Answer:
Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as
where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40
substitute
apply distributive property
see the attached figure to better understand the problem
Answer:
<h2>288 ft³</h2>
Step-by-step explanation:
The formula of a volume of a prism:
where
<em>B</em><em> - area of a base</em>
<em>H</em><em> - height of a prism</em>
<em />
In the base we have the right treiangle. The formula of an area of a right triangle is:
where
<em>a, b</em><em> - are legs</em>
We have
Substitute:
Calculate the volume.
Substitute
Answer:
1
Step-by-step explanation:
Anything to the power of 0 equals to 1
Since this is 3 to the power of 0, it will equal to 1
The width is 3.5 feet
the length is 9 feet
To figure out the total amount of hours an employee works, we have to multiply the total amount of employees by the amount of hours each employee would work.
To simplify the mixed fraction of hours they work, convert the mixed fraction into an improper fraction:
Multiply the whole number by the denominator:
Add this number to the numerator to convert the mixed fraction into an improper fraction:
Now we can multiply the two numbers together (note that a whole number can be treated as the number above the denominator 1):
5 employees working 94/15 hours a day:
To simplify this fraction, divide the numerator by the denominator:
The whole number stays as a number, and the remainder is the new numerator:
The fraction can be further simplified by dividing both the numerator and denominator by the greatest common factor:
Factors of 5: {1,
5}
Factors of 15: {1,3,
5,15}
The 5 employees will work a total of
31 and 1/3 hours a day.
