For question 6
Make x for first one subject of formulae
then it becomes
x=-2y
Substitution means replace your answer in the second part
since x=-2y
3(-2y) +4y = 4
-6y+4y=4
-2y=4
y= 4/-2
y=-2
Now to find x,replace the answer for y in one in the equation
so i replace y=-2 in the first part
x=-2y
x= -2(-2)
x=4
Therefore x=4 and y=-2
To check your answer replace x and y by the values you got and check if you get same answer.
Answer:
C.
Step-by-step explanation:
the subset consists of all the sandwiches with turkey and american cheese
9514 1404 393
Answer:
(e) f′(x)=2xg(x)+x²g′(x)
Step-by-step explanation:
The product rule applies.
(uv)' = u'v +uv'
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Here, we have u=x² and v=g(x). Then u'=2x and v'=g'(x).
f(x) = x²·g(x)
f'(x) = 2x·g(x) +x²·g'(x)
Answer:
See explanation
Step-by-step explanation:
1) Given
2) Given
3) Opposite angles are congruent
4) SAS
5) If two triangles are congruent, all their corresponding sides are equal.
Answer:
P(B/C) = 0.3333
Step-by-step explanation:
let's call B the event that a woman was wearing a belt and C the event that a woman was carrying a purse.
The probability P(B/C) that a woman was wearing a belt, given that the woman was also carrying a purse can be calculated as:
P(B/C) = P(B∩C)/P(C)
Where P(C) is the probability that a woman was carrying purse and P(B∩C) is the probability that the woman was both carrying purse and wearing belt.
So, P(C) is calculated as:
P(C) = 18 / 30 = 0.6
Because there were 30 women that walked by in an hour and of those women, 18 were carrying purses.
At the same way, P(B∩C) is equal to:
P(B∩C) = 6 / 30 = 0.2
Finally, P(B/C) is equal to:
P(B/C) = 0.2/0.6 = 0.3333