The solution set of the equation is all reals ⇒ 3rd answer
Step-by-step explanation:
The solution set of an function is the set of all vales make the equation true. The equation has:
- Solution if the left hand side is equal to the right hand side
- No solution if the left hand side doesn't equal the right hand side
∵ The equation is 18 - 3n + 2 = n + 20 - 4n
- Add the like terms in each side
∴ (18 + 2) - 3n = (n - 4n) + 20
∴ 20 - 3n = -3n + 20
- Add 3n to both sides
∴ 20 = 20
In the equation of one variable, when we solve it if the variable is disappeared from the two sides, and the two sides of the equations are equal, then the variable can be any real numbers, if the two sides are not equal, then the variable couldn't be any value
∵ The the variable n is disappeared
∵ The left hand side = the right hand side
∴ n can be any real number
∴ The solution set of the equation is all real numbers
The solution set of the equation is all reals
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Answer:
(x - 6)(x + 3)
Step-by-step explanation:
Given
x² - 6x + 3x - 18 ( factor the first/second and third/fourth terms )
= x(x - 6) + 3(x - 6) ← factor out (x - 6) from each term
= (x - 6)(x + 3)
9514 1404 393
Answer:
1. proportional, 6
2. not proportional
Step-by-step explanation:
<u>Table 1</u>
Each y-value is 6 times the corresponding x-value, so the variables are proportional, and y = 6 times x.
<u>Table 2</u>
The ratios of y to x are 2, 4, 8, so are not the same. The values are not proportional.
Answer:
g(x) = x² - 4 is already in form of a variable, I.e., x
g(4x) takes another variable, I.e., 4x
Same as before, 4x takes over x:
=> g(4x) = (4x)² - 4
- <em>(</em><em>ax</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>a</em><em>²</em><em>x</em><em>²</em><em>,</em><em> </em><em>where</em><em> </em><em>a</em><em> </em><em>is</em><em> </em><em>some</em><em> </em><em>arbitrary</em><em> </em><em>constant</em><em>.</em><em> </em>
<h3><u>Answer</u><u>:</u> </h3>
=> g(4x) = 16x² - 4
OR
=> g(4x) = 4{4x² - 1}
Answer:
the number is 33 and 35 respectively
Step-by-step explanation:
The computation is shown below:
Let us assume X and X + 2 are the two consecutive odd integers
Now the equation is
(X ÷ 3) = ((X + 2) ÷ 7) + 6
(X ÷ 3) = (X + 2 + 6 × 7) ÷ 7
(X ÷ 3) = (X + 2 + 42) ÷ 7
(X ÷ 3) = (X + 44) ÷ 7
Now do the cross multiplication
7X = 3(X + 44)
7X = 3X + 132
4X = 132
X = 33
And, X + 2 = 33 + 2 = 35
hence, the number is 33 and 35 respectively
