<h2>Writing an Exponential Function given the Table</h2><h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
Given:
The most basic form to write an exponential function is . Where is when . We can see from the given Table of Values that at , . So, . The is the common ratio and can be calculated by , where is when .
Solving for the Common Ratio:
Now we know what and are. We can finally write the equation of the exponential function depicted by the table.
The equation is
Answer:
C. 49 sq units
Step-by-step explanation:
Area of a triangle is
A = 1/2bh
base is 14 and height is 7
14 * 1/2 is 7
7*7 = 49
We know that this ratio is directly because the two magnitudes go up.
In this case we will get the <u>proportionality constant</u> by dividing any term of the second magnitude by the first.
<h3>For example: </h3>
Now that we know that k = 3, we can know how much "<u>y</u>" will be if <em>x = 5</em>.
We just multiply:
<h3>Answer: <u>y = 15</u></h3>
Answer:
see explanation
Step-by-step explanation:
step 4 take the square root of both sides
= ±
x + 4 = ±
step 5 subtract 4 from both sides
x = - 4 ±
step 6 solve for x
x = - 4 - or x = - 4 +
Answer:
192π square units
Step-by-step explanation:
The volume of a cylinder is π*r^2*h. Think of it as the area of the circle base, which is πr^2, times the height, h.
with r=4 and h=12,
The answer is π*4^2*12=16*12π=192π