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Arlecino [84]
3 years ago
12

What expression represents the product of 3 less than twice x and 2 more than the quantity 3 times x?

Mathematics
1 answer:
Georgia [21]3 years ago
8 0
"3 less than twice 'x' " . . . . that's (2x - 3)

" 2 more than the quantity (3 x) " . . . . . that's (3x + 2)

Their product is
                               (2x - 3) (3x + 2) .

If you want to expand it to a single expression, perform the multiplication,
and you have
                            6x² - 5x - 6  .
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The product of two rational numbers is 34.77. If one of the numbers is 6.1, what is the other number?
erik [133]

Answer:

5.7

Step-by-step explanation:

6 0
3 years ago
Seven less than the product of a number n and 1/6 is no more than 94
antiseptic1488 [7]

Answer:

  • n ≤ 606

Step-by-step explanation:

<u>Seven less than the product of a number n and 1/6 is no more than 94, translating:</u>

  • n*1/6 - 7 ≤ 94

<u>Solving for n:</u>

  • n/6  ≤ 94 + 7
  • n/6 ≤ 101
  • n ≤ 101*6
  • n ≤ 606
4 0
2 years ago
Please help me!!!!!​ i need full answer.
salantis [7]

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( \frac{x+y}{2})sin (\frac{x-y}{2} )

sin x - sin y = 2cos (\frac{x+y}{2} )sin (\frac{x-y}{2} )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin(\frac{A+B}{2})sin(\frac{A-B}{2} ) ]² + [ 2cos(\frac{A+B}{2} )sin(\frac{A-B}{2} ) ]²

= 4sin² (\frac{A+B}{2} )sin² (\frac{A-B}{2} ) + 4cos² (\frac{A+B}{2} )sin² ( \frac{A-B}{2} )

= 4sin² (\frac{A-B}{2} )[ sin² ( \frac{A+B}{2} ) + cos² ( \frac{A+B}{2} ) ← sin²x + cos²x = 1

= 4sin² ( \frac{A-B}{2} ) × 1

= 4sin² ( \frac{A-B}{2} ) = right side ⇒ proven

4 0
3 years ago
According to the​ research, 43​% of homes sold in a certain month and year were purchased by​ first-time buyers. A random sample
vovangra [49]

Answer Do it

Step-by-step explanation 165 divided by 100 =x times 43

4 0
3 years ago
Eva has £6.05 in her moneybox.
PIT_PIT [208]

Answer:

11 of 20p, 22 of 10p and 33 of 5p

Step-by-step explanation:

Eva has 20p, 10p and 5p coins, total of £6.05 = 605p

Let 20p=x, 10p=y, 5p=z

<u>Then</u>:

  • 20x + 10y + 5z = 605
  • y : x = 2 : 1 ⇒ x= y/2
  • y : z = 2 : 3 ⇒ z= 3y/2

<u>Rewriting the first equation considering next two:</u>

  • 10y + 10y + 7.5y = 605
  • 27.5y = 605
  • y= 605/27.5
  • y= 22
  • x= y/2 = 22/2 = 11
  • z = 3y/2 = 3*11 = 33

<u>Answer:</u> 11 of 20p coins, 22 of 10p coins and 33 of 5p coins

3 0
3 years ago
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