Equivalent equations are equations of equal values
The system of equations from the given equation are:
and 
The logarithmic equation is given as:
Split the above equation as follows:
Rewrite as:
Hence, the system of equations from the given equation are:
and
Read more about systems of equations at:
brainly.com/question/14265399
Answer:
357
Step-by-step explanation:
A) We replace x = - 5 and u = 3 into -3x^3 -2y^2
and we have -3x^3 -2y^2= -3*(-5)^3 -2*3^2= -3*(-125)- 2*9
or -3x^3 -2y^2 = 375-18= 357
The answer is 357.
B) Replace h = -2 into h^2-3h+2
we have h^2-3h+2 = (-2)^2 -3*(-2) +2 = 4 +6 + 2= 12
The answer is 12
Have a good day.
First car is x
second car is y
25x+30y=1550
x+y=55
Multiply the second equation by -25 for elimination method to cancel out x
-25x-25y=-1375
Add the two equations
5y=175
y=35
Plug this value into the second equation
x+35=55
x=20
Final answers:
First car=20 gallons
Second car=35 gallons
Answer:
5 cm
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth and h is height )
Here l = 20, h = 12, V = 1200 and b is to be found, thus
20 × b × 12 = 1200, that is
240b = 1200 ( divide both sides by 240 )
b = 5
Answer:
There are 21 blue marbles
Step-by-step explanation:
In this question, we are asked to calculate the number of blue marbles in a bag that contains a total of 60 marbles, given the probability of choosing a blue marble.
Mathematically, the probability of choosing a blue marble can be represented as:
P(B) = number of blue marbles/ Total number of marbles
From the question, we can identify that P(B) is 0.35, number of Marbles is unknown while the total number of marbles is 60.
We insert these values in the equation;
0.35 = number of blue marbles/60
Hence, number of blue marbles = 60 * 0.35 = 21
