Answer:
![\frac{4^8-1}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5E8-1%7D%7B32%7D)
Step-by-step explanation:
![h(x)=4^{(x+2)} +7](https://tex.z-dn.net/?f=h%28x%29%3D4%5E%7B%28x%2B2%29%7D%20%2B7)
We know that formula for average rate of change of a function from a to b is
![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Here f equals h and a =-3 b=5
h(a) = ![4^{5+2} +7 = 4^7+7](https://tex.z-dn.net/?f=4%5E%7B5%2B2%7D%20%2B7%20%3D%204%5E7%2B7)
and
h(b) = ![4^{-3+2} +7 = \frac{1}{4} +7](https://tex.z-dn.net/?f=4%5E%7B-3%2B2%7D%20%2B7%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2B7)
h(b)-h(a) =![4^7-\frac{1}{4} =\frac{4^8-1}{4}](https://tex.z-dn.net/?f=4%5E7-%5Cfrac%7B1%7D%7B4%7D%20%3D%5Cfrac%7B4%5E8-1%7D%7B4%7D)
b-a = 5-(-3) =8
Hence average rate of change is
![\frac{4^8-1}{4}(\frac{1}{8} )=\frac{4^8-1}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5E8-1%7D%7B4%7D%28%5Cfrac%7B1%7D%7B8%7D%20%29%3D%5Cfrac%7B4%5E8-1%7D%7B32%7D)
Answer:
1.05(0.85y)
Step-by-step explanation:
15% off so .85y and a 5% tax so 1.05(.85y)
Answer:
£1000, £1400
Step-by-step explanation:
Sum the parts of the ratio 5 + 7 = 12 parts
Divide the amount by 12 to find the value of one part of the ratio.
£2400 ÷ 12 = £200, thus
5 parts = 5 × £200 = £1000
7 parts = 7 × £200 = £1400
The answer is a i think but if u get it wrong im sorry
Answer:
A) 11% B) 60
Step-by-step explanation:
(for A) if you add all the "Frequency" it adds up to 100, so we don't need to do any maths for that because we already have our 100% right there. So less maths to do because if that right there is already the whole, then the frequency of it is the % out of 100%
(for B) If you take your calculator and do 12 x 500, you get 6,000, press the "%" button and it gives you the percent of what that probability of getting 6 after rolling 500 times with its sent frequency
(took me a minute to learn this this for you... by that i mean i messed around with my calculator for like 3 minutes) Hope this is right.