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Nuetrik [128]
3 years ago
7

I need fast help with step by step

%20%7D%20%5C%2C%20dx" id="TexFormula1" title="\int\limits^2_1 {\frac{3x-1}{x+1} } \, dx" alt="\int\limits^2_1 {\frac{3x-1}{x+1} } \, dx" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Ganezh [65]3 years ago
5 0

Answer:

1.38 to the nearest hundredth.

Step-by-step explanation:

Dividing:

x + 1 ) 3x - 1 ( 3            

          3x + 3

                -4

so (3x - 1) / (x + 1) =  3  - 4 / x+ 1

Integral  of (3  - 4 / x+1 )  = 3x - 4 ln(x + 1)

Between  limits of 1 and 2 we have:

(3(2) - 4 ln 3) - (3 - 4 ln2)

=  1.6056 - 0.2274

= 1.3782.

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Which of these steps will eliminate a variable in this system?
PSYCHO15rus [73]
C. multiply the second equation by two. Then add the equations
3 0
3 years ago
Use elimination to solve the system of equations given by 3x - 2y = 10 and 5x + 2y = 6​
pishuonlain [190]

Answer:

x = -2  y= -8 and 8

Step-by-step explanation:

Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.

<u>To find x:</u>

<u>If you do (3x - 2y = 10) - (5x + 2y = 6​),</u> you will get -2x=4. Divide both sides by -2, and get x = -2.

<u>If you do (5x + 2y = 6​) - (3x - 2y = 10)</u>, you will get 2x=-4.Divide both sides by 2, and get x = -2.

<u>To find y:</u>

Substitute -2 for x in either equation. It doesn't matter.

<u>For 3(-2) - 2y = 10:</u>

3(-2) - 2y = 10 ––Multiply

-6 - 2y =10 ––Add 6 to both sides to get y alone

-2y = 16 ––Divide by -2

y = -8

<u>For 5x + 2y = 6​:</u>

5(-2) + 2y = 6​ ––Multiply

-10 + 2y = 6 ––Add 10 to both sides to get y alone

2y = 16 ––Divide by 2

y = 8

 

6 0
3 years ago
When sales of a particular hybrid automobile reach 60,000 units, federal income tax credits begin to phase out. One year after r
SCORPION-xisa [38]

Answer:

$750

Step-by-step explanation:

so, in short, we need to calculate 25% of $3000.

that is the amount of tax credit a buyer would get then.

direct and fast answer :

25% means 1/4 of the overall amount.

$3000 / 4 = $750

now, a little bit longer to explain % calculations in general.

let's say, we are talking 27%. now we have a problem to find a fast fraction as factor.

it always starts with the identification of 100%.

what is the full starting amount we are dealing with ? that is the 100%.

in our case $3000.

now, as a base for the calculation we determine 1%, which is 1/100 of 100%, of course.

1% = $3000 / 100 = $30

to get said 27% we have to multiply this by 27

27% = 1% × 27 = $30 × 27 = $810

or in general

x% = 100% × x / 100

that also works for more complex questions. e.g. calculate 1.5%

1.5% = $3000 × 1.5 / 100 = $30 × 1.5 = $45

and that is all there is to % calculations. all the questions are just some variations, where your are missing one of the 3 "ingredients" : 100% amount, x% amount and x itself.

and you need to transform the general equation above to get the missing piece of of the given information.

3 0
2 years ago
.y=x+2<br> y = 2x - 5<br> How do we solve this
otez555 [7]

Answer:

X=7

Y=9

Step-by-step explanation:

.y=x+2

y = 2x - 5

Use equivalents y=y so you get:

X+2=2x-5

X-2x=-5-2

-x=-7

X=7

Y=x+2=7+2=9

5 0
3 years ago
Read 2 more answers
Juan deposited $200 in savings account earning 3% interest over 2 years .
hoa [83]
I'm not too sure about this one but if you find 3% of $200 you get 6 and if you multiply that by 2 ( for the 2 years ) you'll get ( A $12 )
6 0
3 years ago
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