The function g has a domain of {-2,0,4,13} and a range of {5,9,15}. Could g be represent by the following relation: {(-2,5), (0,9), (4,15), (13,5)}?

Answers

Answer 1

Step-by-step explanation:

yes.

the domain defines the valid x values, the range defines the valid y values.

the given relation assigns every x value exactly one y value.

so, it is a function and could therefore represent g.


Related Questions

A new car is purchased for 27,500 dollars. The value of the car depreciates at a rate of
9% per year. Which equation represents the value of the car after 2 years?

Answers

Answer:

A=27,500(1-.09)² or A=27,500(0.91)²

A GIC pays 6% per annum. How long would it take $3000
to grow to $6000? (3 marks)

Answers

Answer:

180 weeks you have to convert the percentage to a decimal and multiple it to 3000

Bags A and B contain some counters.
The number of counters on each bag is the same.
Work out the value of y

Answers

Answer: y=3

Step-by-step explanation:

It is a linear equation6y+1=4y+76y-4y=7-12y=6y=6/2y=3
6y+1=4y+7
6y-4y=7-1
2y=6
y=3

How many different vacation combinations do you have to choose from?​

Answers

Answer:

12 different vacation caombinations

Step-by-step explanation:

has 3 options of Theme Park and 4 options of length of trip

[tex]C=(3)(4)=12[/tex]

Hope this helps

Please help me anyone?

Answers

Answer:

1/26

Step-by-step explanation:

There are 52 cards....four are 9's      4/52

six possible rolls    three are even     3/6

4/52 * 3/6 =   1/26

9) 78% of what is 159 tons?

Answers

Answer:

78:159*100 =

(78*100):159 =

7800:159 = 49.06

Many weather conditions need to be met before a space shuttle can launch. The temperature must be greater than 35°F and less than 100°F, and the wind speed cannot exceed 30 knots. A system of inequalities can be used to show these three conditions. Write a system for the above constraints.​

Answers

Answer:

Launch may not occur if the temperature is 35° F or colder.

would be your answer.

Step-by-step explanation:

The temperature cannot exceed 99° F for 30 consecutive minutes. Peak wind speed is 30 knots. When the wind direction is between 100 degrees and 260 degrees, the maximum wind speed may be as low as 24 knots.

-121-1,649°C.

ASAP worth 50 points

Answers

Answer:

32.5 square feet

Step-by-step explanation:

Area of a trapezoid

1/2 x (a + b) x ha and b = length of parallel sidesh = height

Solving

Here : a = 5, b = 8, and h = 5Area = 1/2 x (5 + 8) x 5Area = 1/2 x 13 x 5Area = 65/2Area = 32.5 square feet

Answer:

32.5 square feet

Step-by-step explanation:

here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,

formula for the area of a triangle is 0.5 × base × height

therefore,

the area of the triangle is 7.5

the area of a square is equal to the length of the side squared.

5^2 = 25

the sum of 25 + 7.5 = 32.5

final answer is 32.5 square feet

if you need any further guidance make sure to ask:)

Leroy's total job benefits were $50,150 last year. his total job expenses for traveling and for professional development for the year were $3,500. which of the following represents his total employment compensation? a. $46,650 b. $47,650 c. $50,150 d. $53,650

Answers

An expression has numbers, variables, and mathematical operations. The representation of Leroy's total employment compensation is $46,650.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that Leroy's total job benefits were $50,150. while his total job expenses for traveling and for professional development for the year were $3,500. As the total employment compensation is the amount that is the difference between job benefits and job expenses. Therefore,

[tex]\rm Total\ employment\ compensation= Job\ benefits + Job\ expenses[/tex]

                                                   [tex]= \$50,150 - \$3,500\\\\= \$46,650[/tex]

Hence, the representation of Leroy's total employment compensation is $46,650.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

the representation of Leroy's total employment compensation is $46,650.

Step-by-step explanation:

Can someone please help me really quick I need help

Answers

Check the picture below.

Please show work y’all thank you!

Answers

I can’t see the picture

What is the answer to −6(x +2) − 2

Answers

Answer: hii <3

The Answer Is = −6x−14

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew :)

Answer:

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

Step-by-step explanation:

In order to solve this, you need to expand by the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

[tex]\Longrightarrow: \sf{A(B-C)=AB-AC}[/tex]

-6(x+2)-2

Expand.

-6*x=-6x

-6*2=-12

Then, rewrite the expression down.

-6x-12

-6x-12-2

Subtract the numbers from left to right.

-12-2=-14

[tex]\Longrightarrow: \boxed{\sf{-6x-14}}[/tex]

Therefore, the correct answer is -6x-14.

I hope this helps. Let me know if you have any questions.

Good luck with your assignment!

A certain number is subtracted from 20.the result multiplied by 3 is equal to 45. What is the number?

Answers

I believe the answer is 35.



Explanation:


If you divide 45 by 3, you get 15. 20 + 15 = 35, hence the answer.

Identify the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis.

Answers:
T (−1, −3), U (−3, 17), V (12, 8)
T (1, −3), U (3, 17), V (−12, 8)
T (3, −1), U (−17, −3), V (−8, 12)
T (1, 3), U (3, −17), V (−12, −8)

Answers

Answer:Reflecting over the y-axis = (x,y) → (-x,y)

So T will be (1,3) , U (3,-17) and V (-12. -8)

So D

Step-by-step explanation:

Answer:

T (1, 3), U (3, −17), V (−12, −8)

Step-by-step explanation:

To find the image as it is reflected from the preimage across the y-axis, apply the transformation rule, (x,y)→(−x,y), to each of the preimage points.

T(−1,3)→T'(1,3)

U(−3,−17)→U'(3,−17)

V(12,−8)→V'(−12,−8)

Draw lines between the found vertices to construct the reflected figure.

Therefore, the reflection of the figure with vertices T(−1,3), U(−3,−17), and V(12,−8) across the y-axis is the figure with vertices T'(1,3), U'(3,−17), and V'(−12,−8).

is 1/2 x + 6 > 11 equal to x=-3

Answers

Answer:

Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.

help on this assignment i get confused on this

Answers

Answer:

See below:

Step-by-step explanation:

Y intercept    is 'short' for y-AXIS intercept...

 the line intercepts the y axis at d = 7 blocks

the slope =   change in y  / change in x

                          - 5           /      1           = - 5   (using the points on the graph)

A 10-speed bike changes gears by moving the chain to different size sprockets on the front and back. The speed at which the bike goes varies directly with the number of revolutions per minute (rpm) you turn the pedals, directly with the number of teeth on the front sprocket, and inversely with the number of teeth on the back sprocket. A standard bike with 70 cm diameter wheels will go about 7.4 kilometers per hour if you pedal 40 rpm in the lowest gear (39-tooth front sprocket, 28-tooth back one). Write an equation expressing km/h in terms of the three independent variables.

Answers

The variation is a joint variation, and the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

How to determine the equation in terms of the variables?

The direct and the inverse variations from the question can be represented using:

[tex]s = k\frac{rf}{b}[/tex]

Where:

s represents the speed; s = 10k represents the constant of variationr represents the number of revolutions per minutef represents the number of front sprocket teethb represents the number of back sprocket teeth

From the question, we have:

r = 40; f = 39; b = 28

So, we have:

[tex]s = k\frac{rf}{b}[/tex]

[tex]10 = k\frac{40 * 39}{28}[/tex]

Make k the subject

[tex]k = \frac{10 * 28}{40 * 39}[/tex]

Evaluate

k = 0.18

Substitute k = 0.18 in [tex]s = k\frac{rf}{b}[/tex]

[tex]s = 0.18\frac{rf}{b}[/tex]

Hence, the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

Read more about variation at:

https://brainly.com/question/6974617

#SPJ1

A dental hygienist might pay about $20,000 for education beyond high school and expect to earn about $70,000 per year. A veterinarian might pay about $153,000 for education beyond high school and expect to earn about $84,000 per year. Compare the total earnings minus the costs of education for the careers in 10 years. Which career would you choose if salary was the most important factor? Explain

Answers

Answer:

$150,000.

Step-by-step explanation:

Twenty less than thrice a number is 223

Answers

[tex]~~~~~~3x-20=223\\\\\implies 3x = 223+20\\\\\implies 3x = 243\\\\\implies x = \dfrac{243}{3}\\\\\implies x =81\\\\\text{The number is 81.}[/tex]

Write each fraction as a percentage

Answers

Answer:

answer below

Step-by-step explanation:

3/5=60%

1/50=2%

9/10=90%

9/5=180%

18/60=30%

Which solution can be simplified to determine when the object will hit the ground? t = t = t = t =

Answers

The solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60

What is projectile motion?

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory

Projectile motion

We are told that the projectile motion of an object can be modeled using;

h(t) = gt² + v0*t + h0

Where;

g is the acceleration due to gravity

t is the time since launch

h(t) is the height of the projectile after time t

v0 is the initial velocity

h0 is the initial height.

Now, we are given;

The acceleration due to gravity; g = –9.8 m/s²

Initial velocity; v0 = 20 m/s

Initial height; h0 = 60 m

Hence solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60 h(t) = -9.8t² + 20t + 60

Read more on projectile aat; brainly.com/question/14899130

Answer:

it's c on edge :] have a nice day

Find the length of the third side. If necessary, round to the nearest tenth.
24
ко

Answers

Answer: 26

Step-by-step explanation: The third length is the hypotenuse or the longest side

What is the value of z?
61°
310
to
25°
Lo
O

N

Answers

Answer:

C 31

Step-by-step explanation:

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

At what price should Nepali bags be sold in order to make a profit of 140% by selling 2000 bags in the USA which was purchased in Nepal for Rs. 800 each and after paying 15% export tax ? [Given that $1 = Rs. 105.00.]​

Answers

The price at which the Nepali bags should be sold in order to make a profit of 140% is $21.02.

What is the price the bags should be sold ?

Profit is total revenue less total cost.

The first step to convert Rs. 800 to US dollars: 800 / 105 = $7.62

The second step is to determine the total cost including taxes: 1.15 x 7.62  = $8.76

Selling price = (1 + 1.40) x 8.76 = $21.02

To learn more about percentages, please check: https://brainly.com/question/25764815

What is the gcf of 36 and 90

Answers

Just pick a number, divide and see if you can factor even more.
Since both are even numbers, choose an even number that both divide by.
Like 6

36/6 = 6
90/6 = 15

Can you factor 6 and 15 even more? Yes, by 3
6/3 = 2
15/3 = 5

Can you factor 2 and 5? No, that’s it.

So GCF is 6 * 3 = 18

Lets check:
36/18 = 2
90/18 = 5

Can you factor 2 and 5 even further? No, that’s it

So GCF is indeed 18

Pls help! This is due soon!

Answers

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles

so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of

triangle 2

so the perimeter of triangle 2 is 20÷2 = 10 cm

You want to take a trip to the beach, which costs $450. You
have $900 in your bank account but must withdraw $60
each week to pay for groceries. What is the maximum
number of weeks you can withdraw money and still have
enough to take your trip to the beach?


I need the inequality, inequality answer, final answer

Answers

Answer:

900 - 60n ≥ 450

n ≤ 7.5

Answer: 7 weeks

Step-by-step explanation:

Let n = numberof weeks.

In n weeks, you withdraw 60n from the account.

After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.

900 - 60n ≥ 450

-60n ≥ -450

n ≤ 7.5

Answer: 7 weeks

Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?

HELPPPPPPPPPP

The value of the expression inside the parentheses must be equal to

Answers

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

What is the standard deviation of the data? 0.5 1.5 2.0 2.5

Answers

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]

Solving:

= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]

= [tex]\frac{2.1875}{4}[/tex]

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

[tex]\sqrt{0.546875}[/tex]

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

Answer:

0.5

Step-by-step explanation
Because it is a standar deviation

Michael sold property for much more than he originally paid. The difference
between the price he paid for the property and the price for which he sold it is:
O simple interest.
O capital gains.
O capital goods.
O compound interest.

Answers

Answer:

Capital Gains

Step-by-step explanation:

selling for more than you bought is a gain

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