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AlladinOne [14]
3 years ago
12

Factor completely x3 – 3x2 - 9x + 27

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

x³ - 3x² - 9x + 27

= x²(x - 3) - 9(x - 3)

= (x² - 9)(x - 3)

= (x -3)(x + 3)(x - 3)

= (x + 3)(x - 3)²

Step-by-step explanation:

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If you were to draw the cosx and sinx graph there will be infinite solutions at their interceptions which are the multiple of pi/4
8 0
3 years ago
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys sev
Brilliant_brown [7]

Answer:

If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

Step-by-step explanation:

The information provided is as follows:

  • Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24.
  • Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.

The variable <em>x</em> is the number of pairs of pants.

The total cost function for Kelsey will be:

TC_{K}=17.95\cdot x+24

The total cost function for Jeana will be:

TC_{J}=18.95\cdot x+18

Consider that both pay the same total cost for their purchases.

Compute the value of <em>x</em> as follows:

            TC_{K}=TC_{J}

17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6

Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.

7 0
4 years ago
Ginny paid $4.16 for a sandwich. She paid $0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and f
SashulF [63]

Answer:

$5.01 moneyyyyyy lollll

6 0
3 years ago
Read 2 more answers
Please help I’ll mark you as brainliest if correct
Nat2105 [25]

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

You want k in the equation ...

  scholars = k × teachers

Dividing by teachers, we get ...

  k = scholars/teachers = 75/3 = 25

The constant of proportionality is 25.

3 0
3 years ago
What are the solutions to 16x^2-12x=54? Select all the apply.
lesya692 [45]

Answer:

-3/2 or 9/4

Step-by-step explanation:

16x^2 - 12x = 54

Now, we take 54 to the left side. It leads the right side to become "0". As 54 is a positive, it will negative as we change the side.

16x^2 - 12x - 54 = 0

Dividing both the sides by 2, we get,

8x^2 - 6x - 27 = 0

Now, we use factorization method,

8x^2 + 12x - 18x - 27 = 0

or, 4x (2x + 3) - 9 (2x + 3) = 0

or, (2x + 3) (4x - 9) = 0

Now, 2x + 3 = 0; or, 4x - 9 = 0

2x = - 3; or, 4x = 9 (changing the sides)

or, x = - (3÷2); or, x = (9÷4)

Therefore, the solution set for x is either - 3/2 or 9/4

4 0
4 years ago
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