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3 years ago

The functions f and g are defined as follows f(x)=5x+3/6x+7 and g(x)= square root sign x^2-4x

1 answer:

3 0

f(x)=5x+3/6x+7

This means that f(6/x) = [5(6/x)+3] / [6(6/x)+7] = [ 30/x +3 ] / [36/x +7]

If we assume x≠0 , f(6/x) = [30 +3x]/ [36 + 7x]

g(x)=√ [ x^2-4x ]

g(x-4) = √ [ (x-4)^2-4(x-4) ] = √ [ x² -8x +16 -4x +16 ] = √ [ x^2-12x +32]

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What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3

Sauron [17]

Answer:

The solution to the given system of equations is (-2, $\frac{5}{3}$ )

Therefore the values of x and y are x=-2 and $y=\frac{5}{3}$

Step-by-step explanation:

Given equations can be written as

$y=\frac{2}{3}x+3\hfill (1)$

$x=-2x+3x=-2\hfill (2)$

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

$y=\frac{2}{3}(-2)+3$

$=-\frac{4}{3}+3$

$=\frac{-4+9}{3}$

$=\frac{5}{3}$

Therefore the values of x and y are x=-2 and $y=\frac{5}{3}$

The solution to the given system of equations is (-2, $\frac{5}{3}$ )

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3 years ago

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Gala2k [10]

<h3>Total snow fall for three days is 8.75 inches</h3>

Solution:

Given that,

Snow fell over the past three days

$First\ day = 3\frac{2}{4}\ inches = \frac{14}{4}\ inches\\\\Second\ day = 3\frac{2}{4}\ inches = \frac{14}{4}\ inches\\\\Third\ day = 1\frac{3}{4}\ inches = \frac{7}{4}\ inches$

What was the total snowfall for the three days?

Total snowfall = first day + second day + third day

$Total\ snowfall = \frac{14}{4} + \frac{14}{4} + \frac{7}{4}\\\\Total\ snowfall = \frac{14 + 14 + 7}{4}\\\\Total\ snowfall = \frac{35}{4} \text{ or } 8.75\ inches$

Thus total snow fall for three days is 8.75 inches

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