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3 years ago

Factor the following polynomial completely 6x^5-30x^4-84x^3

Mathematics

1 answer:

Andrei [34K]3 years ago

8 0

Answer:

6x^3(x+2)(x-7)

Step-by-step explanation:

1st step: factor out common term, 6x^3(x^2 - 5x - 14)

2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)

3rd step: simplify, 6x^3(x+2)(x-7)

I am joyus to assist :)

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Recipe A calls for 2 cups of sugar and makes 48 cookies. Recipe B calls for 3 cups of sugar and makes 54 of the same

Serga [27]

Answer:

B has more sugar per cookie

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2 years ago

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how much water must be added to a 9-liter solution that contains 3% extract on baneberry to get a solution that contains 2% extr

yuradex [85]

Answer:

Amount water added = 4.5 L

Step-by-step explanation:

Given:

Amount of solution = 9 L

Amount of bane-berry = 3% of 9 L = 0.27 L

Computation:

Assume;

Amount water added = x L

Total solution = 9+x L

New percentage of bane-berry = 0.27x100/(9+x)

2 = 0.27*100/(9+x)

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Amount water added = 4.5 L

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2 years ago

9/20

NISA [10]

For this case we must find the solution of the following quadratic equation:

$x ^ 2 + 5x + 7 = 0$

Where:

$a = 1\\b = 5\\c = 7$

Then, the solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}$

By definition we have: $i ^ 2 = -1$

$x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}$

Thus, we have two complex roots.

Answer:

The equation has no real roots.

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3 years ago

For every 5 chocolate cones sold, 7 vanilla cones are sold. On Monday, 70 chocolate cones were sold. How many cones were sold IN

FromTheMoon [43]

Answer: 168

Step-by-step explanation: 70/5=14. 14x7=98. 70+98=168.

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3 years ago

Amira and Mandisa sell balloon animals at different stands on the boardwalk. They each use a constant number of balloons per ani

MAXImum [283]

Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the number of balloons for x animals.

Amira uses 4 balloons for each animal.

For Mandisa, using the table using (20, 225) and (60, 25):

$slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{25-225}{60-20}=-5$

Therefore Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

Find out more on linear equation at: brainly.com/question/14323743

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2 years ago