Two dice are rolled simultaneously and the difference of the numbers are
found.
(a) Draw a table to show all the possible outcomes after the rolling of the two
dice.

Answer:

Step-by-step explanation:

This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have

[tex]17^2+19^2=c^2[/tex] which simplifies to

[tex]289+361=c^2[/tex] and

[tex]650=c^2[/tex] and

c = 25.5"

Answer:

Step-by-step explanation:

(44=6x-1+9x.-5)

We move all terms to the left:

(44-(6x-1+9x.-5))=0

We add all the numbers together, and all the variables

(44-(6x+9x.-6))=0

We calculate terms in parentheses: +(44-(6x+9x.-6)), so:

44-(6x+9x.-6)

determiningTheFunctionDomain

-(6x+9x.-6)+44

We get rid of parentheses

-6x-9x.+6+44

We add all the numbers together, and all the variables

-6x-9x.+50

Back to the equation:

+(-6x-9x.+50)

We get rid of parentheses

-6x-9x.+50=0

We move all terms containing x to the left, all other terms to the right

-6x-9x.=-50

Answer:

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Step-by-step explanation:

The hourly rate of plumber T is $87 per hour and have an initial cost of $41.

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial amount.

From the table, using points (1, 128) and (2, 215):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-128=\frac{215-128}{2-1}(x-1)\\ \\y= 87x+41[/tex]

The hourly rate of plumber T is $87 per hour and have an initial cost of $41.

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

Initial cost: $ 41

Rate per hour: $87

Equation: y=87x+41

Step-by-step explanation:

Sorry I do not know the difference in cost.

Answer:

-8+5√2 and -8-5√2

Step-by-step explanation:

Given the expression x² + 16x + 14 = 0

USing the general formulas

x = -16±√16²-4(14)/2

x = -16±√256-56/2

x = -16±√200/2

x = -16±10√2/2

x = -8±5√2

Hence the required solutions are -8+5√2 and -8-5√2

LETS GOOOOOOOOOOOOOOO

Answer:

-1/2, 7

Step-by-step explanation:

Given the expression

(x -7)(-4x -2)=0

This means that;

x - 7  = 0 and -4x - 2 = 0

x = 0+7 snd -4x = 2

x = 7 and x =  -2/4

x = 7 and -1/2

Hence the solution from least to greatest is -1/2, 7

Answer:

v = - 2

Step-by-step explanation:

Given

- 12 = 2 + 5v + 2v ( subtract 2 from both sides )

- 14 = 7v ( divide both sides by 7 )

- 2 = v

Answer:

9 + 10 + 11

Step-by-step explanation:

guess and check

Answer:

9,10,and 11

Step-by-step explanation:

Answer:

a). 2    b). -6

Step-by-step explanation:

4+x

4 + (-2)

= 2

3x

= 3(-2)

= - 6

Answer:

Exact Form: [tex]-\frac{1}{3}[/tex]

Decimal Form: -0.333...

Answer:

around 150 to 170 votes

Step-by-step explanation:

exactly atleast 160

Answer:

d. 84 yd

Step-by-step explanation:

[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]

Answer:

2(3h+7)

=6h+14

6h+7+7 (True)

3h+3h+14 (True)

Answer:

1 gallon : 25.6 miles

Step-by-step explanation:

So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.

So basically, we see the first set of units is:

2 gallons - 51.2 miles

So basically, for every 2 gallons, there are 51.2 miles.

To find the ratio, or rate, we must find the miles per gallon.

We can do that by dividing both sides by 2:(g=gallons, m=miles)

2g/2=51.2/2m

=

g=25.6

So for every gallon, there is 25.6 miles.

We can write this as:

1 : 25.6

Hope this helps!

Answer:

25.6

Step-by-step explanation:

51.2/2=25.6

Answer:

Step-by-step explanation:

 Slope = 3.200/2.000 = 1.600

 x-intercept = 5/8 = 0.62500

 y-intercept = 5/-5 = 1/-1 = -1.00000

Answer:

(3, - 1)

Step-by-step explanation:

We want to solve the system of equations:

2*x - y = 7

x - 2*y = 5

graphically.

To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:

y = -7 + 2*x

y = -(5/2) + x/2

Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.

Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.

Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)

Answer:

gradient = 1

Step-by-step explanation:

Calculate the gradient m using the gradient formula

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

with (x₁, y₁ ) = (- 1, 0 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = [tex]\frac{1-0}{0-(-1)}[/tex] = [tex]\frac{1}{1}[/tex] = 1

Answer:

no  x = -8/13

Step-by-step explanation:

6x – (3x + 8) = 16x

Combine like terms

6x -3x -8 = 16

3x-8 = 16

Subtract 3x from each side

3x-8-3x = 16-3x

-8 = 13x

Divide by 13

-8/13 = 13x/13

-8/13 =x

Answer:

No, the answer would be -8/13

Step-by-step explanation:

6x-(3x+8)=16x

6x-3x-8=16x

3x-16x=8

-13x=8

x=-8/13

Answer:

x = 14.1

Step-by-step explanation:

sin (40) = x/22

x = 22 (sin(40))

x = 14.1

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

1. First do the brackets because BEDMAS

So, (12÷4+1) = 4

2. 15 - 1 x 4

3. 15 - 4

4. 11

Hope this helps! :)

Use the symbolab website/app it's really helpful

Answer:

0.5 or 1/2

Step-by-step explanation:

each number is half of the bigger triangle. so the answer should be half or 0.5.

EX: 48 x 0.5 = 24

Answer:

I say electrons

Step-by-step explanation:

It has more electrons than protons so it becomes - charged

Answer:

2^5/2-8 may equivalent

Answer:

72 ft^2

Step-by-step explanation:

A = bh

A = 12 ft * 6 ft

A = 72 ft^2

Answer:

72

Step-by-step explanation:

you have to do base times height

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

2 cm

Step-by-step explanation:

Answer:

a: 500in squared

Step-by-step explanation:

A=(a+b)/2 x h.

19+31=50

50/2=25

25×20=500