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luda_lava [24]
3 years ago
6

Identify the oblique asymptote of f(x)=x+4/3x^2+5x-2

Mathematics
1 answer:
creativ13 [48]3 years ago
8 0

Answer:

No oblique asymptote

Step-by-step explanation:

To find the oblique asymptote of f(x)

f(x) = \frac{x+4}{3x^2+5x-2}

Here numerator has degree 1 and denomintor degree 2

Degree of numerator < Degree of denominator

Hence there is no oblique asymptote

When the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,  giving us a horizontal asymptote of the x-axis. Or we can write

f(x) = a polynomial of x + a proper fraction.

In this case only we have oblique asymptotes but not when numerator has less degree.

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Select all of the ordered pairs that make the inequality y &gt; x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)
sergeinik [125]

Answer:

4times1/4(y-(-25/4))=(x-(-3/2)) small 2

4p(y-k)=(x-h)small 2

something like that I belive

or just y>xsmall2+3x-4

7 0
3 years ago
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Write the sentence as an inequality.<br> The speed X on a highway is at most 60 miles per hour.
podryga [215]

Answer:

X ≥ 60

Step-by-step explanation:

Is your inequality sentence.

3 0
3 years ago
A road is inclined at an angle of 5°. After
Scorpion4ik [409]

Answer:

464 feet

Step-by-step explanation:

<em>The Sine of the angle of inclination gives the increase in altitude.</em>

<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>

Sin Ф = Opposite  ÷ Hypotenuse

Sin 5° = O ÷ 5328

0·08716 = O ÷ 5328

<em>Make </em>O<em> the subject and multiply every fraction by </em>5328

(0·08716/1 × 5328)= (O/5328 × 5328)

464·388 = O

∴ The increase in altitude is 464·388 feet

<em>This is supposed to be to the nearest foot so we round off</em>

464·388 becomes 464 feet

3 0
3 years ago
Kari plans to attend a 2-year community college. She will receive $4,500 in scholarships and grants each year, and she will earn
Feliz [49]

Answer:

Step-by-step explanation:

4 year Public University

Tuition and fees $ 8500

Room and board $ 6700

Books and supplies $1250

misc expenses $ 700

Total for 1 year

8500+6700+1250+700

= $ 17150

Total for 4 years 4* 17150 = $68600

4 year Private University

Tuition and fees $ 25100

Room and board $ 8000

Books and supplies $ 1300

misc expenses $ 750

Total for 1 year

25100+8000+1300+750

= $ 35150

Total for 4 years 4* 35150 = $ 140600

2 Year Community College

2 Year Community College

Tuition and fees $ 4400

Room and board $ 5000

Books and supplies $ 1100

misc expenses $ 800

Total for 1 year

4400+5000+1100+800

= $ 11300

Total for 2 years 2* 11300 = $ 22600

now given

kari will get $4500 in scholarships and grants yearly and $1500 yearly through work study program

so in total kari will get in financial aid = $6000 yearly

so in 2 years she will get total = 2*6000 = $12000 financial aid

kari's estimated cost per year = total fee of college for 1 year - total financial aid for 1 year

                                           = $11300 - $ 6000 = $5300

Kari's estimated cost per year = $5300

then estimated cost for two years = 2* 5300 = $10600

given Kari's family will contribute $3000 yearly

so for two years Kari will get = 2*3000 = $6000 from family

If kari has 1 year to save for 1st year's contribution then

a) kari has $0 in savings

kari needs to save for year = estimated cos per year - contribution from family per year

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as kari has $0 savings so kari needs to save $2300 in 1 year

so kari needs to save an amount = 2300/12 = $191.666667 monthly

b) kari has $1000 in saving

then kari needs to save an amount for 1 year = estimated cost per year - contribution from family per year - kari's initial savings

Amount to be saved for 1 year = $5300 - $3000 - $1000

                                          = $1300

so kari needs to save an amount of = 1300/12 = $108.3333333 monthly

c) Kari has $2000 in saving

then kari needs to save an amount for 1 year = estimated cost per year - contribution from family per year - kari's initial savings

Amount to be saved for 1 year = $5300 - $3000 - $2000

                                          = $300

so kari needs to save an amount of = 300/12 = $25 monthly

7 0
3 years ago
What is 1/4 of 80 and explain
vovikov84 [41]
    i think you multiply 4*80=320

7 0
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