Answer:
x = -3 and x = 1/2
Step-by-step explanation:
To find the solutions to
2x² + 5x - 3 = 0
we can use the quadratic formula, as follows:
![x = \frac{-b \pm \sqrt{b^2- 4(a)(c)}}{2(a)}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-%204%28a%29%28c%29%7D%7D%7B2%28a%29%7D%20)
![x = \frac{-5 \pm \sqrt{5^2- 4(2)(-3)}}{2(2)}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B-5%20%5Cpm%20%5Csqrt%7B5%5E2-%204%282%29%28-3%29%7D%7D%7B2%282%29%7D%20)
![x = \frac{-5 \pm 7}{4}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B-5%20%5Cpm%207%7D%7B4%7D%20)
![x_1 = \frac{-5 + 7}{4}](https://tex.z-dn.net/?f=%20x_1%20%3D%20%5Cfrac%7B-5%20%2B%207%7D%7B4%7D%20)
![x_1 = 0.5](https://tex.z-dn.net/?f=%20x_1%20%3D%200.5%20)
![x_2 = \frac{-5 - 7}{4}](https://tex.z-dn.net/?f=%20x_2%20%3D%20%5Cfrac%7B-5%20-%207%7D%7B4%7D%20)
![x_2 = -3](https://tex.z-dn.net/?f=%20x_2%20%3D%20-3%20)
Answer:
4√3
Step-by-step explanation:
Use the acronym SOH CAH TOA and pick your angle. Im gonna pick the 30 degree angle. From the 30 degree angle, the x side is the hypotenuse, and the 2√3 is the opposite. I need to find H and O, which is the SOH part of my acronym.
Therefore Sin 30 = O/H. Then SIN 30 = 2√3/x.
We multiply both sides by x ⇒ x × sin 30 =2√3
Lastly we divide by sin 30. x = 2√3/ sin 30
We know that sin 30 is 1/2.
2√3 ÷ 1/2 (keep change flip) ⇒2√3 ×2 ⇒4√3
Sin 30 is equal to
Answer:
The equal number of books that is arranged on 16 empty shelves is 36 .
Step-by-step explanation:
Given as :
The total number of books Miguel need to arrange = 576
The total number of empty shelves = 16
Let The total number of books arrange on each shelves = x
So , According to question
The total number of books Miguel need to arrange = The total number of empty shelves × The total number of books arrange on each shelves
I.e 576 = 16 × x
Or, x = ![\frac{576}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B576%7D%7B16%7D)
∴ x = 36
Hence The equal number of books that is arranged on 16 empty shelves is 36 . Answer
32 or less do to how he cant pick any more than 32 becuase he only has 32