Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6. What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box. ​

The function f(x) will be sometimes positive and sometimes negative on the interval

Option (3) is correct.

An arrangement known as a function connects inputs to essentially one output.

In other words, a function is a relationship between variables, and the nature of that relationship—for example, y = sinx and y = x +6—defines the function.

Given function:

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

So, If x = 4, (x - 5) will be negative but (2x - 7) will be positive, resulting in a negative overall value.

Therefore, if x = 3, then (x - 5) will be negative, as well as (2x - 7), making the whole value negative.

Hence, the function f is sometimes positive and sometimes negative on the interval.

Learn more about function here:

brainly.com/question/23712366

#SPJ2

Answer:

x = 119, y =  55

Answer:

x = 119°

y = 55°

Step-by-step explanation:

y + 125 = 180         {linear pair}

       y   = 180 - 125

       y = 55°

Sum of all the angles of quadrilateral = 360

x + 55 + 72 +114 = 360

               x + 241 = 360

                         x = 360 - 241

                        x = 119°

Answer:

64

Step-by-step explanation:

Hope this helps! :)

Answer:

64 is correct hope it helped have a good day mate

Answer:

5/x subscript 2

Step-by-step explanation:

Answer:

so just successive powers of 2

Step-by-step explanation:

1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.

The given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

Given that,

To justify the given sequences 1,3,7,15.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
Given a sequence, 1,3,7,15
where first term      A0 = 1
         second term  A1 = 1 + 2 = 3
          third term      A2 = 3 + 4 = 7
From above sequence we can conclude the general term for the sequence as, S = A(n-1) + (A(n-1) + 1)

Thus, the given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.

Learn more about arithmetic progression here:
https://brainly.com/question/20334860
#SPJ2

Answer: 2x+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

7-x=-2

-x=-2-7

-x=-9

x=9

Answer:

B

Step-by-step explanation:

The value of the polynomial for x = 3 is the value of P(3)

P(3) = 2(3)³ - 7(3)² + 7(3) - 12 = 54 - 63 + 21 - 12 = 0 → B

Answer:

-33 and -21

Step-by-step explanation:

-36, -33, -30, -27, -24, -21, -18

-36

-36 + 3 = -33

-33 + 3 = -30

-30 + 3 = -27

-27 + 3 = -24

-24 + 3 = -21

-21 + 3 = -18

Answer:

It's log 420

Step-by-step explanation:

Answer:

I belive it would be A

Step-by-step explanation:

The equivalent of 64/4 is 16

The expression is given as:

64/4

Evaluate the quotient of 64 and 4 i.e. divide 64 by 4

64/4 = 16

Hence, the equivalent of 64/4 is 16

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

6710.46x

Step-by-step explanation:

The solution is : the value of x is x = 9.75.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

You need to convert from mixed number to decimal number. To do this you can follow the steps shown below:

Step 1: You must divide the numerator of the fraction by the denominator of the fraction.

Step 2: Now you must add the quotient obtained to the Whole number part.

So, you get:

3 + 1/4

=3 + 0.25

= 3.25

Then, the scale image that maps "Figure a" onto "Figure b" is:

1: 3.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure a" by .

Therefore, you get that the result is:

x = 3 * 3.25

or, x = 9.75

Hence, The solution is : the value of x is x = 9.75.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ3

Answer:

3

1

2

Step-by-step explanation:

Math simplification

Answer:

A=3, B=1, C=2

Step-by-step explanation:

9

Step-by-step explanation:

I believe its 9 because he borrowed $15 on Monday and then he did $12 more on Tuesday and thats already $27 that he owes his friend but then Franco pays his friend back $18 and he will just owe him $9 left

Answer:

Part a: 2.5

Part b: The rate the oil fills the tank

Part c: The amount of liquid in the tank to begin with.

Hope this helps. :)

As per the graph that shows the volume of oil in tank T sec.

The given graph describes the volume of the oil in L and shows the value in t seconds. The gradient of the graph is about 2.5 and it shows us the amount of liquid in the tank. The value of the graph that intersects at the L 2 is the amount of liquid found in the tank.

Find out more information about the graph.

brainly.com/question/14323743

Answer:

Step-by-step explanation:

Let x equal number of weeks and y equal money in the bank.

Nancy, y=425+25x

Sam, y=705-15x

The system of equations:

Nancy:   [tex]y=\$425+\$25x[/tex]

Sam :   [tex]y=\$705-\$15x[/tex]

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

To find:

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

[tex]y=\$425+\$25\times x\\y=\$425+\$25x[/tex]

The equation for Nancy:

[tex]y=\$425+\$25x[/tex]

2)

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

[tex]y=\$705-\$15\times x\\y=\$705-\$15x[/tex]

The equation for Sam:

[tex]y=\$705-\$15x[/tex]

Learn more about system of equations here:

brainly.com/question/9351049?referrer=searchResults

brainly.com/question/90105?referrer=searchResults

Answer:a

Step-by-step explanation:

a because I just took the test

Answer:

your answer is d. $21.85

Answer:

-0.8375

Step-by-step explanation:

Answer:

6 x 4 = 24 x $2 = $48

Step-by-step explanation:

The total cost of the rectangular frame is C = $240.

A rectangle is a two-dimensional shape in which the opposite sides are parallel and equal to each other and all four angles are right angles.

Given that, a painting measures 4 by 6 inches, the framing material costs $2 per inch,

We need to find the total cost of framing material

The perimeter is given by:

P = 2x(L + W)

In this case, we know that the frame is 6 inches by 14 inches, then the perimeter will be:

P = 2x(6in + 14in)

P = 2x20in = 40in

Since, the framing material costs $6 per inch, then the total cost of the frame will be:

cost = 40x$6 = $240

Learn more about rectangles:

brainly.com/question/17297081

#SPJ3

Answer:

Third option is the correct answer

Step-by-step explanation:

Point T is between the point R and point S.

Answer:Step-by-step explanation:

Answer:

si cambia su volumen cada vez se pone mas fina la piramide

Answer:

(0,3) x=0 and y=3

Answer:

y=1.5x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1.5(x-2)

y=1.5x-3+5

y=1.5x+2

Answer:

for every x the y moves -4

Step-by-step explanation:

Answer:

Lots of "ifs" here.

A=bh/2 is the formula for the area of a triangle.

A=bh is the formula for the area of a rectangle or a parallelogram.

If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2

If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2

Step-by-step explanation:

Answer:

6 5/12

Step by step: Subtraction 15 5/6 - 3 3/4 = 12 1/2 - 5 2/3 = 6 5/12

Answer:

A & E are correct. I have the same question as you.

Step-by-step explanation:

Just trust me its a and e