What is the equation of the line that has a slope of 3 and goes through the point (-3,5)?

Mathematics

1 answer:

sveticcg [70]2 years ago

8 0

Answer:

C. y=3x-4

Step-by-step explanation:

I just know trust me

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Suppose a car has a rating of 4.8 gallons per 100 miles. What is the miles-per-gallon rating of this car?

bezimeni [28]

Answer:

The miles-per-gallon rating of this car is 20.83.

Step-by-step explanation:

This question can be solved by a rule of three.

What is the miles-per-gallon rating of this car?

How many miles for 1 gallon?

4.8 gallons are used for 100 miles. So

4.8 gallons - 100 miles

1 gallon - x miles

$4.8x = 100$

$x = \frac{100}{4.8}$

$x = 20.83$

The miles-per-gallon rating of this car is 20.83.

4 0

3 years ago

Solve the system using substitution method <br> 3x+y=6<br> 2x-4y=10

Andreyy89

$\left\{\begin{array}{ccc}3x+y=6&|-3x\\2x-4y=10\end{array}\right\\\\\left\{\begin{array}{ccc}y=6-3x\\2x-4y=10\end{array}\right\\\\substitute\ y=6-3x\ to\ the\ second\ equation\\\\2x-4(6-3x)=10\\\\2x-4\cdot6-4\cdot(-3x)=10\\\\2x-24+12x=10\\\\14x-24=10\ \ \ |+24\\\\14x=34\ \ \ \ |:14\\\\x=\dfrac{34}{14}\to x=\dfrac{17}{7}\\\\substitute\ the\ value\ of\ x\ to\ first\ equation\\\\y=6-3\cdot\dfrac{17}{7}=6-\dfrac{51}{7}=\dfrac{42}{7}-\dfrac{51}{7}=-\dfrac{9}{7}$

$\boxed{\left\{\begin{array}{ccc}x=\dfrac{17}{7}\\\\y=-\dfrac{9}{7}\end{array}\right}$