[ - 4 , 4 ) ∪ ( 4 , ∞ )
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x - 4 = 0 ⇒ x = 4 ( is a vertical asymptote )
There is a zero when the numerator equals zero.
x + 4 = 0 ⇒ x = - 4 ( is a zero )
domain is [-4 , 4 ) ∪ ( 4 , ∞ )
Answer:
b = -2 2/3
Step-by-step explanation:
Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 5 from both sides:
-3b + 5 (-5) = 13 (-5)
-3b = 13 - 5
-3b = 8
Next, divide -3 from both sides:
(-3b)/-3 = (8)/-3
b = -8/3
b = -2 2/3
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Answer:
Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _____1._____, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _____2._____ and x = a ⋅ sinC. We also know that x = x by the reflexive property. By the substitution property, _____3._____. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.
Step-by-step explanation:
The first one doesn’t represent a function. This is because it uses the same x-value twice.
Answer:
No, he cannot
Step-by-step explanation:
Lets say the student takes the maximum socre on his last test, so he gets 100. Now, his average on the six texts will be:
(75+85+90+95+94+100)/6 = 89.83
So, if taking 100 is not enough to get to the average of 90, this means he would need a score greater than 100, which is impossible as 100 is the maximum. So, the student CAN'T get an A
