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Triss [41]
3 years ago
6

Given f(x) = 2x + 9, if f(x) = 15, find x.​

Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

<h2>x = 3</h2>

Step-by-step explanation:

f(x)=2x+9\\\\\text{Substitute}\ f(x)=15:\\\\15=2x+9\qquad\text{subtract 9 from both isdes}\\\\15-9=2x+9-9\\\\6=2x\qquad\text{divide both sides by 2}\\\\\dfrac{6}{2}=\dfrac{2x}{2}\\\\3=x\to x=3

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irinina [24]

Answer:

(a) The largest square side is 24 inches

(b) No. of pieces are 14

Step-by-step explanation:

As per the question:

The dimensions of the fabric are 48 in\times 168 in

(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:

48 = 2\times 2\times 2\times 2\times 3

168 = 2\times 2\times 2\times 3\times 7

Therefore,

The GCF of the dimensions = 48 = 2\times 2\times 2\times 3 = 24

Therefore, the largest side of  a square that can be cut from the fabric is 24 inches.

(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:

No. of pieces = \frac{Total\ Area}{Area\ of\ largest\ square}

No. of pieces = \frac{48\times 168}{24\times 24} =  14

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