Use the table to write and solve an equation to and the number of points p you need to score in the fourth game so that the mean number of points is 20.The table is shown below

Game|Points
1 | 25
2 | 15
3 | 18
4 | p

Answers

Answer 1
Answer:

Answer:

The values of p is:

                   p=22

Step-by-step explanation:

We know that mean of a data set is the average of all the data values i.e. it is the ratio of the sum of all the data points to the total number of data points.

Here the table is given as:

Game |  Points

      1    |   25

      2   |    15

      3   |    18

      4   |     p

Also, it is given that:

The mean number of points is 20.

i.e.

(25+15+18+p)/(4)=20\n\ni.e.\n\n(58+p)/(4)=20\n\n58+p=20* 4\n\n58+p=80\n\np=80-58\n\np=22

Answer 2
Answer: (25 + 15 + 18 + p) / 4 = 20
(58 + p) / 4 = 20
58 + p = 20 * 4
58 + p = 80
p = 80 - 58
p = 22....he would have to score 22 on the 4th game for the mean of the points to be 20

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Answers

Answer:

3

Step-by-step explanation:

3 is the complete oposite of -1/3 in terms of slopes, therefore they are perpendicular to each other.

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(if you guys solve that I will put you brainlist and u will be my best number 1 math solving)

Answers

You x all the sides together and add the 2 numbers you get 

If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Answers

The correct answers are:
1) sin(x) = ( √(3) )/(2)
2) tan(x) = √(3)

Explanation:
Given:
cos(x) =  (1)/(2)

Step 1:
Since, according to the Trigonometric identity:
sin^2(x) + cos^2(x) = 1 -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
sin^2(x) + ( (1)/(2) )^2 = 1 \n sin^2(x) + (1)/(4) = 1 \n sin^2(x)  =  (3)/(4)

Step 3:
Take square-root on both sides:
√(sin^2(x)) =  \sqrt{(3)/(4)}

sin(x) = ( √(3) )/(2)

Now to find the tan(x), we would use the following formula:

tan(x) = (sin(x))/(cos(x)) --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = ( ( √(3) )/(2) )/( (1)/(2) )

Hence tan(x) = √(3)

Answer:

The value of \sin x=(√(3))/(2)

The value of \tan x=√(3)

Step-by-step explanation:

Given = \cos x=(1)/(2)

To find :\sin x=? and \tan x=?

Solution:

We know that, if the cosine function of an angle is(1)/(2) then the angle is equal to the 60°.

\cos x=(1)/(2)

x = 60°

The value of the :

\sin x=\sin 60^o=(√(3))/(2)

We know that ratio of sine function to the cosine function is equal tto the tangent

\tan x=(\sin x)/(\cos x)=((√(3))/(2))/((1)/(2))=√(3)

The value of \sin x=(√(3))/(2)

The value of \tan x=√(3)

Let f be the function defined by f(x) =x^4 -3x^2 +2A)find the zeros of f
B)write an equation of the line tangent to the graph of f at the point where x=1
C) find the x coordinate of each point at which the line tangent to the graph of f is parallel to the line y=-2x+4

Answers

A convenient way to find the zeros of  f(x)=x^4-3x^2 +2 is by factoring.

a) The equation,

x^4-3x^2 +2=0

can be rewritten as,

(x^2)^2-3(x^2) +2=0

We can think of this equation as a quadratic equation in  x^2, with a=1,b=-3\:\: and \:\: c=2.

Observe that ac=1 * 2=2.

We find two factors of 2 that adds up to -3. These are, -2,-1.


Now let us split the middle term. to obtain;

(x^2)^2-(x^2) -2(x^2)+2=0

We can factor to get,

(x^2)(x^2-1)-2((x^2-1)=0

We factor further to obtain;

(x^2-1)((x^2-2)=0

\Rightarrow (x-1)(x+1((x- √(2))(x+ √(2))=0

Hence the zeroes of f(x) are;

x=1,x=-1,x= √(2),x=- √(2)

b) To find the line tangent, we must first, find the slope using differentiation. That is,

Slope\:\: function=f'(x)=4x^3-6x

At x=1,

Slope=f'(1)=4(1)^3-6(1)=-2

Also, we need to determine the y value at x=1. That is;

f(1)=(1)^4-3(1)^2+2=0

Now we can use the slope m=-2 and the point (1,0) to write ythe equation of the line tangent.

y-y_1 =m(x-x_1)

\Rightarrow y-0 =-2(x-1)

\Rightarrow y=-2x+2


c)

If the line tangent is parallel to the line y=-2x+4, then

f'(x)=-2

Since parallel lines have the same slope.

\Righarrow 4x^3-6x=-2

\Righarrow 4x^3-6x+2=0

\Righarrow (x-1)(2x- ( √(3)-1)(2x+ ( √(3)-1)=0

Hence the x-coordinates are,

x=1,x= ( √(3)-1)/(2),x= -(√(3)-1)/(2)











The zeros of the function can be determined by equating the equation to zero and determining the values of x. 
 0 = x4  - 3x2 + 2 the roots are x1 = sqrt 2 x2 = -sqrt 2x3 = 1x4 = -1
The tangent line is determined by differentiating the polynomial and substituting x by 1 to get the slope. That is,  m  = 4x^3 - 6 x = 4*1 - 6 = -2y-y1 = m(x-x1)when x =1 , y = 1-3+2 = 0 
y - 0 = -2*(x-1)y = -2x + 2
c. y = -2x + 4  m = -2 -2 = 4x3 - 6x  x= -1.3666 ; y =-0.1160 x= 1.3666 ; y =--0.1160
x =1 ; y = 0

Find sin(7pie/4) using exact values

Answers

sin( ( 7\pi )/(4) )=-sin(2 \pi - ( 7\pi )/(4) )=-sin ( \pi )/(4) =- (1)/( √(2) )

This is for algebra 1

Answers

Answer:

h(2)= -17

Step-by-step explanation:

Answer:

h(x) = 31

Step-by-step explanation:

When it says find h (2), you will have to replace x with 2

h(x) = 3x^2 -5

h(x) = 3(2)^2 -5

h(x) = 6^2 - 5

h(x) = 36 - 5

h(x) = 31

Hope this helps =)