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2 years ago

What is a graph of g(x)=(2/3)x-2?

Mathematics

1 answer:

Anettt [7]2 years ago

6 0

The graph above or below should answer the question.

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Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constan

BARSIC [14]

Answer:

125/6(In(x-25)) - 5/6(In(x+5))+C

Step-by-step explanation:

∫x2/x1−20x2−125dx

Should be

∫x²/(x²−20x−125)dx

First of all let's factorize the denominator.

x²−20x−125= x²+5x-25x-125

x²−20x−125= x(x+5) -25(x+5)

x²−20x−125= (x-25)(x+5)

∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx

x²/(x²−20x−125) =x²/((x-25)(x+5))

x²/((x-25)(x+5))= a/(x-25) +b/(x+5)

x²/= a(x+5) + b(x-25)

Let x=25

625 = a30

a= 625/30

a= 125/6

Let x= -5

25 = -30b

b= 25/-30

b= -5/6

x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)

∫x²/(x²−20x−125)dx

=∫125/6(x-25) -∫5/6(x+5) Dx

= 125/6(In(x-25)) - 5/6(In(x+5))+C

4 0

3 years ago

If cheese is $4.40 per kilogram, what should i pay for 200 grams

Contact [7]

1 kg is 1,000 grams.

200 grams are 1/5 of 1000 grams, that is 1/5 of 1 kg.

Thus 200 g= 1/5 kg = 0.2 kg.

1 kg of cheese is <span>$4.40,
</span>
so 0.2 kg of cheese is $\displaystyle{ \frac{0.2kg \cdot \$4.40}{1kg}}=4.40 \cdot0.2 \$= 0.88\$$

Answer: $0.88

8 0

2 years ago

Read 2 more answers

A student took a system of equations, multiplied the first equation by 2 and the second equation by 3, then added the results to

egoroff_w [7]

Answer:

system 4.

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18 ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12 ...(2)

add (1) and (2)

0+0=30

which is impossible .It has no solutions.

3 0

2 years ago

The sales tax in one towns 8%. So, the total cost of an item can be written as c + 0.08c. What is the total cost of an item that

Artemon [7]

Short answer:
TotalCost = 12.96

Long answer:

It gives you the equation of

total cost = C + 0.08C

You just need to plug-in the $12 to the equation.
In other words, the equation is:
TotalCost = 12 + 0.08*12
TotalCost = 12 + 0.96
TotalCost = 12.96

5 0

2 years ago

Find the common difference for the sequence below. 1/4, 5/16, 3/8,..

vredina [299]

Answer:

the common difference of the sequence is $(\frac{1}{16})$

Step-by-step explanation:

A sequence of numbers is said to be in arithmetic progression of each term of the sequence has same common difference.

Now, here first term a1 = 1/4

Second term a2 = 5/16

Third term a3 = 3/8

Now, Common difference (d) = a2 - a1 = a3 - a2

Now, a2 - a1 = $\frac{5}{16} - \frac{1}{4} = \frac{5 - 4}{16} = \frac{1}{16}$

Now, a3 - a2 = $\frac{3}{8} - \frac{5}{16} = \frac{6 - 5}{16} = \frac{1}{16}$

Hence, the common difference of the sequence is $(\frac{1}{16})$

5 0

2 years ago

What is a graph of g(x)=(2/3)x-2?​

What is a graph of g(x)=(2/3)x-2?