Which unit rate is equivalent to 14 miles per gallon?

Mathematics

1 answer:

Tcecarenko [31]3 years ago

6 0

It would be 42 miles over 3 gallons

42/3=14

Hope this helps :)

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Write the expression 2a+b in the form of a fraction with the given denominator. Check if the domain of the expression changed. I

Ymorist [56]

Answer:

See below

Step-by-step explanation:

I will assume the given denominator is 3a as there is nothing attached to the statement.

Lets first look at the domain of 2a+b. As it is a polynomial with unknowns a and b, we know it has its domain in all real numbers for both a and b as every polynomial does. For verifying it replace a and b by any real number you can think of.

Domain = a, b belonging to R

Now, if we divide 2a+b by 3a we will have:

(2a+b)/3a

As know we don not have a polynomial we cant state that the domain will still be all the real numbers for sure. We need to go further.

We have a fraction and as every fraction the denominator CAN'T be equal to 0, so 3a MUST be different to 0. This means that a MUST be different to 0. So, now our domain changes:

domain' = a, b belonging to R and a different to 0.

6 0

3 years ago

The ordered pairs on the graph represent a proportional relationship. What is the constant proportionality of Y to X

castortr0y [4]

A 7/4 because the slope of the line is 7/4

7 0

3 years ago

-4y+20=-x solve for y

melisa1 [442]

Answer:

y = x/4 + 5

Step-by-step explanation:

Solve for y:

20 - 4 y = -x

Hint: | Isolate terms with y to the left-hand side.

Subtract 20 from both sides:

-4 y = -x - 20

Hint: | Solve for y.

Divide both sides by -4:

Answer: y = x/4 + 5

5 0

3 years ago

Read 2 more answers

Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not

4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

$\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\$

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back $x=4$ , we will get two fractions with zero denominator which would be undefined.