Determine the values of x on which the function f(x)=2x^2-x-15/4x^2-12x is discontinuous and verify the type of discontinuity at each point.A.There is a vertical asymptote at 0 and a hole at 3.
B.There are vertical asymptotes at -5/2 & 0 and a hole at 3.
C.There is a vertical asymptote at 3 and a hole at 0.
D.There are vertical asymptotes at 0 & 3

Answers

Answer 1

Answer: We factor the function
f(x)= [ (2x + 5)(x-3) ]/[ 4x(x-3) ], x ≠ 3
f(x)= [ (2x + 5) ]/[ 4x ], x ≠ 3
A full cancellation of a denominator factor means that there will be a hole. The answer is that there is a vertical asymptote at 0 and a hole at 3.

Answer 2

Answer:

Answer:

We factor the function

f(x)= [ (2x + 5)(x-3) ]/[ 4x(x-3) ], x ≠ 3

f(x)= [ (2x + 5) ]/[ 4x ], x ≠ 3

A full cancellation of a denominator factor means that there will be a hole. The answer is that there is a vertical asymptote at 0 and a hole at 3.

Step-by-step explanation:

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How do you convert units within a measurement system☺️

Answers

You have to know how the value of one unitcorresponds to the value of the other unit. For example you have to knowthat there are 100 cm in 1 m or 1000 m in 1 km. It's easy in metricmeasurement system because it's all about multiplying/dividing by 10 orits multiplications. But in American/English system you just have tolearn the values.

For example:

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Sams credit card balance is less than -$36. Does Sam owe more or less than $36

Answers

He owes more.

He has LESS than -36. So he getting further from zero.

So he could have -40 or something because that's less money than -36.

So because the negative number is bigger than 36, he will owe more than 36.

If his credit card balance is in the negative then he is OWED that amount by the credit card company in order to make his balance Zero.
If he owed that money to the credit card it would be a positive number. Your balance is what you owe to pay it to zero.

What multiplies to be -18 and adds to be -9?

Answers

IMPORTANT:
If you're trying to factor a quadratic in Algebra I:
There are no two integers that can solve this problem!
Your quadratic is prime!

If you're trying to solve a quadratic (find x):
The factoring approach will not work for the same reasons listed above.
Try using splitting the middle or the quadratic formula instead.

Here's how you would solve it from a more advanced approach.
If you don't know what this stuff is, just ignore it.
ab = -18, a + b = -9
Find a in terms of b.
a = -9-b
Substitute this for a in the first equation.
(-9-b)b = -18
-9b-b² = -18
Multiply everything by -1 to get rid of all these negative signs.
b² + 9b = 18
Bring over that 18.
b² + 9b - 18 = 0
Apply the quadratic formula.
(a = 1, b = 9, c = -18)
$(-b\pm√(b^2-4ac))/(2a)=(-9\pm√(9^2-4(1)(-18)))/(1*2)=(-9\pm√(81+72))/(2)=(-9\pm√(153))/(2)=\boxed{(-9\pm3√(17))/(2)}$
If you need to write two distinct numbers, just write out one with a + and one with a - in place of the plus-minus sign.

What is the value of 3-(-2)?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

When subtracting a negative number, you will add it.

This is because the negative signs of the subtraction sign and the negative number will cancel out.

This will change the subtraction sign to a positive sign and will switch the negative sign on the number to a positive one.

So, 3 - (-2) will change to 3 + (2)

3 + 2

= 5

The temperature at 5pm is 20F. The temperature at 10pm is -5F. How many degrees did it fall?please show work

Answers

Change in temperature = Final temp. - Initial temp.
⇒ -5 - 20 = -25 F

So, Temperature fall be 25 degree. [ -ve sign shows temperature fall]

Hope this helps!

Which of the following fractions will result in a repeating decimal? A. 1/3 B. 4/5 C. 3/8 D. 1/2

Answers

Answer:

A . 1/3

Step-by-step explanation:

1/3 = 0.333333333333333 (and the 3 continues on and on and on and on)

4/5 = 0.8

3/8 = 0.375

1/2 = 0.5

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