(4 – 2i)(6 + 2i)
FOIL
First : 4*6 =24
Outer: 4*2i = 8i
Inner: -2i* 6 = -12i
Last: -2i*2i = -4i^2 =-4(-1) =4
Add together
24+8i-12i+4
28-4i
Answer: 28-4i
Answer:
Step-by-step explanation:
If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):
As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2. Hence, the slope of this lilne is m = rise/run = -2/4, or m = -1/2.
Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:
1 = (-1/2)(0) + b, or b = 1. Then the desired equation is y = f(x) = (-1/2)x + 1
To find t<span>he relative maximum value of the function we need to find where the function has its first derivative equal to 0.
Its first derivative is -7*(2x)/(x^2+5)^2
</span>7*(2x)/(x^2+5)^2 =0 the numerator needs to be eqaul to 0
2x=0
x=0
g(0) = 7/5
The <span>relative maximum value is at the point (0, 7/5).</span>
If these are in mixed fraction then they are in these following fractions:
a. 1 277/1000
b. 3 7/10
c. 2 43/100
d. 1 156/1000
This is just simple, you just have to times the denominator to the whole number and add it to the numerator. You will get the same answer as the given.
Answer:
Null hypothesis: ∪ = $7,000
Step-by-step explanation:
The null hypothesis is a general statement that there is no relationship between two measured instances or no association among groups.
In this case, the sales of a grocery store had an average of $7,000 per day is the null hypothesis. Then the research was carried out to test for the effectiveness of the advertising campaigns in increasing sales.
Thus, this is the alternative hypothesis. The researchers wish to test against the null with regards to the involvement of the advertising campaigns.
Thus, the null hypothesis is just the average sales without the advertising campaigns which is
Null hypothesis: ∪ = $7,000
Alternative hypothesis: ∪ ≠ $7,000