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Effectus [21]
2 years ago
7

What is the product of (x − 3) and (x + 7)?

Mathematics
2 answers:
lidiya [134]2 years ago
5 0

              - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - -

\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond

           What is the product of (x-3) and (x+7)?

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond

          First multiply the x's:-

x•x=x²

Now multiply x times 7:-

7x

So we have

x²+7x

Now multiply -3 times x:-

-3x

So we have

x²+7x-3x

Now multiply 7 and -3:-

x²+7x-3x-21

On simplification,

x²+4x-21

<h3>Good luck.</h3>

            - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Alisiya [41]2 years ago
5 0
X times X +(-3) times X + X times 7 +(-3) times (7)=x^2 -3x +7x -21
= x ^2 +4x-21
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How many solutions are there to the equation below 9x + 27 = 9( x + 2 ) + 9
Nataly [62]

Let's solve the equation:

9x+27 = 9(x+2)+9 ← Distribute 9 to the x and 2

9x+27 = 9x+18+9 ← Combine like terms

9x+27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x


Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.


7 0
3 years ago
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What is Rational Number​
abruzzese [7]
Rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.
8 0
2 years ago
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A team pays $50 to reserve a banquet table. The players on the team pay
Margaret [11]

Answer:

6 players

Step-by-step explanation

Since the team has to pay $50 to reserve a table, you need to subtract this fixed cost from $104. Then you divide the total variable cost, $54, by what each player has to pay, $9, to find how many players sit at the team table.

6 0
3 years ago
What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?
Marina86 [1]

Answer:

1. 0.04b. <u>0.04b is 2% of 2b. It is smaller than 2b by 98%.</u>

2. 0.2b. <u>0.2b is 10% of 2b. It is smaller than 2b by 90%.</u>

3. 0.56b. <u>0.56b is 28% of 2b. It is smaller than 2b by 72%.</u>

<u>4. </u>1.8b. <u>1.8b is 90% of 2b. It is smaller than 2b by 10%.</u>

<u>5. </u>2.5b. <u>2.5b is 125% of 2b. It is larger than 2b by 25%.</u>

<u>6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.</u>

Step-by-step explanation:

1. 0.04b

<u>For all the cases, we will use Rule of Three, this way.</u>

Percentage * 2 = 100 * 0.04

Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)

Percentage = 4/2 = 2%

<u>0.04b is 2% of 2b. It is 98% smaller than 2b.</u>

<u>For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.</u>

2. 0.2b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.2

Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)

Percentage = 20/2 = 10%

<u>0.2b is 10% of 2b. It is 90% smaller than 2b.</u>

3. 0.56b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.56

Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)

Percentage = 56/2 = 28%

<u>0.56b is 28% of 2b. It is 72% smaller than 2b.</u>

<u>4. </u>1.8b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 1.8

Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)

Percentage = 180/2 = 90%

<u>1.8b is 90% of 2b. It is 10% smaller than 2b.</u>

5. 2.5b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 2.5

Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)

Percentage = 250/2 = 125%

<u>2.5b is 125% of 2b. It is 25% larger than 2b.</u>

<u>In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.</u>

<u>6. </u>3b.

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 3

Percentage = (100 * 3)/2 (Dividing by 2 at both sides)

Percentage = 300/2 = 150%

<u>3b is 150% of 2b. It is 50% larger than 2b.</u>

<u>In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.</u>

6 0
3 years ago
What is the third quartile of {6, 9, 16, 11, 12, 16, 5, 14, 5}
Evgen [1.6K]
12 is the median

Q1 is 12.5

Q3 is 9.5


The answer is 9.5


Hope this helps!
8 0
3 years ago
Read 2 more answers
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