Answer
f(6) = -33 and g(-3) = -52
Explanation;
Given the function
f(x)=-5x-3
f(6)=-5(6)-3
f(6) = -30 -3
f(6) = -33
Similarly if g(x)=2x^3+2
g(-3)=2(-3)^3+2
g(-3) = 2(-27)+ 2
g(-3) = -54 + 2
g(-3) = -52
Hence f(6) = -33 and g(-3) = -52
Answer:
∞, or (-∞, ∞)
Step-by-step explanation:
Basically we're asking when x is undefined. We can tell this a variety of different ways, but the easiest is knowing the rule that a normal function (one that isn't square rooted, taken the log of, or has an x value in a denominator) such as this one will always have a domain that goes to infinity.
Answer:
7/8 or 0.875 units^3
Step-by-step explanation:
The volume for a rectangular prism is l*w*h. What you must remember is that l*w can be rewritten as the base of the prism. Thusly, the volume formula can be reduced to B*h, where B is the area of the base. You are given the area of the base as 1/2, so just multiply 1/2 by 1&3/4 (I rewrote it as 7/4) to get 7/8.
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Take everything to one side and equate it to zero
So: 5x^2 -x -1=0
Next factorise so it’s 5(x^2-1/5)-1=0
So: 5(x-1/5) ^2 -1=0
So complete the square
First of all remove the five by division (x- ((1/5)/2)^2+ (1/5/2)^2 ) -1 =0
So (x- 1/10)^2 +1/5 +1/100 =0
Answer is (x-1/10)^2 -21/100 =0
Take -21/100 to the other side so:
(x-1/10)^2 = 21/100
Square root both sides so
(X-1/10) = square root of 21/100
Take -1/10 to the other side so
X= 1/10 + square root of 21/100
