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3 years ago

Turn the equation into factored form Y=x^3+3x^3-6x-8

1 answer:

5 0

Y = x³ + 3x² - 6x - 8, to get the factored form put y = 0,
x³ + 3x² - 6x - 8 = 0, x³ + x² + 2x² + 2x - 8x - 8 = 0,
x²(x + 1) + 2x(x + 1) - 8(x + 1) = 0,
(x + 1)(x² + 2x - 8) = 0, (x + 1)(x² + 4x - 2x -8) = 0,
(x + 1)(x[x + 4] - 2[x +4]) = 0,
(x +1)(x +4)(x - 2) = 0, this is the factored form.
x = -1, -4, 2.

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The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total sales were $1050. How

S_A_V [24]

We know the total tickets sold = 400. Let x be the number of adult tickets sold. That means 400 - x is the number of student tickets. The revenue from adult tickets will be $3 * x, which we can call 3x. The revenue from student ticks will be $2 * (400 - x), or 800 - 2x. The total revenue is $1050, so that means: 3x + (800 - 2x) = 1050. Removing the parentheses: 3x + 800 - 2x = 1050 Subtracting 800 from both sides: 3x - 2x = 250 Simplifying the left side: x = 250, which is the number of adult tickets. 400-x = student tickets = 400-250 = 150. ALWAYS check! In this case, check the revenue: 3x = 3(250) = 750 2(150) = 300 750 + 300 = 1050. Check!

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2 years ago

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Klio2033 [76]

The human ran 0.45 miles per minute.

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2 years ago

Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int

navik [9.2K]

Answer: $28\ cubes$

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

$1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}$

Then the volume of the shipping box is:

$V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3$

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

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3 years ago

Which expression is equivalent to (-7) (-7) (-7)

Virty [35]

I think the answer is -7x(-7)x(-7)

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2 years ago

What is the value of x?

Trava [24]

The sum of a polygon's angles are 540.

When you add all the angles together here, you get 456.

Now subtract 456 from 540.

540 - 456 = 84

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2 years ago