What is the value of x in the equation 3x − 2 = x + 8?
1 answer:
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Hello there!
Answer:
Triangle 2
Step-by-step explanation:
To determine which triangle has the bigger area, we would need to figure our the area of the triangles.
To solve for the area of the triangles, we would use the formula length × width × height or l × w × h
They gave us the information to the triangles in the question, so we would just solve.
Triangle 1:
Triangle 2:
When you finish solving, you would see that triangle 2 has the bigger area.
Triangle 2 would be the CORRECT answer because it has a bigger area than Triangle 1.
Answer:
Step-by-step explanation:
Let's first find the exponential function that models the situation in year one. The exponential standard form is
where a is the initial value and b is the growth/decay rate in decimal form. If it is growth it is added to 100% of the initial value; if it is decay it is taken away from 100% of the initial value. We are told that the number of cars in year one was 80 million, so
a = 80 (in millions)
If b is increasing by 10%, then we are adding that amount to the initial 100% we started with to give us 100% + 10% = 110% or, in decimal form, 1.1
The model for our situation is
where y is the number of cars after x years goes by. We want to find the difference between years 3 and 2, so we will use our model twice, replacing x with both a 2 and then a 3 and subtracting.
When x = 2:
and
y = 80(1.21) so
y = 96.8 million cars
When x = 3:
and
y = 80(1.331) so
y = 106.48 million cars
The difference between years 3 and 2 is
106.48 - 96.8 = 9.68 million cars