Katie ordered candles that cost $3 each from a website. She was charged a flat shipping fee of $6 and no sales tax. If she spent a total of $54, which equation can be used to find c, the number of candles she ordered?

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Step-by-step explanation:

A. 3c = 54

B. 6c = 54

C. 3c + 6 = 54

D. 3c – 6 = 54

As given

Katie ordered candles that cost $3 each from a website.

She was charged a flat shipping fee of $6 and no sales tax.

If she spent a total of $54,

c represented the number of candles .

Equation becomes

Total cost = Cost per candle + Flat shipping fee

54 =  3 × c + 6

54 = 3c + 6

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.