Answer:
Vertex → (2, 4)
Step-by-step explanation:
Quadratic equation has been given as,
y = -x² + 4x
We rewrite this equation in the form of a function as,
f(x) = - x² + 4x
By comparing this equation with the standard quadratic equation,
y = ax² + bx + c
a = -1 and b = 4
Vertex of the parabola represented by this equation is given by ![[-\frac{b}{2a}, f(\frac{-b}{2a})]](https://tex.z-dn.net/?f=%5B-%5Cfrac%7Bb%7D%7B2a%7D%2C%20f%28%5Cfrac%7B-b%7D%7B2a%7D%29%5D)
x coordinate = 
= 2
y-coordinate = f(2)
= - (2)² + 4(2)
= -4 + 8
= 4
Therefore, vertex of the given function is (2, 4)
Answer:
<em>There's an infinite number of possible answers because there might be any multiplication of 3 for boys and any multiplication of 2 for girls. So, for example:</em>
<em>There might be 3 boys and 2 girls.</em>
<em>There might be 6 boys and 4 girls.</em>
<em>There might be 9 boys and 6 girls.</em>
<em>There might be 12 boys and 8 girls.</em>
<em>etc...</em>
<em>In each case the ratio stays the same - 3 : 2.</em>
<em>Of course there probably can't be more than a few dozens of people in one class, but theoretically we can raise the numbers up to infinite.</em>
Step-by-step explanation:<em>hope this help.</em>
Answer:
A. 15,840 feet
Step-by-step explanation:
1 mile = 5,280 feet (I think "five tomatoes" is helpful: five tomatoes --> five-two-eight-oh)
multiply both sides of equation by 3: 1 * 3 = 5,280 * 3
simplify: 3 miles = 15,840 feet, which means A is the answer
Answer:
y = -3x - 8.3
Step-by-step explanation:
You need to rearrange 9x + 3y = -22 in the form y = mx+c.
9x+3y = -22
3y = -9x - 22
y = -3x - 7.3
As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.
Final answer : y = -3x - 8.3
$3492/$36=
97 senior students who have paid for the trip
