Answer:
see explanation
Step-by-step explanation:
A difference of two squares is factored as
a² - b² = (a - b)(a + b)
(g)
1 - 81y²
= 1² - (9y)²
= (1 - 9y)(1 + 9y)
(j)
64x² - 25y²
= (8x)² - (5y)²
= (8x - 5y)(8x + 5y)
Answer:
9.8
Step-by-step explanation:
Given that a survey of sports fan was conducted counting no of persons whose favourite was football, baseball, basketball and hockey.
Given that 49 like football, 35 baseball, 11 basket ball and 5 hockey
We have to find ratio of football fans to hockey fans.
We find that hockey fans are 5 and football fans are 49
Ratio of football fans to hockey fans =49/5
=9.80
The ratio means if 9.80 football favourite persons are there there would be only one person whose favourite is hockey.
Answer:
No
Step-by-step explanation:
2hours and 37min is not the equivilent to 1hour and 15min
5x + 6y = 272
if you need the y-intercept
y= - 5x/6 + 45.5
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
