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Dmitrij [34]
2 years ago
5

If f(x)=x^2-2x-8 and g(x)=1/4x-1, for which value of x is f(x)=g(x)?

Mathematics
1 answer:
Umnica [9.8K]2 years ago
3 0

Answer:

The answer is 4

Step-by-step explanation:

x^2-2x-8=1/4x-1

x^2-9x/4-7=0

4x^2-9x=28

Therefore if we take value of x as 4 aur eq.get balanced...

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How to solve and what is the answer
TiliK225 [7]
Two ways: 
1) guess factors(trial and error)
2) use quadratic formula.
If you use this method then a = -3, b = -6 and c = -1


x = -b +/- [sqrt(b^2 -4ac)/2a]
substituting a, b, and c into our equation we get:
x = - (-6)+/- [sqrt ((-6)^2) - 4(-3)(-1))/2 (-3)]
x = + 6 +/- [sqrt (36 -4 (3)/-6)]  if I didnt make a mistake in my signs
x = + 6 +/- [sqrt (36 -12)/-6)]
x = 6 +/- [sqrt (24)/-6]  but sqrt 6 x sqrt of 4 = sqrt 24 hence
x = 6 +/-  [ sqrt 6 x sqrt 4 /-6] that is:
x = 6 +/- [sqrt 6 x 2 /-6 ]
so x = 6 + [sqrt 6 x 2/-6] and x = 6 - [sqrt 6 x 2/-6]

7 0
3 years ago
Can someone help? (with all)
adell [148]
#1: 50/50 or 1/2 chance because you have only picked up 2 and there’s now a higher chance of you getting a yellow instead of blue. Hope that helps.
4 0
2 years ago
Read 2 more answers
What is r in this equation? <br>πr^2=42π
kupik [55]
R in this equation refers to the radius

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4 0
3 years ago
How do I solve this?
andreev551 [17]

Answer:

x is in the range [-1,4]

Step-by-step explanation:

I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.

We are given the following inequality:

| 2x - 3 | <= 5

This implies two possible cases:

[1] -5 <= 2x -3

Or

[2] 2x - 3 <= 5

So let's solve x for both of these cases:

[1] -5 <= 2x - 3

 -2 <= 2x

 -1  <= x

[2]  2x - 3 <= 5

 2x <= 8

  x <= 4

So from these cases, we can say the following is true:

x >= -1  and x <= 4

Thus, we can write this in the form

-1 <= x <= 4

Or in interval notation:

{ x is element of reals | -1 <= x <= 4}

Also written as

x is in the range [-1,4]

Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.

Cheers.

4 0
3 years ago
In ΔABC, which trigonometric ratio equals 32?
Nezavi [6.7K]
The given answer should be "3/2", its because "32" is not possible in anyway.. 

tan C = sin C / cos C

Where sin C = 3 / 3.61

And

cos C = 2 / 3.61

Now

tan C = (3 / 3.61) / (2 / 3.61) = (3 / 3.61) x (3.61 / 2) = 3 / 2

<span>Thus tan C is the correct choice.   </span>

6 0
3 years ago
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