Answer:
Add 3 to both sides, so you will have
x^2 - 8x + 13 + 3 = 3
x^2 -8x + 16 = 3
And now the left side is a perfect square trinolmial: (x-4)^2.
Step-by-step explanation:
Hope this helps:)
Answer:
5+3 x 4 sorry this one is kinda easy lol -_-||
Step-by-step explanation:
![5x+y=-10\\ \\ 7x-3y=-36](https://tex.z-dn.net/?f=5x%2By%3D-10%5C%5C%20%5C%5C%207x-3y%3D-36)
Let's multiply the first equation by 3. (As you can see y's coefficient in the first one is 1 and in the second one is -3 , we will multiply the first equation by 3 so when we add the equations their sum will be 0)
![3\cdot (5x+y)=3\cdot -10\\ \\ 15x+3y=-30](https://tex.z-dn.net/?f=3%5Ccdot%20%285x%2By%29%3D3%5Ccdot%20-10%5C%5C%20%5C%5C%2015x%2B3y%3D-30)
Now let's add this new equation and our second equation.
![7x-3y=-36\\ \\ 15x+3y=-30\\ \\ (15x+3y)+(7x-3y)=(-30)+(-36)\\ \\ 15x+7x+3y-3y=-30-36\\ \\ 22x=-66\\ \\ x=\frac { -66 }{ 22 } \\ \\ x=-3](https://tex.z-dn.net/?f=7x-3y%3D-36%5C%5C%20%5C%5C%2015x%2B3y%3D-30%5C%5C%20%5C%5C%20%2815x%2B3y%29%2B%287x-3y%29%3D%28-30%29%2B%28-36%29%5C%5C%20%5C%5C%2015x%2B7x%2B3y-3y%3D-30-36%5C%5C%20%5C%5C%2022x%3D-66%5C%5C%20%5C%5C%20x%3D%5Cfrac%20%7B%20-66%20%7D%7B%2022%20%7D%20%5C%5C%20%5C%5C%20x%3D-3)
We found x=-3
Now let's plug x's value in one of the equations to find y's value.
![x=-3\\ \\ 5x+y=-10\\ \\ 5\cdot -3+y=-10\\ \\ -15+y=-10\\ \\ y=-10+15\\ \\ y=5](https://tex.z-dn.net/?f=x%3D-3%5C%5C%20%5C%5C%205x%2By%3D-10%5C%5C%20%5C%5C%205%5Ccdot%20-3%2By%3D-10%5C%5C%20%5C%5C%20-15%2By%3D-10%5C%5C%20%5C%5C%20y%3D-10%2B15%5C%5C%20%5C%5C%20y%3D5)
So we found y=5
Solution ;
(-3, 5)
Answer:
The original price of the sweatshirt was $127.50
Step-by-step explanation:
$40.80 / .32(32%) = $127.50
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating relative frequency
![Relativefrequency=\frac{number\text{ of required events}}{number\text{ of total events}}](https://tex.z-dn.net/?f=Relativefrequency%3D%5Cfrac%7Bnumber%5Ctext%7B%20of%20required%20events%7D%7D%7Bnumber%5Ctext%7B%20of%20total%20events%7D%7D)
STEP 2: Calculate the relative frequency
![\begin{gathered} number\text{ of club}=12 \\ number\text{ of total cards}=52 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20number%5Ctext%7B%20of%20club%7D%3D12%20%5C%5C%20number%5Ctext%7B%20of%20total%20cards%7D%3D52%20%5Cend%7Bgathered%7D)
By substitution,
![Relative\text{ }frequency=\frac{12}{52}=\frac{3}{13}](https://tex.z-dn.net/?f=Relative%5Ctext%7B%20%7Dfrequency%3D%5Cfrac%7B12%7D%7B52%7D%3D%5Cfrac%7B3%7D%7B13%7D)
The relative frequency in a fraction in its simplest form is 3/13