The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.
<h3>How to calculate the domain of the function?</h3>
In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:
0= -4.87t² + 18.75t.
4.87t(-t + 3.85) = 0
t = 0 or t = 3.85.
Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).
<h3>How to calculate the range of the function?</h3>
h(t) = -4.87t² + 18.75t
h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)
h(t) = -4.87(t - 1.925)² + 18.05
Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).
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Answer: 0.98 cents
Step-by-step explanation:
First you want to get the amount of apples to one pound.
3.5 to 1
3.5 divided by 3.5 equals to one.
Now you need to o the same thing to the cost
3.43 divided by 3.5
= 0.98
since we are talking money it would be 0.98 cents
Answer:
The standard form of quadratic equation is 
The factored form of
is 
Step-by-step explanation:
Given equation 
We have to write in standard form and then factorize the given equation.
The standard form for a general quadratic equation is given as 
Consider
Taking all terms to left side, we have,

Adding like terms, we have,

Now we will factorize it.
We will solve the quadratic equation
using middle term splitting method,
-16x can be written as -18x+2x
becomes

Taking x common from first two terms and 2 common from last two terms we have,


Thus, the factored form of
is 
Answer:The answer is 130
Step-by-step explanation:
The pair of equations:
y = x + 4
y = -2x - 2
To solve the system of equation by substitution, you would substitute one variable for it's equivalent expression. Combining the pair of equations into one equation in only one variable. The easiest way to do this is by substituting out the variable y because it is already alone on one side of the equal sign. Substitute the y in the second equation for: x+4
x+4 = -2x - 2
solve for x
x + 2x = -2 -4
3x = -6
x = -2
now use the value for x to find y by putting into either equation.
y = x + 4
y = (-2) + 4
y = 2
solution is: (-2, 2)