Andre bought a box containing x pens. He lost 4 of the pens from the box. He then bought 2 more boxes of pens. The 2 new boxes each contain x pens. Ida bought some of the same boxes of pens that Andre bought. She also had some other pens. To show the total number of pens she has, Ida wrote the expression 4x + 6.Ida puts half of her pens in her school locker. She puts the other half in her desk at home. Andre notices that Ida could have separated all her pens by putting an equal number in 3 places even though the coefficient of 4x is not divisible by 3. A. Write an expression in terms of x to show how many pens Andre has now. B. Explain what each term in Ida’s expression represents. C. Write an expression that shows how many pens Ida puts in each place. D. Explain what must be true about the number of pens in each box. Then, give one possible number of pens in each box and show that Andre’s observation is true.

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 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!

in 2010, the population of the state of california is 37.29 × 10⁶

step-by-step explanation:

population of los angeles = 3.79 × 10⁶

population of california = 9.84 × population of los angeles

                                        = 9.84 × 3.79 × 10⁶

                                        = 37.2936 × 10⁶

                                        = 37.29 × 10⁶

∴ in 2010, the population of the state of california is 37.29 × 10⁶