The function 
is a quadratic function due to the highest exponent being 2.
Given functions are:
<h3>What is a quadratic function?</h3>
A function of the form 
with 
is called a quadratic function means the highest exponent of polynomial should be 2.
Let us check one by one.
Highest exponent =2
The function is also of form so u(x) is a quadratic function.
The functions v(x), y(x), and z(x) are having highest exponents as 3,5, and 3 respectively so they are not quadratic functions.
Hence, the function is a quadratic function due to the highest exponent being 2.
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Answer:
Step-by-step explanation:
We have the exponential function of the form:
And it goes through the points (0, 13) and (3, 832).
Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:
Since anything to the zeroth power is 1, this yields:
So, we determined that the value of a is 13.
So, our function is now:
We will need to determine b. We know that y equals 832 when x is 3. Hence:
Divide both sides by 13:
Take the cube root of both sides:
Hence, our b value is 4.
Therefore, our entire equation is:
1a 2.5 characters per second
1b 3 characters per second
1c 3.5 characters per second
1d s = 2 + 0.5m
2a 8 = 2 +0.5m
6=0.5 m
m=12
2b the final speed James wants is 8 cps. sub that in for s. we want to know m. first, subtract 2 from both sides to get 6. then, divide by 0.5, which is 1/2 as a fraction. In order to divide a number by a fraction, you need to invert the fraction and switch operations from division to multiplication. It becomes 2/1 * 6 = 12.
3a 10 r +4 = 8
10r =4
r =4/10=2/5
3b. In this equation, r could be the increase in amount of characters that Lydia can type per second.
4. John buys a small tree that is 5 inches tall. Each month, this tree grows 8 inches. How long will it take for the tree to reach 37 inches in height?
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I think it’s how many weekdays he’s practiced soccer so it’d be 30x x being the number of days!
Answer:
A. 
Step-by-step explanation:
Given:
Volume of the cylindrical container before dilation, 
Scale factor of the dilation, 
Therefore, the volume of the dilated cylinder is given as:
Plug in 1 gal for 
and 
for SF. Solve for 
. This gives,
Therefore, the volume of the dilated cylinder is gallons.
