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MariettaO [177]
3 years ago
15

Iona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7)

Mathematics
2 answers:
Olin [163]3 years ago
7 0

Steps for multiplying the given binomial and trinomial (2x-3)\times (5x^{2}-2x+7) are:

Step 1: 2x\times (5x^{2}-2x+7)-3 \times (5x^{2}-2x+7)

Step 2: 10x^{3}-4x^{2}+14x-15x^{2}+6x-21

Step 3: 10x^{3}-19x^{2}+20x-21

Kisachek [45]3 years ago
6 0

Answer:

10x³ -19x² + 20x -21.

Step-by-step explanation:

Given : (2x – 3)(5x² – 2x + 7).

To find : wrote out the description of each step for her multiplication of the binomial and trinomial.

Solution : We have given

(2x – 3)(5x² – 2x + 7).

Step 1:  Distribute 2x over (5x² – 2x + 7) and - 3 over (5x² – 2x + 7).

2x (5x² – 2x + 7) - 3 (5x² – 2x + 7).

10x³ - 4x² + 14x - 15x² + 6x -21.

Step 2: Combine like terms

10x³ -  4x² - 15x² + 14x  + 6x -21.

Step 3:  Solve the like terms.

10x³ -19x² + 20x -21.

Therefore, 10x³ -19x² + 20x -21.

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Justine charges $25 to wash a dog. She washed 5 dogs on Saturday and then some more on Sunday. She made $325 for the weekend. Ho
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Answer

• A. Equation: 25(5 + x) = 325

,

• B. Answer: 8 dogs

Explanation

Given

• Charge to wash a dog: $25.

• She washed 5 dogs on Saturday and then some more on Sunday.

• She made $325 for the weekend.

Procedure

She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).

Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:

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Then, we have to solve for x to know how many dogs did she wash on Sunday.

0. Multiplying the parenthesis

125+25x=325

<em>2. Subtracting 125 from both sides of the equation</em>

125-125+25x=325-12525x=200

<em>3. Dividing both sides of the equation against 25</em>

\frac{25x}{25}=\frac{200}{25}x=8

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Form the union for the following sets.<br><br> R = {10, 15, 20}<br> S = {20, 25}<br> R ∪ S =
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