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Alina [70]
3 years ago
9

Write the quadratic function in standard form. f(x) = - 2(x - 6)^2 - 5 f(x) =???

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0
-2(x^2-12x+36)-5
-2x^2+24x-72-5
f(x)=-2x^2+24x-77 is the final answer in standard form
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F has 10 more marbles than I. Both boys have 15 marbles combined. How many marbles does each boy have?
olganol [36]

Answer:

F has 10 marbles and I has 5 marbles.

Step-by-step explanation:

First, I subtracted 10 from 15 since F has 10  more marbles than I. When I subtracted I got 5.

Hope this helps!!!!

4 0
3 years ago
Samantha spent 40 minutes on homework. Sixty percent of that time was spent on language arts.how many minutes were spent on lang
yan [13]
If you would like to know how many minutes were spent on language arts, you can calculate this using the following steps:

60% of 40 minutes = 60% * 40 = 60/100 * 40 = 24 minutes

The correct result would be: 24 minutes were spent on language arts.
3 0
4 years ago
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what is the equation for A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.
zhuklara [117]

Answer: 150

Step-by-step explanation:

4 0
3 years ago
The circumference of the ellipse approximate. Which equation is the result of solving the formula of the circumference for b?
Serhud [2]

Answer:

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

Step-by-step explanation:

Given - The circumference of the ellipse approximated by C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }where 2a and 2b are the lengths of 2 the axes of the ellipse.

To find - Which equation is the result of solving the formula of the circumference for b ?

Solution -

C = 2\pi \sqrt{\frac{a^{2} + b^{2} }{2} }\\\frac{C}{2\pi }  =  \sqrt{\frac{a^{2} + b^{2} }{2} }

Squaring Both sides, we get

[\frac{C}{2\pi }]^{2}   =  [\sqrt{\frac{a^{2} + b^{2} }{2} }]^{2} \\\frac{C^{2} }{(2\pi)^{2}  }   =  {\frac{a^{2} + b^{2} }{2} }\\2\frac{C^{2} }{4(\pi)^{2}  }   =  {{a^{2} + b^{2} }

\frac{C^{2} }{2(\pi )^{2} }  = a^{2} + b^{2} \\\frac{C^{2} }{2(\pi )^{2} }  -  a^{2} = b^{2} \\\sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}  = b

∴ we get

b = \sqrt{\frac{C^{2} }{2(\pi )^{2} }  -  a^{2}}

8 0
3 years ago
If a car is traveling 75 miles per hour, how many feet will it travel in 10 seconds?
Alekssandra [29.7K]

Answer:

Step-by-step explanation:

speed=75 miles per hour

speed=\frac{75 \times 1760 \times 3 }{3600 } =110 ~ft~/ ~s

distance covered in 10 seconds=110×10=1100 ft

3 0
3 years ago
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