Answer:
Mean = 44.
Mean is the average.
Add all numbers:
(43 × 3) + (44 × 5) + (45 × 2) + 46
(129) + (220) + (90) + 46
= 485
Divide by number of points:
485 ÷ 11 = 44.090909 (09 repeating)
Round to 44.
Median = 44
Median is the middle-most number.
Line all the values up:
43, 43, 43, 44, 44, 44, 44, 44, 45, 45, 46
'Cross' numbers off from each side until you reach the middle- 44.
Mode = 44
Mode is the number that appears most often. 43 appears three times, 44 appears five, 45 appears twice, and 46 appears once. Five was the greatest reoccurrence. Therefore, 44 is the mode.
Range = 3
Range is the distance between the smallest value and the largest value.
Smallest number: 43
Largest number: 46
46 - 43 = 3
Answer:
Answer:
Step-by-step explanation:
» x and y can only be got through using trigonometric ratios:
✍ <u> </u><u>For</u><u> </u><u>x</u><u> </u>:

✍ <u> </u><u>F</u><u>o</u><u>r</u><u> </u><u>y</u><u> </u>:

Answer:
no values of x make the equation true
Step-by-step explanation:
Given that her work is correct, then the final step gives
4 = 5 ← meaningless
This indicates that the equation has no solution
In this case, h(x) = sqrt(x) + 3
A. f(x)=x+3; g(x)=√x
B. f(x)=x; g(x)=x+3
C. f(x)=√x; g(x)=x+3
D. f(x)=3x; g(x)=√x
Again, you need to find a function f(x) that once evaluated in g(x) gives us h(x)
h(x) = g(f(x))
Looking at the options, the answer is C.
g(f(x)) = f(x) + 3 = sqrt (x) + 3 = h(x)
Distribute 2 to x and -2, and -6 to x and -2
2(x - 2) = 2x - 4
-6(x - 2) = -6x + 12
2x - 4 = 4x - 6x + 12
Simplify. Combine like terms
2x - 4 = (4x - 6x) + 12
2x - 4 = -2x + 12
Isolate the x. Add 4 to both sides, and 2x to both sides
2x (+2x) - 4 (+4) = -2x (+2x) + 12 (+4)
2x + 2x = 12 + 4
Simplify
4x = 16
Isolate the x. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
4 is your answer for x.
hope this helps