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yuradex [85]
3 years ago
15

If 3x+y=4 then what is the value of 1/y

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
8 0

Answer this in 2 steps:

1) Solve 3x+y=4 for y:  3x+y=4 becomes 3x-3x+y=4-3x, or y = -3x + 4.

                                                                          1

2) Find the reciprocal of this result:  1/y = --------------

                                                                      -3x + 4

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Which of the following is the graph of the quadratic function y - x? +10x+16 ?
Assoli18 [71]

Find the vertex:

\textrm{Use the formula } \frac{-b}{2a} \textrm{ to find the vertex}\\ \\ \frac{-10}{2} = -5\\ \\ \textrm{In order to find the y value plug in -5 back into the function}\\ \\ y=(-5)^2+10(-5)+16\\ y=-9\\\\ \textrm{The vertex of the function is} (-5,-9)

Determine if the parabola will open up or down:

a > 0 \\ \\ 1>0

Since the value of a is positive, the parabola will open upwards

Find the x and y intercepts:

Factor y = x^2+10x + 16 to find the x intercepts

(x+8)(x+2)

x + 8 = 0

x = -8

x + 2 = 0

x = -2

x intercepts:

x = -2

x = -8

Find the y intercept

y = 0^2+10(0) + 16\\\\ y=16

Hence, C. Graph A best represents the quadratic function y = x^2+10x + 16

6 0
3 years ago
Lines k and l are parallel and the measure of angle ABC is 22 degrees. Find the measure of the other angles.
Ne4ueva [31]

Answer:

Option B, 22

Step-by-step explanation:

Alternate interior angles are same

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Anuta_ua [19.1K]

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no

Step-by-step explanation:

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Which of the following is a solution of y &gt; |x| - 5? a.(4, -1)<br> B.(-1, -4)<br> C.(-4, 1)
Savatey [412]
Fill your inequality in with the y and x provided and then do the math.  (4, -1) would fill in like this (I will use brackets to indicate absolute value symbols, since there are none in the equation editor): -1\ \textgreater \ [4]-5  The right side is in fact equal to the left side so that's not the answer.  For (-1, -4): -4\ \textgreater \ [-1]-5 and these are also equal.  Let's try C now (-4, 1): 1\ \textgreater \ [-4]-5.  The absolute vale of -4 is 4 so 4 - 5 = -1 which is, in fact, less than 1.  So C is our answer.
8 0
3 years ago
Find the equation of the line normal to the curve of y=cos1/3x, where x=pi
miv72 [106K]

Answer:

The equation of the line normal to the curve of y=cos1/3x, where x=pi is y= 2√3 x - 10.38

Step-by-step explanation:

The equation of the normal to the curve is

Y- y1 = - 1/m (x- x1)

Where m is the gradient.

See attached picture for the complete solution.

5 0
3 years ago
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