All categories

1 year ago

Determine the vertical asymptotes for the reciprocal of this function f(x)=x^2 + 3x -28

Mathematics

1 answer:

Gennadij [26K]1 year ago

7 0

Answer:

x = -7 and x = 4.

Step-by-step explanation:

f(x) = x^2 + 3x - 28

= (x + 7)(x - 4).

The reciprocal of f(x) can be written as

1 / (x + 7)(x - 4).

When the denominator is zero we have vertical asymptotes

so they are x = -7 and x = 4.

You might be interested in

The electrical charge on a metal plate is given

Katarina [22]

Answer:

after 10 seconds the charge is 1.624

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

The electrical charge on a metal plate is given by the function below, where t is the time in seconds. What is the charge after 10 seconds?

C (t) = 12 $e^{\frac{-t}{5} }$

My answer:

Given the information:

C (t) = 12 $e^{\frac{-t}{5} }$

when t =10 we have:

C (10) = 12 $e^{\frac{-10}{5} }$

<=> C (10) = 12 $e^{-2}$

<=> C (10) = 12 $\frac{1}{e^{2} }$

<=> C (10) = 12 * 0.1353

<=> C (10) = 1.624

Hence, after 10 seconds the charge is 1.624

8 0

2 years ago

What’s a equivalent ratio

Leni [432]

Ratios that are equivalent to each other are considered equivalent ratios. For example, 2:6 is equal to 6:18

6 0

3 years ago

Read 2 more answers

How do I do this question

aliya0001 [1]

Answer:

Step-by-step explanation:

Join OB.

∠A=∠A (common)

$\frac{AP}{AO} =\frac{\frac{1}{2} AO}{AO} =\frac{1}{2} \\\frac{AQ}{AB} =\frac{\frac{1}{2} AB}{AB} =\frac{1}{2} \\\frac{AP}{AO} =\frac{AQ}{AB}$

∴ ΔAPO and ΔAOB are similar.

$\frac{PQ}{OB} =\frac{1}{2} \\$

∠P=∠O

∠Q=∠B

So PQ║OB

Similarly RS║OB

∴PQ║RS

7 0

3 years ago

Which of the following is a terminating decimal? A.10.3 never ending B.10 with the check mark C. 10.101 D.100.6 never ending

kirill [66]

C; terminating means it stops at a definite point
a is a repeating decimal, for b i think you mean radical of 10 and that’s irrational, and d is repeating

7 0

3 years ago

I will look stupid in front of my teacher if this doesn't get answered. ☠️ please answer..

bulgar [2K]

Answers: a = 35, b = 13

<u>Explanation:</u>

The numbers to the left of the line represent whole numbers. The numbers to the right of the line represent decimals. Each decimal represents a person.

a) How many numbers are on the right side of the line? 35

b) How many numbers are greater than 14.0? 13

7 0

3 years ago