Answer:
Step-by-step explanation:
In order to find out where your holes and asymptotes are is to factor both the top and the bottom of that rational function. The numerator factors to (x+2)(x-2) and the denominator factors to x(x+1)(x-2). So since there is an (x-2) in both the numerator and denominator, that is called a removable discontinuity which we also know as a hole. The other factors in the denominator, the x and the (x+1) are vertical asymptotes, or values of x that make the rational function undefined (you're NEVER allowed to have a 0 in the denominator of a fraction!). So your correct choice is c. The way you find the y coordinate for the hole is to plug in 2 for x and solve it for y. No biggie.
I will try to solve your system of equations.
y=22;−10x+15y=−10
Step: Solvey=22for y:
Step: Substitute22foryin−10x+15y=−10:
−10x+15y=−10
−10x+(15)(22)=−10
−10x+330=−10(Simplify both sides of the equation)
−10x+330+−330=−10+−330(Add -330 to both sides)
−10x=−340
−10x
−10
=
−340
−10
(Divide both sides by -10)
x=34
Answer:
y=22 and x=34Answer:
Step-by-step explanation:
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<h3>Answer = -7</h3>
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<h3>Known</h3>
a = 13
U2 = 6
U3 = -1
U4 = -8
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<h3>Question</h3>
d = ..?
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<h3>Way to do </h3>
#since it gives a lot of number, i will just pick one of the nth term, ill choose U2
Un = a + (n-1)d
U2 = 13 + (2-1)d
6 = 13 + d
6 - 13 = d
d = -7
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<h3>Note</h3>
• The formula of arithmetic sequence
<h2>Un = a + (n-1)d</h2>
n = nth term
a = first term
d = common difference
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