Answer: The correct option is A.
Explanation:
The given equation is,

Multiply both sides by 2.
![2[4(x+5)-5]=\frac{8x+18}{2}](https://tex.z-dn.net/?f=2%5B4%28x%2B5%29-5%5D%3D%5Cfrac%7B8x%2B18%7D%7B2%7D)



Subtract both sides by 8x.

This statement is false for any value of x, therefore the system of equation have no solution and option A is correct.
Answer:
range is 9
Step-by-step explanation:
Answer:
Population mean = 7 ± 2.306 × 
Step-by-step explanation:
Given - A university researcher wants to estimate the mean number
of novels that seniors read during their time in college. An exit
survey was conducted with a random sample of 9 seniors. The
sample mean was 7 novels with standard deviation 2.29 novels.
To find - Assuming that all conditions for conducting inference have
been met, which of the following is a 94.645% confidence
interval for the population mean number of novels read by
all seniors?
Proof -
Given that,
Mean ,x⁻ = 7
Standard deviation, s = 2.29
Size, n = 9
Now,
Degrees of freedom = df
= n - 1
= 9 - 1
= 8
⇒Degrees of freedom = 8
Now,
At 94.645% confidence level
α = 1 - 94.645%
=1 - 0.94645
=0.05355 ≈ 0.05
⇒α = 0.5
Now,

= 0.025
Then,
= 2.306
∴ we get
Population mean = x⁻ ±
×
= 7 ± 2.306 × 
⇒Population mean = 7 ± 2.306 × 
Answer:
±i
Step-by-step explanation:
Observing that the first two coefficients are the same as the last two, we can factor this function by grouping.
f(x) = (x^3 -7x^2) +(x -7) = x^2(x -7) +1(x -7)
f(x) = (x^2 +1)(x -7)
The factor x-7 has a real zero at x=7, so the complex zeros come from the quadratic factor (x^2 +1).
Setting that to zero and solving for x, we find ...
x^2 +1 = 0
x^2 = -1
x = ±√(-1) = ±i
The complex zeros are x = +i and x = -i.