one a windy moring a hot air balloon starts ascending and flying away from the too of a hill the alritude h(x) in feet of the ba
1 answer:
The greatest common factor of all the coefficients is of 8.
<h3>What is the greatest common factor?</h3>The greatest common factor between multiple terms is the largest value for which all terms are divisible.
In this problem, the equation is:
The terms are 16, 56 and 96. Hence, to find the gcf, we have to keep factoring them by prime factors while all can be factored by the same value, hence:
16 - 56 - 96|2
8 - 28 - 48|2
4 - 14 - 24|2
1 - 7 - 12
There are no terms by which both 7 and 12 are divisible, hence the procedure is stopped and:
gcf(16, 56, 96) = 2³ = 8.
You can learn more about the greatest common factor at brainly.com/question/26140769
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well, about A and D, I just plugged the values on the slope formula of
for A the values are 8.01 and 8.0, so indeed those "slopes" are close.
for D the values are -2.25 and 8.0, so no dice on that one.
for B, let's check the y-intercept for g(x), by setting x = 0, we end up g(0) = 0³-4(0)+1, which gives us g(0) = 1.
checking L(x) y-intercept, well, L(x) is in slope-intercept form, thus the +1 sticking out on the far right is the y-intercept, so, dice.
for C, well, the slope if L(x) is 8, since it's in slope-intercept form, the derivative of g(x) is g'(x) = 3x² - 4, and thus g'(0) = -4, so no dice.
for E, do they intercept at (2,1)? well, come on now, L(x) is a tangent line to g(x), so that's a must for a tangent.
for F, we know the slope of the line L(x) is 8, is g'(2) = 8? let's check
recall that g'(x) = 3x² - 4, so g'(2) = 3(2)² - 4, meaning g'(2) = 8, so, dice.