Answer:
4x(x - 1)
Step-by-step explanation:
Factor the numerator and denominator
64
- 64x ← factor out 64x from both terms
= 64x(
- 1) ← difference of squares
= 64x(x² - 1)(x² + 1) ← x² - 1 is also a difference of squares
= 64x(x - 1)(x + 1)(x² + 1)
---------------------------------
(8x² + 8)(2x + 2) ← factor out 8 and 2 from each factor
= 8(x² + 1) × 2(x + 1)
= 16(x² + 1)(x + 1)
Then expression can be written as
← cancel (x² + 1) and (x + 1) on numerator/ denominator
= 
← cancel common factor 16 on numerator/ denominator
= 4x(x - 1)
Answer:
Ratio of present ages of Sonal and Manoj = 7:5
Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.
After 10 years, ratio of their ages = 9:7
A/q, 7x+10/5x+10 = 9/7
or 9 (5x+10) = 7 (7x+10)
or 45x + 90 = 49x + 70
or 49x - 45x = 90 - 70
or 4x = 20
or x = 20/4 = 5 .
Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.
present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.
Step-by-step explanation:
You helped me before so thank you
Answer: Orange = 5 rupee
Apple = 6 rupees
Step-by-step explanation:
Let the cost of an orange be x
Let the cost of an apple be y
We can form an equation from the question given which will be:
5x + 3y = 43 ......... i
2x + 4y = 34 ......... ii
Multiply equation i by 2
Multiply equation ii by 5
10x + 6y = 86 ........ iii
10x + 20y = 170 ..... iv
Subtract iii from iv
14y = 84
y = 84/14
y = 6
An apple cost 6 rupees
Since from equation ii
2x + 4y = 34
2x + 4(6) = 34
2x + 24 = 34
2x = 34 - 24
2x = 10
x = 10/2
x = 5
An orange cost 5 rupee
Answer:
See explaination
Step-by-step explanation:
See attachment for diagram
The r value is 0.373 (low). This implies a weak correlation between the dependent and independent variables for this sample.
The overall p- value for the regression model is 0.0017. This implies that at least one of the two independent variables (x1 or x2) in the model is significant predictor of the dependent variable y.
p- values for the both "Fact" and "Star" are < 0.05. This means both the independent variables are significant predictors of the "Rating" at 95% confidence level. The variable "Fact" is significant at 99% level of confidence also. This means the rating viewers award to a movie depends upon both the storyline (fact or Fiction) and the presence or absence of stars.
Expected rating for a fact based movie with no stars = 1.7991(1) + 1.2586(0) + 12.5685 = 14.37
Expected rating for a fiction based movie with a star = 1.7991(0) + 1.2586(1) + 12.5685 = 13.83
So, one may expect a fact based movie without any stars to get better ratings than a fiction based movie with one star.
Second one tell me if im wrong
