A physician's assistant measures a child and finds his height is 41 in.
1 answer:
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Answer:
y = -0.6x^2 + 5x + 6
Step-by-step explanation:
First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.
y = mx + b
15.6 = 3m + 6
9.6 = 3m
m = 3.2
y = 3.2x + 6
y = a(x - 0)(x - 3) + 3.2x + 6
y = a(x)(x - 3) + 3.2x + 6
Finally, substitute 10 for x and -4 for y in the equation above to find a.
-4 = a(10)(10 - 3) + 3.2*10 + 6
-4 = a(10)(7) + 32 + 6
-4 = 70a + 38
-42 = 70a
a = -0.6
Simplify to write in standard form.
y = -0.6(x)(x - 3) + 3.2x + 6
y = -0.6x^2 + 5x + 6
Given :
After 4 days, a plant is measured to be 10 inches tall.
Later, after a total of 20 days, then height is measured to be 18 inches.
To Find :
The rate of growth for the plant.
Solution :
We know, rate is given by :
Therefore, rate of increase of height is 0.5 inch/day .
Hence, this is the required solution.
Answer:
4410 cards, 9 albums
Step-by-step explanation:
Number of cards in a box = 315
Number of boxes = 14
b) Total number of cards = Number of boxes × Number of cards in 1 box
=
a) Carmella estimated she had 3,000 cards so she bought a 6 album of 500 cards.
No, 6 albums are not enough as she estimated wrong number of cards. There are total of 4410 cards but she estimated it to be 3000 cards.
c) Total number of albums required =
Thus, she will require 9 albums to put all her cards.