Answer:
Step-by-step explanation:
f(x) = log(x), to achieve the graph of g(x) = log(-3x+9) + 4
factor out the -3 inside the parenthesis
g(x) = log(-3(x-3)) + 4
the +4 shifts the graph up 4 units
-3 inside the parenthesis moves it to the right units
3 compresses it by a factor of 3 in the x direction
- by the 3 on the outside of the reflects it about the y axis
Answer:
A. 37.5°
Step-by-step explanation:
∠SPT can be considered an inscribed angle in the circumcircle. In that circle, arc ST would have a measure of 360°/8 = 45°. Angle y° is half that measure, so is 22.5°.
The external angles of a regular octagon are 360°/8 = 45°, so that is the measure of angles UTW and UVW. It is also the amount by which reflex angle TUV exceeds 180°.
The sum of the interior angles of quadrilateral TUVW is ...
45° +225° +45° +3x° = 360°
Then 3x° = 45° and x° = 15°.
Then the sum of interest is ...
x° + y° = 15° + 22.5° = 37.5°
Answer:
linear
Step-by-step explanation:
First differences of the y-values for the consecutive x-values are ...
-3 -(-4.5) = 1.5
-1.5 -(-3) = 1.5
0 -(-1.5) = 1.5
1.5 -0 = 1.5
The first differences are constant, so the function is linear.
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Since we know the function is linear, there's no real point in computing the ratios of successive outputs. In any event, we know it is not constant. The ratio with 0 as a numerator will be 0; the ratio with 0 as a denominator will be undefined.
Answer:
69 420
Step-by-step explanation:
