Answer:
solid...(-3,0)(-4,-1)...shaded below the line
slope = (-1-0) / (-4-(-3) = -1/(-4 + 3) = -1/-1 = 1
y = mx + b
-1 = 1(-4) + b
-1 = -4 + b
-1 + 4 = b
3 = b
this line is : y < = x + 3 <== (thats less then or equal)
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solid...(1,1)(2,-1)...shaded below the line
slope = (-1-1) / (2-1) = -2/1 = -2
y = mx + b
1 = -2(1) + b
1 = -2 + b
1 + 2 = b
3 = b
Step-by-step explanation:
Answer:
Obtuse angle
Step-by-step explanation:
Answer:
Hours Worked
Step-by-step explanation:
The question was incomplete. Below you will find the missing content.
The square root function f(x) is x <= 7
Options are :
A. 7 is subtracted from the x-term inside the radical.
B. The radical is multiplied by a negative number.
C. 7 is added to the radical term.
D. The x-term inside the radical has a negative coefficient.
Option D is correct, which is : The x-term inside the radical has a negative coefficient.
Given, the domain of the square root function f(x) is x <= 7
Consider the function y = √x.
The domain of this function is x ≥ 0 and the range is y ≥ 0.
The expression inside the radical must be greater than or equal to zero.
Now, if x ≤ 7
x - 7 ≤ 0
7 - x ≥ 0
And the function y = √(7-x) will have the domain x ≤ 7.
This implies that the x-term inside the radical has a negative coefficient.
Therefore, the statement that the x-term inside the radical has a negative coefficient must be true.
Learn more about function here :
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(x,y) -> (-y, x) This is a symmetry with respect to y=x, followed by a reflection across the y axis. Congruent.
(x,y) -> (x-2, y-1/2) This is a translation, but it follows different rules for each coordinate. Not congruent.
(x,y) -> (2x, 2y) This is a dilation. The resulting triangle will be similar, but not congruent. Not congruent.
(x,y) -> (-x, y) This is a reflection across the y axis. Congruent.
(x,y) -> (1/2x, 1/2y) This is a dilation. The resulting triangle will be similar, but not congruent. Not congruent.
