Answer:
60 minutes.
Step-by-step explanation:
Distance = Rate × Time
14 miles = 14mph × ?
Hence, time = 14 miles ÷ 14 mph = 1 hour
1 hour = 60 minutes.
He rode his bike for 60 minutes.
Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:
a) -4.
b) P = 25.
c) 2.
d) P = 5.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The demand is given by:
D = 100 - 4P.
Hence the slope is of -4. The demand is equals to zero when:
100 - 4P = 0 -> P = 25.
The supply is given by:
QS = -10 + 2P.
Hence the slope is of 2. The supply is equals to zero when:
-10 + 2P = 0 -> P = 5.
More can be learned about linear function concepts at brainly.com/question/24808124
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For a function, if it has an inverse function, keep in mind that, the "domain of the original, is the range of the inverse, and the range of the original, is the domain of the inverse", what the dickens does that mean?
well, it means the values for "x" and f(x), on the inverse, are the same values, but swapped up, therefore
Answer:
42 ft, 60 ft, 84 ft
Step-by-step explanation:
let x be the shortest side , then the other 2 sides are 2x and x + 18, so
x + 2x + x + 18 = 186 , that is
4x + 18 = 186 ( subtract 18 from both sides )
4x = 168 ( divide both sides by 4 )
x = 42
Then lengths of sides are
x = 42 ft
2x = 2 × 42 = 84 ft
x + 18 = 42 + 18 = 60 ft
Answer:
3x+9 < 60 where x = Audrey's age
Step-by-step explanation:
Lou says "even if you tripled you age", which means that if Audrey's age is represented by the variable x, then we would multiply it by 3 to get 3x. the next part says "and add 9". We already have the 3x, so we would just tack on a +9 to get 3x + 9. The last part says "you still wouldn't be as old as me." Given that 3x+9 represents Audrey's age, this equation would have to be less than Lou's age, which in this case is 60.
