Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)
Evaluate the derivative at <em>x</em> = -1 :
d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
<em>y</em> - 4 = 4 (<em>x</em> - (-1)) → <em>y</em> = 4<em>x</em> + 8
Answer:
48 times
Step-by-step explanation:
From the above question, we know that:
2 times = 1 kg of fertilizer
A crop requires 24 kg of fertilizer
Hence:
1 kg of fertilizer = 2 times
24 kg of fertilizer = x
Cross Multiply
x = 24 kg × 2 times/1 kg
x = 48 times
She need to fill the flask 48 times to make the required amount of fertilizer for the crop
1 2/3 * 7/8...turn the mixed number to an improper fraction
5/3 * 7/8 = 35/24 = 1 11/24
Answer: The total number of pizzas that can be made from the given choices is 24.
Step-by-step explanation: Given that a pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings.
We are to find the number of different pizzas that can be made from the given choices.
We have the <em><u>COUNTING PRINCIPLE :</u></em>
If we have m ways of doing one task and n ways of doing the second task, then the number of ways in which we can do both the tasks together is m×n.
Therefore, the number of different pizzas that can be made from the given choices is
Thus, the total number of pizzas that can be made from the given choices is 24.
Answer:
256 is the answer
Step-by-step explanation:
4×4×4×4=256.
