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VMariaS [17]
2 years ago
14

7) The fee for charging an electric car at Station A is $2 to start, and then $4 for each hour or fraction of an hour.

Mathematics
1 answer:
artcher [175]2 years ago
6 0

Answer:

Cheaper Station: B

Fee at Chosen Station: $15

Step-by-step explanation:

Set up equations:

Variable x = number of hours

Station A: 4x + 2

Station B: 3x + 3

Plug in 4 for x:

A:

4(4) + 2

16 + 2

$18

B:

3(4) + 3

12 + 3

$15

Compare:

$18 > $15

Station B is cheaper.

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Solve the equation for x by graphing -2x + 3 = -3(-x) - 2
adoni [48]

Answer:

  x = 1

Step-by-step explanation:

There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.

__

Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.

  (-2x +3) -(-3(-x) -2) = 0

A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...

  -5x +5 = 0

So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.

6 0
3 years ago
Factor by using the perfect-square trinomial formula. <br><br> 100x^2+20x+1
a_sh-v [17]
To factor first multily 100 and 1 and get 100

then find what 2 numbers multiply to get 100 and add to get 20

the numbers are 10 and 10

so
split the center term up
100x^2+10x+10x+1
group
(100x^2+10x)+(10x+1)
undistribute
(10x)(10x+1)+(1)(10x+1)
undistribute/reverse distributive property
(10x+1)(10x+1)
(10x+1)^2
8 0
3 years ago
Read 2 more answers
4 questions. Please help.
Vladimir [108]
Dont u think their should be more points for 4 hard questions
4 0
3 years ago
Keith makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Anarel [89]

Answer:

P=8h

Step-by-step explanation:

P is the total amount of dollars that Keith will make, while h is the number of hours he will work for. If you multiply the number of hours he works for and how much he makes in an hour which is 8. You will get the total amount.

8 0
3 years ago
A mouse scurries across your kitchen floor at 2.0 feet per second. How many miles can the mouse travel in 1.5 hours (rounded to
Mila [183]

Given

A mouse scurries across your kitchen floor at 2.0 feet per second.

Find out the mouse travel in 1.5 hours.

To proof

FORMULA

Distance = speed × time

1foot = \frac{1}{5280} miles

Convert feet per second into miles per second

= \frac{2.0}{5280}

As given in the question

Time = 1.5 hours

1 hours = 3600 second

Time convert in the second

Time = 1.5 × 3600 second

       = 5400 second

put all these value in the above formula

we get

Distance= \frac{2.0\times 1.5 \times 3600}{5280}

Distance= \frac{10800}{5280}

= 2.04 (approx) miles

= 2.0 miles

Hence proved

                   


           






4 0
3 years ago
Read 2 more answers
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