All categories

3 years ago

Someone please help me

Mathematics

1 answer:

Firdavs [7]3 years ago

4 0

Answer:

x = -3/2

Step-by-step explanation:

The removable discontinuity is at the value of x where a denominator factor cancels a numerator factor, and those factors are zero.

$p(x)=\dfrac{2x+3}{4x^2-9}=\dfrac{2x+3}{(2x+3)(2x-3)}=\dfrac{2x+3}{2x+3}\cdot\dfrac{1}{2x-3}\\\\p(x)=\dfrac{1}{2x-3}\qquad x\ne-3/2$

That cancellation occurs where 2x+3 = 0, at x=-3/2.

The function p(x) has a removable discontinuity when x = -3/2.

You might be interested in

Help me :,)

IrinaK [193]

Answer:

The rule of the arithmetic sequence is 13 - 2n

The 30th term is -47

Step-by-step explanation:

∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2

∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n

Use n = 1 , 2 , 3 , 4 to check the type of the sequence

∵ n = 1 ⇒ 13 - 2(1) = 11

∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9

∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7

∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5

∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2

∴ The rule of the arithmetic sequence is 13 - 2n

∴ The 30th term = 13 - 2(30) = -47

5 0

3 years ago

Read 2 more answers

The cost of 11 dvds and 7 cds is 172.50 and the cost of 10 dvds and 7 cds is 155.80. How much does a cd and dvd cost?

AleksandrR [38]

Answer:

The question has a mistake

Step-by-step explanation:

11d+7c= 172.5

10d+7c= 155.8

By subtraction;

1d+ 0c = 16.7

1d = 16.7

11×16.7+7c=172.5

7c = 172.5-11*16.7

You will get a negative answer yet the cost cannot be negative.

5 0

3 years ago

If 0.5 lb of Starbucks Coffee costs $6.48, what is the unit price for Starbucks Coffee? Hint: this involves decimal division.

Sedaia [141]

12.96 dollars man, you got this

7 0

3 years ago

Find the area of the semicircle. Round your answer to the nearest hundredth. PLEASEE HELPP

trapecia [35]

Answer:

Area of semicircle = 226.08 in²

Step-by-step explanation:

Diameter of semicircle = 24 in

We need to find area of semicircle.

The formula used to find area of semicircle is: $Area=\frac{\pi r^2}{2}$

First we will find radius

We know that: radius = diameter/2 = 24/2 = 12

Now, finding area

$Area=\frac{\pi r^2}{2}\\Area=\frac{3.14\times (12)^2}{2}\\Area=\frac{452.16}{2}\\Area=226.08\:in^2$

So, Area of semicircle = 226.08 in²

7 0

3 years ago

(35 pts)Evaluate the reasoning provided by both students A and B and correct the errors Make sure to provide proper reasoning. O

Oksanka [162]

Answer:

see the explanation

Step-by-step explanation:

we know that

A Rational Number is a number that can be made by dividing two integers

we have

$\frac{\sqrt{2}}{8}$

$\sqrt{2}$ ----> is not a integer

The given number cannot be rewritten as the quotient of two integers

therefore

The given number is irrational

Student A is incorrect because is a irrational number and not all fractions are rational

Student B reasoning is incorrect, because there are fractions that have as numerator an irrational number and can be rational numbers

example

$\frac{\sqrt{2}}{3\sqrt{2}}=\frac{1}{3}$ ----> is a rational number and the numerator is a irrational number

6 0

3 years ago