Answer:
steps below
Step-by-step explanation:
a) f(x) = (x+2)² - 9
b) y = (x-h)² + k , (h,k) is vertex vertex (-2 , -9)
x intercept: (x+2)² - 9 = 0
x+2 = ± 3
<u>x = 1 or x = -5</u>
y intercept: <u>y = -5</u>
c) attached
d) y ≥ -9 [-9,∞)
5*5*5=125
5²*5=125
5√5 is your answer
A rational function must not have a denominator of 0, since that means the divisor is a 0 and there's no number whatsoever you can multiply it with 0 to get the dividend, the short version of all that is, the fraction is "undefined".
a domain for a rational is any values of "x" that are safe, namely will not make the denominator undefined, there are a few other constraints, but this is the only one in this case.
so, what values "x" cannot take on safely? well, we can find out what makes the denominator to 0, by simply, yeap, you guessed it, zeroing it out, let's do so,
so, if ever "x" becomes -2/5, our handy dandy fraction will go poof.
so the domain is all real numbers for "x", EXCEPT -2/5, or in Set Builder notation, {x | x ∈ ℝ; x ≠ -⅖}
Katia and Thomasina play a computer game and record these scores. Katia: 8, 6, -4, -7, 2, 0, 3 Thomasina: -11, 0, 8, 7, 5, -7, 1
suter [353]
Answer:
Step-by-step explanation:
there is no factorization of y^2 -2y +35 in real numbers
Thomasina correctly determined two factors of 35 that differ by 2, but that is not what is needed here. For this problem, she needs two factors of 35 that have a sum of 2.* (There aren't any real-number factors that meet that condition.)
__
The factorization in complex numbers would be ...
= (y -1 -i√34)(y -1 +i√34)
_____
* Technically, she needs two factors of 35 with a sum of -2. Both factors would have to be negative.
Answer:
$362.25
Step-by-step explanation:
Profit made per product :
Soft pretzel = $5.25 - $3.50 = $1.75
Candied apple = $3.50 - $1.75 = $1.75
For every 2 candied apple sold, 7 soft pretzel is sold :
If 161 sold pretzel is sold, the number of candied apple sold will be :
(161 / 7) * 2
23 *. 2 = 46 candied apple was sold
Profit made on product sold :
Soft pretzel = $1.75 * 161 = $281.75
Candied apple = $1.75 * 46 = $80.5
$(80.5 + 281.75) = $362.25