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Iteru [2.4K]
3 years ago
11

12 The cost of a telephone call is $0.60 for the first three minutes plus $0.17 for each additional minute. What is the greatest

number of whole minutes the telephone call can be if the cost cannot exceed $2.50?
F 8
G 11
H 14
j 18
Mathematics
2 answers:
rusak2 [61]3 years ago
8 0
The correct answer would be j (18) because all you have to do is keep adding 0.17 and keep counting until you get to the 2.50 mark. I hope I helped you
frosja888 [35]3 years ago
8 0

Answer:

H

Step-by-step explanation:

The total cost of the call is $2.50

Since the first three minutes cost $0.60

x minutes = $2.50 - $0.60

x minutes = $1.9

Each additional minutes cost $0.17

So: $1.9 / $0.17 = 11

To find the total minutes

$0.60 + $1.9 = $2.50

3 + 11 = total minutes

14 = total minutes

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3 years ago
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A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated
zysi [14]
Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
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x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
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Hope this helps :)
8 0
3 years ago
I've been stuck on this for a long time. I would greatly appreciate help.
choli [55]
The vertex is (8,7)
the minimum value is 7
the vertex form is y=(x-8)^2 +7
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i hope this helps!
7 0
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Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
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Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

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see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

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KonstantinChe [14]
I have the same question 37377 not the
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