Answer:
8 hours
Step-by-step explanation:
Step one:
Given data
Tom earned $72 walking dogs for 6 hours
amount earned = $72
time taken = 6 hours
Required
The time taken to earn $96
Step two:
let us find the unit rate of his earning
unit rate = 72/6
= 12 per hour
In 1 hour Tom earns $12
in x hours he will earn $96
cross multiply we have
96*1= 12x
divide both sides by 12
x= 96/12
x=8 hours
To get the that relates x and y, we choose two points on the table and use the equation of a straight line as follows:
Recall that the equation of a staight line is obtained from the formula
Using the points (30, 18) and (36, 24), we have
Answer:
Step-by-step explanation:
If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:
5x-2x^2+1 = 0
This is a quadratic equation. Rearranging the terms in descending order by powers of x, we get:
-2x^2 + 5x + 1 = 0. Here the coefficients are a = -2, b = 5 and c = 1.
Use the quadratic formula to solve for x:
First find the discriminant, b^2 - 4ac: 25 - 4(-2)(1) = 25 + 8 = 33
Because the discriminant is positive, the roots of this quadratic are real and unequal.
-b ± √(discriminant)
Applying the quadratic formula x = --------------------------------
2a
we get:
-5 ± √33 -5 + √33
x = ----------------- = --------------------- and
2(-2) -4
-5 - √33
---------------
-4
The base is the greatest surface area
Answer:
It tell the direction and the steepness of the line. Which means how much they rise or how much they fall, horizontal or vertical. It represent by the letter m
Step-by-step explanation:
m= y/x
more detail
m= y₂ - y₁ / x₂ - x₁
