Answer:
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Step-by-step explanation:
Example: If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Note: the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.
Answer:
Step-by-step explanation:
The circular city park has a sidewalk directly through the middle that is 111 - feet long. This means that the diameter of the park is 111 feet.
The formula for determining the the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circular floor.
π is a constant whose value is 3.14
From the information given,
Diameter = 111 feet
Radius = diameter/2 = 111/2 = 55.5 feet.
Area of park = 3.14 × 55.5² = 9671.985 feet²
If each bag of fertilizer covers 50 square feet, then the number of bags needed is
9671.985/50 = 193.44 bags
Answer:
400%
Step-by-step explanation:
We can write a percent proportion:
600/x = 150/100
a:b = c:d
a and d are linked and b and c are linked. So if a is missing, you would do (b*c)/d to get a, if b was missing, you would do (a*d)/c to get b, etc.
So over here we do
(600*100)/150 = 60,000/150 = 400, so x = 400, so that means it's 400% of 150
We can also use benchmark fractions which I find much easier:
100% of 150 is 150.
So 200% of 150 is 300
So 300% of 150 is 450
And 400% of 140 is 600
Every time it increases by 100%, it also increases by 150 on the other side, which makes sense
Let me know if you have any questions.
Answer:
It decreased in value by $15 a year.
Step-by-step explanation:
I put it in the form of an equation and solved from there.
120/8=x
