Answer:
B
Step-by-step explanation:
We can figure out the initial value and base of an exponential function if the function is written in the form where
a is the initial value, and
b is the base
<u>Note:</u> a ≠ 0 and b ≠ 1
Our equation given can be written in this form by writing it like
Thus, this is an <em>exponential function</em>. The initial value is 1 and the base is 5.
The correct answer is B
The x-intercept and y-intercept are (-3,0) and (0,4/5).
Given,
-3x-4=-5y-8
We need to find the intercept of the line.
<h3>What are intercepts?</h3>
Intercepts are the points at which the line crosses the axis.
There are two intercepts :
x-intercept - the point at which the line crosses the x-axis.
Here, y = 0.
y-intercept - the point at which the line crosses the y-axis.
Here, x = 0.
The line is -3x - 4 = 5y - 8
Put x = 0,
-3 x 0 - 4 = 5y - 8
0 - 4 = 5y - 8
5y = 8 - 4
y = 4 / 5
So,
( 0, 4/5 ) is the point where the line crosses the y-axis.
This is the y-intercept.
Put y = 0,
-3x - 4 = 5y - 8
-3x - 4 = 5 x 0 - 8
-3x - 4 = 0 - 8
-3x - 4 = 8
3x = -8 - 4
3x = -12
x = -12/4
x = -3
( -3, 0 ) is the point where the line crosses the x-axis.
This is the x-intercept.
Thus x-intercept and y-intercept are (-3,0) and (0,4/5).
Learn more about intercept here:
brainly.com/question/14180189
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Volume = base area * height. Base area = πr^2 = 1/4 * π (diameter)^2 = 9π.
Height = volume / base area = 9.6.