Two hourglasses are turned over at the exact same time. The first hourglass contains 300 grams of sand in the upper bulb and sand flows down into the lower bulb at a rate of 5 grams per minute. The second hourglass contains 200 grams of sand in the upper bulb and sand flows down into the lower bulb at a rate of 2 grams per minute. The system of equations below model the amount of sand remaining, y, in the upper bulbs of the hourglasses after x minutes.

First, select the point on the graph that represents the solution to the system of equations. Notice that one of the equations in the system has already been graphed.

Then, determine the approximate number of minutes it takes for the amount of sand in the top bulbs of the hourglasses to be equal.

4400

step-by-step explanation:

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

it will take 9 minutes