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sp2606 [1]
2 years ago
6

Solve the following equation: 7x– 9=19

Mathematics
2 answers:
Gelneren [198K]2 years ago
4 0

Answer:

x=4

Step-by-step explanation:

7x - 9 = 19

add 9 to both sides

7x = 28

divide by 7

x = 4

Sladkaya [172]2 years ago
4 0

Answer:

x=4

Step-by-step explanation:

First, you take the equation and add 9 to both sides (7x-9+9=19+9) which will cancel out the 9 on the left side, and add onto the 19 which would be 28.

Next, you simplify the answer of that to get 7x=28

After you divide 7 from both sides (\frac{7x}{7}=\frac{28}{7})

Finally, after solving that division problem you will get the answer of the equation which is x=4

Brainliest pls?

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F(x)={5−1 if 1≤x<7, if 7≤x≤13. Evaluate the definite integral by interpreting it as signed area.
Ivenika [448]

Answer:

\int\limits^7_1 {f(x)} \, dx =24

\int\limits^13_7 {f(x)} \, dx =24

Step-by-step explanation:

From Exercise we have f(x)=5-1 , we get f(x)=4.

We calculate integral, if 1≤x<7, we get

\int\limits^7_1 {f(x)} \, dx =\int\limits^7_1 {4} \, dx =4[x]\limits^7_1=4(7-1)=4·6=24

We calculate integral, if 7≤x<13, we get

\int\limits^13_7 {f(x)} \, dx =\int\limits^13_7 {4} \, dx =4[x]\limits^13_7=

=4(13-7)=4·6=24

Therefore, we conclude that the given two integrals are the same.

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3 years ago
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4 0
4 years ago
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Use the method of completing the square to transform the quadratic equation into the equation form (x + p)2 = q.
Gelneren [198K]
<span>divide both sides of the equation by 2 to get: 

(x + 1/4)^2 = -7/16 ***** this is your solution. 

continue further to solve for x if you care to, but the problem did not require you to do this. 

take the square root of both sides of the equation to get: 

x + 1/4 = plus or minus sqrt(-7/16) 

subtract 1/4 from both sides of the equation to get x = -1/4 plus or minus sqrt(-7/16). 

since sqrt(-7/16) is the same as sqrt(7/16) * i, your solution becomes: 

x = -1/4 plus or minus sqrt(7/16) * i. 

your problem was to convert it to the form of (x + p)2 = q. 

the solution to that is: 

</span><span>(x + 1/4)^2 = -7/16 </span><span>subtract 1 from both sides of the equation to get: 

2x^2 + x = -1 

factor out a 2 on the left side of the equation to get: 

2 * (x^2 + x/2) = -1 

complete the squares on x^2 + x/2 to get: 

2 * ((x+1/4)^2 - (1/16)) = -1 

simplify by distibuting the multiplication to get: 

2 * (x+1/4)^2 - 2*(1/16) = -1 

simplify further to get: 

2 * (x+1/4)^2 - 1/8 = -1 

add 1/8 to both sides of the equation to get: 

2 * (x + 1/4)^2 = -7/8 .



</span>
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4 years ago
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