Answer:
the first one has one solution because eventually they will cross
Answer:
3
Step-by-step explanation:
The linear function
One of the points is (0,5), so
f(0) = 5
The y-intercept is at (0,5).
===============
The exponential function
The general formula for an exponential function is
.
=====
Calculate the <em>value of b
</em>
y₃/y₂ = [a(b)³]/[a(b)²]
250/50 = b
b = 5
=====
Calculate the <em>value of a
</em>
250 = a(5)³
250 = a × 125
a = 2
=====

g(0) = 2(5)⁰
g(0) = 2 × 1
g(0) = 2
=====
|f(0) – g(0)| = |5 – 2|
|f(0) – g(0)| = 3
The positive difference in the y-intercepts of f(x) and g(x) is 3.
You can see the two y-intercepts on the graph below.
No, it is not 35% off... Let me explain. Let's say the original price is $100 to make the math easy. When you take 25% off then take an additional 10% off, the 10% is off of the discounted price, so
100 x 25% = 100 x .25 = 25 dollar discount
New price = $75
Now 10% off of $75
10% x 75 = .10 x 75 = $7.50 discount
New price = 75 - 7.50 = $67.50
Now, if you just took 35% off of $100
100 x 35% = 100 x .35 = $35 discount
New Price = 100 - 35 = $65
Bottom line... when you take an "extra" percentage off, you are taking a percentage of a smaller number, so the discount is not as big.
Answer:
Step-by-step explanation:
yes