I'll just help quickly with a couple of expressions that are equivalent.
3(m+5+9m)
If you solve it out, you get 3m+15+27m.
Simply the expression to get 30m+15.
You can regroup to make another expression 5(6m+3) which is also equal.
50-6x=y
since each car wash is 6 dollars and you do not know the number of cars washed it is 6x
50-6x is because you need to find out how much is left in the card so you subtract the total from how much she spent
Answer:
720 pounds
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Number of mangoes in a barrel = 400
Each mango weight = 1.8 pounds
So, we can calculate the total weight of mangoes by using following formula,
Total weight = Number of mangoes in a barrel × Each mango weight
By putting value, we get
Total weight = 400 × 1.8 pounds
= 720 pounds
The given <span>polynomial is ⇒⇒⇒ </span><span>f(x) = x³ - 3x² + 81x - 243
</span>
by factoring the absolute term (243) to find one of the factors of the the polynomial
∴ 243 = (1 * 243) or (3 * 81) or (9 * 27)
check which of the numbers {1 , 3 , 9 , 27 , 81 , 243} make f(x)<span>= 0
</span>
i have checked 3 and it makes <span>polynomial = 0
</span>
i.e: f(3) = 0 ⇒⇒ (x - 3) is one of the factors of f(x)
By using the reminder theorem ⇒⇒ see the attache figure
∴

And ⇒⇒ (x² + 81) is a sum of two squares which can be factored using the complex numbers as following
x² + 81 = ( x + 9i ) ( x - 9i )
∴ f(x) = <span>
x³ - 3x² + 81x - 243 = (x - 3)(x + 9i)(x - 9i)</span>
9 and 4. 9*4 = 36, 9 + 4 =1 1.