I think your answer is y=-4/7x+5
Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x²<span> + 10
</span> (4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
<span>
</span>0 = x2 – 9x + 20<span> (liked terms are grouped and simplified)
PROOF: </span> 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
<h2>
Question:</h2>
1) It's February and you go to the store to buy some food for your pets. You have a Great
Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food
cost $60 for the big bag and he eats that in one week. The Savannah cats food cost
$15 a bag and it lasts him one week as well. You are there to buy food for the month
and have no more than $300 total to spend. Can you afford a month's worth of food?
a) If you bought the cat 6 weeks worth of food, how many weeks worth can you
buy your Great Dane?
<h2>
Answer: Yes you can afford </h2><h3>
</h3>