Answer: -31
<u>Step-by-step explanation:</u>
f(x) = -x⁴ + 3x³ + x² - 8x - 16
f(3) = -(3)⁴ + 3(3)³ + (3)² - 8(3) - 16
= -81 + 81 + 9 - 24 - 16
= -31
Answer:

Step-by-step explanation:
We are given that fraction

We have to find the expression which is equivalent to given fraction .


Substitute the values then, we get

We know that

Using the property then, we get


This is required expression which is equivalent to given expression.
32 x4 = 128 ft
128 x 12 = 1536
Final Answer: 1,536 inches
Hope this helps!! :)
Answer:
95 ; 105
Step-by-step explanation:
Let :
Aanya's time = x
Krish's time = x + 10
Together = 50
Hence
Aanya's rate = 1/x
Krish's rate = 1/(x + 10)
Together rate = 1/50
Hence,
1/x + 1/(x + 10) = 1 / 50
((x + 10) + x) / x(x + 10) = 1/ 50
(2x + 10)/ x² + 10x = 1/50
50(2x + 10) = x² + 10x
100x + 500 = x² + 10x
x² + 10x - 100x - 500 = 0
x² - 90x - 500 = 0
Using the quadratic equation solver :
x = 95.24 ; x = - 5.24
Time can't be negative
Hence, x = 95 (nearest minute)
It takes Aanya 95 minutes Alone a ND
Krishna (95 + 10) = 105 minutes alone