Solve for x:
4 (6 x + 1) - 3 (4 x + 3) = 43
-3 (4 x + 3) = -12 x - 9:
-12 x - 9 + 4 (6 x + 1) = 43
4 (6 x + 1) = 24 x + 4:
24 x + 4 - 12 x - 9 = 43
Grouping like terms, 24 x - 12 x - 9 + 4 = (24 x - 12 x) + (4 - 9):
(24 x - 12 x) + (4 - 9) = 43
24 x - 12 x = 12 x:
12 x + (4 - 9) = 43
4 - 9 = -5:
12 x + -5 = 43
Add 5 to both sides:
12 x + (5 - 5) = 5 + 43
5 - 5 = 0:
12 x = 43 + 5
43 + 5 = 48:
12 x = 48
Divide both sides of 12 x = 48 by 12:
(12 x)/12 = 48/12
12/12 = 1:
x = 48/12
The gcd of 48 and 12 is 12, so 48/12 = (12×4)/(12×1) = 12/12×4 = 4:
Answer: x = 4
The mean of a set of numbers is the sum divided by the number of terms.
The mean is 6
The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.
We need to find the solution to the given function.
<h3>How to find the solution to the function from the graph?</h3>
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be at the point where the two lines intersect.
From the given graph we can see that the two functions are intersecting at (–2,–4) and (4,8).
The solution points to the system graph are (–2,–4) and (4,8). Therefore, option A is correct.
To learn more about the solution points for the system graph visit:
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Answer:
16
Step-by-step explanation:
The square numbers are
1² = 1
2² = 4
3² = 9
4² = 16 ← this is the closest perfect square
5² = 25 (not applicable, over 22)
Answer:
B. −x^2+2x+4
Step-by-step explanation:
(f-g)(x)
fx - g=
6x^2+4x−7−2x−7x^2+11
=6x^2+4x+−7+−2x+−7x^2+11
Combine Like Terms:
=6x^2+4x+−7+−2x+−7x^2+11
=(6x^2+−7x^2)+(4x+−2x)+(−7+11)
=−x^2+2x+4