Answer:
1/7
Step-by-step explanation:
Given that:
Using a scale factor of 7 ; the dimension of a rectangle is : 2 inches by 3 inches
In other to obtain the original size of the rectangle, all that is needed is to multiply the sacl d dimension by the reciprocal of the initi. Scale factor used, that is 1 / 7
This gives :
(2 inches by 3 inches) * 1/7
2/7 inches by 3/7 inches
Hence, required scale factor is 1/ 7
Answer:
x = 1 + i, x = 1 - i
Step-by-step explanation:
Make the second equation y = 3x - 1
Substitute: 3x - 1 = 1/2x^2 + 2x
Simplify: 6x - 2 = x^2 + 4x
x^2 + 4x + 2 = 6x
x^2 - 2x + 2 = 0
Complete the square: x^2 - 2x + 1 = - 1
(x - 1)^2 = -1
x - 1 = ± √-1
Take out the negative: x - 1 = ± i
x = 1 + i, x = 1 - i
i is for imaginary number
Lets solve our radical equation
step by step.
Step 1 add 4 to both sides of the equation:


Step 2 square both sides of the equation:



Step 3 expand the binomial in the right hand side:

Step 4 simplify the expression:


Step 5 factor the expression:

Step 6 solve for each factor:
or 
or 
Now we are going to check both solutions in the original equation to prove if they are valid:
For 


The solution
is a valid solution of the rational equation
.
For 



Since -3 is not equal to -5, the solution
is not a valid solution of the rational equation
; therefore,
is an extraneous solution of the equation.
We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.
An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.
Answer: 32
Step-by-step explanation:
if ann bakes 48 cakes in 6 days, it means that she bakes 48/6=8 cakes per day
in 4 days she will bake 8*4=32