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11Alexandr11 [23.1K]
3 years ago
10

Solve f(x)=x²+7x+12/-x²-3x+4

Mathematics
1 answer:
Zarrin [17]3 years ago
8 0

x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{The domain:} x\neq-4\ and\ x\neq1\\\\canceled\ (x+4)\\\\f(x)=\dfrac{x+3}{-(x-1)}=-\dfrac{x+3}{x-1}\ for\ x\neq-4\ and\ x=1

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I need helppppppp.....
RoseWind [281]

Answer:

6/7

Step-by-step explanation:

-3 - 4         -7         -7

---------- =  -------- = ------

5 - (-1)      5 + 1        6

Do the inverse of -7/6: 6/7

4 0
3 years ago
Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua
Anarel [89]

Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

We know that,

1 quarter = 25 cents

1 dime = 10 cents

Let,

Quarter = x

Dime = y

According to given statement;

25x+10y=630    Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490

Dividing both sides by 35

\frac{35x}{35}=\frac{490}{35}\\x=14

Putting x=14 in Eqn 2

y=14+14\\y=28

Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/4354581
  • brainly.com/question/4361464

#LearnwithBrainly

4 0
3 years ago
Y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8?
serious [3.7K]
When x = 8 y = 15

The way to figure this out is to subtract 12 by 5. That’s 7 so there’s a difference of 7 between both of the numbers.

Hope this helped!
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3 years ago
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3 years ago
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3 years ago
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