Answer:
see explanation
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width )
perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in
perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in
Equating the two gives
10x - 6 = 24 ( add 6 to both sides )
10x = 30 ( divide both sides by 10 )
x = 3
Thus
length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in
Width of rectangle B = x = 3 in
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25 pens is better because if you see the cost of one it will be cheaper
Answer:
The domain for A is 0, 1, 2, 3 and the range is 0, 5, 10, 15
and the domain for B is 2, 2, 4, 4 and the range is 4, 3, 2, 1
Only A is a function because for the same input value in B, there is two different output values which is not possible.
Step-by-step explanation:
I just wanna let you know so you don't waste any more points for us, but the domain is the x-values/ input/ stuff on the left of a given point. The range is the y-values, the output, and the stuff on the right side of a given point. So on (1, 7) for example, the 1 would be the domain number and the 7 would be the range number.
The y-axis values are the output/range and the x-axis values are the input/domain.
Hope this helps bro
Answer:
x = -1
, y = 5
Step-by-step explanation:
Solve the following system:
{5 x + 3 y = 10 | (equation 1)
x = y - 6 | (equation 2)
Express the system in standard form:
{5 x + 3 y = 10 | (equation 1)
x - y = -6 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 3 y = 10 | (equation 1)
0 x - (8 y)/5 = -8 | (equation 2)
Multiply equation 2 by -5/8:
{5 x + 3 y = 10 | (equation 1)
0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -1
, y = 5
