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3 years ago

Which statement is true about the discontinuities of the function f(x)?

Mathematics

2 answers:

DedPeter [7]3 years ago

8 0

Answer:

f(x) = (x + 1)/ (6x^2 - 7x - 3)

= (x + 1)( / (6x^2 + 2x - 9x - 3)

= (x + 1) / (2x(3x + 1) - 3(3x + 1))

= (x + 1) / (2x - 3)(3x + 1)

Now x = 3/2 and x = -1/3 both make te denominator zero so these are both asymptotes.

Read more on Brainly.com - brainly.com/question/15296078#readmore

Step-by-step explanation:

Tema [17]3 years ago

6 0

Answer:

There are asymptotes at x = three-halves and x = negative one-third.

Step-by-step explanation:

f(x) = (x + 1)/ (6x^2 - 7x - 3)

= (x + 1)( / (6x^2 + 2x - 9x - 3)

= (x + 1) / (2x(3x + 1) - 3(3x + 1))

= (x + 1) / (2x - 3)(3x + 1)

Now x = 3/2 and x = -1/3 both make te denominator zero so these are both asymptotes.

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PLEASE HELP

kolbaska11 [484]

Answer:

a) P(x) = 32000*1.04^x
b) $37435
c) During year 7

Step-by-step explanation:

<u>Given</u>

Initial pay = $32000
Increase rate = 4%

a. <u>Formula</u>

P(x) = 32000*1.04^x

b. Year 5 is after 4 years, so we are looking for the value of P(4)

P(4) = $32000*1.04^4 = $37435

c. <u>P(x) = 40000, x = ?</u>

40000 = 32000*1.04^x
1.04^x = 40000/32000
1.04^x = 1.25
log 1.04^x = log 1.25
x = log 1.25 / log 1.04
x = 5.69, this is 6 years after

The required number of the years is 6 + 1 = 7

3 0

3 years ago

Shana took a test with 50 questions. She lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit que

jeka57 [31]

Answer:

She gained 5 points in overall

Step-by-step explanation:

Shana lost points for each wrong question = 2

So, She lost points for 5 wrong questions = $2 \times 5$

She lost points for 5 wrong questions = 10 points

Now, She gained points for each correct question = 5

So, She gained points for 3 correct questions = $5 \times 3$

She gained points for 3 correct questions =15

So, Overall gain = 15-10 = 5

She gained 5 points in overall

Hence the total number of points gained by her is 5 points

4 0

3 years ago

Which of the following comparisons is correct?<br>-2 2<br>4<−4<br>−6< −5

zlopas [31]

<h3>Answer: Choice D) -6 < -5</h3>

================================================

Explanation:

Let's go through the answer choices

A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
B) This is also false. The value 0 is smaller than 2. A number line might help show this.
C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

4 0

3 years ago

Fourteen less children’s meals were served than adult meals at a barbecue. Children plate were 1.50 each and adult plates were 2

Annette [7]

Answer:

134 children and 120 adult plates were served

Step-by-step explanation:

let the children mean be x

Let the adult meal be y

If fourteen less children’s meals were served than adult meals at a barbecue, then;

y = x - 14 .... 1

IF Children plate were 1.50 each and adult plates were 2.00 each with a total of 441 in amount then;

1.5x + 2y = 441 .... 2

Substitute 1 into 2;

1.5x + 2(x-14) = 441

1.5x+2x-28 = 441

3.5x = 441+28

3.5x = 469

x = 469/3.5

x = 134

Recall that y = x - 14

y = 134-14

y = 120

Hence 134 children and 120 adult plates were served

7 0

2 years ago

Each person needs to rent a helmet for $5. Write the expression for the total cost for the helmets

Artyom0805 [142]

Step-by-step explanation:

you need to find out how many poeple u have first

4 0

2 years ago