Cara's Candles Cara likes candles. She also likes mathematics and was thinking about using algebra to answer a question she had about two of her candles. Her taller candle is 16 cm tall. Each hour it burns makes the candle lose 2.5 cm in height. Her short candle is 12 cm tall and loses 1.5 cm in height for each hour that it burns.

Write an equation for both candles and solve it by either substitution or elimination.

(If someone could please help me out with this, I would really appreciate it. I've been trying to do this for days now and I just can't figure it out..)
(By the way, the equation for the 16 cm candle is y = -2.5x + 16, and the equation for the 12 cm candle is y = -1.5x + 12, I just don't know how to solve it using substitution or elimination.)​

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!

b is the correct answer

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.