f(3x - 1) = 6x - 1
Rewrite 6x - 1 as a function of 3x - 1:
6x - 1 = 6x - 2 + 1 = 2(3x - 1) + 1
That is,
f(3x - 1) = 2(3x - 1) + 1
which means
f(x) = 2x + 1
and so
f(0) = 2*0 + 1 = 1
Answer:
Here's 3 ordered pairs:
(0,-13)(1,-10)(2,-7)
Step-by-step explanation:
They should all be correct. It doesn't matter which one you choose.
Answer:
1 hour
Step-by-step explanation:
Let the number of hours bowled by Isaiah and Wanda be X
Isaiah spent 16 dollars on shoe rental and 2X on bowling
Wanda spent 13 dollars on shoe rental and 5X on bowling
Since they spent the same amount, set up an equation
16+2X=13+5X
subtract 2X on either side, then subtract 13 from either side we get
3X=3
divide both sides by 3
X=1
This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
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OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.


Answer:
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=300 (1)
5x+8y=300*7
5x+8y=2100(2)
First, you can isolate x in (1):
x=300-y (3)
Now, you can replace (3) in (2):
5(300-y)+8y=2100
1500-5y+8y=2100
3y=2100-1500
y=600/3
y=200
Then, you can replace the value of y in (3) to find x:
x=300-200
x=100
According to this, the answer is that he should use 100 pounds of dried pineapple and 200 pounds of dried apricots.