Can Anyone Help With Algebra?
Can anyone tell me how to solve these two problems?
-7 < 9x + 2 < 11
The length of a rectangular garden is 7 feet longer than its width. The perimeter of the garden is 38 feet.
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can anyone help me with an algebra 1 question? I am having problems with these questions. Thanks if you can help! (: DIRECTIONS: SOLVE THE FORMULA FOR THE INDICATED VARIABLE. 1) Volume of a rectangular prism: V .
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Best Answer: Hi, box 2 1) answer 4 everything but x = -1 and x = 1 2) g(2) = 4 and f(4) or f(g(2)) = 27 3) 2 4) x = -2 27⁴ + 1000(2)(-2) = 527441 box 4 1 (source)
-7 < 9x + 2 < 11
-9 < 9x < 9
-1 < x < 1
l – 7 = w
2l + 2w = 38
2l + 2l – 14 = 38
4l = 52
l = 13 feet
w = 6 feet
-7 < 9x + 2 < 11
-7 -2 < 9x + 2-2 < 11-2 //// subtract 2 from each
-9 < 9x < 9 ///// divide each term by 9
-1 < x < 1
-7 < 9x + 2 < 11
-7-2 < 9x < 11-2
-9 < 9x < 9
-1 < x < 1
L = W+7
2(L+W) = 38
2(W+7 + W) = 38
2W + 7 = 19
2W = 19-7 = 12
W = 6
L = 6+7 = 13
Length = 13 feet
Width = 6 feet
…
-9<9x<9
2(7+x)+2*x=38
-1
4x=28
x=7 : width
length = 14
In the first one, I’d subtract 2 from each part and then divide everything by 9:
-9 < 9x < 9
-1< x < 1
x = 0
In the second one, I’d use the equation for perimeter: p = 2l + 2w.
Remember that the length = (w + 7), and substitute that for length in the equation:
38 = 2(w + 7) + 2w
38 = 2w + 14 + 2w
38 = 4w + 14
24 = 4w
6 = w
That means that the length is 13.
ANSWERS:
x = 0
Length = 13 width = 6