I can answer the slopes
Answer:
1. would have a slope of 2
2. would have a slope of -1.66
3.would have a slope of 0
4. would have a slope of -13
Step-by-step explanation:
(Y2 - Y1) / (X2 -X1)
1. (9-5) / (4-2) = 4 / 2 =2
2. (-5-5) / (3 - -3) = -10 / 6 = 1.66
3. (2 - 2) / (5 - -4) = 0 / 9 = 0
4. (-7 - 6) / (3 - 3) = -13 / 0 = -13
Answer:
70,900
Step-by-step explanation:
Answer: choice C, y = 0.014x+0.85
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Explanation:
Each column of the table represents an (x,y) pair of values
x = number of pages
y = cost
If we look at the first two columns, we see the two points (50,1.55) and (100,2.25). The x value is listed first. Let's compute the slope of the line through these two points
m = (y2-y1)/(x2-x1)
m = (2.25-1.55)/(100-50)
m = 0.7/50
m = 0.014
So far, we see the answer is between A,B or C as they have the slope of 0.014
Use this slope value, and one of the points -- say (x,y) = (50,1.55) -- to find the y intercept b
y = mx+b
y = 0.014x+b .... plug in the slope found earlier
1.55 = 0.014*50+b ... plug in the point (x,y) = (50,1.55)
1.55 = 0.7+b
1.55-0.7 = 0.7+b-0.7 ... subtract 0.7 from both sides
0.85 = b
b = 0.85
With m = 0.014 as the slope and b = 0.85 as the y intercept, we can say that y = mx+b turns into y = 0.014x+0.85. That narrows the answer down to choice C.
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
Answer:
9/4
Step-by-step explanation:
This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4
you get a answer of
9/4 in fraction form
2.25 in decimal form
2 1/4 in mixed fraction form
