Combine the terms by multiplying into a single fraction.
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Combine the multiplied terms into a single fraction
Find the common denominator.
Combine fractions with the lowest common denominator.
Multiply the numbers.
Eliminate the denominators of the fractions.
Cancel the multiplied terms that are in the denominator.
To distribute.
Add 28 to both sides.
Simplify
Subtract 3x from both sides.
Simplify
Divide both sides by the same factor.
Simplify
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<h3>Verification</h3>
Let x=12.
Checked ✅
Answer:
12:30
Step-by-step explanation:
first start with the number you are given
You will have to figure out the last equation but here is the rest:
This is the concept of trigonometry, the value of the measure of the supplementary angles can be obtained as follows;
supplementary angles sum up to 180 degrees, thus;
(2x+3)+(3x+2)=180
2x+3+3x+2=180
collecting like terms we get:
2x+3x+3+2=180
5x+5=180
5x=180-5
5x=175
thus;
x=175/5
x=35
Thus the value of the angles will be:
3x+2
=35*3+2
=107
the size of the other angle will be:
180-107
=73
Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
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