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3 years ago

If W + 6 = 3 and v-4 = 2, what is the value of w + v?

Mathematics

2 answers:

OLEGan [10]3 years ago

7 0

Answer:

w = - 3 and v = - 2

Step-by-step explanation:

Because w + 6 = 3 you would subtract 6 and whatever you do to one side you would do to the other.

w= - 3

liraira [26]3 years ago

7 0

Answer:

$w + v = 3$

Step-by-step explanation:

Solve for w

$w + 6 = 3$

Move 6 to subtract 3.

$w = 3 - 6 \\ w = - 3$

Solve for v

$v - 4 = 2$

Move 4 to add 2

$v = 4 + 2 \\ v = 6$

Solve for w+v

Substitute w = -3 and v = 6

$w + v = - 3 + 6 \\ w + v = 3$

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Hi there!

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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)

Tanzania [10]

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,

3*7 = 21.

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

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

= (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

#SPJ1

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