Answer:
This is slope-intercept form: y = (-3/4)x + 3
The slope is: -3/4
The y-intercept is: 3
Step-by-step explanation:
3x + 4y - 12 = 0
Isolate y
3x - 3x + 4y -12 + 12 = -3x + 12
Simplify
4y = -3x + 12
Divide 4 on each side to get y by itself
4y/4 = -3x/4 + 12/4
Simplify
y = (-3/4)x + 3
This is slope-intercept form: y = (-3/4)x + 3
The slope is: -3/4
The y-intercept is: 3
Answer:
The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .
Step-by-step explanation:
Given:
The car can travel 25 miles per gallon. (1 mile = 1.6 km)
Now, we need to convert 25 miles into km .
25 miles = 25 × 1.6 km
= 40 km
So, the car can travel 40 km per gallon.
Then, we find out in 1 km how many gallons are used:



Now, we find out how much gallons of fuel will the car need to travel 30 km:
Gallons of fuel the car need to travel 30 km = 
=
.
Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.
Plug in 300 for C(x), to get:
300=

Then subtract to get: 0=

Then use the quadratic formula and plug everything in. Use a calculator to simplify.
You'll get two answers: 29.486 and -0.513.
Since you can't sell <em>"negative" </em>tacos, use the positive solution
Around 29-30 tacos.