Given the perimeter and length of the garden, the width of the garden was extended by 4 feet
<h3>How to find width of the garden</h3>
- Length of the garden = 12 feet
- Width of the garden = 7 feet
- Width extension =( 7 + w) feet
Perimeter = 2(length+ width)
46 = 2{12 + (7 + w)}
46 = 2(12 + 7 + w)
46 = 2(19 + w)
46 = 38 + 2w
46 - 38 = 2w
8 = 2w
w = 8/2
w = 4 feet
Learn more about perimeter:
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Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
Answer:
10
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Area is l x h. If that's the case then we need to do the oposite of multiplication to get the answer we need. Divide 375cm an 25cm to get your answer.
Original Equation:
A = l x h
New Equation:
A/l = h