A and c
step-by-step explanation
Answer:
x = -1
Step-by-step explanation:
9514 1404 393
Answer:
6 h
Step-by-step explanation:
The bottom number in the table is half the top number. The missing value is 6 (hours).
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I like to put the variable in the numerator of a proportion. Here, we can write it as ...
t/12 = 45/90
Multiplying by 12 gives ...
t = 12(45/90) = 12(1/2) = 6
It will take Darin 6 hours to mow 12 lawns.
Answer:
The rate of change was 3.5 degrees / h.
Step-by-step explanation:
In order to calculate the rate of change we need to divide the variation of temperature by the variation of time. Since the time is given to us in a 12 h format (am/pm), we first need to convert it to 24 h. To do that we sum the time that is "pm" by 12, we have:
time2 = 3 + 12 = 15
Therefore the rate of change in temperature is:
rate = variation of temp / variation of time
rate = (temp final - temp init) / (time final - time init)
rate = (82 - 54) / (15 - 7) = 28 / 8 = 3.5 degrees / h
The rate of change was 3.5 degrees / h.
The value of the discriminant for the quadratic equation –3 = –x2 + 2x is 16
<h3>What is the value of the discriminant for the
quadratic equation?</h3>
The quadratic equation is given as:
–3 = –x^2 + 2x
Rewrite the equation as:
x^2 - 2x - 3 = 0
A quadratic equation is represented as;
ax^2 + bx + c = 0
So, we have
a = 1
b = -2
c = -3
The discriminant is
d = b^2 - 4ac
So, we have
d = (-2)^2 - 4 * 1 * -3
Evaluate
d = 16
Hence, the value of the discriminant for the quadratic equation –3 = –x2 + 2x is 16
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