Answer:
w=15
Step-by-step explanation:
2w-5=30
2×15-5=30
30-5=25
w=15
Answer:
Step-by-step explanation:
A.) 2a+4b-c: Replacing a with 2, b with 3 and c with 4, we get:
2(2) + 4(3) - (4) = 4 + 12 - 4 = 12
B.) 6(a+c)-b: Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.
The work inside parentheses should be done first, resulting in 6(6) - 3.
This comes out to 33.
It's an exponential so we rule out the first one.
It increases with increasing x, so the base must be bigger than one; rule out the second choice.
It looks like (1,10) and (2,100) are on the graph, so that's the third choice,

Answer: B (-2)
Step-by-step explanation:
[log base b of a = c] turns into [b^c = a]
You have log base 5 of 1/25 = ?, so it turns into 5^? = 1/25
This part is sort of guess and check, but we can look at it to find the answer pretty easily. First, it's 1/n, so we should use a negative power: 5^-1 = 1/5
In addition to being in the denominator, it's 25, which is 5^2.
So, if we want to put it in a reciprocal as well as square it, we can use -2:
5^(-2) = 1/(5^2) = 1/25
Since -2 (B) is the exponent we place on 5 to get 1/25, it is also the answer to log base 5 of 1/25.
9514 1404 393
Answer:
- x = x+1
- 0 = x+1
- x+1 = x+1
Step-by-step explanation:
1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.
If we choose to make our equation ...
x = x +1
Subtracting x from both sides of the equation gives ...
0 = 1
There is no value of the variable that will make this be true.
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2. Something that reduces to x = c will have one solution. One such equation is ...
0 = x+1
x = -1 . . . . subtract 1 from both sides
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3. Something that reduces to x = x will have an infinite number of solutions.
One such equation is ...
x+1 = x+1
Subtracting 1 from both sides gives ...
x = x . . . . true for all values of x