The graph of g(x) would look the same as the given graph, EXCEPT that it'd be compressed by a factor of 1/3. Try graphing both f(x) and g(x) on your calculator and then comparing the 2 graphs.
Answer:
36/40, 47/101, 192
Step-by-step explanation:
(a)The numerator (top number of the fraction) is adding up by odd numbers in order.
From 1/40 to 4/40 you add 3, from 4/40 to 9/40 you add 5, from 9/40 to 16/40 you add 7, and from 16/40 to 25/40 you add 9.
The next number to add would logically be 11. So from 25/40 you would go to 36/40.
36/40 is your next fraction.
(b)
3+4=7,4+7=11,7+11=18,11+18=29,18+29=47
(c) 1*2=2,2*2=4,2*4=8,4*8=32,8*32=256,32*256=8,192
Answer:
Rational numbers are the numbers that can be expressed in the form of a ratio (P/Q & Q≠0).
Irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.
Step-by-step explanation:
We need to assign a value for x to check the possible values of y.
1st inequality: y < -0.75x
X = - 1 ; y < -0.75(-1) ; y < 0.75 possible coordinate (-1,0.75) LOCATED AT THE 2ND QUADRANT
X = 0 ; y < -0.75(0) ; y < 0 possible coordinate (0,0) ORIGIN
X = 1 ; y < -0.75(1) ; y < -0.75 possible coordinate (1,-0.75) LOCATED AT THE 4TH QUADRANT
2nd inequality: y < 3x -2
X = -1 ; y < 3(-1) – 2 ; y < -5 possible coordinate (-1,-5) LOCATED AT THE 4TH QUADRANT
X = 0 ; y < 3(0) – 2 ; y < -2 possible coordinate (0,-2) LOCATED AT THE 4TH QUADRANT
X = 1 ; y < 3(1) – 2 ; y <<span> 1 possible coordinate (1,1) LOCATED AT THE 1ST QUADRANT
The actual solution to the system lies on the 4TH QUADRANT.
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Answer:
C. 1/(x^2 +1) > 0
Step-by-step explanation:
The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.
1/x^2 is undefined for x=0, so cannot be compared to zero.
The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.
1/(x^2 +1) > 0
