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mezya [45]
3 years ago
10

In 12 hours, how many more kilometers could the yellow car go than the red car? show your work

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

144

Step-by-step explanation:

12 times 12

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Arrange the equations in increasing order of the value of their solutions.
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See the explanation

<h2>Explanation:</h2>

The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:

f(x)=g(x)

For each graph, f(x) will be drawn in red while g(x) will be drawn in blue.

Case 1:

f(x)=\frac{1}{4}x+\frac{5}{2}x-2 \\ \\ g(x)=4-\frac{1}{4}x

So by equating both equations:

\frac{1}{4}x+\frac{5}{2}x-2=4-\frac{1}{4}x

By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:

<u>Solution:</u>

\boxed{x=2}

See First Figure below.

Case 2:

f(x)=7.9x+x+4 \\ \\ g(x)=-1.1x-16

Applying a similar method as in case 1.

<u>Solution:</u>

\boxed{x=-5.8}

See Second Figure below.

Case 3:

f(x)=3.2x+5.7 \\ \\ g(x)=-2.5x

Applying a similar method as in case 1.

<u>Solution:</u>

\boxed{x=-1}

See Third Figure below.

Case 4:

f(x)=10.1x-1.6x+44 \\ \\ g(x)=-7

Applying a similar method as in case 1.

<u>Solution:</u>

\boxed{x=-6}

See Fourth Figure below.

<h2>Learn more:</h2>

Methods for solving system of equations: brainly.com/question/10185505

#LearnWithBrainly

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