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2 years ago

If f(x) is an exponential function where f(4) =17 and f (12.5) = 31, then find the value of f(18.5), to the nearest hundredth.

1 answer:

7 0

Solution: f(18.5)=31.47

Step by step solution:
I started by making an equation in slope intercept form- I found the slope, 28/17, with the points (4, 17) and (12.5, 31). Then I found the y intercept, 1, with the point (4, 17). So the equation is y=28/17x+1. Then I just plugged 18.5 where the x is and solved for y

28/17(18.5)+1=y
28/17(37/2)+1=y
1036/34+1= y
30.47+1=y
y=31.47

Keep in mind that 1036/34 is not exactly 30.47 but that 30.47 was rounded to the nearest hundredth

Hope this helps :)

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Find the a26 arithmetic sequence: -15,-35,-55,-75 -515 460 -490

Vlad [161]

Step-by-step explanation:

<h3>QUESTION:-</h3>

Find 26th term of the A.P --15,-35,-55,-75...

<h3>Solution:-</h3>

First term=a=-15

Common Difference=d=-20

We know that

$\boxed{\sf a_n=a+(n-1)d}$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(26-1)(-20)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+25(-20)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(-500)$

$\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15-500$

$\\ \:\:\:\:\sf {:}\dashrightarrow {\boxed{\bf a_{26}=-515}}$

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3 years ago

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1,2 4 ,8

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Hope that helped!

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3 years ago

Solve for n: -6(n -8) = 4(12 -5n) + 14n.

Alexxx [7]

Answer:

infinite solutions

Step-by-step explanation:

Given

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- 6n + 48 = 48 - 20n + 14n, that is

- 6n + 48 = 48 - 6n ( add 6n to both sides )

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This indicates that the equation is true for any value of n

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4 years ago

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Yuki888 [10]

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4 years ago

In Exercise,find the horizontal asymptote of the graph of the function. f(x) = 8x^3+2/2x^3+x

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Answer:

Horizontal asymptote of the graph of the function f(x) = (8x^3+2)/(2x^3+x) is at y=4

Step-by-step explanation:

I attached the graph of the function.

Graphically, it can be seen that the horizontal asymptote of the graph of the function is at y=4. There is also a vertical asymptote at x=0

When denominator's degree (3) is the same as the nominator's degree (3) then the horizontal asymptote is at (numerator's leading coefficient (8) divided by denominator's lading coefficient (2)) $y=\frac{8}{2}=4$

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3 years ago