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>
Move the variable to the left-hand side and change its sign
Collect like terms
Divide both sides of the equation by
Write the solution in parametric form
The next to one is
Move the variables to the right-hand side and change their signs
Divide both sides of the equation by
Write the solution in parametric form
U = 7/2 -2v - 1/2w-7/2x, ver,
Wer , xer
Y=18.
All triangles are 180 degrees. The given angle is 108 degrees. 180 - 108 = 72. 72 degrees are left to solve for in the triangle. 72 degrees / the two angles = 36. The angles of the triangle are 108, 36, 36. The 36 degree angle = 2y. 36 / 2 = 18.
Y=18
Answer:
n=48
Step-by-step explanation:
n
_ = 1 6
3
Multiply each side by 3
n/3 * 3 = 16*3
n = 48
Answer:
No solution
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)