Answer:
<h3>
f(x) = - 4x² - 20x + 56 </h3>
Step-by-step explanation:
f(x) = a(x - x₁)(x - x₂) - factored form of the equation of the parabola with zeros x₁ and x₂
x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7
So:
f(x) = a(x - 2)(x + 7) - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)
The parabola passing through point (1, 32) means if x=1 then f(x)=32
Then:
32 = a(1 - 2)(1 + 7)
32 = a(-1)(8)
32 = - 8a
a = - 4
Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):
<u> f(x) = -4(x - 2)(x + 7) </u>
Expanding to standard form:
f(x) = -4(x - 2)(x + 7)
f(x) = -4(x² + 7x - 2x - 14)
<u> f(x) = -4x² - 20x + 56 </u>
Add em up bro, 600+60+14
pretty sure the answer would be 674
it's like counting your money !
<span>The <u>correct answer</u> is:
An extreme point.
Explanation<span>:
An extreme point is also called a corner point.
An optimal solution to a linear program is the feasible (reasonable) solution with the largest value, for a maximization problem.
Since we want the largest value, the corner point of the solution set would be optimal.
One of the facts of linear programming is that every linear program has an extreme point that is an optimal solution.</span></span>
Answer:
A
Step-by-step explanation:
If digits can be repeated, that means there are 10 options for each place in the pin code. 10*10*10*10 = 10,000
If digits can not be repeated, there are 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit. 10*9*8*7 = 5040
Mixed number form: h = - 1 2/13 Hope that helps :))