So...
-2(16-4x)-8=6(x+2) Multiply
-32+8x-8=6x+12 Add like terms
-40+8x=6x+12 Subtract 6x from both sides
-40+2x=12 Add 40 to both sides
2x=52 Divide 2 from both sides
x=26 Substitute to check
-2(16-4(26))-8=6((26)+2) Add and multiply in parenthesis
-2(-88)-8=6(28) Multiply
176-8=168 Subtract
168=168
So x=26
I hope this helps! Have a great day!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The domain is the horizontal extent. Since there are arrows on both ends of the graph, the horizontal extent is from -∞ to ∞.
The range is the vertical extent. The graph shows a minimum at y=-2, which value is in the range. Expressed in interval notation, it is [-2, ∞).
Please note that the "end behavior" of y tends to +∞ in for either direction of x.
__
The graph is "increasing" where it has positive slope, for 3 < x. It is "decreasing" where it has negative slope, for x < 3.
The graph is positive where it is above the x-axis. The points on the x-axis are not part of the "positive" interval(s). You will note there are two intervals where the graph is positive. It isn't difficult to find the answer choice that is a union of two intervals.
The graph is negative where hit is below the x-axis. Again, the points at x=1 and x=5 are not part of that interval, so it is expressed using curved brackets.
Answer:
Step-by-step explanation:
Let be "l" the number of CDs Ms.Kitts sold last week, and "t" the number of CDs she sold this week.
You need to remember that:
1. The word "times" indicates a multiplication.
2. The word "more" indicates addition.
Then, the sentence "Last week she sold 6 more than 3 times the number of CDs that she sold this week" can be represented with equation:

According to the information given in the exercise, the sum of the number of CDs Ms. Kitts sold last week and this week is: 110 CDs.
Since a sum is the result an Addition, you can write the following equation:

Therefore, the System of equations that can be used to find the number of CDs she sold last week and the number of CDs she sold this week, is:
Answer:
a=121/2
Step-by-step explanation:
121-2a=0
-2a=-121
-2a/-2= -121/-2
a=121/2
Answer: Perimeter = (4x + 40) feet
Step-by-step explanation:
Given that the
Length of the garden = 15 feet
And
Width of the garden = 5 feet
The length and the width of the garden increase by an equal value.
To find the expression representing the perimeter of the garden,
Let x be the increased amount of length.
Thus, the new length of garden becomes (x+15) and the new width of garden becomes (x+5)
Let us assume that the garden is a rectangle, then,
Perimeter of garden = 2(L + W)
= 2(x + 15 + x + 5)
= 2(2x + 20)
= (4x + 40) feet.
Or
Perimeter = (x+15) + ( x + 5 ) ( x + 15 ) + (x + 5 )
= 4x + 40