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3 years ago

Write and exponential function in the form y=ab^x that goes through points (0,17) and (5,4131)

Mathematics

1 answer:

zmey [24]3 years ago

7 0

Answer:

$y = 17(3^{x} )$

Step-by-step explanation:

When x = 0, y = 17 So, $17 = kb^{0} = k(1) = k$

Now, $y = 17b^{x}$

When x = 5, y = 4131 So, $4131 = 17b^{5}$

$b^{5} = 4131/17 = 243 = 3^{5}$

b = 3

Therefore, $y = 17(3^{x} )$

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3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

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In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and