So your equation is currently in point-slope form; however, to figure out the slope and y-intercept, you'd be better off in slope-intercept form: y = mx + b
while in point-slope form, y - y1 = m(x - x1), you can definitely see the slope as -5, you can't see the y-intercept as easily. x-intercepts are actually the solutions/zeros of a function, and it was included in the answer choices to confuse you.
you're correct about -5 being a decreasing slope. but to figure out the y-intercept, you need to convert to slope-intercept form.
y - 4 = -5(x + 1) ... distribute the -5
y - 4 = -5x - 5 ... add 4
y = -5x - 1
and in the form of y = mx + b, where m is the slope and b is the y-intercept, you can see that you have a decreasing slope of -5 and a y-intercept of -1. your correct answer is A. choices C and D were thrown in to distract you and make you think that the -5(x + 1) was somehow related to discovering the x-intercept.
=(D-64)2
We move all terms to the left:
-((D-64)2)=0
We calculate terms in parentheses: -((D-64)2), so:
(D-64)2
We multiply parentheses
2D-128
Back to the equation:
-(2D-128)
We get rid of parentheses
-2D+128=0
We move all terms containing D to the left, all other terms to the right
-2D=-128
D=-128/-2
D=+64
We can first calculate all the possible sums and then determine the set of possible outcomes.
Possible sums are:
1+2 = 3
1+4 = 5
1+6 = 7
1+8 = 9
2+2 = 4
2+4 = 6
2+6 = 8
2+8 = 10
3+2 = 6
3+4 = 7
3+6 = 9
3+8 = 11
4+2 = 6
4+4 = 8
4+6 = 10
4+8 = 12
From the above possibilities, the outputs would belong to the set:
<span>{3, 4, 5, 6, 7, 8, 9, 10, 11, 12}</span>
Answer:
71.5
Step-by-step explanation:
Mean = Sum of data values/How many data values
65+75+64+20+80+125= 429
There are 6 data values in this data set.
429/6 = 71.5
Mean=71.5
