Answer:
x = - 3 ± 3![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Step-by-step explanation:
given the equation x² + 6x - 9 = 0
We can solve for x using the quadratic formula
x = ( - b ±
) / 2a
with a = 1, b = 6 and c = - 9
x = ( - 6 ±
) / 2
= ( - 6 ±
) / 2
= ( - 6 ±
) / 2
= ( - 6 ± 6
) / 2
x = - 3 ± 3![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Answer:
80 square units
536.6
Step-by-step explanation:
First one.
2 Trapezoids
A =
x h
A =
x 2
A = 16
One rectangle
A = b x h
A = 6 x 8
A = 48
Total Area = 16 + 16 + 48 = 80
Second one:
Two triangles:
A =
A = ![\frac{10(8.66)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B10%288.66%29%7D%7B2%7D)
A =
A = 43.3
One large rectangle
A = b x h
A = 30 x 15
A = 450
Total Area = 450 + 43.3 + 43.3 = 536.6
Given that 4000 items are checked in one month, let the number of detective items be represented as y.
Quality control finds on average that 0.026% of the items in the factory are detective. This implies that
![\text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20%7D%5Cdet%20ective%5Ctext%7B%20items%20%3D%20%7D%5Cfrac%7B%5Ctext%7B0.026%7D%7D%7B100%7D%5Ctimes%5Ctext%7BTotal%20number%20of%20items%20checked%7D)
When 4000 items are checked, we have the number of detective items to be evaluated as
![\begin{gathered} \text{Number of }\det ective\text{ items = }\frac{\text{0.026}}{100}\times\text{Total number of items checked} \\ y=\frac{0.026}{100}\times4000 \\ \Rightarrow y=1.04 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BNumber%20of%20%7D%5Cdet%20ective%5Ctext%7B%20items%20%3D%20%7D%5Cfrac%7B%5Ctext%7B0.026%7D%7D%7B100%7D%5Ctimes%5Ctext%7BTotal%20number%20of%20items%20checked%7D%20%5C%5C%20y%3D%5Cfrac%7B0.026%7D%7B100%7D%5Ctimes4000%20%5C%5C%20%5CRightarrow%20y%3D1.04%20%5Cend%7Bgathered%7D)
Hence, the number of detective items is 1.04.