Answer:
inequality: 24 + x ≤ 64. x = 40
Step-by-step explanation:
8 cups = 64 ounces
Larry needs to drink 40 more ounces because 64 - 24 = 40
Answer: there you go
Step-by-step explanation:
Answer:
Step-by-step explanation:
The mean is the sum of the allowances divided by the number of students.
Step-by-step explanation:
Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.
Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.
=> (0) = a[(40) - 10]² + 30
=> 900a + 30 = 0, a = -1/30.
Hence the rule is y = -(x - 10)²/30 + 30.
Answer: 10 inches.
Step-by-step explanation:
We have to solve a system of equations.
The formula to calculate a triangle area is A = (b.h)/2
where b is the base and h is the height. This will be our first equation.
Since the height is 4 inches greater than the base, the second equation will be: h = b+4
We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:
70 = (b . (b+4)) / 2
70 . 2 = b² + 4b
140 = b² +4b
0 = b² + 4b - 140
The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.
