Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Function Notation
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = 3x + 5 - x²
- Rewrite: (f - g)(x) = -x² + 3x + 5
I hope this helps you
3t÷3 < -15÷3
t < -5
Answer:
18-27= 01
Step-by-step explanation:
18
-27
---------
01
the one cancels out
Answer:
1) gradient of f = (1/y)i+(-x/y^2)j
2) rate of change of f at P in direction of v = i - 1/16 j
3) maximum rate of change at P= (√17)/16
4) unit vector of maximum rate of change = 4/√17 i + 1/√17 j
Step-by-step explanation:
The explanation can be found in the attached picture
Note:
Since the gradient vector represents the direction of maximum change:
3) The maximum rate of change is the modulus of the gradient vector
4) The unit direction vector of maximum rate of change is the unit gradient vector.
Answer:
I have given it step by step below.
Step-by-step explanation:
(i) Mean = sum of observations/total no. of observation
= 23 + 20 + 4 + 19 + 28 + 35 + 25 + 0 +1 + 30/ 10
= 185/10
= 18.5
(ii) additional 35 runs
New Mean
=previous total + 35/10 + 1 (the 1 gets added in denominator because of the additional observation)
= 185 + 35/11
= 220/11
= 20
Hope this helps you!
