Elijah is keeping track of his baby sister’s shoe size at different ages throughout her childhood. Which statements about the relationship between Elijah’s sister’s shoe size and her age are true? Select all that apply.
A. The relationship is a continuous function.
B. The relationship is a discrete function.
C. The domain and range are restricted to positive numbers.
D. The domain and range are restricted to positive integers.

Answers

Answer 1

Answer:

B and D

Step-by-step explanation:

The function is the relation between the sister's shoe size and her age, being age the independent variable x, and the shoe size the dependent variable y.

If we think this through, we'll find out that age is a discrete variable, and shoe size too. Discrete variable refers to those variable that only admit whole numbers, they don't admit decimal numbers. So, in this case, both variables aren't represented by decimal values. So, the relationship is discrete function, punctual data.

Similarly, the function must be restricted to positive integers, because, as we already said, the variable only admit discrete values and we have to add that only should admit positive discrete values, because age cannot be negative, it wouldn't make sense, also shoe size cannot be negative. In this context, negative numbers don't make any sense.

Answer 2

Answer:

b and d

Step-by-step explanation:


Related Questions

Travis Jamison earns $42,500 annually as a new staff attorney.
He is single. The state tax rate in his state is 3.5% of taxable
income. What amount is withheld from his monthly pay for
state income tax?

Answers

Answer:

The answer would be 8

Answer:

The amount withheld is 8

What would the graph of x > 5 look like?

Answers

Answer:

It  will look like this

Rewrite the following expression performing the subtraction.
(5c² - 3c + 9) - (2c²+ 8c - 3)
a) What did you need to distribute to the second polynomial to rewrite?

Perform subtraction. Then, answer:

b) How many terms? in the simplified expression

c) What is the leading coefficient of the simplified expression?

d) What is the degree of the simplified expression?

Answers

Answer:

a) [tex]3c^2-11c+12[/tex]

b) 3 terms in simplified expression

c) 3 is leading coefficient

d) 2 is the degree of simplified expression

Step-by-step explanation:

We need to perform subtraction of [tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)[/tex]

a) What did you need to distribute to the second polynomial to rewrite?

We need to multiply - sign with the terms inside the bracket.

Perform subtraction. Then, answer:

[tex](5c^2 - 3c + 9) - (2c^2+ 8c - 3)\\=5c^2 - 3c + 9 - 2c^2- 8c +3\\Combining \ like \ terms\\=5c^2-2c^2-3c-8c+9+3\\=3c^2-11c+12[/tex]

b) How many terms in the simplified expression?

There are 3 terms in the simplified solution [tex]3c^2-11c+12[/tex]

c) What is the leading coefficient of the simplified expression?

The leading coefficient is the coefficient with highest degree. The highest degree is 2 so, leading coefficient is 3

d) What is the degree of the simplified expression?

The highest degree is considered as the degree of simplified expression. In our case [tex]3c^2-11c+12[/tex] the highest degree is 2

What is the slope of the line in the graph?

Answers

Answer:

1/2

Step-by-step explanation:

went up one across two. rise over run y over x

Answer:

1/2

Step-by-step explanation:

Describe the products made by the process of cellular respiration.

Answers

Step-by-step explanation:

The product is carbon dioxide and water

(05.01)
The graph of a system of equations with the same slope and the same y-intercepts will
have no solutions. (1 point)
O Always
Sometimes
O Never
Help ASAP

Answers

Answer:

Always

Step-by-step explanation:

Answer:

never.

Step-by-step explanation:

Write the word sentence as an equation. Then solve. The sum of a number y and −3 is −8.
need asap

Answers

Answer:

y + (-3) = -8

Step-by-step explanation:

i just know

pls mark branliest

consider the line y=9x-8
find the equation of the line that is parallel to this line and passes through the point (-8,3)

Answers

Answer:

y=9x+75

Step-by-step explanation:

since we know that the slope must be the same for two lines to be proportional, we are gonna start there.

so our equation is: y= 9x + b

we need to find b to complete our equation, so substitute in the points we were given.

3 = 9(-8) + b

so now,

3 = -72 + b

now we have to isolate b to find out what it is,

3  =  -72 + b

+72   +72

so now: 75= b

Put that back into the starting equation: y = 9x + 75

10x=6x-24

help!!!! me pleasee!!​

Answers

Answer:

x = -6

Step-by-step explanation:

10x = 6x - 24

Subtract 6x from both sides.

4x = -24

Divide both sides by 4.

x = -6

The perimeter of a rectangle is the sum of all four sides. Which expressions will find the perimeter of a rectangle with a length of 4 and a width of a?

4 + a + 4 + a

4 + 2a

8 + 2a

8 + a

Answers

Answer:

8+2a

Step-by-step explanation:

Answer:

8+2a, 4+a+4+a

Step-by-step explanation:

PLEASE HELP AS SOON AS POSSIBLE (THANK YOU VERY MUCH IF YOU DO)

Answers

Answer:In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Step-by-step explanation:

2(x + 0.7) = 6(x – 0.8)​ well what i got for this is 2x + 1.4 = 6x - 4.8 -2 -2 1.4 = 4x - 4.8 +4.8 +4.8 so i do i finish this equation i need the answer how do i finish this Equation?

Answers

Answer:

1.55

Step-by-step explanation:

[tex]2(x + 0.7) = 6(x – 0.8)​[/tex]

Using the distributive property of addition over multiplication we get

[tex]2x+1.4=6x-4.8[/tex]

Take the like terms to one side and change their signs accordingly

[tex]1.4+4.8=6x-2x[/tex]

[tex]\Rightarrow 6.2=4x[/tex]

[tex]\Rightarrow x=\dfrac{6.2}{4}[/tex]

[tex]\Rightarrow x=1.55[/tex]

The value of [tex]x[/tex] is 1.55.

In order to make sure this value is correct we can substitute the value of x in the equation

[tex]2(1.55+0.7)=6(1.55-0.8)\\\Rightarrow 2\times 2.25=6\times 0.75\\\Rightarrow 4.5=4.5[/tex]

So, both sides are equal hence the value of [tex]x [/tex]is 1.55.

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.

A. 5.8 m
B. 5.7 m
C. 5.2 m
D. 5.3 m​

Answers

Answer: D.  5.3 m

Step-by-step explanation:

The ladder leaning against the wall causes it to forma  right angle.  

The right angle has two sides , which is  the two legs, and the hypotenuse.

Using the formula a^2 + b^2 = c^2 , a  and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m  and the ladder which is 5.5 m will be the hypotenuse.  

Input the values for a and c to sole for b using the formula.

1.5^2 + b^2 = 5.5^2

2.25 + b^2 = 30.25

-2.25                 -2.25

   b^2 = 28

   b = [tex]\sqrt{28}[/tex]

  b = 5.2915   rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

According to Pythagoras theorem

In a right triangle

[tex]\rm H^2 = P^2 + B^2[/tex]

[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]

In the given situation the the ladder forms the right triangle with the wall

Length of the ladder = 5.5 m

Length of the base of ladder from the wall = 1.5 m

Let K be the height of top of ladder above the ground  that is resting on the wall.

Hence  from equation (1) we can write

[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex]  m

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

For more information please refer to the link given below

https://brainly.com/question/16426393

Express Jenny's age in terms of a if jenny is three years less than half of Anne's age
Express Fraz's age in terms of a if Fraz is twice the sum of Anne's age and 7

Answers

1. a = 1/2x - 3
2. a = 2x + 7

Sarah and her friends picked 3 3/4 pints of blueberries. After they ate some of the blueberries, only 2 1/3 pints remained.

How many pints of blueberries did Sarah and her friends eat?

Enter your answer, as a mixed number in simplest form, in the box.

Answers

Answer:

1 5/12

Step-by-step explanation:

subtract 3 3/4 - 2 1/3 and you get 1 5/12

Answer:

17/12

Step-by-step explanation:

I turned the two fractions into improper fractions and made them have the same denominators. Then I subtracted.

А A
B
D
If m_ABD = 64°, and mZCBD = 30°,
then m ABC = [?]°

Answers

Answer:

34 degrees

Step-by-step explanation:

If ABD = 64, and CBD is 30, we can use PWP( Part Whole Postulate)

Step 1.CBD + ABC = ABD

Step 2. Substitute

30 + ABC = 64

Step 3. Isolate ABC

34 = ABC

ABC is 34 degrees

9514 1404 393

Answer:

  34°

Step-by-step explanation:

It should be fairly intuitive that the two smaller angles add to give the value of the larger one. (Even if it's not, the angle sum theorem tells you this is true.)

  ∠ABC + ∠CBD = ∠ABD

  ∠ABC + 30° = 64°

  ∠ABC = 34° . . . . . . . . . subtract 30° from both sides of the equation

the product of two rational numbers is -14/45. If one of the no. is -7/9 find the other no.

pls pls i want this ans. fast​

Answers

Answer:

its 2/5

Step-by-step explanation:

-7/9 x 2/5 = -14/45

Answer:

14.45/7.9=1.82...this is your answer

what is the value of this expression below when w=10 and x=7
10w-7x

Answers

Answer:

=51

Step-by-step explanation:

10w - 7x

10(10) - 7(7)

100 - 49

=51

10*10=100
7*7=49
Then subtract:
100-49=51
So the answer is 51


1. Which of the following lines is parallel to the line y = -3/2x +1 and contains the point (4,2)?

Answers

Answer:

The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.

Step-by-step explanation:

If the second line is parallel, then the gradient will be the same:

y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c

Find what c is (y-intercept) by inputting the given point into the equation (4,2):

2 =  (-[tex]\frac{3}{2}[/tex] x 4) + c

2 = -6 + c

c = 8

what is the slope of (4,9)

Answers

Answer:

hope it helps..

Step-by-step explanation:

Using the slope-intercept form, the slope is 0 .

Simplify this expression using the distributive property

Answers

Answer:

When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.

Step-by-step explanation:

[tex]\huge\boxed{\bold{\mathfrak{Hello\;there!}}}}}[/tex]

The Distributive Property states that

[tex]\dashrightarrow[/tex] [tex]\bold{a(b+c)=ab+ac}[/tex]

[tex]\dashrightarrow[/tex] We multiply a by b and c, and then add the two products.

Example:

[tex]\dashrightarrow[/tex] [tex]\bold{10(x-3)}[/tex]

[tex]\dashrightarrow[/tex] [tex]\bold{10x-30}[/tex]

[tex]\bold{I\;really\;hope\;it\;helps\;you!}[/tex]

[tex]\rm{Have\;a\;great\;day![/tex]

[tex]\boxed{AmiableTeen:)}[/tex]

Can someone please help me with this question?!

Answers

Answer:

-5

Step-by-step explanation:

The slope is given by

m= ( y2-y1)/(x2-x1)

   = ( 0-10)/(2-0)

   = -10/2

  = -5

can you solve 1 2/3 x 1 1/4

Answers

Answer:

25/12 or 2 1/12

Step-by-step explanation:

calculator

solve the equation
pls help

Answers

X= root square of y-49

Find the coordinates for the verticals of each figure after the given transformation need help ASAP

Answers

Answer:

Question 7: The new vertices after translation are:

U'(1-2), V'(2,0), W'(3,0), X(2,-2)

Question 8: The new coordinates after translation are:

W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)

Step-by-step explanation:

Question No 7:

Translation Rule: (x,y) =>

U(-5,1), V(-4,3), W(-3,3), X(-4, 1)

In order to get the new coordinates, we have to add 6 to x-coordinate of vertices  subtract 3 from y-coordinates of all vertices. So,

[tex]U(-5,1) => (x+6,y-3) => (-5+6, 1-3) => U'(1,-2)\\V(-4,3) => (x+6,y-3) => (-4+6, 3-3) => V'(2,0)\\W(-3,3) => (x+6,y-3) => (-3+6, 3-3) => W'(3,0)\\X(-4,1) => (x+6,y-3) => (-4+6, 1-3) => X'(2,-2)[/tex]

Hence, the new vertices after translation are:

U'(1-2), V'(2,0), W'(3,0), X(2,-2)

Question No 8:

W(-3,-2), X(-2,2), Y(2,0), Z(1,-3)

Translation Rule: (x+2,y+2)

In order to get the new coordinates, we have to add 2 to x-coordinate of vertices and add 2 to y-coordinates of all vertices. So,

[tex]W(-3,-2) => (x+2,y+2) => (-3+2, -2+2) => W'(-1,0)\\X(-2,2) => (x+2,y+2) => (-2+2, 2+2) => X'(0,4)\\Y(2,0) => (x+2,y+2) => (2+2, 0+2) => Y'(4,2)\\Z(1,-3) => (x+2,y+2) => (1+2, -3+2) => Z'(3,-1)[/tex]

Hence The new coordinates after translation are:

W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)

It costs $20 to get into Dollywood. Each ride costs an extra $4. f(x) = 20 + 4x is a function representing the total cost of a trip to Dollywood.

Answers

Answer:

f(x)=20+4x = -5

Step-by-step ;

answer is -5 .

If the production rate is 1,325 cookies per hour at a bakery, how many cookies will be produced in an 8 hour shift?

Answers

Answer:

10,600 cookies will be made in 8 hours

Step-by-step explanation:

1325 × 8 = 10,600

What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 18 x 17? 100, 80, 70, 15 10, 80, 70, 56 100, 80, 70, 56 100, 80, 7, 56

Answers

Answer:

100, 70, 80, 56

Explanation:

Look at attached image!

In the 2 x 2 array, the sum of all squares is 18 x 17 = 306.

The number in the 4 sections are 100, 80, 70, and 56.

A 2 x 2 array that shows the problem 18 x 17.

2 x 2 array has four blockers or magic quadrants, the matrix diagram is a simple square divided into four equal quadrants.

18 = 10 +8

17 = 10 +7

18 x 17 = 306

In the 2 x 2 array : 100+80+70+56 = 18 x 17 = 306

Therefore, In the 2 x 2 array, the sum of all squares is 18 x 17 = 306.

For more information:

https://brainly.com/question/19066491

How many ? Help me as soon as possible

Answers

Answer:

3 meters

Step-by-step explanation:

Distance covered in 1 second

[tex] = \frac{7.5}{2.5} \\ \\ = 3 \: m[/tex]

3 meters because 7.5/2.5 = 3

19. The marked price of a certain handbag is $400. After two successive
sales, the selling price of the handbag becomes $225. If the discount
per cent in each sale is x%, find the value of x.

Answers

Answer:

x = 25%

Step-by-step explanation:

At the first sale of 25% off, the handbag price dropped from $400 to $300. This is because (400 x 0.25 = 100) and (400 - 100 = 300) Therefore, the selling price of the handbag after one sale was $300.

At the second sale of 25% off, the handbag price dropped from $300 to $225. This is because (300 x 0.25 = 75) and (300 - 75 = 225). Therefore, the selling price of the handbag after two sales is $225.

The value of x remained the same for both sales. x = 25% or 0.25

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