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Volgvan
3 years ago
12

Students observing a caterpillar crawl on a tree noticed that the caterpillar crawled upwards 38 of an inch every minute. The ca

terpillar was already 4.5 feet off the ground when the students began observing.
Which function represents the total number of inches the caterpillar crawls after x minutes?

f(x) = 4.5x + 3/8

f(x) = 54x + 3/8

f(x( = 3/8x + 54

f(x) = 3/8x + 4.5
Mathematics
2 answers:
stira [4]3 years ago
8 0

Answer: Third Option

f(x) = \frac{3}{8}x + 54

Step-by-step explanation:

We want to propose an equation that models the distance traveled by the caterpillar as a function of time, we have a constant initial quantity of 4.5 feet and then we know that every minute the caterpillar advances 3/8 of an inch

Then the distance that the caterpillar to advanced after x minutes is:

f(x) = \frac{3}{8}x

Then we know that initially the caterpillar was at a distance of 4.5 feet or 54 inch

Then the equation for the distance in inch is:

f(x) = \frac{3}{8}x + 54

Luda [366]3 years ago
5 0

Answer:

f(x) = 4.5x + 3/8

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Quadratics need help making parabola
timama [110]

Answer:

The equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4, whose real vertex is (x,y) = (2, -5.333), not (x,y) = (2, -5).

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

(x_{1}, y_{1}) = (-2, 0), (x_{2}, y_{2}) = (6, 0), (x_{3}, y_{3}) = (0, -4)

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

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c = -4 (3)

The solution of this system is: a = \frac{1}{3}, b = - \frac{4}{3}, c = -4. Hence, the equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4. Lastly, we must check if (x,y) = (2, -5) belongs to the function. If we know that x = 2, then the value of y is:

y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4

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(x,y) = (2, -5) does not belong to the function, the real point is (x,y) = (2, -5.333).

5 0
3 years ago
Help pls <br> what is the slope intercept of (3,5) and (2,1)
Montano1993 [528]
M=1-5/2-3=-4/-1=4
M=4
(3,5)
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Step-by-step explanation:

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