By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
<h3>What is quadratic equation ?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .
Given work of Penelope is

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
To learn more about quadratic equations visit : brainly.com/question/1214333
Answer:
B) Approximately normal, with mean -0.05 and standard deviation 0.083
Step-by-step explanation:
The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.
Answer:
The diameter will be given by 50 cm ÷ 3.142 = 15.9134 cm
The radius will be 15.9134 ÷2 = 7.9567 cm or about 7.96 cm
The area of a circle is given by \pi × square of radius
Area = 3.142 × 7.96×7.96 = 199.0821 square cm
Answer:
88 lbs
Step-by-step explanation:
22+22(3)=88
Answer:
Number of small candles = 12
Number of large candles = 16
Step-by-step explanation:
Total candles = 28
x + y = 28 ---------------(I)
Cost of 'x' small candles = 4 *x = 4x
Cost of 'y' large candles = 6 *y = 6y
Total amount = $144
4x + 6y = 144 -------------(II)
Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'
(I) * (-4) -4x - 4y = -112
(II) <u> 4x + 6y = 144</u> {Now, add}
2y = 32
y = 32/2
y = 16
Plug in y = 16 in equation (I)
x + 16 = 28
x = 28 - 16
x = 12