Answer:
3 and 23 Over 32
Step-by-step explanation:
Done
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Change each mixed fraction to improper
3 2/5 = 15/5 + 2/5 = 17/5
9 1/10 = 90/10 + 1/10 = 91/10
Find a common denominator. Multiply 2 to both numerator and denominator of 17/5
17/5(2/2) = 34/10
34/10 + 91/10 = 125/10
125/10
Simplify. Divide
125/10 = 12.5
12.5 is your answer
hope this helps
A: (x + 5i)^2
= (x + 5i)(x + 5i)
= (x)(x) + (x)(5i) + (5i)(x) + (5i)(5i)
= x^2 + 5ix + 5ix + 25i^2
= 25i^2 + 10ix + x^2
B: (x - 5i)^2
= (x + - 5i)(x + - 5i)
= (x)(x) + (x)(- 5i) + (- 5i)(x) + (- 5i)(- 5i)
= x^2 - 5ix - 5ix + 25i^2
= 25i^2 - 10ix + x^2
C: (x - 5i)(x + 5i)
= (x + - 5i)(x + 5i)
= (x)(x) + (x)(5i) + (- 5i)(x) + (- 5i)(5i)
= x^2 + 5ix - 5ix - 25i^2
= 25i^2 + x^2
D: (x + 10i)(x - 15i)
= (x + 10i)(x + - 15i)
= (x)(x) + (x)(- 15i) + (10i)(x) + (10i)(- 15i)
= x^2 - 15ix + 10ix - 150i^2
= - 150i^2 + 5ix + x^2
Hope that helps!!!
A is the right option! Because 0.40 should be in second equation with the x to represent the number of stamps multiply by 40 cents.
Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
