Answer: g(x) has the smallest possible y-value of -3
<u>Step-by-step explanation:</u>
f(x) = 3ˣ - 3 <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>
Range: y > 3 (-3, ∞)
g(x) = 7x² - 3
⇒ g(x) = 7(x - 0)² - 3 <em>This is a parabola with vertex at (0, -3) </em>
Range: y ≥ 3 [-3, ∞)
Answer:
13 , 17 and 25 cm.
Step-by-step explanation:
Let the length of the first side be x cm.
Then the second is x+4 and the third is 2x-1 cm long.
As the perimeter = 55 cm we have the equation:
x + x + 4 + 2x - 1 = 55
4x + 3 = 55
4x = 52
x = 13 cm.
Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
Width of the rectangle is 13 ft and length of the rectangle is 33 ft
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14
⇒ 92 = 6x + 14
⇒ 78 = 6x
⇒ x = 78/6
∴ x = 13 ft
⇒ Width of the rectangle = 13 ft
∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft
$2, because if you do 8*25 you get 200 and if you divide that by 100 you get a total of 2 making the tax on the purchase $2.
