Answer: The two roots are x = 3/2 and x = -2
=========================================================
Explanation:
You have the right idea so far. But the two numbers should be 3 and -4 since
The -1 being the coefficient of the x term.
This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.
---------
Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.
If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2
Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x
So we have the factor -x-2 along the top
The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.
We have the factor 2x-3 along the left side.
---------
The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)
The last thing to do is set each factor equal to 0 and solve for x
The two roots are x = 3/2 and x = -2
Answer: x = 995
Step-by-step explanation:
In this equation our log doesn't have a base so it is given the default base of 10. This makes our equation really.
Now we put every equation as the exponent of our base 10 looks like this:
Now we cancel out the log base 10 and the 10. We are left with:
(x+3) + (2) = 10^3
Lastly solve for x
x + 5 = 1000
x = 995
Answer:
Step-by-step explanation:
Given:
A mixture of green paint requires 3/4 pint yellow paint and 2/5 pint blue paint.
Question asked:
How many pints of yellow paint will be needed if the mixture contains one pint of blue paint ?
Solution:
We will easily find quantity of yellow paint, will be needed in the mixture, contains one pint of blue paint by using unitary method:
By using blue paint, yellow paint requires =
By using 1 pint blue paint, yellow paint requires =
Thus, pint yellow paint requires in the mixture with one pint of blue paint.