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dimaraw [331]
3 years ago
14

Match the inequality to the graph of its solution.

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
7 0

<u>case a) </u> c+7 \leq 3

c+7 \leq 3\\ c\leq3-7\\c\leq -4

the solution is the interval-------> (-∞,-4]

the answer case a) in the attached figure

<u>case b)</u> c-3 > 1

c-3 > 1\\c > 1+3\\c> 4

the solution is the interval-------> (4,∞)

the answer case b) in the attached figure

<u>case c)</u> c-7< 3

c-7< 3\\ c

the solution is the interval-------> (-∞,10)

the answer case c) in the attached figure

Tema [17]3 years ago
3 0
The first graph is c. c - 7 < 3.
The second graph is a. c + 7 ≤ 3.
The third graph is b. c - 3 > 1.
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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Suppose you work as a clerk at a local retail store earning $6 per hour. The amount of your weekly paycheck (before taxes are ta
Viktor [21]

Answer:

x is the independent variable and it represents the number of hours worked per week by the clerk.

Step-by-step explanation:

An independent variable refers to a variable in model that is varied or changed in order to examine its effect on another variable. The other variable is called a dependent variable.

A dependent variable is a variable in a model that changes as a result of a change in the independent variable.

From the question, x is the independent variable and its represent the number of hours worked by the clerk.

F(x) represents the amount of your weekly paycheck and it is the dependent variable that changes as the number of hours worked, x, changes.

For example, since we are given:

F(x) = 6x ............................... (1)

Where;

F(x) = = depemdent variable = Amount of weekly paycheck (before taxes are taken out)

6 = coefficient of x = Earning per hour

x = Independent variable = Number of hours worked

Assuming x = 1, we can substitute this into equation (1) and have:

F(x) = 6 * 1 = $6

But when x = 2, we have:

F(x) = 6 * 2 = $12

Therefore, the dependent variable F(x) changes from $6 weekly to $12 weekly as the independent variable x changes form 1 hour to 2 hours weekly.

8 0
3 years ago
What is the total cost of a $2,099 couch including the 6.5% sales tax?​
fomenos

Answer:

$2422

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
From the graph; calculate: E=
Ket [755]
<h3>Answer:</h3>

c) 7π cm

<h3>Step-by-step explanation:</h3>

The length of an arc (s) is related to its central angle (θ) and the radius of the circle (r) by ...

... s = rθ . . . . . . . . . θ in radians

Here, the central angle measures are given in "grads". There are 400 grads in a circle, so 200 grads in π radians. To convert grads to radians, we multiply the number of grads by π/(200g).

Then the lengths of the arcs are ...

... arc AB = (20 cm)·(50g·(π/(200g))) = 5π cm

... arc BC = (10 cm)·(40g·(π/(200g))) = 2π cm

E = arc AB + arc BC = 5π cm + 2π cm = 7π cm

5 0
3 years ago
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