Ebba is buying bulk fabric and shopping for the best deal. Drag the fabric in order from the least to the greatest unit cost in dollars per square yard.

Answers

Answer 1

Answer:

Answer:

From least to greatest in cost is Red, Brown, Purple, Silver.

Step-by-step explanation:

Ebba is buying bulk fabric and shopping for best deal, in order to calculate best deals of fabric we calculate per square yard of each fabric.

Purple : 6.5 square yard = $6.25

Therefore 1 square yard = 6.25 ÷ 6.5 = $0.96

Red : 4 square yard = $3.00

Therefore 1 square yard = 3.00 ÷ 4 = $0.75

Brown : 8.5 square yard = $8.10

Therefore 1 square yard = 8.10 ÷ 8.5 = $0.95

Silver : 6 square yard = $7.20

Therefore 1 square yard = 1.20 ÷ 6 = $1.20

Now we arrange the fabric in order from the least to the greatest unit cost in dollars per square yard.

Red, Brown, Purple and Silver.

Answer 2

Answer: The answer is Red=0.75, Brown=0.95, Purple=0.96, Silver=1.20

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Multiply the following using the vertical multiplication method:3x^2+5x+1
* x^2-2x+4
_________

A. 3x^4-x^3+3x^2+x+4

B. 3x^4+5x^3+10x^2+18x+4

C. 3x^4-x^3+3x^2+18x+4

D. 3x^4+x^3+x^2+x+4

Answers

ANSWER

$3 {x}^(4) - {x}^(3) + 3{x}^(2) + 18x + 4$

EXPLANATION

We want to multiply;

$(3 {x}^(2) + 5x + 1)( {x}^(2) - 2x + 4)$

We use the distributive property to obtain:

$3 {x}^(2) ( {x}^(2) - 2x + 4) + 5x( {x}^(2) - 2x + 4) + 1( {x}^(2) - 2x + 4)$

We expand to get:

$3 {x}^(4) - 6 {x}^(3) + 12 {x}^(2) + 5 {x}^(3) - 10 {x}^(2) + 20x + {x}^(2) - 2x + 4$

Regroup similar terms:

$3 {x}^(4) - 6 {x}^(3) + 5 {x}^(3) + 12 {x}^(2) - 10 {x}^(2) + {x}^(2) + 20x - 2x + 4$

Combine similar terms:

$3 {x}^(4) - {x}^(3) + 3{x}^(2) + 18x + 4$

The correct choice is C.

Final answer:

To multiply polynomials using the vertical multiplication method, multiply each term of one polynomial by each term of the other polynomial and then combine like terms.

Explanation:

To multiply the polynomials using the vertical multiplication method, we need to multiply each term of one polynomial by each term of the other polynomial and then combine like terms. Here are the steps:

Multiply the first term of the first polynomial by each term of the second polynomial.
Multiply the second term of the first polynomial by each term of the second polynomial.
Multiply the third term of the first polynomial by each term of the second polynomial.
Add up all the products to get the final result.

Applying these steps, the correct answer to the given multiplication is