I got 65/153 since you actually multiply by the reciprocal of the second fraction.
Answer:
10y^2-3xy+6x
Step-by-step explanation:
Let x = small number
Let y = large number
Because they are consecutive even numbers,they must have a difference of 2:
y-x=2
y=2+x
Eqn 1: x+(2+x)=14
Eqn 2: x(2+x)=48
2x+2=14
2x=12
x=6
This means y must be 8
so your two numbers are 6 and 8
Answer:
The solutions are a₁ = -4/19 i, a₂ = 4/19 i and a₃ = -1/4
Step-by-step explanation:
Given the equation 76a³+19a²+16a=-4, for us to solve the equation, we need to find all the factors of the polynomial function. Since the highest degree of the polynomial is 3, the polynomial will have 3 roots.
The equation can also be written as (76a³+19a²)+(16a+4) = 0
On factorizing out the common terms from each parenthesis, we will have;
19a²(4a+1)+4(4a+1) = 0
(19a²+4)(4a+1) = 0
19a²+4 = 0 and 4a+1 = 0
From the first equation;
19a²+4 = 0
19a² = -4
a² = -4/19
a = ±√-4/19
a₁ = -4/19 i, a₂ = 4/19 i (√-1 = i)
From the second equation 4a+1 = 0
4a = -1
a₃ = -1/4
Answer: 75ml
Step-by-step explanation:
The volume of a rectangular prism is:
= Length × width × height
where,
Volume = 22500ml³
Length = Unknown
Width = 50ml
Height = 6ml
We then slot the values into the formula.
Volume = Length × width × height
22500 = Length × 50 × 6
22500 = Length × 300
Length = 22500/300
Length = 75ml
The length of the cellular phone is 75ml.
