9514 1404 393
Answer:
D. Both functions are decreasing at the same average rate on that interval
Step-by-step explanation:
The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.
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Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.
First, we are going to multiply the pieces of wood by the length of each piece to find the total length she will need:
Next, we are going to convert 2262 centimeters to meters. To do that we are going to take advantage of the fact that 1 m=100cm:
Now, we just need to divide the total length of wood Marguerite needs by the length of each board of wood:
Since she will need full boards of wood, we must round 3.77 to its nearest integer 4.
We can conclude that <span>
Marguerite will need 4 boards of wood.</span>
Answer:
Step-by-step explanation:
8x+10 - 4x+16 = 4x-6
w= 2x-3
(7) m∠A = 52°
(8) m∠B = 117°
Solution:
(7) Let us first define the supplementary and complementary angles.
Supplementary angles: Two angles are said to be supplementary angles if their sum is add up to 180°
Complementary angles: Two angles are said to be complementary angles if their sum is add up to 90°
Given supplement of 142° = 180° – 142°
= 38°
Complement of ∠A = Supplement of 142°
⇒ Complement of ∠A = 38°
Measure of ∠A = 90° – 38°
= 52°
Hence m∠A = 52°.
(8) Given complement of 27° = 90° – 27°
= 63°
Supplement of ∠B = Complement of 27°
⇒ Supplement of ∠B = 63°
Measure of ∠B = 180° – 63°
= 117°
Hence m∠B = 117°.
Answer: One thousand six hundred and eighty - three students (1,683)
Step-by-step explanation: 49% of 3300 is 1,617 . If 49% don't get enough sleep then then question is indirectly asking for the exact amount of that particular 51%
