-x intercepts: 5, -2
-1/2(x-5)(x+2) is wider than the first equation because the coefficient is smaller
Answer:
f(x) has a larger growth rate
f(x) is always greater than g(x)
Step-by-step explanation:
f(x) = 2/5 x
g(x) = -2x
the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive
therefore the correct true statements are:
f(x) has a larger growth rate, and f(x) is always greater than g(x)
Answer:
Sₙ=3(1/2^n)
Step-by-step explanation:
Notice that in the given series that each term is being multiplied by 1/2, which is our common ratio. 3/2 is the first term because 3*1/2=3/2, so the expression that defines Sₙ is Sₙ=3(1/2^n)
If the pattern continues, so that each term is separated by a distance of 3, then the sequence is given by the recursive rule

From this definition, we can write
in terms of
:




and so on, up to

(notice how the subscript on <em>a</em> and coefficient on 3 add up to <em>n</em>)
or

<h2>
Answer: c.) ¹⁵/₄</h2>
Step-by-step explanation:
If we transpose the equation into the slope-intercept form (y = mx + c), the value of c is the y-intercept.
since x + 4y = 15
then 4y = - x + 15
∴ y = -¹/₄ x + ¹⁵/₄
<h3>⇒ the y-intercept for the line x + 4y = 15 is ¹⁵/₄</h3>