Answer:
Jeff mows 9 yards of lawn in 30 minutes
Step-by-step explanation:
The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is
, where n is the number of yards he mows.
To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.

Add -12 to both sides:


Divide both sides by 2


Hence Jeff mows 9 yards of lawn in 30 minutes.
The difference between the mixed numbers is equal to 5/6.
<h3>How to perform the subtraction between the two mixed numbers?</h3>
A mixed number is a number that is written as a whole number plus an improper fraction, here we want to compute:
(2 + 1/2) - (1 + 2/3)
We can group the whole numbers and the fractions, so we get:
(2 - 1) + (1/2 - 2/3)
Now we can simplify this so we get:
(2 - 1) + (1/2 - 2/3)
= 1 + (3/6 - 4/6) = 1 - 1/6 = 6/6 - 1/6 = 5/6
We conclude that the difference between the mixed numbers is equal to 5/6.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
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Answer:
Step-by-step explanation:
a) the equation representing the parabola is expressed as
h = -16t² - 4t + 20
c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes
h = -16(25)² - 4(25) + 20
h = - 10000 - 100 + 20
h = - 10080
d) when the coin lands on the ground, the height would be 0. Therefore,
-16t² - 4t + 20 = 0
Dividing both sides of the equation by 4, it becomes
- 4t² - t + 5 = 0
- 4t² - 5t + 4t + 5 = 0
- t(4t + 5) + 1(4t + 5) = 0
- t + 1 = 0 or 4t + 5 = 0
t = 1 or t = - 5/4
Since t cannot be negative, then t = 1 second
Answer:
We conclude that (4, 2) is NOT a solution to the system of equations.
Step-by-step explanation:
Given the system of equations


Important Tip:
- In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.
Let us solve the system of equations using the elimination method.

Arrange equation variables for elimination

Subtract the equations




Now, solve -2x = 6 for x

Divide both sides by -2

Simplify

For y - x = -2 plug in x = -3


Subtract 3 from both sides

Simplify

The solution to the system of equations is:
(x, y) = (-3, -5)
Checking the graph
From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.
Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.