G(f(x))= (7x+8)^4
g(f(x))= (7(0)+8)^4
=(0+8)^4
=8^4
=8•8•8•8
=4,096
Answer:
<h2>y-intercept = 3</h2><h2>x-intercept - not exist</h2><h2>the graph is increasing</h2>
Step-by-step explanation:
The exponential function:
has y-intercept for x = 0
hasn't x-intercept
if a > 1, then is increasing
if 0 < a < 1, then is decreasing
We have
a = 2 >1 - increasing
for x = 0:
D bc it needs to have a y intercept of -1
To find c, you must isolate it.
To do this, you must divide both sides by 5/7, since that is being multiplied by c and you must do the inverse to it to cancel it out in order to leave c by itself.
5/7c ÷ 5/7 = c
13/14 ÷ 5/7
To divide fractions, follow these steps:
Step 1- Turn the second fraction, 5/7 in this case, into its reciprocal. This means swapping the places of the numerator and denominator.
5/7 reciprocal = 7/5
Step 2- multiply the original first fraction and reciprocal second fraction.
13/14 • 7/5
13 • 7 = 91
14 • 5 = 70
13/14 ÷ 5/7 = 91/70
Step 3- Simplify if possible.
91/70
Since 70 can go into 90, you can turn this into a mixed number.
1 and 21/70
Now simplify 21/70.
Both can be divided by 7.
21 ÷ 7 = 3
70 ÷ 7 = 10
So simplified, 91/70 equals 1 and 3/10.
As a decimal, this is 1.3.
So the answer is c = 1.3, or 1 and 3/10.
Hope this helps :)
Answer:
2 1/3 times as far
Step-by-step explanation:
The ratio of distances is ...
(Monday distance) / (Tuesday distance) = (6 2/9)/(2 2/3)
= (56/9)/(8/3) = (56·3)/(8·9) = 7/3 = 2 1/3
They hiked 2 1/3 times as far on Monday as they did on Tuesday.
