Answer:
Step-by-step explanation:
f(x) = (x - 1)/(x - 3) < 0
The critical points are x = 1 and x = 3
When x < 1, f(x) > 0
When 1 < x < 3, f(x) < 0
When x > 3, f(x) > 0
Note when x = 3 f(x) has no value and when x = 1 f(x) = 0.
I can't see all the graphs very well but there should be a red line between 1 and 3 with a clear circle on x = 1 and x = 3.
Looks like its the last choice.
Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
Answer:
The dots move up going to the right which makes it positive.
The answer is positive association.
<h3>
Answer: x = -3</h3>
The two diagonal lines cross at (-3,5). We only need to worry about the x coordinate here, so x = -3 is what we're after. If x = -3, then f(x) and g(x) have the same y output meaning f(x) = g(x). That y output is y = 5.
(1/x) - (2x/(1+x^2)) = 0
Multiply by x(x^2+1)
1(x^2+1)+(−2x)(x)=0x(x2+1)
−x^2+1=0(Simplify both sides of the equation)
−x^2+1−1=0−1(Subtract 1 from both sides)
−x^2=−1
−x^2−1=−1−1(Divide both sides by -1)
x^2=1
x=ñ1(Take square root)
x=1 or x=−1
