Answer:
SV is 5
Step-by-step explanation:
SV and TU must be equal, so x+3=4x-3 x=4x-6 x=2
SV=2+3
SV=5
Answer:
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Step-by-step explanation:
Answer:
The vertex form is y = (x + 4)² - 13
The minimum value of the function is -13
Step-by-step explanation:
∵ y = x² + 8x + 3
∵ 8x ÷ 2 = 4x ⇒ (x) × (4)
∴ We need ⇒ x² + 8x + 16 to be completed square
∴ y = (x² + 8x + 16) - 16 + 3 ⇒ we add 16 and subtract 16
∴ y = (x + 4)² - 13 ⇒ vertex form
∵ The vertex form is (x - a)² + b
Where a is the x-coordinate of the minimum point and b is y-coordinate of the minimum point (b is the minimum value of the function)
∴ The minimum value is -13
the plus sign (+) means above seal level
so the sign should say 2100 feet above sea level
Answer:
8700 cubic inches, about 37.66 gallons
Step-by-step explanation:
The volume of a rectilinear space is the product of its length, width, and height. So, the volume of the tank is ...
V = L·W·H
V = (60 in)(14 1/2 in)(15 in) = 13050 in³
Since the tank is 2/3 filled, the volume of the water is ...
water volume = (2/3)V = 2/3 × 13,050 in³ = 8,700 in³
_____
There are 231 in³ in a gallon, so the number of gallons of water in the tank is ...
(8700 in³)/(231 in³/gal) ≈ 37.66 gal