Answer:
<em>The shop made a profit about $40.</em>
<em>Step-by-step explanation:</em>
<em>Now, According to the question We know that :</em>
<em>The shop marked the $200 price up by 60%.</em>
<em>60% of $200 is = $120. </em>
<em>Now, the price is = $320 because, 200 + 120 = 320. </em>
<em />
<em>Joseph bought the tennis racket at 25% off.</em>
<em>25% of $320 is = $80.</em>
<em>Now, the discount price is = $240 Because, 320 - 80 = 240.</em>
<em />
<em>So, Joseph bought the racket for = $240.</em>
<em />
<em>Now we know that the original price from the factory was $200.</em>
<em>Joseph bought it for $240.</em>
<em>So, the shop made a profit of $40.</em>
The equation of a circle:
(h, k) - center
r - radius
Look at the picture:
center: (4, -2) → h = 4, k = -2
radius: r= 5
Substitute:
Answer: x^2 - 14x + 49
Explanation:
1) Divide the coefficient of x by 2:
14 / 2 = 7
2) so you have to add 7^2 = 49
x^2 - 14x + 49
3) that trinomial is equivalent to:
=> (x - 7)^2
4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2
(x - 7)^2 = x^2 - 14x + 49
Then you have to add 49 to complete the square. and form a perfect square trinomial.
