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Anna71 [15]
3 years ago
12

Simplify the expression. State any excluded values. x^ 2 - 36/42x - 7x^ 2

Mathematics
1 answer:
REY [17]3 years ago
3 0

Consider the expression x^2-\dfrac{36}{42}x-7x^2.

This expression contains two terms with x^2, group them:

x^2-7x^2=x^2(1-7)=-6x^2.

Now simplify term \dfrac{36}{42}x=\dfrac{6}{7}x.

Now x^2-\dfrac{36}{42}x-7x^2=-6x^2-\dfrac{6}{7}x=6\left(-x^2-\dfrac{1}{7}x\right)=-6x\left(x-\dfrac{1}{7}\right).

This expression is defined for all x.

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Answer:

y=-7x-9

Step-by-step explanation:

y=mx+b(where m is slope and b is y intercept)

y=-7x+b

plugging the number in we get

12=-7(-3)+b

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8 0
2 years ago
Find the difference and the next three terms -10 -20 -30
Dafna1 [17]

Answer:

- 40, - 50, - 60

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence.

- 20 - (- 10) = - 20 + 10 = - 10

- 30 - (- 20) = - 30 + 20 = - 10

Thus the difference d = - 10

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The next 3 terms are - 40, - 50, - 60

6 0
3 years ago
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5b 2 −6b−2 is prime TURE OR FALSE!! 100 POINTS PLEASE HELP!!!!
Ivan

The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.

<h3>What is the discriminant of the expression?</h3>

According to the task content; it is required to identify if the expression is prime.

On this note, it follows that the discriminant of the expression can be evaluated as follows;

= 36 -(4× 5 × -2)

= 76.

Hence, the expression is prime since 76 is not a perfect square.

Read more on discriminant;

brainly.com/question/2507588

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Step-by-step explanation:

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