given f(x)=8x+13 and g(x)=x^2-5x, find (f-g)x

Given:

A fair die is rolled.

It pays off $10 for 6, $7 for a 5, $4  for a 4 and no payoff otherwise.

To find:

The expected winning for this game.

Solution:

If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.

The probability of getting a 6 is:

[tex]P(6)=\dfrac{1}{6}[/tex]

The probability of getting a 5 is:

[tex]P(5)=\dfrac{1}{6}[/tex]

The probability of getting a 4 is:

[tex]P(4)=\dfrac{1}{6}[/tex]

The probability of getting other numbers (1,2,3) is:

[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]

[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]

We need to find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.

[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]

[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]

[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]

[tex]E(x)=\dfrac{10+7+4}{6}[/tex]

[tex]E(x)=\dfrac{21}{6}[/tex]

[tex]E(x)=3.5[/tex]

Therefore, the expected winnings for this game are $3.50.

Answer:

The domain of a function is the input numbers that, when plugged into a function, the result is defined. In simple words, we can define the domain of a function as the possible values of x that will make an equation true.

The range of a function is defined as a set of solutions to the equation for a given input. In other words, the range is the output or y value of a function. There is only one range for a given function.

hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps

Answer:

Option (2)

Step-by-step explanation:

ABCD is a parallelogram having vertices A(0,7) and C(2, 1).

Therefore, length of diagonal AC = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                                                       = [tex]\sqrt{(0-2)^2+(7-1)^2}[/tex]

                                                       = [tex]\sqrt{40}[/tex]

Since, diagonals of a rectangle measure the same and bisect each other,

Length of other diagonal BD will also measure [tex]\sqrt{40}[/tex].

Therefore, Option (2) will be the correct option.

Answer:

3

Step-by-step explanation:

[tex]\sqrt{9}=\sqrt{3*3} = 3[/tex]

Step-by-step explanation:

the Adjacent = √15²-9²=√225-81=√144=12

sin 0 = 9/15 = 3/5

cos 0 = 12/15 = 4/5

tan 0 = 9/12 = ¾

sec 0 = 15/12 = 5/4

csc 0 = 15/9 = 5/3

cot 0 = 12/9 = 4/3

Answer:

3

Step-by-step explanation:

you have to solve for x then you can find the coeeffiecnt

Answer:

77°

Step-by-step explanation:

103° + ∠1° = 180°

Answer:

y=-x-3

Step-by-step explanation:

Answer:

121x+y²

Your Welcome

BIFFY OUT!!!

Answer:

if I am understood your question correctly, X would be 84/29

Step-by-step explanation:

Answer:

18 rungs

Step-by-step explanation:

Let x = number of rungs

x/2 = middle

Climbed 3

x/2 +3

Down 5  

x/2 +3 -5

Climbed 9

x/2 +3 -5+9

Then climbed 2 more

x/2 +3 -5+9 +2

Now is at the top

x/2 +3 -5+9 +2 =x

Combine like terms

x/2 +9 = x

Subtract x/2 from each side

x/2+9-x/2 = x - x/2

9 = x/2

Multiply each side by 2

18 =x

Answer:

where are you from Korea or not

Hope it helps you!

-miraculousfanx-

Answer:

y = -2x + 2

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (2, -1)

Points on the y-axis (y1, y2) = (-2, 4)

To find the equation of line in slope intercept form;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {4 - (-2)}{-1 -2} [/tex]

[tex] Slope, m = \frac {4 + 2}{-1 -2} [/tex]

[tex] Slope, m = \frac {6}{-3} [/tex]

Slope, m = -2

Next, we would use the following formula to find the equation of the line;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-2) = -2(x - 2)

y + 2 = -2x + 4

y = -2x + 4 - 2

y = -2x + 2 = mx + c

Answer:

A

because range is all values of Y but in negative side it is infinity but in positive side range is 4

Answer:

y = -4/3x + 2

Step-by-step explanation:

Slope intercept form is y = mx + b.

Rearrange the equation into slope intercept form by isolating y:

12x + 9y = 18

9y = -12x + 18

Divide each side by 9:

y = -4/3x + 2

So, the equation is y = -4/3x + 2

Answer:

x=20

Step-by-step explanation:

120=6x

120/6=6x/6

20=x

Answer:

CNC app BC we can we can MN we all at can we can we do all we can we go we go we cannot GL can see VM we BM

Answer:

9%

Step-by-step explanation:

Principal x interest rate=yearly interest

1434.85 x interest rate =126.77

interest rate = 126.77/1434.85

interest rate=.088 or 9%

Answer:

144

Step-by-step explanation:

Divide the b term which is 24 by 2

Gives you 12, then square it.

that's 144

formula for completing squares is [tex](b/2)^{2}[/tex]

Answer:

(15x + 120) ft³

Or

15(x + 8) ft³

Step-by-step explanation:

The prism can be decomposed into a rectangular prism and a triangular prism

The volume of the prism = volume of the rectangular prism + volume of the triangular prism

✔️Volume of rectangular prism = L*W*H

L = 5 ft

W = 4 ft

H = 6 ft

Volume = 5*4*6 = 120 ft³

✔️Volume of triangular prism = ½*b*h*l

b = x ft

h = 6 ft

l = 5 ft

Volume = ½*x*6*5 = 15x ft³

✔️Volume of the prism = (15x + 120) ft³

Answer:

option C = $13

Step-by-step explanation:

Amount she had in the beginning = $73

Cost of shirt = $22

Let the cost of jeans be = x

Balance in hand = $38

Amount in hand = 38 + 22 + x

                 73 = 60 + x

                 73 - 60 = x

                   13 = x

Therefore, cost of  a pair of jeans = $13

Answer:

The answer is C

Step-by-step explanation:

Answer:

10π in.

Step-by-step explanation:

circumference of a circle = 2πr

=2*π*5

=10π in.

Answer:

<5 and <7 are corresponding angles.

Step-by-step explanation:

<5 and <7 are corresponding angles.  They are on the same side of the transversal and on the same position on each of the parallel lines

Answer:

(a) By converting to decimal:

2:3=23=0.6¯

4:5=45=0.8

As 0.6¯<0.8,2.:3<4:5.

(b) By converting to fractions:

Ratios can be compared by converting them to like fractions.

2:3=23=2(5)3(5)=1015

4:5=45=4(3)5(3)=1215

As 1015<1215,2:3<4:5.

Answer: The length of DC is 3 units

Step-by-step explanation:

The Basic proportionality theorem states that if a line is parallel to one side of a triangle and intersects the other two at different points, then the other two sides are divided in the same ratio.

The given image is attached below.

From the BPT theorem, we can say that:

[tex]\Rightarrow \frac{AE}{EB}=\frac{AD}{DC}[/tex]

We are given:

AE = 12 units

EB = 4 units

AD = 9 units

Putting values in above equation, we get:

[tex]\Rightarrow \frac{12}{4}=\frac{9}{DC}\\\\\Rightarrow DC=\frac{9\times 4}{12}\\\\\Rightarrow DC=3 units[/tex]

Hence, the length of DC is 3 units

Answer:

The answer is 3 units

Step-by-step explanation:

Answer:

7.65 or 7.7 rounded to 1 DP

Step-by-step explanation:

To find the length of the side of a cube we do the inverse of finding the volume.

one side= x

If x³ = volume, therefore ∛448 is how to find the length of one side.

∛448= 7.65

I hope this helps you.

Answer:

3

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

just did it

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

use this formula(a+b+c) a,b,c are the 3 sides of a triangle this will help you to find the perimeter of a triangle