Given f(x) = x2 - 10x + 22, what is the domain of f

1 answer:

4 0

<h2><u>Answer:</u></h2><h2>Polynomials have the domain of all Reals. Plugging any Real number into the equation will give you a value. </h2><h2>Domain = {x|x∈R}</h2><h2><u></u></h2><h2><u> Step-by-step explanation:</u></h2><h2>The range is dependent on the curve itself. The axis of symmetry for this function is</h2><h2>x = -b/2a = -1(-10)/2(1) = 10/2 = 5 </h2><h2>The vertex is F(5) = (5)2 + (-10)(5) + 21 = 21 -50 + 21 = -8</h2><h2>Since the leading coefficient is positive, the parabola opens up and the vertex (5,-8) is a local minimum. It turns out to be an absolute minimum too so the Range = {x|x∈R, x≥-8}</h2>

<h2><u>Thank you</u></h2><h2><u>sunshinemadison101</u></h2>

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A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what

Alchen [17]

Answer: The height of tree = 15 ft. 6 inches

Step-by-step explanation:

Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ] inches [ 1 ft= 12 inches]

= 63 inches

Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches

= 42 inches

If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches

= 124 inches.

At the same time,

$\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.$