Answer:
my answer was 7.5
Step-by-step explanation:
2
2b+3b-10
4b+3b-10
10-7b=3b fraction bar means divide so...
3b
__ 2
4b because... b-2b=4b and 8-4b=4b
3/4 =7.5 because 4 cant go into three so you add a decimal and a zero and move decimal up and 4 can go into 30 7 time which equals 28 and 30-28 is 2 add another zero and its 20 and 4 goes in 5 times which equals 20 and 20-20=0 so its 7.5 (i hope this helps ;)
Answer:
x = 4
y = -2
Step-by-step explanation:
x + 10y = -16
-x -4y = 4 <-- ( multiplied x+4y=-4 with -1 so the x's cancel)
6y = -12
y = -2
put -2 back in the equation to get x
x + 10y = -16
x -20 = -16
x = 4
Answer:
- y = 81-x
- the domain of P(x) is [0, 81]
- P is maximized at (x, y) = (54, 27)
Step-by-step explanation:
<u>Given</u>
- x plus y equals 81
- x and y are non-negative
<u>Find</u>
- P equals x squared y is maximized
<u>Solution</u>
a. Solve x plus y equals 81 for y.
y equals 81 minus x
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b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.
P equals x squared left parenthesis 81 minus x right parenthesis
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c. Find the domain of the function P found in part b.
left bracket 0 comma 81 right bracket
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d. Find dP/dx. Solve the equation dP/dx = 0.
P = 81x² -x³
dP/dx = 162x -3x² = 3x(54 -x) = 0
The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...
P is maximized at (x, y) = (54, 27).
The pattern is subtracting 9
Answer:
<em>( About ) 1.77 seconds; Option B</em>
Step-by-step explanation:
We are given the equation h ( t ) = - 16t^2 + 50, so in order to determine the time let us determine the x - intercept for y ⇒ 0;
- 16t^2 + 50 = 0,
- 16t^2 = - 50,
t^2 = 25 / 8,
Thus t ⇒ √ ( 25 / 8 ), and t ⇒ - √ ( 25 / 8 ),
t ⇒ ( 5√2 )/ 4, and - ( 5√2 )/ 4,
But time is represented only by a positive value, thus
t ⇒ ( 5√2 )/ 4 = 1.767766953......., ( About ) 1.77 seconds
<em>Answer; ( About ) 1.77 seconds; Option B</em>
