What is the factorization of 3x2 – 8x + 5?

Step-by-step explanation:

Factorize means convert and expression into multiple factors.

You have to find to factor that multiplied equals the original equation. Firts of all you split the expression of  square X into 3X an X, so you  guarantee that when you multiply 3X by X, the result is 3X^2.

After doing that, you need to think in numbers that equals the middle term (8X) and the constant (5).

-1 and -5 guarantee you that the multiplication of them results into +5, so you start with those numbers. Then you have to find where to put them in order to find the -8X.

-5 x X = -5X

-1 x 3X = -3X

And adding those two expresion you find the -8X that you need!

Please try to solve it multiplying term by term and check the final equation.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

yes because they have the same amount of green and blur marbles.

step-by-step explanation: