Let's compare the given function with the model for a quadratic equation:
Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.
The minimum value can be found calculating the y-coordinate of the vertex:
Therefore the minimum value is -24.
To write this in standard form, you need to eliminate the
fraction in the coefficient of variable x. You can do this by multiplying 8 to
the two sides of the equation:
8(y) = 8[(-5/8)x + 3]
8y = -5x + 24
Transpose the variable x to the other side:
5x + 8y = 24
Answer:
X=5
move variable to the left side and change its sign.
move constant to the right side and change its sign
collect like terms x=4+1, add the numbers x=5
Step-by-step explanation:
Answer:
130 gallons initally, losing approx. 1.33333 gallons per minute, will be empty in approx 97.5 min
Step-by-step explanation:
1: y-intercept = (0, 130)
2: take two points (0, 130) & (30, 80)
use slope equation (80 - 130)/ (30 - 0) = -40/30 = -4/3
3: line equation is y=-4/3x+130
make y=0
0=-4/3x+130
-130=-4/3x
-130/-4/3=x
97.5=x
Answer:
t=0.21
Step-by-step explanation:
Given 
and a population mean 
.
#We state our hypothesis as:
The evidence available should validate either the null or alternative hypothesis.
#We calculate the test statistic as:
Hence, the test statistic is t=0.21
