The graph of
![f(x)=-16 t^{2}+80](https://tex.z-dn.net/?f=f%28x%29%3D-16%20t%5E%7B2%7D%2B80%20)
is shown in the graph below.
The graph is of ∩-shape when the constant
![a](https://tex.z-dn.net/?f=a)
of the quadratic equation
![a x^{2} +bx+c](https://tex.z-dn.net/?f=a%20x%5E%7B2%7D%20%2Bbx%2Bc)
is negative
Answer:
36
Step-by-step explanation:
Flip your eq. x/3 + 6 = 18.
Solve (Number on one, variable on other)
+6 -6 = 0. 18-6=12.
Multiply.
12 * 3 = 36.
Answer:
Company needs to sell at least 34 tickets in order to make a profit.
Step-by-step explanation:
Given:
Rent for the space = $300
Cost per tickets = $9
Let the number of tickets sold be 'x'
We need to find the least number of tickets to be sold to make profit
Now total profit can be made if amount which is made after selling number of tickets is greater than 300.
Hence the equation can be framed as,
![9x\geq300](https://tex.z-dn.net/?f=9x%5Cgeq300)
Solving the equation to find the value of x we get;
We will use Division property and divide both side by 9 we get;
![\frac{9x}{9}\geq\frac{300}{9}\\\\x\geq33.33](https://tex.z-dn.net/?f=%5Cfrac%7B9x%7D%7B9%7D%5Cgeq%5Cfrac%7B300%7D%7B9%7D%5C%5C%5C%5Cx%5Cgeq33.33)
Tickets which need to be sell cannot be in point value hence rounding to whole number we get;
![x\geq34](https://tex.z-dn.net/?f=x%5Cgeq34)
Hence Company needs to sell at least 34 tickets in order to make a profit.
Answer:
4 2/7 - 6/7 = 24/
7
= 3 3/
7
Step-by-step explanation:
Conversion a mixed number 4 2/
7
to a improper fraction: 4 2/7 = 4 2/
7
= 4 · 7 + 2/
7
= 28 + 2/
7
= 30/
7
To find a new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/
7
= 28/
7
b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30
c) Write a previous answer (new numerator 30) over the denominator 7.
Four and two sevenths is thirty sevenths
Subtract: 30/
7
- 6/
7
= 30 - 6/
7
= 24/
7
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirty sevenths minus six sevenths = twenty-four sevenths.