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Afina-wow [57]
3 years ago
5

6.3-2(1.5c+4.1) algebraic expressions

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

Below is step-by-step in how i got my answer.<span>6.3−<span>2<span>(<span><span>1.5c</span>+4.1</span>)</span></span></span>Distribute:<span>=<span><span>6.3+<span><span>(<span>−2</span>)</span><span>(<span>1.5c</span>)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(4.1)</span></span></span></span><span>=<span><span><span><span>6.3+</span>−<span>3c</span></span>+</span>−8.2</span></span>Combine Like Terms:<span>=<span><span>6.3+<span>−<span>3c</span></span></span>+<span>−8.2</span></span></span><span>=<span><span>(<span>−<span>3c</span></span>)</span>+<span>(<span>6.3+<span>−8.2</span></span>)</span></span></span><span>=<span><span>−<span>3c</span></span>+<span>−1.9</span></span></span><span>Your answer is in Bold
~Good Luck~</span>
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Fran naders insurance coverage bodily Injury 25/100 and $100,000 property damage. It has a $50-deductible comprehensive and a $5
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Answer:

$250,000

Step-by-step explanation:

This is the correct question below;

Fran naders insurance coverage bodily Injury 25/100 and $100,000 property damage. It has a $50-deductible comprehensive and a $50-deductible collision. Her car is in age group C and Insurance-rating group 10(or C,10) and her driver-rating Factor is 1.50.

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Taxicab Ride
lara [203]

Answer: Carlton's cabs is the cheaper option if she wants to travel 15 miles.

Step-by-step explanation:

A linear relationship can be written as:

c = a*n + b

where a is the slope (in this case, the rate per mile), n is the number of miles driven by the taxi, and b is the y-axis (in this case, the initial cost) intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then for each table we only need to take two points and construct the linear equation:

Treveon's Taxis:

We can use the two points (1, $5.25) and (3, $9.75)

Then the rate per mile, or the slope, will be:

a = ($9.75 - $5.25)/(3 - 1) = $2.25

This means that each mile costs $2.25

Then the equation will be written as:

c = $2.25*n + b

To find the value of b, we can just replace one of the points in the equation. For example, I will se the point (1, $5.25) this means that we need to replace n  by 1, and c by $5.25

Then:

$5.25 = $2.25*1 + b

$5.25 - $2.25 = b

$3 = b

Then the initial cost here is $3.

And the equation will be:

c = $2.25*n + $3.

Carlton's Cabs:

Same approach as before, here I will use the points (1, $7.00) and (3, $10.50)

Then the rate per mile will be:

a = ($10.50 - $7.00)/(3 - 1) = $1.75

The rate per mile is $1.75 (is cheaper than in the previous case)

Then at the moment, the equation is:

c = $1.75*n + b

To find the initial cost, we do the same as before, here i will use the point (1, $7.00)

$7.00 = $1.75*1 + b

$7.00 - $1.75 = b

$5.25 = b

The initial cost here is $5.25

And the equation will be:

c = $1.75*n + $5.25

Now, which one is cheaper for 15 miles?

We only need to replace n by 15 in both equations, and see in which one the cost is lower:

Treveon's Taxis:

c(15) = $2.25*15 + $3 = $36.75

Carlton's Cabs:

c(15) = $1.75*15 + $5.25 = $31.5

Then Carlton's Cabs is a better option if you want to travel 15 miles.

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