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3 years ago

If 3 times a number is equal to 3/2, what is the number?

Mathematics

2 answers:

Mamont248 [21]3 years ago

7 0

$3x=\dfrac{3}{2}|:3\\
x=\dfrac{1}{2}
$

leva [86]3 years ago

6 0

3 times a number (3x) is equal to (=) 3/2

3x=3/2
multiply both sides by 2 to get rid of the fraction
6x=3 times 2/2
6x=3
divide both sides by 6
x=1/2

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3 years ago

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3 years ago

Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)

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The factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

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Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

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= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is (x - 7)(x + 3), making the first option the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

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