5(2x - 4) = 45
10x - 20 = 45
10x = 45 + 20
10x = 65
x = 65/10 reduces to 13/2 or 6 1/2
Answer:
![f(x) =\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%5Csqrt%5B3%5D%7Bx%7D)
Step-by-step explanation:
Hello!
Considering the parent function, as the most simple function that preserves the definition. Let's take the function given:
![g(x) = \sqrt[3]{x-5}+7](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx-5%7D%2B7)
To have the the parent function, we must find the parent one, let's call it by f(x).
![f(x) =\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%5Csqrt%5B3%5D%7Bx%7D)
This function satisfies the Domain of the given one, because the Domain is still
and the range as well.
Check below a graphical approach of those. The upper one is g(x) and the lower f(x), its parent one.
Answer:
y+2= -4(x-8)
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
you break the number up into pieces that fit each problem
Answer:
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the all voters are democrats
The probability that the all voters are democrats
p = 47% =0.47
q = 1-p =1-0.47 = 0.53
<u><em>Step(ii):-</em></u>
Let 'X' be the random variable in binomial distribution
![P(X=r) = n_{C_{r} } p^{r} q^{n-r}](https://tex.z-dn.net/?f=P%28X%3Dr%29%20%3D%20n_%7BC_%7Br%7D%20%7D%20p%5E%7Br%7D%20q%5E%7Bn-r%7D)
The probability that the all three votes are Democrats
P(X=3) = 0.1038
n=3 and r=3
![P(X=3) = 3_{C_{3} } (0.47)^{3} (0.53)^{3-3}](https://tex.z-dn.net/?f=P%28X%3D3%29%20%3D%203_%7BC_%7B3%7D%20%7D%20%280.47%29%5E%7B3%7D%20%280.53%29%5E%7B3-3%7D)
![P(X=3) = 1 (0.47)^{3}](https://tex.z-dn.net/?f=P%28X%3D3%29%20%3D%201%20%280.47%29%5E%7B3%7D)
P(X=3) = 0.1038
<u>Final answer:-</u>
The probability that the all three votes are Democrats
P(X=3) = 0.1038
<u></u>