is ✓4 + 5 rational or irrational

Answer:

Let the number be x.

(x-9)/3= (x/7)+1

(x-9)/3= (x+7)/7

Cross multiplying

7x-63= 3x+21

4x= 84

x= 42

Hope this will help :-)

Step-by-step explanation:

An odd function is where g(x) = -g(-x).

Therefore the answer is g(x) = 4x, as it passes through the origin and g(x) is positive when x is positive, and g(x) is negative when x is negative.

The odd function will be g(x) = 4x. Then the correct option is D.

A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

The equation should be stored in an odd function:

f(-x) = -f(x)

Let's check all the options.

A. The function is g(x) = x².

Substitute x = -x, then we have

g(x) = (-x)²

g(x) = x²

This is an even function.

B. The function is g(x) = 5x – 1.

Substitute x = -x, then we have

g(x) = 5(–x) – 1

g(x) = – (5x + 1)

This is a neither even nor odd.

C. The function is g(x) = 3.

Substitute x = -x, then we have

g(x) = 3

This is an even function.

D. The function is g(x) = x.

Substitute x = -x, then we have

g(x) = -x

g(x) = x

This is an odd function.

Then the correct option is D.

More about the odd function link is given below.

https://brainly.com/question/14264818

#SPJ2

Answer:

32 dollars for 8 pounds

Step-by-step explanation:

1. 2.5 times 3 = 7.5

2. 10 times 3 = 30

3. 2.5 divided by 5 = .5

4. 10 divided by 5 = 2

5. 7.5 + .5 equals 8

6. 30 + 2 = 32.

hope this helps you:)

Answer:

$32.00

Step-by-step explanation:

i took 10 divided by 2 and got its $4 a pound then take 8 times 4 and got 32

Answer:

what do u look like

Step-by-step explanation:

Answer:

K (-5, 2); J (-2, 3); I (-1, 1); L (-5, -3)

Step-by-step explanation:

Translating the shape 6 units to the left means that every point/vertex will be moved 6 units to the left of where it is originally drawn.

Point K is at (1, 2). Since we are only moving it left (on the x-axis), the y value will not change. To move K left 6, we have to subtract 6 from its current x-value, 1. We get -5 for the new x-value. Because the y value didn't change, the new location of K is (-5, 2).

Point J is at (4, 3). Subtracting 6 from 4 (the x value) gives us the new x value of -2. Again, the y value does not change and so our new location for J is (-2, 3).

Point I is at (5, 1). If we subtract 6 from 5, we get -1. This is our new x value for I. The new point is (-1, 1). (Once again, the y value does not change).

Point L is at (1, -3). By subtracting 6 from the original x value, 1, we get our new x value: -5. The new point for L is (-5, -3).

Answer:

7/15

Step-by-step explanation:

For me, it is easier to take the 3/5 and put it in decimal form which is .6 and add the 5 to it, making 5.6, and then in a calculator put in 5.6 divided by 12 and you should get a big decimal that's pretty big but if you have a graphing calculator and convert that to a fraction and you should get 7/15, This is a pretty lazy way of me doing it but that's how I did it.

Answer:

The correct options are;

A. Construct a perpendicular bisector of the diameter AB

D. Use the compass to draw a circle centered at point C

E. Use the compass to draw two arcs of the same radius centered at point C

F. Use the straightedge to draw diameter AB of the circle

G. Use the straightedge to draw lines connecting the endpoints of the two diameters

Step-by-step explanation:

To draw an inscribed square of a circle, the circle is first constructed. The diameter of the circle is drawn with a straight edge to find the first two vertices of the intended inscribed square. The perpendicular bisector of the diameter is then drawn intersecting the circumference to provide the other two vertices of the square.

The straightedge is then used to draw lines that connect the endpoints of the two diameters to form the inscribed square of the circle.

The question is incomplete:

Irene's grandfather arrived in Sydney from Athens at 10 pm on Friday after a 25-hour trip. The flight began at 12 noon on Thursday, Athens time. What is the time difference between Athens and Sydney?

A. Athens time is 9 hours behind  Sydney time.

B. Athens time is 9 hours ahead of  Sydney time.

C. Athens time is 15 hours behind  Sydney time.

D. Athens time is 15 hours ahead of  Sydney time.

Answer:

A. Athens time is 9 hours behind  Sydney time.

Step-by-step explanation:

The statement indicates that the flight began at 12 noon on Thursday, Athens time and that it lasted 25 hours. So, you can calculate the Athens time when he arrived after 25 hours which would be 1 pm on Friday. Also, the statement says that Irene's grandfather arrived in Sydney at 10 pm on Friday and now we know that at that moment it was 1 pm on Friday, Athens time. From these, you can calculate the difference between 1 pm and 10 pm that would be 9 hours. Because of this, the answer is that the time difference between Athens and Sydney is that Athens time is 9 hours behind  Sydney time.

Answer:

$68.99

Step-by-step explanation:

This is called percentage decrease:

(100 - 72)% = 28%

246.40 × 28/100

= $68.99

Answer: A. 11 . 38 + 4 . 03

                B. 10 + 5 . 41

                 D. 9 . 2 + 6 . 21

Step-by-step explanation:

Step 1

Compute the sum of the given options

a)  11 . 38 + 4 . 03 = 15.41

b) 10 + 5 . 41= 15.41

c) 12 . 38 + 2 . 93= 15.31

d) 9 . 2 + 6 . 21 =15.41

e) 7 . 54 + 6 . 87=14.41

Step 2

Eliminate the expressions that do not give a sum of 15.41 , we have

a)  11 . 38 + 4 . 03 = 15.41

b) 10 + 5 . 41= 15.41

d) 9 . 2 + 6 . 21 =15.41

Therefore, the expressions with sum of 15.41  are A, B  and D

Step-by-step explanation:

Write 0.8787 as

0.8787/1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.8787 × 10000

1 × 10000

=

8787/10000

Reducing the fraction gives

8787/10000

Answer:

8 14/15

Step-by-step explanation:

Step 1:

2 1/3 + 6 3/5

Step 2:

2 5/15 + 6 9/15

Answer:

8 14/15

Hope This Helps :)

Answer:8  14/15

Step-by-step explanation:

convert to lcd, 2  5/15 6 9/15

add them and you get that

Answer:

The expression that describes the width of Kevin’s yard is (3g + 12) feet

Step-by-step explanation:

This is an expression problem.

From the question, we are made to know that the width of the yard is 3 times the width of the garage increased by 12 feet.

Now, we are told that the width of the garage is g feet and we want to find the width of the yard.

The width of the yard will be g feet * 3 + 12

Mathematically that would be 3g + 12 feet

Answer:

The answer is A

Step-by-step explanation:

All you must do is find the correct values in the graph.

The graph which is generated by the table of values x -5,-3,-1,4 and y=2,4,1,0 is on coordinate plane points are at (-5,2) ,(-3,4) ,(-1,1) ,(4,0).

A function is a relationship between two or more variables having each value of x corresponding to y values. Values of x are known as domain and values of y are known as codomain.

We have been given the following table as under:  

  x                           y

 -5                          -3

 -3                           4

 -1                           1

   4                           0

We have to plot the points -5 ,-3,-1,4 on x axis and corresponding-3,4,1,0 on y-axis.

Hence the graph of given table of values is that on coordinate plane points are at (-5,2) (-3,4)(-1,1)(4,0).

Learn more about function at https://brainly.com/question/10439235

#SPJ2

Answer:

It is fair.

See the chart?

On all coins, there is a 50/50 chance it will be wrong or right.

There are 6 sides.

Half of them are H, and the other half T.

So, there are 3 heads and 3 tails.

3 to 3 is equal, so it is fair.

Hope this helped :)!

Answer:

No, the game is not fair because Julie does not have equal probabilities of winning or losing.

Step-by-step explanation:

Answer:

  D, E

Step-by-step explanation:

The applicable formula is ...

  s = rθ

so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...

  D) The length of the arc defined by the angle is 1.5 times longer than the radius.

  E) The ratio of arc length to radius is 1.5.

Answer:

R=a/pt-1/t

Step-by-step explanation:

r= a/pt-1/t

Step-by-step explanation:

Answer:

1.00304 * 10^10

Step-by-step explanation:

The first one dark blue I think

Answer:

Every integer is a rational number, numbers like 1/2,and -3/7 are also rational,  It is an Rational number

Step-by-step explanation:

Answer:

Probability of getting a green marble=5/15=3/5

Probability of getting a black marble=5/15=3/5

Answer:

26 posts

Step-by-step explanation:

find perimeter:

42+42+36+36= 156

divide by 6

156/6=26

Answer:

11.18%

Step-by-step explanation:

Total = 340

Completed = 302

Not completed = 340 - 302 = 38

Not completed% = 38/340*100% =  11.18%

Answer:

2

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2([tex]\frac{x+1}{a}[/tex]) - 1 = [tex]\frac{(2x-1)+1}{a}[/tex]

If you multiply both sides by a, you get   2a([tex]\frac{x+1}{a}[/tex]) - a = (2x-1)+1

Simplify it                                                   2a([tex]\frac{x+1}{a}[/tex]) - a = 2x

Add a to both sides                                    2a([tex]\frac{x+1}{a}[/tex])  = 2x +a

The two as on the left cancel out                   2(x+1)=2x+a

Distribute the 2                                               2x+2=2x+a

Then subtract 2x from both sides                        2 = a

Therefore, a = 2

Hope this helps!

Answer:2

Step-by-step explanation:

Answer:

Length of rug = 14 ft

Width of rug = 27 ft

Step-by-step explanation:

Given:

Length of rug = 20 ft

Width of rug = 33 ft

Area she afford = 378 ft²

Find:

New sides

Computation:

Assume;

Uniform strip = x

So,

Length of rug = 20 - x ft

Width of rug = 33 - x ft

Ares = l × b

[20-x][33-x] = 378

660 - 20x - 33x + x² = 378

x² - 53x + 282

x² - 47x - 6x + 282

x(x-47) -6(x-47)

So,

x = 6 and x = 47

X = 47 not be taken, So x=6

Length of rug = 20 - 6 ft

Width of rug = 33 - 6 ft

Length of rug = 14 ft

Width of rug = 27 ft

Answer:

9

Step-by-step explanation:

mx - y (m = 2, x = 7, y = 5)

(2*7) - 5

= 14 - 5

= 9

Answer:

the square root is 15=5

The question is incomplete. Here is the complete question.

Nite Time Inn has a toll-free telephone number so that customers can call at any time to make a reservation. A typical call takes about 4 minutes to complete, and the time required follows an exponential distribution. find the probability that a call takes

a) 3 minutes or less

b) 4 minutes of less

c) 5 minutes of less

d) Longer than 5 minutes

e) Longer than 7 minutes

Answer: a) P(X<3) = 0.882

              b) P(X<4) = 0.908

              c) P(X<5) = 0.928

              d) P(X>5) = 0.286

              e) P(X>7) = 0.174

Step-by-step explanation: Exponential distribution is related with teh amount of time until some specific event happens.

If X is a continuous random variable, probability is calculated as:

[tex]P(X<x) = 1-me^{-mx}[/tex]

in which:

m is decay parameter, given by: [tex]m=\frac{1}{mean}[/tex]

For the Nite Time Inn calls:

[tex]m=\frac{1}{4}[/tex]

m = 0.25

(a) P(X<3)

[tex]P(X<3) = 1-0.25e^{-0.25.3}[/tex]

[tex]P(X<3) = 1-0.25e^{-0.75}[/tex]

[tex]P(X<3) = 1-0.25*0.472[/tex]

P(X < 3) = 0.882

The probability the call takes less than 3 minutes is 0.882.

(b) P(X<4)

[tex]P(X<4) = 1-0.25e^{-0.25.4}[/tex]

[tex]P(X<4) = 1-0.25e^{-1}[/tex]

P(X < 4) = 0.908

The probability the call takes less tahn 4 minutes is 0.908.

(c) P(X<5)

[tex]P(X<5) = 1-0.25e^{-0.25.5}[/tex]

[tex]P(X<5) = 1-0.25e^{-1.25}[/tex]

P(X < 5) = 0.928

The probability of calls taking less than 5 minutes is 0.928.

(d) P(X>5)

Knowing that the sum of probabilities of less than and more than has to equal 1:

P(X<x) + P(X>x) = 1

P(X>x) = 1 - P(PX<x)

[tex]P(X>x) = 1-(1-me^{-m*x})[/tex]

[tex]P(X>x)=me^{-mx}[/tex]

For P(X>5):

[tex]P(X>5) = 0.25e^{-1.25}[/tex]

P(X > 5) = 0.286

The probability of calls taking more than 5 minutes is 0.286.

(e) P(X>7)

[tex]P(X>7)=0.25e^{-0.25.7}[/tex]

[tex]P(X>7)=0.25e^{-1.75}[/tex]

P(X > 7) = 0.174

The probability of calls taking more than 7 minutes is 0.174.