Answer:
![x^2 + x -12](https://tex.z-dn.net/?f=x%5E2%20%2B%20x%20-12)
Step-by-step explanation:
If the solutions are x=-4 and x=3, then it must have factors (x+4)(x-3). Assuming there is no GCF or leading coefficient other than 1, multiply with FOIL to find the standard form.
![(x+4)(x-3)\\x^2 + 4x -3x -12\\x^2 + x -12](https://tex.z-dn.net/?f=%28x%2B4%29%28x-3%29%5C%5Cx%5E2%20%2B%204x%20-3x%20-12%5C%5Cx%5E2%20%2B%20x%20-12)
Answer:
Transposing a number is a type of error where two digits swap position in the sequence. An example would be to enter 13 instead of the desired 31. It could also be the error of dropping a needed zero as in writing 15 instead of the desired 150.
Step-by-step explanation:
Unless by "number" you mean musical score. Then transposing is rewriting the score in a new key.
Answer:
A) ![\dfrac{11}{23}](https://tex.z-dn.net/?f=%5Cdfrac%7B11%7D%7B23%7D)
B) ![\dfrac{88}{345}](https://tex.z-dn.net/?f=%5Cdfrac%7B88%7D%7B345%7D)
Step-by-step explanation:
A survey of 46 college athletes found that
- 24 played volleyball,
- 22 played basketball.
A) If we pick one athlete survey participant at random, the probability they play basketball is
![P_1=\dfrac{22}{46}=\dfrac{11}{23}](https://tex.z-dn.net/?f=P_1%3D%5Cdfrac%7B22%7D%7B46%7D%3D%5Cdfrac%7B11%7D%7B23%7D)
B) If we pick 2 athletes at random (without replacement),
- the probability we get one volleyball player is
![\dfrac{24}{46}=\dfrac{12}{23};](https://tex.z-dn.net/?f=%5Cdfrac%7B24%7D%7B46%7D%3D%5Cdfrac%7B12%7D%7B23%7D%3B)
- the probability we get another basketball player is
(only 45 athletes left).
Thus, the probability we get one volleyball player and one basketball player is
![P_2=\dfrac{12}{23}\cdot \dfrac{22}{45}=\dfrac{88}{345}](https://tex.z-dn.net/?f=P_2%3D%5Cdfrac%7B12%7D%7B23%7D%5Ccdot%20%5Cdfrac%7B22%7D%7B45%7D%3D%5Cdfrac%7B88%7D%7B345%7D)
If you paid attention in math, you would know this lol jk.
But you would rewrite it as 5+4