Answer with explanation:
→→→Function 1
f(x)= - x²+ 8 x -15
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= - 2 x + 8
Put,f'(x)=0
-2 x+ 8=0
2 x=8
Dividing both sides by , 2, we get
x=4
Double differentiating the function
f"(x)= -2, which is negative.
Showing that function attains maximum at ,x=4.
Now,f(4)=-4²+ 8× 4-15
= -16 +32 -15
= -31 +32
=1
→→→Function 2:
f(x) = −x² + 2 x − 3
Differentiating once , to obtain Maximum or minimum of the function
f'(x)= -2 x +2
Put,f'(x)=0
-2 x +2=0
2 x=2
Dividing both sides by , 2, we get
x=1
Double differentiating the function,gives
f"(x)= -2 ,which is negative.
Showing that function attains maximum at ,x=1.
f(1)= -1²+2 ×1 -3
= -1 +2 -3
= -4 +2
= -2
⇒⇒⇒Function 1 has the larger maximum.
Answer:
a. $5.43
b. $141.25
c. $8.75
Step-by-step explanation:
First you find the total amount you it cost for all the items
$135.82 + 4% = $141.25
You give three $50 dollar bills
50 * 3 = 150
$150 is the amount you give
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141.25 - 135.82 = 5.43
$5.43 is the amount of the sale price
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To find the amount is cost for all the items you add the sales tax + the original price
$135.82 + 4% = $141.25
$141.25 is the amount including the tax
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Subtract
150 - 141.25 = 8.75
So you will get $8.75 back
No because the extra 10% is off the discounted price, not the original. image that the CD originally cost $10. 15% off of the CD would make the price $8.50. Another 10% off of $8.50 would make the price that you have to pay $7.65. 25% off of the original price of $10 would make the price $7.50. Sorry if its a bit confusing but I hope that helps!
You don't need 3 equations to get a general solution. To do this use the equations x-3y-z=0 and -x+2y+0z= -3. Start out by letting z = t. Then solving those 2 equations simultaneously, your x's cancel out leaving you with -y-z=-3. But since z=t, then -y=-3+t or y=3-t. Now sub that in for y in the first equation, along with the fact that z=t to get x-3(3-t)-t = 0 and solve for x. x=9-2t. So a general solution for this would be (9-2t, 3-t, t)
