Acompany sells boxes of small blue pom-poms (b) for $42 and boxes of large orange pom-poms (p) for $52. they make batches of small blue pom-poms that fill 8 boxes and batches of large orange pom-poms that fill 4 boxes. the company only has 40 boxes. which system of equations the company plan to make $350? a.
b = 40 - p
8b + 4p = 40
b.
b = 40 - p
42b + 52p = 350
c.
8b = 40 - 4p
42b - 52p = 350
d.
8b = 40 - 4p
42b + 52p = 350

b = 40 - p

42b + 52p = 350

Step-by-step explanation:

Given : No. of small blue pom-pom boxes = b

            No. of large orange pom-poms    = p

           cost of 1 box of blue pom pom = $42

           cost of one  large orange pom-pom box = $52

Solution:

Since we are given that the company has only 40 boxes

⇒b+p=40

⇒b=40-p

Since cost of 1 box of blue pom pom = $42

So, cost of b box of blue pom pom = $42b

Since,cost of one  large orange pom-pom box = $52

So,cost of p  large orange pom-pom box = $52p

We are also given that the company plan to make $350

⇒42b+52p=350

Hence Option b is correct

b = 40 - p

42b + 52p = 350

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.

x=6 and x=3

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