Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.
<h3>What is an exponential function?</h3>
It is modeled by:

In which:
- b is the rate of change, as a decimal.
In this problem, we have that f(-1)=5, hence:


a = 5b
We also have that f(7)=32, hence:

Since a = 5b:

![b = \sqrt[8]{\frac{32}{5}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B8%5D%7B%5Cfrac%7B32%7D%7B5%7D%7D)
b = 1.2612.
a = 5b = 5 x 1.2612 = 6.306.
Hence the function is given by:

Then, when x = 4, we have that:

More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
12 ÷ –6, –12 ÷ 6, 6 ÷ –3, –6 ÷ 3
Step-by-step explanation:
Ignore the negative signs. If their quotient is 2 and only 1 of the 2 numbers have a negative sign, they make -2.
Step-by-step explanation:
Given:
AD is the bisector of ∠BAC
∠CPD = ∠BPD
1) ∠CAP = ∠BAP
Reason: definition of angle bisector
2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB
Reason: definition of supplementary angles
3) 180 − ∠APC = 180 − ∠APB
Reason: substitution
4) ∠APC = ∠APB
Reason: algebra
5) AP = AP
Reason: reflexive property
6) ΔAPC ≅ ΔAPB
Reason: ASA congruence
It takes 2 weeks because you gotta see what epuals to it.
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation: