Answer:
y=12
Step-by-step explanation:
y=2x ,so 2x=8x-x^2
x^2=8x-2x
x^2=6x
x^2/x=6x/x
x=6
y=2x ,2(6)
y=12
Answer: The answer is 44 feet.
Step-by-step explanation: You need to find the perimeter of the room. Add the length and width and multiply by 2. Janie needs 44 feet of wood for the
baseboards.
Answer:
= 3.65.
Step-by-step explanation:
You know that Tom has 23 coins in total. That means the number of dimes and the number of quarters equals 23.
D + Q = 23
You also know that the total value of the coins is $3.65. A dime is worth $0.10 and a quarter is worth $0.25, so:
0.10*D + 0.25*Q = 3.65
That says that 10 cents per dime times the number of dimes, plus 25 cents per quarter times the number of quarters is three dollars and sixty-five cents.
So you have a system of linear equations:
D + Q = 23
0.10D + 0.25Q = 3.65
I'm going to multiply the bottom row by 100 to clear the decimals.
D + Q = 23
10D + 25Q = 365
Now I can multiply the top row by -10 to eliminate the D terms
-10D - 10Q = -230
10D + 25Q = 365
________________
0D + 15Q = 135
15Q = 135
Q = 9
Tom has 9 quarters.
If D + Q = 23, and Q = 9, then:
D + 9 = 23
D = 14
Tom has 14 dimes.
Always good to double check:
9 quarters is worth $2.25. 14 dimes is worth $1.40. These should sum to $3.65.
2.25 + 1.40
Answer:
The range in the average rate of change in temperature of the substance is from a low temperature of -22 ºF to a high of 16 ºF.
Step-by-step explanation:
Sine function is a bounded function whose range is between -1 and 1. The lowest average rate of change in temperature occurs when sine function is equal to 1 and the highest when this function is equal to -1. Then, the minimum and maximum average rate of changes in temperature are:
Minimum
Maximum
The range in the average rate of change in temperature of the substance is from a low temperature of -22 ºF to a high of 16 ºF.
<span>There exists the same question that has the following choices.
</span>A. Graph opens the same way and is narrower
B. Graph opens the same way and is wider
C. Graph opens the opposite way and is narrower
<span>D. Graph opens the opposite way and is wider</span><span>
After applying the changes in the function, the new equation is
-f(1/2 x ).
</span>
The correct answer is letter D. Graph opens the opposite way and is wider.
