Answer:
D.
Step-by-step explanation:
To find the equation of g(x), we can substitute the point into each of the equations.
A. g(x) = (1/4x)^2
1 = (1/4 * 2)^2
1 = (1/2)^2
1 = 1/4
This statement is false, so this is not the equation.
B. g(x) = 1/2 * x^2
1 = 1/2 * (2)^2
1 = 1/2 * 4
1 = 2
This statement is false, so this is not the equation.
C. g(x) = 2x^2
1 = 2 * 2^2
1 = 2 * 4
1 = 8
This statement is false, so this is not the equation.
D. g(x) = (1/2x)^2.
1 = (1/2 * 2)^2
1 = 1^2
1 = 1
This statement is true, so this is your answer.
Hope this helps!
Answer:
<u>There were 12 gold coins in the chest at the start.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
x = Number of gold coins in a chest
1/2x = Number of gold coins taken by the captain
1/4x = Number of gold coins taken by Sally
3 = Number of gold coins left
2. How many coins were in the chest at the start?
Let's write the following equation to solve for x:
1/2x + 1/4x + 3 = x
2x + x + 12 = 4x (Lowest Common Denominator is 4)
4x - 2x - x = 12 (Like terms)
x = 12
<u>There were 12 gold coins in the chest at the start.</u>
In the question, we are given with speed of a car and the distance it have to travel.
Given:
- Speed of the car = 40 km/hr.
- Distance to travel = 60 km
So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.
This can be easily done by using the Speed, Distance and Time formula which says:
So, let's solve by using this formula.
⇛ s = v × t
⇛ 60 km = 40 km/hr × t
⇛ t = 60 km / 40 km/hr
⇛ t = 3/2 hr.
⇛ t = 90 mins or 1 1/2 hours
So, time the car will take to travel 60 km:
And we are done !!
#CarryOnLearning....
<u>━━━━━━━━━━━━━━━━━━━━</u>
I do not see the statements.
The right system of equations to describe the situation would
be on the form:
x1 = 8000 + y1*t
and
x2 = 8000 + y2*t
where x1 and x2 represents the total money of Imogene and her
friend respectively at the end of t years.
Now for the value of amount earned, y1 and y2:
y1=8000*0.08
y2=2000*√(t-2)
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