynomial.

7) 3x\:+\:-y\:=\:24

3x\:+\:-y\:=\:24 is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a  summary, the following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

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3 years ago
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