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Bond [772]
2 years ago
14

What is the axis of symmetry for the function f(x)=7−4x+x2?

Mathematics
2 answers:
Rufina [12.5K]2 years ago
6 0

Answer:

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by  

Comparing this equation with vertex form of a parabola , where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.

Ulleksa [173]2 years ago
3 0
I was going to help you with this one but it looks like you got it all covered !!!!
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Total revenue the previous year would be $46,355
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One-Half the difference of a number and 15
slega [8]

Answer:

x - 15 ÷ 2

Step-by-step explanation:

Since it wants you to find the half of your answer after you find the difference, be sure to leave the two at the end of your equation. With that said, let's move into finding out what "the difference of a number and fifteen is". Whenever they tell you 'a number', it means they want you to put a variable, such as x, since you do not know the number and it could be any number. Now, the "difference" of something usually means...you guessed it, subtraction! Now that you've decoded your equation, you now know it means that x - 15 is the first part, and you can now put the one half right after it.

If this is confusing, I can explain further. :D

5 0
3 years ago
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A cylinder with a radius of 12cm and a height of 20cm has the same volume as a cone with a radius of 8cm. What is the height of
ivanzaharov [21]

Answer: 135cm

Step-by-step explanation

Volume of a cylinder = πr²h

Volume of a cone. = 1/3πr²h

The two shapes are both solid shapes.

Since the have same volume, we can then equate the two together and solve for the height of the cone.

Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.

Now equating the two

πR²H = 1/3πr²h

Now substitute for the values now

Multiply through by 3

3πR²H = πr²h

But π is common so it could be obliterated from the equation

3R²H = r²h

3 x 12² x 20 = 8² x h

3 x 144 x 20 = 64 x h

60 x 144 = 64h

8640. = 64h

Therefore

h = 8640/64

= 135cm

8 0
3 years ago
Write the rule of the nth term of each sequence 7,4,1,-2
Zarrin [17]

Answer:

a_{n} = 10 - 3n

Step-by-step explanation:

the terms 7, 4, 1, - 2 form an arithmetic sequence with n th term

a_{n} = a_{1} + (n - 1)d

where d is the common difference and a_{1} the first term

here d = - 2 - 1 = 1 - 4 = 4 - 7 = - 3 and a_{1} = 7, hence

a_{n} = 7 - 3(n - 1) = 7 - 3n + 3 = 10 - 3n


8 0
3 years ago
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