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Murrr4er [49]
3 years ago
14

A garbage truck and a dump truck each drive along a straight road between two points. Using the points on a map that the city cr

eated, the garbage truck will start at (–3, 4) and will stop at (5, 12). The dump truck will start at (5, –3) and will stop at (–4, 33). What are the coordinates of the intersection that both trucks drive through?
Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0
The intersection of both lines is at (2,9)
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What would the answer be?
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C.) 27 and a half. 12 minutes times 5 equals an hour so 5 and a half pages times 5 equals 27 and a half pages per hour.
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3 years ago
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . The
ziro4ka [17]

<em>Question:</em>

<em>Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage. </em>

<em>The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . </em>

<em>The solution to the inequality is . </em>

<em>Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.</em>

Answer:

a. 150 + 51x < 100 + 55x

b. x > 12.5

c. At least 13 months

Step-by-step explanation:

Given

First Phone;

Cost = \$100

Additional = \$55 <em>(monthly)</em>

Second Phone;

Cost = \$150

<em />Additional = \$51<em> (monthly)</em>

<em></em>

Solving (a): The inequality

<em></em>

Represent the number of months with x

The first phone is expressed as:

100 + 55x

The second phone is expressed as:

150 + 51x

For the second to be less expensive that the first, the inequality is:

150 + 51x < 100 + 55x

Solving (b): Inequality Solution

150 + 51x < 100 + 55x

Collect Like Terms

51x-55x

-4x

Solve for x

x > -50/-4

x > 12.5

Solving (c): Interpret the solution in (b)

x > 12.5 implies 13, 14, 15....

Hence, She'll keep the second phone for a period of at least 13 months

4 0
3 years ago
Read 2 more answers
What are the answer I don’t need the process
pshichka [43]

Step-by-step explanation:

Don't you need a key for what K equals to solve this?

4 0
3 years ago
The equation of a parabola is given in factored form.
ValentinkaMS [17]

Answer:

The parabola's axis of symmetry is x = -6

Step-by-step explanation:

Parabola general equation:

y = a*(x - r1)*(x - r2)

Equation given:

y = (-1/4)*(x + 2)*(x + 10)

a = -1/4

r1 = -2

r2 = -10

To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:

y = (-1/4)*(2+ 2)*(2 + 10) = -12

Then, point (2, 10) is not included in the parabola.

If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward

Axis of symmetry:

h = (r1 + r2)/2

h = (-2 + -10)/2 = -6

Then, The parabola's axis of symmetry is x = -6

To find Parabola's vertex, replace with the axis of symmetry:

y = (-1/4)*(-6 + 2)*(-6 + 10) = 4

Therefore, the parabola has a vertex at (-6, 4)

7 0
3 years ago
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