f(x) = 4^x
f(1) just means we plug 1 in for x.
4^1 = 4
So, f(1) = 4^1 = 4
Answer:
72 sq ft
Step-by-step explanation:
A square room means ecah side is equal. so 12*12= 144.
12 times 6 (for the height)= 72 sq ft
Answer: D
Explanation: It’s going from least to greatest.
Answer:
(a) 1
(b) 1/2
(c) 1/2
Step-by-step explanation:
![x^2 + y^2 = 5/8 (1)\\\frac{4}{3}xy = \frac{1}{4} (2)\\\\\textrm {From (2) by multiplying both sides by 3/4 we get}\\\\xy = \frac{3}{16} (3)\\\textrm{We know that } (x + y)^2 = x^2 + 2xy + y^2 \\\textrm{Adding 2xy to the LHS and RHS of equation 1 gisues us }\\x^2 + y^2 + 2xy = \frac{5}{8} + 2 * \frac{3}{16} = \frac{5}{8} + \frac{3}{8} = \frac{8}{8} = 1](https://tex.z-dn.net/?f=x%5E2%20%2B%20y%5E2%20%3D%205%2F8%20%281%29%5C%5C%5Cfrac%7B4%7D%7B3%7Dxy%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%282%29%5C%5C%5C%5C%5Ctextrm%20%7BFrom%20%282%29%20by%20multiplying%20both%20sides%20by%203%2F4%20we%20get%7D%5C%5C%5C%5Cxy%20%3D%20%5Cfrac%7B3%7D%7B16%7D%20%283%29%5C%5C%5Ctextrm%7BWe%20know%20that%20%7D%20%28x%20%2B%20y%29%5E2%20%3D%20x%5E2%20%2B%20%202xy%20%2B%20y%5E2%20%5C%5C%5Ctextrm%7BAdding%202xy%20to%20the%20LHS%20and%20RHS%20of%20equation%201%20gisues%20us%20%7D%5C%5Cx%5E2%20%2B%20y%5E2%20%2B%202xy%20%3D%20%5Cfrac%7B5%7D%7B8%7D%20%2B%202%20%2A%20%5Cfrac%7B3%7D%7B16%7D%20%3D%20%5Cfrac%7B5%7D%7B8%7D%20%2B%20%5Cfrac%7B3%7D%7B8%7D%20%3D%20%5Cfrac%7B8%7D%7B8%7D%20%3D%201)
![(x + y)^2 = 1 == > x+y = \sqrt{1} = 1\\\\(x - y)^2 = x^2 -2xy + y^2\\\\\textrm{Subtracting 2xy from both sides of Equation 1}\\x^2 + y^2 - 2xy = \frac{5}{8} - 2*\frac{3}{16} = \frac{5}{8} - \frac{3}{8} = \frac{2}{8} = \frac{1}{4} \\x-y = \sqrt{\frac{1}{4}} = \frac{1}{2}\\\\x^2 - y^2 = (x+y)(x-y) = 1 . \frac{1}{2} = \frac{1}{2}](https://tex.z-dn.net/?f=%28x%20%2B%20y%29%5E2%20%3D%201%20%3D%3D%20%3E%20x%2By%20%3D%20%5Csqrt%7B1%7D%20%20%3D%201%5C%5C%5C%5C%28x%20-%20y%29%5E2%20%3D%20x%5E2%20-2xy%20%2B%20y%5E2%5C%5C%5C%5C%5Ctextrm%7BSubtracting%202xy%20from%20both%20sides%20of%20Equation%201%7D%5C%5Cx%5E2%20%2B%20y%5E2%20-%202xy%20%3D%20%5Cfrac%7B5%7D%7B8%7D%20-%202%2A%5Cfrac%7B3%7D%7B16%7D%20%3D%20%5Cfrac%7B5%7D%7B8%7D%20-%20%5Cfrac%7B3%7D%7B8%7D%20%3D%20%5Cfrac%7B2%7D%7B8%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%20%5C%5Cx-y%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5Cx%5E2%20-%20y%5E2%20%3D%20%28x%2By%29%28x-y%29%20%3D%201%20.%20%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
Answer:
The posters cost $52.07.
Step-by-step explanation:
First, you have to calculate the cost of the 20 posters by multiplying the price per poster for the quantity:
$2.89*20=$57.8
Then, you have to calculate the 15% discount by multiplying the cost for 15% and subtracting that amount from the cost:
$57.8*15%=$8.67
$57.8-$8.67=$49.13
Finally, you have to calculate the 6% of $49.13 and add the result to that amount:
$49.13*6%=$2.94
$49.13+$2.94=$52.07
According to this, the answer is that the posters cost $52.07.