REASONS:-
1ST STEP
GIVEN LHS = RHS
2ND STEP
Bez +ve 6x when move to another side will change to -ve so it reduces 8x to 2x
3RD STEP
Bez -ve 17 when move to another side will change to +ve so it increases 7 to 24
4TH STEP
Bez 2 in multiplication when move to another side will change to division so it reduces 24 to 12
5TH STEP
it the answer we obtained after solving
10(x−2)+15=8x+7
Simplify
10(x−2)+15=8x+7
(10)(x)+(10)(−2)+15=8x+7(Distribute)
10x+−20+15=8x+7
(10x)+(−20+15)=8x+7(Combine Like Terms)
10x+−5=8x+7
10x−5=8x+7
Subtract 8x from both sides.
10x−5−8x=8x+7−8x
2x−5=7
Add 5 to both sides.
2x−5+5=7+5
2x=12
Divide both sides by 2.
2x/2 = 12/2
x=6
Always, ALWAYS remeber this format: y = mx + b
In this equation, 'm' is the slope, and 'b' is the y-intercept
When you're trying to find a slope, remember that the equation is
When finding the rise and run, look at two points that are on the graph AND on the line as well. Essentially, make sure the points you're using are integers.
In this, case, the rise is -3, and the run is 2. This means that the slope is
Now we have the first part of our equation:
y = - + b
But wait! How do we find b?
Sometimes you have to input x in order to find it, but only when you're not supplied with a graph. In this case, all you have to do is look!
The point of the line that is on the y-axis is called the y-intercept.
In this graph, the y-intercept is -1
Now we have our complete equation!
y = - - 1
Good luck!
The correct option regarding whether the sum of a rational number and an irrational number is always irrational is given by:
Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.
<h3>What are rational and irrational numbers?</h3>
- Rational numbers are numbers that can be represented by fractions, such as terminating decimals.
- Irrational numbers are numbers that cannot be represented by fractions, such as non-terminating decimals and non-exact roots.
The sum of a terminating decimal with a non-terminating decimal always results in a non terminating decimal, that is, the sum of a rational number with an irrational number is always irrational, and the correct option is given by:
Yes. The claim is correct because √ 16 + π = 4 + π , and 4 + π is an irrational number.
More can be learned about rational and irrational numbers at brainly.com/question/17232771
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