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Naddika [18.5K]
3 years ago
12

Kindly help me out..................

Mathematics
2 answers:
kenny6666 [7]3 years ago
4 0

Answer:

The second function represents an even function; g(x)=2x^{2} +1

Step-by-step explanation:

A function f(x) is said to be even if f(x) = f(-x). All we need to do is replace x with -x in each equation, simplify it and assess whether the equation remains unchanged. If  the equation is identical to the original one then it is said to be even. Another good example of an even function is the cosine function. Moreover, even functions have y-axis symmetry

Masteriza [31]3 years ago
4 0

Answer:

Choice B is correct answer.

Step-by-step explanation:

We have given four functions.

We have to choose the even function.

A function is even when

       f(x) = f(-x)

A.   g(x) = (x-1)²+1

   g(-x) = (-x-1)²+1

   g(-x) ≠ g(x)

B.  g(x) = 2x²+1

 g(-x) = 2(-x)²+1

   g(-x) =  2x²+1

hence, g(x) =  g(-x)

C.   g(x) = 4x+2

g(-x) = 4(-x)+2

g(-x) =  -4x+2

hence,  g(-x) ≠ g(x)

D.    g(x) =2x

  g(-x) = 2(-x)

  g(-x) = -2x

hence,  g(-x) ≠ g(x)

Choice B is correct answer.

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MissTica
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3 0
3 years ago
Read 2 more answers
Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth.
katrin [286]

x=5.38 . Correct option C)5.38

<u>Step-by-step explanation:</u>

Here we have , Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth.  picture is attached  . Let's find out:

In the given figure , Let's draw a line from center to the point where cord of length 8 unit is touching the circle or intersecting or , where this chord finishes . This line is radius of circle and is denoted by x , So now we have a right angle triangle with dimensions as :

Perpendicular =3.6\\Base=\frac{8}{2}=4\\Hypotenuse=x

By Pythagoras Theorem ,

Hypotenuse^2=Perpendicular^2+base^2

⇒ x^2=(3.6)^2+(4)^2

⇒ x=\sqrt{(3.6)^2+(4)^2}

⇒ x=\sqrt{12.96+16}

⇒ x=\sqrt{28.96}

⇒ x=5.38

Therefore , x=5.38 . Correct option C)5.38

6 0
3 years ago
Solve this equation for a: 6a+3=45
fenix001 [56]

Answer: 7

Step-by-step explanation:

Step 1: Subtract 3 from both sides.

6a+3−3=45−3

6a=42

Step 2: Divide both sides by 6.

6a /6 = 42 /6

3 0
3 years ago
A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
qaws [65]

The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s

In this time, the projectile will have traveled horizontally a distance of

x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m

The projectile's horizontal and vertical velocities are given by

v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ

v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

7 0
3 years ago
Simplify : 48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}]​
garri49 [273]

Answer:

86

Step-by-step explanation:

48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2{1 (2 - 15÷3)}] \\ 8[ - 2.5{ (2 - 15÷3)}] \\ 8[ - 2.5{ ( - 13÷3)}] \\ 8[ - 2.5{ (  - 4.3)}] \\ 8[10.75 { }] \\  = 86

8 0
2 years ago
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