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mrs_skeptik [129]
3 years ago
5

Which symbol makes the statement true

Mathematics
2 answers:
ololo11 [35]3 years ago
6 0

Answer:

\frac{-2}{9} > -0.23  

Step-by-step explanation:

We are given the below mentioned question in the picture:

We have to compare the value of \displaystyle\frac{-2}{9}~ \& -0.23.

We have to fill in appropriate sign.

In order to do so first, we evaluate the value of given fraction \frac{-2}{9}.

It's value is -0.22222222.

If we compare both the value, then, -0.22222222 is always greater than -0.23.

Thus, the appropriate sign to fill the given blank is > as,

-0.22222222 > -0.23

jasenka [17]3 years ago
4 0
B , because -2/9 is farther away from zero than -0.23
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Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.
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Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
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substitute

step 2
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-----> the point (0,4) is the y-intercept
substitute

step 3
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-----> equation A
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Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we
Ksenya-84 [330]

<u>Part a)</u> Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours  

we know that

x+y \leq20 --------> inequality 1  

6x+10y \geq 75 --------> inequality 2

<u>Part b)</u> Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

x+y \leq20 --------> inequality 1

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N 1

6x+10y \geq 75 --------> inequality 2  

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N 2

<u>Part c)</u> Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

x+y \leq20 --------> inequality 1

6x+10y \geq 75 --------> inequality 2

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N  3

Let

A(10,10) ------> see the attached figure N  3

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

<u>Prove algebraically </u>

A(10,10)

substitute the value of x and y in the inequalities

<u>inequality 1</u>

10+10 \leq20

20 \leq20 ------> is ok

<u>inequality 2</u>

6*10+10*10 \geq 75

160 \geq 75 -------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

7 0
3 years ago
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