HELP !!!! What are the solutions to the quadratic equation 6x^2 + 24x = 0 ( explain )

1 answer:

6 0

$6x(x + 4) = 0$
Now you have 2 case
$6x = 0$
and
$x + 4 = 0$
Solve
$6x = 0$
$x = 0$
Solve
$x + 4 = 0$
Minus 4 on both sides
$x = - 4$
The answers are x1=0 and x2=-4

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A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 2/5 of its size. What is the

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Answer:

40 feet by 4 feet

Step-by-step explanation:

Given length (l) = 100 feet

width (w) = 10 feet

As mentioned in the question the size of garden is decreased to 2/5 of its size. <u>It will effect the length and width with the same proportion.</u>

So,

New length = 100 * 2/5 = 40 feet

New width = 10 * 2/5 = 4 feet

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A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? a.

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Answer:

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What binomial do you have to add to the polynomial 2x^2+3y^2-5xy+1 to get the following?

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Binomial $-3y^{2}+5xy$ when added to polynomial $2x^{2} +3y^{2} -5xy+1$ gives polynomial that does not contain the variable y .

<h3>What is binomial?</h3>

A mathematical expression consisting of two terms connected by a plus sign or minus sign .

Example: x + 2 is a binomial, where x and 2 are two separate terms.

<h3>What is polynomial?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer

According to the question

polynomial $2x^{2} +3y^{2} -5xy+1$

when added with $-3y^{2}+5xy$

= $2x^{2}+1$ (as $3y^{2} -5xy$ got cancelled )