Answer:
OPTION A: 3x - 1 = ± 5
Step-by-step explanation:
We have (3x - 1)² = 25
In OPTION A, Square root is taken on both sides.
This gives us: 3x - 1 = ± 5. And this is the logical follow - up of the previous step.
IN OPTION B: (a - b)² is wrongly expanded. So, this can not be the next step.
In OPTION C: The square root is taken only on the LHS but not on the RHS. So, it is eliminated.
In OPTION D: The square is expanded on LHS whereas on the RHS square root is taken. So, it is not correct and is eliminated.
Therefore, the correct option is A.
Answer:
No, they are not inverses
Step-by-step explanation:
f(g(x)) --> 2x-4
g(f(x)) --> 2x
Answer:
Step-by-step explanation:
We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.
5g +4b = 60 . . . . . Sylvester's expense
3g +6b = 45 . . . . . Lin's expense
Dividing the second equation by 3 gives ...
g +2b = 15 ⇒ 2b = 15 -g
Substituting into the first equation, we have ...
5g +2(2b) = 60
5g +2(15 -g) = 60 . . . . . substitute for 2b
3g = 30 . . . . . . . . . subtract 30, collect terms
g = 10 . . . . . . . divide by 3
__
2b = 15 -10 = 5 . . . . use the value of g to find b
b = 2.5 . . . . . . . . divide by 2
Mini golf costs $10 per round; batting cages cost $2.50 per turn.
Answer: $16.5/hour
Step-by-step explanation:
The unit rate is the relationship between y and x if x = 1
660/40 = 16.5
That means, if x = 1, y = 16.5
Therefore, <u>$16.5/hour</u>
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T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3
