Step-by-step explanation:
Given functions are:
h(x) is the product of g(x) and f(x)
Combining like terms
Hence,
Keywords: Functions, product
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Explanation: The sum<span> of the measure of the </span>internal<span> angles of any triangle is 180o . In a right angled triangle, one angle will be 90o . Since we know the measure of one of the other acute (less than 90o ) angles, we subtract the </span>sum<span> of the two known angles from 180 to calculate the measure of the other acute angle.</span>
Answer as a fraction = 1/2
Answer as a decimal = 0.5
Answer as a percent = 50%
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Explanation:
There are 5 blue rectangles out of 10 total. This forms the fraction 5/10 and that reduces to 1/2 after dividing both parts by 5. Therefore, the fractions 5/10 and 1/2 are the same. Notice that exactly half of the entire figure is shaded blue.
Use long division or your calculator to find that 1/2 = 0.5 which converts to 50% when you move the decimal point 2 spots to the right.
Based on the data, the most likely correlation coefficient would be -1.
The slope between 20 and 30 days is -1, and it represents the change in the surface area of the lake per day.
The data represents correlation, not causation.
Since the data would form a perfectly straight line through the points, the correlation coefficient would be -1 for a perfect decreasing fit.
To find the slope, find the change in the surface area between those days, the change in the days, and write it as surface area/days: 80-90=-10; 30-20=10; -10/10=-1
This is not causation because there could be lurking variables we cannot see.
Answer:
1)-9
2)16
3)-2
Step-by-step explanation:
1)
-3x + 4 = 31
-3x = 31 - 4
-3x = 27
-x = 27/3
-x = 9
x = -9
2)
2x + -10 = 22
2x = 22 + 10
2x = 32
x = 32/2
x = 16
3)
40 = 32 – 4r
-4r = 40 - 32
-4r = 8
-r = 8/4
-r = 2
r = -2
