Answer:
x = 1 ±2sqrt(5)
Step-by-step explanation:
2x^2-4x-9=29
Add 9 to each each side
2x^2-4x-9+9=29+9
2x^2-4x=38
Divide by 2
2/2x^2-4/2x=38/8
x^2 -2x =19
Complete the square
x^2 -2x + (-2/2)^2 = 19 +(-2/2)^2
x^2 -2x +1 = 19+1
(x-1)^1=2 = 20
Take the square root of each side
sqrt((x-1)^2) = ±sqrt(20)
x-1 = ±sqrt(20)
Add 1 to each side
x-1+1 = 1 ±sqrt(20)
x = 1 ±sqrt(20)
Simplifying the square root of 20
x = 1 ±sqrt(4)sqrt(5)
x = 1 ±2sqrt(5)
In the triangle sum theorem, the corollary is that the triangle <span>can include only one 90 degree angle or one obtuse angle.</span>
You would be able to drink 7.5oz of the can while you would only intake 25grams of sugar
Answer:
See below and attachment
Step-by-step explanation:
<u>Given function:</u>
<em>The graph is attached and the axis of symmetry and all the required points plotted </em>
a) Axis of symmetry:
b) It has no minimum as the leading coefficient is negative.
- Maximum value is at vertex- the point (3, 4).
- Maximum value is y = 4
c) and d) x - and y - intercepts already given in the question
e) Domain is all real numbers. x = ( -∞, +∞ )
Range is y = ( - ∞, 4]