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3 years ago

(5x^2 - 3x)(8x^2 + 4x)

Mathematics

1 answer:

timurjin [86]3 years ago

4 0

For this case we have the following expression:

$(5x ^ 2-3x) (8x ^ 2 + 4x)$

To find the product, we apply distributive property that states:

$(a + b) (c + d) = ac + ad + bc + bd$

So:

$(5x ^ 2) (8x ^ 2) + (5x ^ 2) (4x) - (3x) (8x ^ 2) - (3x) (4x) =\\40x ^ 4 + 20x ^ 3-24x ^ 3-12x ^ 2 =\\40x ^ 4-4x ^ 3-12x ^ 2$

ANswer:

$40x ^ 4-4x ^ 3-12x ^ 2$

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3 years ago

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3 years ago

Read 2 more answers

7. Show all work to identify the discontinuity and zero of the function f of x equals 5 x over quantity x squared minus 25.

olganol [36]

Question 1:

For this case we have that the function $f (x) = \frac {5x} {x ^ 2-25}$ is undefined or discontinuous where the denominator equals 0.

$x ^ 2-25 = 0\\x ^ 2 = 25\\x = \pm \sqrt {25}\\x_ {1} = + 5\\x_ {2} = - 5$

Thus, the function is undefined or discontinuous at +5 and -5.

To find the zeros of the function we match the function to zero and clear "x":

$\frac {5x} {x ^ 2-25} = 0$

Factoring the denominator, taking into account that the roots are -5 and +5:

$\frac {5x} {(x + 5) (x-5)} = 0$

We multiply by $(x + 5) (x-5)$ on both sides of the equation:

$5x = 0\\x = 0$

ANswer:

Discontinuity: + 5, -5

Zero: x = 0

Question 2:

For this case we propose a system of equations:

x: Be the variable that represents the yellow fish

y: Be the variable that represents the green fish

$x = y-6\\x = 0.4 (x + y)$

We manipulate the second equation:

$x = 0.4x + 0.4y\\x-0.4x = 0.4y\\0.6x = 0.4y\\y = \frac {0.6} {0.4} x\\y = 1.5x$

We substitute in the first equation:

$x = y-6\\x = 1.5x-6\\x-1.5x = -6\\-0.5x = -6\\x = \frac {-6} {- 0.5}\\x = 12$

So, we have 12 yellow fish in the aquarium.

$y = 1.5 * 12\\y = 18$

So, we have 18 green fish.

Answer:

12 yellow fish

18 green fish

3 0

3 years ago

The width of a rectangle is 12 units. Can the perimeter x of the rectangle can be 60 units when its length y is 18 units?

garri49 [273]

12 units, hmm.. I think your answer is correct.
True!

Thanks for using Brainly!

8 0

3 years ago

May someone help me plz :(

Alexxandr [17]

Answer:

Step-by-step explanation:

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3 years ago