Answer: 80, 1/12, 5/6
Step-by-step explanation:
Answer:
Step-by-step explanation:
I will ASSUME you mean y = 3x² at x = 2
The derivative of an equation is the slope the curve at any given point
y' = 6x
so our line slope at x = 2 is 6(2) = 12
at x = 2, y = 3(2²) = 12
so (2, 12) is a point on the line (the point of tangency)
plugging into our slope equation
y = 12x + b
12 = 12(2) + b
b = -12
So the equation of the line tangent to y = 3x² at x = 2 is
y = 12x - 12
Answer:
5 cats, 1 fish and 94 birds
Step-by-step explanation:
Let
- c be the number of cats;
- b be the number of birds;
- f be the number of fish.
A kid bought 100 toy animals, then
If a cat costs $10.00, then c cats cost $10c.
If a fish costs $3.00, then f fish cost $3f.
If a bird costs $0.50, then b birds cost $0.5b.
In total,
We get the system of two equations:
From the first equation:
Substitute it into the second equation:
Number f must be a whole number greater than 0, so
Number c must be a multiple of 5, thus the only possible value for c is 5.
When c = 5, then
Answer:
Z = 0.75x + 0.25y
Step-by-step explanation:
Two bear types are identified :
Black bears and Grizzly bears
9 out of 12 = black bears ; Hence, 3 are grizzled
For the model:
For a bear population of Number x
Total bear population = black bear, x + grizzled bear, y
Proportion of black bear = 9/ 12 = 0.75
Grizzled bear = 1 - 0.75 = 0.25
Total bear population , Z= 0.75x + 0.25y
Hence,
Z = 0.75x + 0.25y
