Answer: 112.5
Step-by-step explanation:
The question really is asking whats 45% of 250
1. Calculate 10% of the total
2. Calculate 5% of the total
3. Solve for 40% of the total
4. Add 5% of the total
1. 10% of 250
250 = 100%
*divide both sides by 10*
25 = 10%
2. 5% of 250
25 = 10%
*divide both sides by 2*
12.5 = 5%
3. 40% of 250
10% + 10% + 10% + 10% = 40%
25 + 25 + 25 + 25 = 40%
50 + 50 = 40%
100 = 40%
4. 45% of 250
100 = 40%
12.5 = 5%
100 + 12.5 = 40% + 5%
<em>112.5 = 45%</em>
I know its a long problem but i have to shiw how i got my answer.
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
_____
<h3>f(x) = -1/4·2^(x+1) -1</h3>
You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)
The concept of radicals and radical exponents is tricky at first, but makes sense when we look into the logic behind it.
When we write a radical in exponential form, like writing √x as x^(1/2), we are simply putting the power of the radical in the denominator (bottom number) of the exponent, and the numerator is the power we raise the exponent to, or the power that would be inside the radical.
In our example, √x is really ²√(x¹), or the square root of x to the first power. For this reason, we write it as x^(1/2).
Let's say we wanted to write the cubed root of x squared, in exponential form.
In radical form, it would look like this:
³√(x²) . This means we square x, and then take the cubed root.
In exponential form, remember that we take the power of the radical (3), and make that the denominator of the exponent, and keep the numerator as the power that x is raised to (2).
Therefore, it would be x^(2/3), or x to the 2 thirds power.
Just like when multiplying by a fraction, you multiply by the numerator and divide by the denominator, in exponential form, you raise your base number to the power of the numerator, and take the root of the denominator.
