Answer:
(6,-34)
Step-by-step explanation:
You can use the vertex formula to find the x of the vertex and then plugin the x value into the formula to find the y value.
Now plugin 6 into y=x²-12x+2
y=x²-12x+2
y=6²-12(6)+2
y=36-72+2
y=36-72+2
y = -34
Vertex = (6,-34)
The correct answer is B. Multiply input number by 4
Answer:
0.98
Step-by-step explanation:
Work Shown:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.13 + 0.85 - 0
P(A or B) = 0.98
Note that P(A and B) is 0. This is because we are told A and B are mutually exclusive events. This means both events cannot happen simultaneously. An example would be flipping a coin to have it land on heads and tails at the same time.
Answer:
$9.12
Step-by-step explanation:
Decimal places are:
0.0 --> Tenths
0.00 --> Hundredths
0.000 --> Thousandths
etc.
Therefore we need to round the decimal to 2 decimal places...
9.123 --> 9.12 (The number rounds down if the number after it is between 1 and 4 and it rounds up if the number after it is between 5 and 9. In this scenario the number after it is "3" therefore it rounds down)
<span>In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
The short leg is </span>the side opposite the 30 degree angle. If the short leg =x, then the hypotenuse = 2x
The ratio of the short leg to the hypotenuse in the given triangle is cos(60°)
Answer is C. 1:2
