A coefficient is a number that is attached to a term.
For example:
3x² - 5x + 6 = 0
The coefficient of x² is 3.
The coefficient of x = -5.
Hope this explains it.
7. x=3 is the midpoint between the roots. The other root is x = 2*3 -(-5) = 11.
8a) f(x) = (x +3)^2 -49. The vertex is (-3, -49). The roots are -10, 4.
8b) y = (x+4)^2 -1. The vertex is (-4, -1). The roots are -5, -3.
8c) f(x) = 2(x +3)^2 -34. The vertex is (-3, -34). The roots are -3±√17.
Okay. So to find the unit rate,divide pounds of flour by the number of cups. Turn the mixed numbers into improper fractions, which are 11/2 and 25/16. To divide fractions, keep the fraction the same, change the division symbol into multiplication, and flip the second fraction over. Then, multiply straight across. 11/2 * 16/25 is 176/50 or 3 13/25 in simplest form. To find out if there are more or less than 35 cups of flour in a 10-pound bag, you can round the number to the nearest whole number and multiply it by 10. For the exact unit rate, there are 3 13/25 cups of flour per 1 pound bag. Now, multiply that number by 10. Going back to improper fractions, 176/50 * 10/1 is 1,760/50 or 35 1/5 in simplest form. There are more than 35 cups of flour in a 10-pound bag of flour.
Answer:
10 : 3
Step-by-step explanation:
Convert one of the measurements so that it is in the same form as the other. (Easiest to convert m to cms so we are not working with decimals)
2.5 m = 2.5 x 100 = 250 cm (since there are 100 cm in a meter)
Therefore, as a ratio:
250 : 75
We can divide both by 5:
50 : 15
We can further divide by 5:
10 : 3
(no further simplifying)
So 2.5 m to 75cm as a ratio is 10 : 3
Answer:
Step-by-step explanation:
3ab + 7a² + 2b² - (7a² - 4ab + 2b²) = 3ab + 7a² + 2b² - 7a² + 4ab - 2b²
Now combine like term. Like terms have same variable with same power.
= <u>3ab + 4ab</u> <u>+ 7a² - 7a²</u> + <u>2b² - 2b²</u>
= 7ab
