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TiliK225 [7]
3 years ago
13

Assume f(x) = g(x). Which of the following two functions may be used to represent the function 3x = x – 4? *

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0

Since we know that the two functions are equal, f (x) = g (x), therefore when we equate the two equations the result should be similar to 3x = x – 4:

 

A. f(x) = 3x, g(x) = x – 4

Equating the two functions:

3x = x – 4             (correct)

 

So we now got our answer (A)

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write an equation in slop-intercept form for a line that is perpendicular to the line y= -5x-3 and has a y-intercept of 6.
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Answer:

The equation of the line would be y = 1/5x + 6

Step-by-step explanation:

First, to find the slope of a perpendicular line, you need to find the opposite and reciprocal of the original slope. Since the original is -5, we first change the sign (which makes it just 5). Now we take that 5 and flip it to get 1/5.

Now that we have the slope as 1/5, we can use that and the intercept in slope-intercept form to get the equation.

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3 years ago
In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of
ira [324]
Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
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Hope this helps :)

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3 years ago
Which expression is equivalent to –0.25x + 1.5 – 0.5x - 2?
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The answer to that is D
3 0
3 years ago
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