Answer:
1:21
Step-by-step explanation:
Easiest trick way to do this is do 26/546 on your calculator (if you got a scientific one) this would simplify this to its lowest fraction which can be converted into a ratio in this case the ratio of teachers to students is 1:21
5. 1,000,000
6. 9,300
7. 5,070
8. 5, 280
9. 810
10. 220
11. 44,770
12. 76, 000
Those are a few answers for you. Try looking back at your notes (If you copied any) to figure out your problems :)
Inches and centimeters are different units of measurement, one English, one metric. Converting from one to the other requires use of a conversion factor.
One such factor can be derived from 1 inch = 2.54 cm. This means that one inch is 2.54 times longer than one cm.
Answer:
-3 < x ≤ -1
Step-by-step explanation:
we know that
The solution of the graph is equal to the interval
All real numbers greater than -3 and less than or equal to -1
so the combined inequality is equal to -3 < x ≤ -1!!!!
Explanation:
It helps to understand the process of multiplying the binomials. Consider the simple case ...
(x +a)(x +b)
The product is ...
(x +a)(x +b) = x² +(a+b)x + ab
If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.
If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).
___
Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.
<u>Example</u>:
x² -x -6
-6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.
-6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)
The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.
x² -x -6 = (x -3)(x +2)
