Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
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B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
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C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.
<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
Answer:
I got - 5 as an answer.
I don't think I made a mistake.
Please if you find any error, contact me in the comment section.
Step-by-step explanation:
500 miles / 20 gallons = 25 miles / gallon
25 miles * 18.5 gallons = 462.5 miles / one tank of gas
Answer=8.6c+13
Meg earns $5.40 per car and $5 in tips. Given the information, Meg's earnings can be shown in the expression '5.40c+5'
Rich earned 3.20 per car and $8 in tips. Given the information, Rich's earnings can be shown with the expression '3.20c+8'
Now lets put the expressions together to see how much they made all together...
5.40c+5+3.20c+8
add 5.40c and 3.20c
8.60c+5+8
add 5 and 8
8.60c+13
or
8.6c+13
