Direct variation
Explanation:
Given –2 + 4y + 2 = 8x.
To find the given expression –2 + 4y + 2 = 8x is direct variation or not.
If y varies directly as x, then y = kx.
If y varies inversely as x, then
⇒ –2 + 4y + 2 = 8x
Combine like terms together.
⇒ –2 + 2 + 4y = 8x
⇒ 4y = 8x
Divide both sides of the equation by 4, we get
⇒ y = 2x
Which is in the format of y = kx.
Thus y varies directly as x.
Hence, –2 + 4y + 2 = 8x is direct variation.
Solve & graph
The division of 50 by 6 is 8, with a remainder of 2. Therefore, 6 goes into 50 eight times.
Division is the process of splitting a quantity into equal parts or determining how many times one number is contained within another number. During division of Numbers, there are some numbers you will divide without remainders and there are some with remainders.
The remainder is the amount left over after dividing as much as possible. If there is a remainder, you can choose to express the division as a mixed number (a whole number plus a fraction) or as a decimal.
Division is represented by this sign ÷ or /. There are dividends, divisor and quotient. The dividend is the number that you want to divide. It is the quantity that you are trying to split or distribute. The divisor is the number by which you divide the dividend.
The quotient is the result of the division and represents the number of times the divisor is contained within the dividend.
Learn more about division of Numbers here
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It goes in 8 times use division to work the problem. 50/6= 8.3 so it can go in 8 times fully
Answer:
x < 5
Step-by-step explanation:
8-4x>-12
One solution was found :
x < 5
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
8-4*x-(-12)>0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
20 - 4x = -4 • (x - 5)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by -4
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Add 5 to both sides
x < 5
Inequality Plot :
2.3 Inequality plot for
-4.000 X + 20.000 < 0
vertical line:
Check the picture below.