FACTORISATION IS BASICALLY FINDING LIKE-TERMS.
1. FIND THE HCF OF 8. HERE, THE HCF IS 8. ALSO, CHECK ALL THE LIKE-TERMS. LIKE-TERMS ARE OUTSIDE THE BRACKET AND UNLIKE TERMS ARE INSIDE.
2. ADD THE TERMS IN THE BRACKET AND THE TERMS OUTSIDE THE BRACKET FROM STEP 1.
8x + 8y + rx + ry
1. 8 (x + y) + r (x + y)
2. (x +y) (8+r)
Let the amount invested with 5% interest be x
Therefore, the amount invested with 6% interest will be (6000-x)
It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:
Multiplying both sides by 100 we get:
Subtracting both sides by 36000 we get:
Thus, the amount invested at 5% is $2250
Therefore, the amount invested at 6% will be $(6000-2250)=$3750
Answer:
f^-1(x) = 9(x+2)
Step-by-step explanation:
To find the inverse function, exchange x and y and then solve for y
y = 1/9 x -2
Exchange x and y
x = 1/9 y-2
Solve for y
Add 2 to each side
x+2 = 1/9 y-2+2
x+2 = 1/9y
Multiply each side by 9
9(x+2) = 9*1/9y
9(x+2) = y
The inverse function
f^-1(x) = 9(x+2)
To multiply a whole number by a fraction less than one, you have to rewrite the whole number in the expression as a fraction by putting a one under it.
For example, in 10 x 2/5, you would rewrite the 10 to 10/1 x 2/5.
Then, you would multiply the top and bottom of the two fractions. In this case, it would be 10 x 2 and 1x5. This would result in 20/5.
Finally, you would simplify this fraction by dividing. The final answer is 4.
19) 15 <= 9 + 3x
15) x = 23,24,25
17) x <= 115
9) Second line
11) g > 20, don't fill in dot, any number greater than 20
1) -3 + h<= 3.4
3) No, x > -2
5) x > 14, don't fill in dot, any number greater than 14
7) k<=20, fill in dot, 20 or any larger number
(took me while to type this out lol cause on mobile)
