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Airida [17]
3 years ago
9

Evaluate the function f(x)=−4x^2+6x−4 Find f(5)

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Hey there!

1. How to find f(5)?

  • To find f(5) - simply substitute x = 5 in the function. f(5) means the value of f(x) at x = 5.

2. Substitution and Evaluate

\large{f(5) =  - 4( {5})^{2}  + 6(5) - 4}

Remember to follow the PEMDAS/BODMAS rules! Exponent comes before multiplication.

\large{f(5) =  - 4(25) + 30 - 4} \\  \large{f(5) =  - 100 + 30 - 4} \\  \large{f(5) =  - 74}

3. Final Answer

  • f(5) = -74

If you have any questions regarding the question or my answer, feel free to ask!

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Answer:

It is given that the volume of a cone = 3\pi x^3 cubic units

Volume of cone with radius 'r' and height 'h' = \frac{1}{3}\pi r^2h

Equating the given volumes, we get

3\pi x^3=\frac{1}{3}\pi r^2h

r^2h=3 × 3x^3

r^2h=9 x^3

It is given that the height is 'x' units.

Therefore, r^2x=9x^3

r^2=9x^2

Therefore, r=3 x

So, the expression '3 x' represents the radius of the cone's base in units.

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2 years ago
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Answer: 1: lease the car, 2: 4,643.46 3: 12,160.26

Step-by-step explanation:

3 0
3 years ago
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What are the possible lengths of side Ab in a triangle which the given side lengths of 3 and 5 cm?
natali 33 [55]

Answer:

Plug this in a calculator and the answer will pop up.

Step-by-step explanation:

\sqrt{5^{2} +3^{2}

5 0
3 years ago
HELPPPPPPPPPPPPPPP RATE 5 STARSS
Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13.  The length of a side PQ with coordinates of

      P as (x,y)  and Q as (w,z)

       is: \sqrt{(x-w)^{2} +(y-z)^{2} }

  • so, the length of the side AB =

\sqrt{(5-5)^{2}+(-2+7)^{2}  } =\sqrt{0^{2}+5^{2}  } =5

  • the length of side BC =

\sqrt{(5-1)^{2}+(-7+2)^{2}  } =\sqrt{(4)^{2}+(-5)^{2}  } =\sqrt{4^{2}+5^{2}  }

  • the length of side AC=

\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4

now, the easiest one will be when the vertices are on the coordinate axes.

  • so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

  • here, the alternate interior angles are angle1 and angle4.
  • therefore to prove this step, he used parallel postulate as a reason.
  • so, the correct option is "a"

7 0
4 years ago
Soft drinks are being purchased in case of 24. If there are 1008 soft drinks to packed,how many cases are needed?​
galben [10]

Answer:

42 Cases.

Step-by-step explanation:

1008 divided by 24 = 42

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