your going fail?! ill help itis 6
Step-by-step explanation:
Step 1
Given;
![w=\frac{p-4i}{2-3i}](https://tex.z-dn.net/?f=w%3D%5Cfrac%7Bp-4i%7D%7B2-3i%7D)
Required; To express w in the form of a+bi.
Step 2
Express w in the form of a+bi
Multiply the numerator and the denominator by the binomial conjugate of (2-3i)
The binomial conjugate of (2-3i) = (2+3i)
![w=(\frac{p-4i}{2-3i})\times(\frac{2+3i}{2+3i})=\frac{2p+3pi-8i-12i^2}{4+6i-6i-9i^2}](https://tex.z-dn.net/?f=w%3D%28%5Cfrac%7Bp-4i%7D%7B2-3i%7D%29%5Ctimes%28%5Cfrac%7B2%2B3i%7D%7B2%2B3i%7D%29%3D%5Cfrac%7B2p%2B3pi-8i-12i%5E2%7D%7B4%2B6i-6i-9i%5E2%7D)
![\begin{gathered} w=\frac{2p+3pi-8i-12(-1)}{4-9(-1)} \\ \text{Note; i}^2=(\sqrt[]{-1})^2=-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20w%3D%5Cfrac%7B2p%2B3pi-8i-12%28-1%29%7D%7B4-9%28-1%29%7D%20%5C%5C%20%5Ctext%7BNote%3B%20i%7D%5E2%3D%28%5Csqrt%5B%5D%7B-1%7D%29%5E2%3D-1%20%5Cend%7Bgathered%7D)
![\begin{gathered} w=\frac{2p+3pi-8i+12}{4+9}=\frac{2p+3pi-8i+12}{13} \\ w=\frac{(2p+12)+(3p-8)i}{13} \\ w=\frac{(2p+12)}{13}+\frac{(3p-8)i}{13} \\ w=\frac{2(p+6)}{13}+\frac{(3p-8)i}{13} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20w%3D%5Cfrac%7B2p%2B3pi-8i%2B12%7D%7B4%2B9%7D%3D%5Cfrac%7B2p%2B3pi-8i%2B12%7D%7B13%7D%20%5C%5C%20w%3D%5Cfrac%7B%282p%2B12%29%2B%283p-8%29i%7D%7B13%7D%20%5C%5C%20w%3D%5Cfrac%7B%282p%2B12%29%7D%7B13%7D%2B%5Cfrac%7B%283p-8%29i%7D%7B13%7D%20%5C%5C%20w%3D%5Cfrac%7B2%28p%2B6%29%7D%7B13%7D%2B%5Cfrac%7B%283p-8%29i%7D%7B13%7D%20%5Cend%7Bgathered%7D)
where;
Answer:
Neal
Step-by-step explanation:
13.01 < 13.89
The graphs model exponential functions will remain positive. Then the correct options are A and D.
<h3>What is an exponent?</h3>
Let a be the initial value and x be the power of the exponent function and b be the increasing factor. The exponent is given as
y = a(b)ˣ
If the initial value a is positive and x is positive, then the graph of the exponent function will approach infinity as x increases.
If the initial value a is positive and x is negative, then the graph of the exponent function will approach zero as x increases.
The graphs model exponential functions will remain positive.
Then the correct options are A and D.
More about the exponent link is given below.
brainly.com/question/5497425
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