Answer:
B. 238.3
Step-by-step explanation:
483.51-246.17=237.34
Answer: Choice A
g(x) = sqrt(2x)
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Explanation:
"sqrt(x)" is shorthand for "square root of x"
f(x) = 3x^2 is given
g( f(x) ) = x*sqrt(6) is also given
One way to find the answer is through trial and error. This would only apply of course if we're given a list of multiple choice answers.
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Let's start with choice A
g(x) = sqrt(2x)
g( f(x) ) = sqrt(2 * f(x) ) .... replace every x with f(x)
g( f(x) ) = sqrt(2 * 3x^2 ) .... plug in f(x) = 3x^2
g( f(x) ) = sqrt(6x^2 )
g( f(x) ) = sqrt(x^2 * 6)
g( f(x) ) = sqrt(x^2)*sqrt(6)
g( f(x) ) = x*sqrt(6)
We found the answer on the first try. So we don't need to check the others.
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But let's try choice B to see one where it doesn't work out
g(x) = sqrt(x + 3)
g( f(x) ) = sqrt( f(x) + 3)
g( f(x) ) = sqrt(3x^2 + 3)
and we can't go any further other than maybe to factor 3x^2+3 into 3(x^2+1), but that doesn't help things much to be able to break up the root into anything useful. We can graph y = x*sqrt(6) and y = sqrt(3x^2 + 3) to see they are two different curves, so there's no way they are equivalent expressions.
Answer:
Step-by-step explanation:
Let the equation of the line 'a' is,
y = mx + c
Here, m = slope of the line
c = y-intercept
For line 'a',
Slope of the line =
m =
m =
y-intercept = 20
Therefore, equation of the line 'a' is,
y =
Similarly, equation of the line 'b' is,
y = m'x + c'
Slope of the line =
m' =
m' =
y-intercept = 0
Therefore, equation of the line is 'b' is,
y =
1). Line 'b' represents a proportional relationship → FALSE
2). The constant of proportionality of y to x for line 'a' is → FALSE
3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE
4). let a passes through the point so the constant of proportionality is → TRUE
Answer:
x = 10.58
Step-by-step explanation:
It seems the equation is following
3 and 2 will simpy multiply and become 6
will go to RHS and will multiply with 19
6(x+6) will become = 6x + 36
6x = 42.48 + 21
6x = 63.48
x = 10.58