Answer:
Step-by-step explanation:
![\displaystyle = \frac{x+7}{x^2+4x-21} \div \frac{x+5}{x^2+8x+15} \\\\Apply \ mid-term \ break\\\\= \frac{x+7}{x^2 +7x-3x-21} \div \frac{x+5}{x^2 +3x+5x+15} \\\\= \frac{x+7}{x(x+7)-3(x+7)} \div \frac{x+5}{x(x+3)+5(x+3)} \\\\Taking \ (x+3) \ and \ (x+7) \ common\\\\= \frac{x+7}{(x-3)(x+7)} \div \frac{x+5}{(x+3)(x+5)} \\\\= \frac{1}{x-3} \div \frac{1}{x+3} \\\\= \frac{1}{x-3} * (x+3)\\\\= \frac{x+3}{x-3} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%5E2%2B4x-21%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%5E2%2B8x%2B15%7D%20%5C%5C%5C%5CApply%20%5C%20mid-term%20%5C%20break%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%5E2%20%2B7x-3x-21%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%5E2%20%2B3x%2B5x%2B15%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%28x%2B7%29-3%28x%2B7%29%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%28x%2B3%29%2B5%28x%2B3%29%7D%20%5C%5C%5C%5CTaking%20%5C%20%28x%2B3%29%20%5C%20and%20%5C%20%28x%2B7%29%20%5C%20common%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7B%28x-3%29%28x%2B7%29%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7B%28x%2B3%29%28x%2B5%29%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7Bx-3%7D%20%5Cdiv%20%5Cfrac%7B1%7D%7Bx%2B3%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7Bx-3%7D%20%2A%20%28x%2B3%29%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B3%7D%7Bx-3%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
9514 1404 393
Answer:
y +1 = -3(x -3)
Step-by-step explanation:
The given point is (3, -1), and the given slope is -3. The form suggests you want the point-slope form of the equation for the line:
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
Using the given values, the equation is ...
y -(-1) = -3(x -3)
y +1 = -3(x -3)
Answer:
D.
Step-by-step explanation:
Well there are 3 2's so 3 / 6 = 1/2
Answer:
25/208 or 12.2%
Step-by-step explanation:
P(heart) = 13/52 = 1/4
P(red) = 26/52 = 1/2
because we are not replacing the first card drawn, the deck has 51 cards remaining
P(heart, red) = 1/4 × 25/52
= 25/208 or 12.2%
If you're looking to put them in order from least to greatest , it'll be 1 3/10 , 1.6 , 1 5/8 . You have to make the fractions into decimals
