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1 year ago

In 3x + 2/3y - 15 < 0, the point (x,9) is a solution for the inequality shown. what is the possible value for x?

Mathematics

1 answer:

N76 [4]1 year ago

3 0

answer: 2

explanation:

if you plug in all of the numbers available for the equation and using 9 as a substitute for y, you'll see that it will either = 0 or be greater than 0

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If lim x-> infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b

MAXImum [283]

We have

$\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}$

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-ax-b\right)=\lim_{x\to\infty}\left(x-1+\frac1{x+1}-ax-b\right)=0$

The rational term vanishes as x gets arbitrarily large, so we can ignore that term, leaving us with

$\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0$

and this happens if a = 1 and b = -1.

To confirm, we have

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-x+1\right)=\lim_{x\to\infty}\frac{x^2-(x-1)(x+1)}{x+1}=\lim_{x\to\infty}\frac1{x+1}=0$

as required.

3 0

2 years ago

Find the missing side and round the answer to the nearest tenth. Thanks.

Andru [333]

Answer:

Step-by-step explanation:

opp=x,hyp=10

sin 53°= $\frac{x}{10}$

cross multiply

sin 53° x 10 =x

0.7986 x 10=x

7.98=x

x≅ 8.0

4 0

2 years ago

Lance Murdock purchased a wooden statue of a Conquistador for $7,500 to put in his home office 8 years ago. Lance has recently m

Lapatulllka [165]

Answer:

- 5.9%

Step-by-step explanation:

Data provided in the question :

Future value of the amount invested = $4,600

Principle i.e amount of purchase = $7,500

Time, n = 8 years

Now,

let the interest rate be 'i'

using compounding

$4,600 = $7,500 × (1 + i)⁸

0.613 = (1 + i)⁸

1 + i = 0.941

i = -0.059

interest rate = - 5.9%

Here negative sign means loss

3 0

3 years ago

one angle of a triangle is 8 times as large as the smallest angle, and the longest is 3 times the smallest. find all 3 angles

vaieri [72.5K]

3S + S + S + 20 = 180 gives 5S = 160 OR S = 32

Largest = 3S = 3*32 = 96 degrees ANSWER

3 0

2 years ago

Margaret bought 1,575 grams of rice. how many kg of rice is that?

bearhunter [10]

1 kg = 1000 grams

? kg = 1575 grams

1.575 kg = 1575 grams

1,575 grams is 1.575 kilograms.

6 0

3 years ago