Hello from MrBillDoesMath!
Answer:
y = (2/3)x + 16
Discussion:
Given line:
2x - 3y = 6 => add 3y to both sides
2x = 6 + 3y => subtract 6 from both sides
2x -6 = 3y => divide both sides by 3
y =(2/3)x - 2
The slope of this line, m, (2/3) and any line parallel to the given line has the same slope. We are looking for the line with slope (2/3) passing through (-6, 12)
y = (2/3)x + b => substitute (x,y) = (-6, 12) in the equation
12 = (2/3)(-6) + b => add (2/3)(6) = 12/3 = 4
12 + 4 = (2/3)(-6) + (2/3)(6) + b => as (2/3)(-6) + (2/3)(6) = 0
12 +4 = 0 + b =>
b = 16
Hence the equation of the parallel line through ( -6,12) is
y = mx + b
=(2/3)x + 16
Check: is (-6,12) on this line? Does 12 = (2/3)(-6) + 16 = -4 + 16 = 12? Yes!
Thank you,
MrB
They tell you that the first term is 7 so that cancels out the last answer choice immediately. Then they tell you that each term is multiplied by 4 so when you multiply 7x4 you get 28. This cancels out the second to last answer. Then keep multiplying by 4. 28x4 is 112. 112x4 is 448.
Therefore, the obvious answer is the first choice!
<span>7, 28, 112, 448</span>
Answer:
Class A costs $41 per class so to have a greater value than B you have to attend the class 2 times.
Step-by-step explanation:
41*2= $82
Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean (
).
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean 
to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an within 1.4 , it means that
Divide boths ides by 3 , we get
Hence, So must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an within 1.4 point of μ .
The degree of the polynomial function f is the number of zeros function f has.
The remaining zeros of the polynomial function are -i, 4 + i and 2 - i
<h3>How to determine the remaining zeros</h3>
The degrees of the polynomial is given as;
Degree = 6
The zeros are given as:
i, 4-i,2+i
The above numbers are complex numbers.
This means that, their conjugates are also zeros of the polynomial
Their conjugates are -i, 4 + i and 2 - i
Hence, the remaining zeros of the polynomial function are -i, 4 + i and 2 - i
Read more about polynomials at:
brainly.com/question/4142886
