Answer:
![x^2 - 3x -10 = 0](https://tex.z-dn.net/?f=x%5E2%20-%203x%20-10%20%3D%200)
Step-by-step explanation:
Given
Roots = -2 and 5
Required
Write the equation
We have that:
x = -2 and x = 5
Simplify further
x + 2 = 0 or x - 5 = 0
Multiply the results of the above
![(x + 2)(x - 5) = 0](https://tex.z-dn.net/?f=%28x%20%2B%202%29%28x%20-%205%29%20%3D%200)
Open brackets
![x^2 + 2x - 5x -10 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%202x%20-%205x%20-10%20%3D%200)
![x^2 - 3x -10 = 0](https://tex.z-dn.net/?f=x%5E2%20-%203x%20-10%20%3D%200)
Answer:
x = 5.95
Step-by-step explanation:
Given
= 3.5
Multiply both sides by 1.7 to clear the fraction
x = 1.7 × 3.5 = 5.95
Answer: 5.85 x 10 to the power of 6
Step-by-step explanation:
Set up a proportion:
![\frac{660}{35} = \frac{840}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B660%7D%7B35%7D%20%3D%20%5Cfrac%7B840%7D%7Bx%7D%20)
The numerator represents the words in the document, and the denominator represents the seconds it takes to print the document.
You can simplify the first fraction to make multiplication easier. Divide both the numerator and denominator by 5:
![\frac{660}{35} \div \frac{5}{5} = \frac{132}{7}](https://tex.z-dn.net/?f=%20%5Cfrac%7B660%7D%7B35%7D%20%5Cdiv%20%5Cfrac%7B5%7D%7B5%7D%20%3D%20%5Cfrac%7B132%7D%7B7%7D%20)
![\frac{132}{7} = \frac{840}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B132%7D%7B7%7D%20%3D%20%5Cfrac%7B840%7D%7Bx%7D%20)
Cross multiply both fractions:
![132x = (840 \times 7) = 5880](https://tex.z-dn.net/?f=%20132x%20%3D%20%28840%20%5Ctimes%207%29%20%3D%205880%20)
Divide both sides by 132 to get x by itself:
![5880 \div 132 = 44.54](https://tex.z-dn.net/?f=%205880%20%5Cdiv%20132%20%3D%2044.54%20)
![\boxed{x = 44.54}](https://tex.z-dn.net/?f=%20%5Cboxed%7Bx%20%3D%2044.54%7D%20)
It will take 44.54 seconds to print the 840-word document.
Answer: 65 degrees
Step-by-step explanation:
Since cooler means lower, then that means subtraction. So, 13 subtracted from 78 is 65.