Answer:
C
Step-by-step explanation:
okay, this is actually pretty easy because it just works with simple translations.
(x+a)^2 + b
if a is positive, the graph shifts left
if a is negative, the graph shifts right
if b is positive, the graph shifts up
if b is negative, the graph shifts down
so since the quadratic, is starts at the origin and is shift 3 to the left, and 2 up:
the equation is
(x+3)^2 + 2
5^4 / 5 = 5^4 * 5^(-1) = 5^(4-1) = 5^3 = 125
<h3>
Answer: 1</h3>
where x is nonzero
=======================================================
Explanation:
We'll use two rules here
- (a^b)^c = a^(b*c) ... multiply exponents
- a^b*a^c = a^(b+c) ... add exponents
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The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.
Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)
-------------------------------
After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)
Add up those exponents (using rule 2 above) and we get
(a^2-b^2)+(b^2-c^2)+(c^2-a^2)
a^2-b^2+b^2-c^2+c^2-a^2
(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)
0a^2 + 0b^2 + 0c^2
0+0+0
0
All three exponents add to 0. As long as x is nonzero, then x^0 = 1
27-5 = 22
22/11 = 11
there are 11 boys at the party
expression = b+5
Answer:
$ 10.69
Step-by-step explanation:
225 is 2.25 times the 100 pencils. ( 225/100) So all you have to do is multiply 2.25 the price ($4.75) and you get 10.6875, money can only go to the tenth place so you round it to $10.69
<em>Hope this helped and pls mark as brainliest!</em>
<em />
<em>~Luna</em>
