F(x) = x^2/2 + 2x + 1f(x) = 1/2 * (x^2 + 4x) + 1f(x) = 1/2 * (x^2 + 4x + 4) - 1/2 * (4) + 1f(x) = 1/2 * (x + 2)^2 - 1
The vertex is (-2, -1). The axis of symmetry is x = -2. The minimum value is -1. The maximum value is infinity.
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57.6² = 33.8² + QR²
QR² = 2.175,32
QR = 46.64
57.6/sen90º = 46.64/sen(P)
sen(P) = 46.64*sen90º/57.6
sen(P) = 0.809
angle P is sen^-1 = 54.06º ≈ 54.1º
Answer:
10
Step-by-step explanation:
If we plug in any negative number as x, the result will always be greater than 4, which rules out answers A and B
lets try plugging in 4 as x to test answer C:
2(8-4)
2(4)= 8
8 is greater than 4, therefore C is wrong.
Lets try 10 as X (answer D):
2(8-10)
2(-2)
-4
We know that -4 is less than 4, therefore it makes the inequality true! :)
Step-by-step explanation:
6,000,000-300=5,999,700
Answer: width = 21, length = 47
<u>Step-by-step explanation:</u>
Length (L) = 2w + 5
width (w) = w
Perimeter (P) = 136
P = 2L + 2w
136 = 2(2w + 5) + 2w <em>substituted the given values above</em>
136 = 4w + 10 + 2w <em>distributed 2 on the right side</em>
136 = 6w + 10 <em>added like terms (4w and 2w)</em>
126 = 6w <em>subtracted 10 from both sides</em>
21 = w <em>divided both sides by 6</em>
Length (L) = 2w + 5
= 2(21) + 5
= 42 + 5
= 47
