Answer:
To solve this problem, we can use a system of equations.
We know the quadratic expression has the form
Using points (1,12) and (4,0), we can form the following system to find a and b.
We need to divide the second equation by -4 and sum both equations
Then, we use this value to find the other variable
<h3>Therefore, the quadratic function that models the situation is</h3>
or 
According to this expression, after 2 seconds, the height is 16 feet.
Answer:
176 girls
Step-by-step explanation:
31+44 = 75
300/75 = 4
4*44 = 176
176 girls in the school
Answer:
D is false
Step-by-step explanation:
f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:
f(x) = -2x^2 + 4x + 6.
Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex. We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.
Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8. So statement A is true: there's a max at (1, 8). This is also the vertex of the graph.
Let's now look at C and D. We evaluate f(x) at x = 3 and x - 2. If the output (y) value is 0, we know we have an x - intercept:
f(3) = -2(9) + 4(3) + 6 = 0. Yes, C is true, (3, 0) is an x-intercept.
f(-2) = -2(4) - 8 + 6 is not 0. Therefore D is false; (-2, 0) is not an x-intercept.
Look at B: Let x = 0 and find y: it's 6. Thus, (0, 6) is the y-intercept. B is true.
Answer:
8
Step-by-step explanation:
Opposite angles are equal so
4x+12=44
4x=32
x=8
