Answer:
∠A= 80°
Step-by-step explanation:
if they are supplementary then put them equal to 180
7x + 3 +7x + 23 = 180
14x + 26 = 180
14x = 154
x= 11
now plug in
7(11)+3
77+3= 80
Step-by-step explanation:
K is an upper bound for│f"(x)│on the interval [0, 1], so x ≤ 1.
Sine and cosine have maximums of 1, so an upper bound of │f"(x)│is:
│f"(x)│≤ (76 · 1 + 152 · 1 · 1)
│f"(x)│≤ 228
Answer:
- 39 quarters and 41 nickels
Step-by-step explanation:
Let the number of quarters be x and nickels be y.
<u>Given:</u>
- Quarter is 25 cents
- Nickel is 5 cents
- Number of coins is 80
- Total amount is $11.80 = 1180 cents
<u>We have equations:</u>
- x + y = 80
- 25x + 5y = 1180
<u>Solve the system by elimination, subtract 5 times the first equation from the second one:</u>
- 25x + 5y - 5x - 5y = 1180 - 80*5
- 20x = 780
- x = 780/20
- x = 39
<u>Find the value of y:</u>
- 39 + y = 80
- y = 80 - 39y = 41
<u>Verify:</u>
- 25*39 + 5*41 = 975 + 205 = 1180
Answer:
Step-by-step explanation:
make one side equal to zero:
find two factors that multiply to -36 and add to -5 (-9 & 4)
factorise
solve for x
Answer:
15w³
Step-by-step explanation:
you need to check for the of 225w^6 and see what you can take out.
you can take 3 w's out. and 225 is a perfect square, because 15² = 225
(basically the answer you have in there but you just have to get rid of square root)
