From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
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- The function (f - g)(x) is given by:
- Thus, it will be positive if:
- Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
- Thus, (f - g)(x) is positive in the interval (–∞, –2).
A similar problem is given at brainly.com/question/24388889
The answer is b because in y=mx+c, m is the gradient and c is the y-intercept. since the y-intercept is 2, we can safely discard d as an option. when a gradient is -2, it is a negative graph which means a and c is out. so, you’re left with b!
I want to say B
This is filler to answer
Answer:
<em>XY = 92 units</em>
Step-by-step explanation:
<u>Similar Shapes</u>
Two shapes are similar if all their corresponding side measures are in the same proportion.
The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.
This means that the measure of VX is twice the measure of VW,
The measure of YV is twice the measure of UV
The measure of XY is twice the measure of UW
This last proportion gives the equation:
z + 46 = 2z
Solving for z:
z = 46
Thus, XY = z+46 = 92
XY = 92 units
Answer:
12x − 2
Step-by-step explanation:
7(x+4)+5(x−6)
Distribute:
=(7)(x) + (7)(4) + (5)(x) + (5)(−6)
=7x + 28 + 5x − 30
Combine Like Terms:
=7x + 28 + 5x − 30
=(7x+5x) + (28−30)
= 12x − 2
