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liberstina [14]
2 years ago
12

Determine the x-intercept(s) of the rational function: f(x) = (x ^ 2 - 16)/(x ^ 2 - 2x - 3)

Mathematics
1 answer:
elena55 [62]2 years ago
3 0

Answer:

(-4,0) and (4,0)

Step-by-step explanation:

The x-intercepts occur for values of x where f(x) = 0.

f(x) = 0 when the nominator (x^{2}  - 16) = 0.

x^{2} -16 is a difference of squares,
so you can factor it as (x + 4)(x – 4)

When x = –4 or x = 4, the nominator is 0, and f(x) = 0

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The bananas are $.15 per pound and I want to buy 4 pounds, how much would I pay
Paladinen [302]
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2 years ago
2.5 kg of potatoes cost £1.40<br> Work out the cost of 4.25 kg of potatoes.<br> 5.95
kvasek [131]

Answer:

£2.38

Step-by-step explanation:

Write and solve an equation of ratios:

 £1.40       2.5 kg

----------- = ------------

     c          4.25 kg

Cross multiplying, we get:

(£1.40)(4.25 kg) = (2.5 kg*c), or

       (£1.40)(4.25 kg)

c = -------------------------- =  £2.38

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4 0
3 years ago
If it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50
Fed [463]

Lets use the formula RWT=J to solve this, where,

  • R is the rate
  • W is the number of workers/things
  • T is time
  • J is number of jobs/things

<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -

W is 10 printers, T is 10 seconds,  and J is 10 pages. We can write:

R(10)(10)=10\\R(100)=10\\R=\frac{10}{100}\\R=0.1


<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use R=0.1 (previously found) to figure out T.</em>

<em>RWT=J\\(0.1)(50)T=50\\5T=50\\T=\frac{50}{5}\\T=10</em>

So it will take 10 seconds for 50 printers to print 50 pages.


ANSWER: 10 seconds

4 0
3 years ago
Read 2 more answers
1) The variable x represents a value in the set ( 4, 6, 7, 8). Which value of x makes 2 (x-4) +3 =7?
sammy [17]

Answer:

x=6

Step-by-step explanation:

2 (x-4) +3 =7

Subtract 3 from each side

2 (x-4) +3-3 =7-3

2(x-4) =4

Divide each side by 2

2(x-4)/2 = 4/2

x-4 = 2

Add 4 to each side

x-4+4 =2+4

x=6

8 0
3 years ago
A coffee shop s ends $408 for an order of 17 cases of paper cups.
timama [110]
That would be 528 my friend
7 0
3 years ago
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