Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
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A graphing calculator confirms this result.
Answer:
4
Step-by-step explanation:
<h2>
There are 120 pine trees and 180 maple trees.</h2>
Step-by-step explanation:
Total number of trees = 300
Given that for every two pine trees there will be 3 maple trees.
Let 2t be the total number of pine trees.
Then total number of maple trees is 3t.
Total number of trees = 2 t + 3 t = 5 t
That is
5t = 300
t = 60
Total number of pine trees = 2t = 2 x 60 = 120
Total number of maple trees = 3t = 3 x 60 = 180
There are 120 pine trees and 180 maple trees.
Part A:
Variable is a symbol for a number we don't know yet. It is usually a letter like x or y but can be any letter.
Example: 6z means 6 times z, and "z" is the variable.
Hence, the variables are c and w. [ Choose any one for your answer ]
Coefficient is any number used to multiply a variable.
<span>Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.
</span>
Hence, the coefficients are 20 and 5. [Choose any one for your answer]
A constant is a<span> fixed value which does not change regardless of the variables entered.
</span>
Hence, the constant is 95.50
Part B:
Weeks saved (w) = 20
Cars washed (c) = 5
20c + 5w + 95.50 = (20 * 5) + (5 * 20) + 95.50 = 100 + 100 + 95.50 = 295.50
Hence, Marla will have $ 295.50 in her account.
Part C:
In <span>20c + 5w + 95.50, Marla's mom deposits $ 20 after every car wash.
If Marla's mom deposits only $ 10 after every car wash, then, the new equation would be : 10</span><span>c + 5w + 95.50
Hence, the coefficient will change from 20 to 10. </span>
Answer:
500
Step-by-step explanation:
because the function is t and thats 1.40 and if you divided 1.40 by 6000 its unknown
