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Answer:
(c) g(x) = 1/3·f(x)
Step-by-step explanation:
You can pick a point, such as the vertex at (2, -3) on f(x) and see which of the transformations gives you a point on the graph of g(x).
You will find that g(x) represents a vertical scaling by a factor of 1/3, so ...
g(x) = 1/3·f(x)
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The point (2, -3) on f(x) corresponds to the point (2, -1) on g(x).
Answer:
x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x over the real numbers:
x/x - 1 = x - 3 - 2/x
x/x - 1 = 0:
0 = x - 3 - 2/x
0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:
x - 3 - 2/x = 0
Bring x - 3 - 2/x together using the common denominator x:
(x^2 - 3 x - 2)/x = 0
Multiply both sides by x:
x^2 - 3 x - 2 = 0
Add 2 to both sides:
x^2 - 3 x = 2
Add 9/4 to both sides:
x^2 - 3 x + 9/4 = 17/4
Write the left hand side as a square:
(x - 3/2)^2 = 17/4
Take the square root of both sides:
x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Answer:
A=2 (Wl+hl+hw)
Step-by-step explanation:
L=Length
W=Width
H=Height
Answer:
Let the marked price be x
Discount % = 10%
Discount = 10\% \times x = 0.1x10%×x=0.1x
Cost after discount = x-0.1x = 0.9x
10%vat is charged on it
Cost including VAT = 0.9x+0.1(0.9x)=0.99x0.9x+0.1(0.9x)=0.99x
We are given that it's price became rs 1672
So, 0.99x = 1672
x=\frac{1672}{0.99}x=0.991672
x=1688.88
Discount = 0.1x=0.1(1688.88)=168.888
Hence The discount
Answer:
$2.06 tax
Step-by-step explanation:
$24.99 pants
$27.05 total cost with tax
24.99 + tax = 27.05
tax = 27.05 - 24.99
27.05 - 24.99 = 2.06
