Answer:
x = 200
Step-by-step explanation:
Given
x - 
y = 30 ← substitute y = 15 into the equation
x - × 15 = 30 , that is
x - 10 = 30 ( add 10 to both sides )
x = 40 ( multiply both sides by 5 to clear the fraction )
x = 200
Answer:
4
Step-by-step explanation:
lim (x^2 - 4) / (x - 2)
x --> 2
When we plug x =2, we get
(2^2 - 4) / (2 - 2)
= (4 - 4)/(2 - 2)
= 0 /0
Which is undefined.
Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.
When we differentiate x^2 -4, we get 2x
When we differentiate x -2, we get 1
lim 2x/1
x --> 2
Now apply, the limit x = 2
2(2)/1
= 4/1
= 4
Therefore, limit of this function is 4, when x tends to 2.
Hope you will understand the concept.
Thank you.
Answer:
Step-by-step explanation:
Let (2n-1) and (2n+1) be the consecutive, odd numbers.
(2n-1)(2n+1) = 143
4n² - 1 = 143
4n² = 144
n² = 36
n = 6
2n-1 = 11
2n+1 = 13
The numbers are 11 and 13.
Answer:
Martha should calculate the exact amount of yeast she will need to make the bread rise.
Step-by-step explanation:
-15d - 12 = -4(d + 3) - 11d
-15d - 12 = -4d - 12 - 11d
-15d - 12 = -15d - 12
+12 +12
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-15d = -15d
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All real numbers are the solution.
