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vazorg [7]
3 years ago
7

Solve equation a+6a-9=30

Mathematics
1 answer:
joja [24]3 years ago
3 0
To solve any equation, we have to get the variables and the constants (numbers) on opposite sides of the equals sign.  

First, we have to combine the like terms on the left side of the equation, resulting in

7a - 9 = 30

Then, because we want the constants on the right side of the equation, we have to +9 to cancel out the -9 on the left side.

7a=39

Next, the a has a coefficient of 7, which it is multiplied by.  To undo multiplication, you have to divide.  Therefore, we should divide both sides by 7.

a= 5 4/7 or 5.57142857143

In improper fraction form, a = 39/7, as this fraction cannot be simplified any farther.
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Indefinite integral need help pleaseeeeeee
tatiyna
Integrate indefinite integral:
I=\int\frac{dx}{e^{2x}+3e^x+2}dx

Solution:
1. use substitution u=e^x 
=>
du=e^xdx
=>
dx=\frac{du}{e^x}
=>
dx=\frac{du}{u}
=>
I=\int\frac{du}{u(u^2+3u+2)}du
=\int\frac{du}{u(u+2)(u+1)}du
2. decompose into partial fractions
\frac{1}{u(u+2)(u+1)}
=\frac{A}{u}+\frac{B}{u+2}+\frac{C}{u+1}
where A=1/2, B=1/2, C=-1
=\frac{1}{2u}+\frac{1}{2(u+2)}-\frac{1}{u+1}
3. Substitute partial fractions and continue
I=\int\frac{du}{2u}+\int\frac{du}{2(u+2)}-\int\frac{du}{u+1}
=\frac{log(u)}{2}+\frac{log(u+2)}{2}-log(u+1)}
4. back-substitute u=e^x
=\frac{log(e^x)}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}
=\frac{x}{2}+\frac{log(e^x+2)}{2}-log(e^x+1)}

Note: log(x) stands for natural log, and NOT log10(x)

7 0
3 years ago
Round 101 to the nearest ten
Lesechka [4]
Is there a picture for the question
7 0
3 years ago
128 fluid ounces equals how many pints
nikklg [1K]
It equals to 8 pints

3 0
3 years ago
Read 2 more answers
Please help me!
ale4655 [162]

By convention, the first term of a sequence starts with n = 1 instead of n = 0. This is so n = 1 matches with 1st, n = 2 matches with 2nd, and so on.

In contrast, the y intercept always occurs when x = 0. So something like y = 3x+5 has a y intercept of 5 when you plug in x = 0.

An arithmetic sequence like f(n) = 2n+7 has its first term when n = 1. So the first term would be f(1) = 2(1)+7 = 9 instead of 7 as Hank claims.

7 0
3 years ago
Find the measure of the exterior angle <br><br> pls, is urgent<br> tysm&lt;3
liraira [26]

Answer:

134 degrees

Step-by-step explanation:

a triange has a total of 180 degrees

this means the 2 angles in the are equal to

180-(last angle)=x+102

the exterior angle is also 180-(last angle)

thus you can set the two equal to each other

(4x+6)=x+102

move 6 and x

3x=96

x=32

plug in

(4(32)+6)=134

to check

180-134=46(last angle of the triangle)

32+102+46=180 (true)

4 0
3 years ago
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