Answer:
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is
Answer:
Step-by-step explanation:
Given
To find:
First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function
Squaring the first function
Now subtracting g(x) from [f(x)]^2
Combining alike terms
Hence,
Subtracting g(x) from the square of f(x) gives us:
X=3 x 4 = 57 is the answer
He will need 15 loads to cover his entire driveway.
1/5 of the driveway would be 3 loads
3x5=15
For 20 months, Molly deposited $86.50, so she deposited a total of 86.5 * 20, namely 1730 bucks.
now, every month she deflated her account by $24.50 to pay for her singing lessons, she did that every month, namely for 20 months so she deflated the account balance by 24.5 * 20, or 490 bucks.
so, she deposited 1730 and deflated it by 490, 1730 - 490 = 1240, that's all that's left in the account.
for the Summer Camp, she spent 1/4 of that, what's a quarter of that? well is just their product, (1/4) * 1240.