Answer:
See explanation
Step-by-step explanation:
1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as
2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.
In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.
3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:
4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:
5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:
6. Rewrite the original problem with four terms by splitting the middle term into the two numbers chosen in step 5:
7. Now that the problem is written with four terms, you can factor by grouping:
Answer:
(2 x - 3)^2 thus it's True
Step-by-step explanation:
Factor the following:
4 x^2 - 12 x + 9
Factor the quadratic 4 x^2 - 12 x + 9. The coefficient of x^2 is 4 and the constant term is 9. The product of 4 and 9 is 36. The factors of 36 which sum to -12 are -6 and -6. So 4 x^2 - 12 x + 9 = 4 x^2 - 6 x - 6 x + 9 = 2 x (2 x - 3) - 3 (2 x - 3):
2 x (2 x - 3) - 3 (2 x - 3)
Factor 2 x - 3 from 2 x (2 x - 3) - 3 (2 x - 3):
(2 x - 3) (2 x - 3)
(2 x - 3) (2 x - 3) = (2 x - 3)^2:
Answer: (2 x - 3)^2
Answer:
-0.2
Step-by-step explanation:
In order to list the measurements from smallest to largest, we convert all the measurement to a common unit. In this item, we convert the given to meters, m.
A. The conversion factor to be used here is 1 m = 100 cm
(7 cm)(1 m / 100 cm) = 0.07 m
B. Conversion factor: 1 m = 1000 mm
(18 mm) (1 m / 1000 mm) = 0.018 m
C. Let us list this as is, 1 m
D. The conversion factor here is 1 m = 10 dm
(3 dm)(1 m / 10 dm) = 0.3 m
By the converted values, we are then able to arrange the given measurements.Hence, the arrangement should be 18 mm, 7 cm, 3 dm, and 1 m.
Answer:
72km
Step-by-step explanation:
10 miles =16km
45milrs=x km
xkm= 16*45/10
=72km
