3. Tell whether the set of ordered pairs {(3, 2), (4, 3), (5, 4), (6, 5)} satisfies a linear function. Explain.
a. No; there is no constant change in x that corresponds to a constant change in y.
b.
No; there is a constant change in x that corresponds to a constant change in y.
Yes; there is a constant change in x that corresponds to a constant change in y.dd T
Yes; there is no constant change in x that corresponds to a constant change in y.
d.
Find the x and
conto

Answer:

explain?

Step-by-step explanation:

When a calcium atom forms an ion, it loses two electrons. The electrical charge of the calcium ion is +2

Calcium ions are net positive two charges. In calcium, when it has assumed its most stable state, the relationship between the quantity of protons (20) and the quantity of electrons (18) is represented by the +2 charge.

In the event that calcium (Z = 20) picks up two electrons, the resultant ion will have 18 electrons and 20 protons, giving it a charge of +2. (two more positive protons than negative electrons). It's a cation, this ion. Using the Ca2+ symbol, we can identify a calcium ion.

Atoms that lose electrons acquire a positive charge as there are fewer electrons left with negative charges to balance the positive charges of the protons in the nucleus. Positively charged ions are known as cations.

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Answer:

g>5

Step-by-step explanation:

Simply add 6 to both sides to get g>5

The value of the expression [tex]343^{-4/3}[/tex] is 1/2401.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]343^{-4/3}[/tex]

This can be written as,

1/[tex]343^{4/3}[/tex]

343 = 7³

= 1/[tex]7^{3\times4/3}[/tex]

= 1/[tex]7^4[/tex]

[tex]7^4[/tex] = 7 x 7 x 7 x 7 = 49 x 49 = 2401

= 1/2401

Thus,

The value of the expression is 1/2401.

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The probability that the top card is a suit of heart as calculated from the data given is found to be 4 / 663.

We are given that ,

The number of cards in the deck = 52

Number of 3's in the deck = 4

Number of 8's in the deck = 4

As because all the card deck's have 4 cards of same number in different suits.

Probability is calculated as ,

P = required outcome / Total possible outcomes

Therefore, when we can choosing cards without replacing them we get,

P(top card is a 3) = 4 / 52

P(second being 8) = 4 / 51

P(top card is a 3 and second 8)

=4/52 x 4/51

= 16 / 2652

= 4 / 663.

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Answer:

y = 9.75x

Step-by-step explanation:

y = the money earned

x = number of lawns.

The expression (1/4)(s + 24.80) is used to determine the discount when you buy shoes with a retail price of s dollars and hats with a total retail price of $24.80. The expression calculates the discount as a quarter of the total retail price of the shoes and hats. So another expression is 0.25s + 6.20.

Another expression that can be used to determine the discount would be to calculate the discount as a percentage of the total retail price of the shoes and hats. For example, if the discount is 25%, the expression would be:

Discount = 0.25 × (s + 24.80)

This expression calculates the discount as 25% of the total retail price of the shoes and hats.

Another expression can be :

Discount = 0.25×s + 6.2

This expression calculates the discount as 25% of the shoes price and $6.2 for hats.

It is important to note that the specific expression used to determine the discount will depend on the details of the sale and how the discount is being offered. The above expressions are just examples of how the discount can be calculated using different methods.

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Answer:

B. The objects will push away from each other

Step-by-step explanation:

I did the quiz :)

hope this helped!

Answer:

ur correct

Step-by-step explanation:

if ∠N and ∠Y are the same then we know the missing angle is 30.°  

30

Step-by-step explanation:

do angle sum property

x + z + y = 180

60 + 90 + y = 180

150 + y = 180

y = 180-150

y = 30

The speed of Neegan paddles in still water will be 6 miles/Hr, while the rate of the current will be 1 mile/Hr.

Neegan paddles a kayak 21 miles upstream in 4.2 hours.

As he is moving in Upstream, so during returning the flow will be downstream

Downstream refers to the direction of the flow's termination, which is at the other end of the canal from the source. You are travelling upstream, for instance, if you are sailing from Kingston to Toronto. You are travelling downstream if you are moving from Kingston to Cornwall.

Let the speed of Neegan paddles in still water = x miles/Hr.

Let the rate of the current be = y miles/Hr.

As Speed = Distance/Time

So, for Upstream speed, Speed will be = x-y

For downstream, the speed will be = x+y

From question,

(x-y) = 21/4.2 = 5-----(i)

(x+y)= 21/3 = 7 -----(ii)

Solving (i) and (ii)

2x = 12

=> x = 6

So, the value of y (From (i), will be = (x-5) = 6-5 = 1

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Answer: D

Step-by-step explanation:

Since we are given 2 points, we can use that to find slope, convert to slope-intercept form, and then manipulate it to be standard form. Standard form is ax+by=c.

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-8}{1-(-9)} =\frac{-20}{10} =-2[/tex]

With m=-2, we can plug it into slope-intercept form to find the y-intercept.

[tex]y=-2x+b[/tex]         [plug in point]

[tex]8=-2(-9)+b[/tex]    [multiply]

[tex]8=18+b[/tex]             [subtract both sides by 18]

[tex]b=-10[/tex]

With m and b, we can plug in the equation.

[tex]y=-2x-10[/tex]        [add both sides by 2x]

[tex]2x+y=-10[/tex]

This gives D as the answer.

The equation to find the original price of the charging chord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

Let the price of the phone case is x.

And the price of the charging cord is y.

Discounted price for phone case:  15% of x = 0.15x

Discounted price for charging cord = 0.15y

Now, according to the question, the total discount is $4. 20

⇒0.15x + 0.15y = 4.20

⇒0.15 * 18 + 0.15y = 4.20

⇒2.7 + 0.15y = 4.20

⇒0.15y = 4.2 - 2.7

⇒y = 1.5/0.15

⇒y = $10

Therefore the equation to find the original price of the cord is 0.15x + 0.15y = 4.20 and the original price of the charging cord is $10.

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A 69 sided shape called"Hexacontakaienneagon".

Naming a polygon by its number of sides requires that we know the appropriate:

3=tri, 4=tetra, 5=penta, 6=Hexa, 7=hepta, 8=octa, 9=Nona or ennea, 10=deca,11=hendeca,12=dodeca,13=triskaideca,14=tetradeca,15=pentadeca,16=hexadeca,17=heptadeca,18=octadeca,19=enneadeca,20=icosa

For polygons with 3 through 20 sides, simply add "gon" to the prefixes at the left.

For more than 20 sides, we "construct" the name by using so-called combining prefixes:

For Tens Digit:

20=icosi,30=triaconta,40=tetraconta,50=pentaconta,60=hexaconta,70=heptaconta,80=octaconta,90=enneaconta

for One's Digit:

1=hena,2=di,3=tri,4=tetra,5=penta,6=hexa,7=hepta,8=octa,9=ennea

60                and      9    

hexaconta    kai     ennea

As per the given information, 69 is defined as "Hexacontakaienneagon".

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Answer:

D

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Find a circle. Measure the diameter and circumference.

You can use a tape measure, a piece of string or roll the circle along a ruler.

In every case you will find the circumference is a little more than three times bigger than the diameter.

The more accurate your measurements are, the closer you will get to pi = 3.14159...

Answer:

33 pi

Step-by-step explanation:

113.1/2 = 56.55

56.55 + 47.12 = 103.67

103.67/ pi = 33

Using graphical method, the solution to the system of linear inequality (x, y) are (1, 5)

A mathematical statement called a linear inequality depicts the relationship between two different variables, typically on a graph. A line or border that divides the area of all the points that fulfill the inequality from the areas of the points that do not constitutes the graph of a linear inequality. A set of lines in the coordinate plane that represent the equations of a system of linear inequalities is called a graph. The region of the coordinate plane where each of the inequalities holds can be seen by joining these lines to create a graph.

The inequality given are;

This can be solved using a graphing calculator;

The point of intersection shows the solution to the graph

The solution to the linear inequalities (x, y) are (1, 5)

The broken lines in the graph is from the greater than inequality, while then straight unbroken lines is the inequality with greater than or equal to sign.

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Answer:

C

Step-by-step explanation:

They are both the same equation

Answer:first answer

Step-by-step explanation:

Answer:

Factor out 1/3 because its a coefficient of x².

Why?

In order to proceed and complete the square... We need the coefficient of x² to be 1 and luckily for us.... Factoring 1/3 even makes everything easier

y=1/3[ x² + 20x + 97]

Using completing square on the function inside the bracket

x² + 20x + 10² + 97 – 10²

We have it to be( x + 10)² - 3]

y = 1/3[ (x +10)² - 3]

This is our Vertex Form... y=1/3[(x + 10)² - 3]

v(-10,-3).

Answer:

13

Step-by-step explanation:

Divide the total amount he paid by the amount of mugs he bought to find out how much each mug cost.

54 ÷ 6 = $9

Each mug is nine dollars, INCLUDING THE SALE which is $4 off.

Add $4 to $9 to find the regular price

$4 + $9 = 13

Answer:

The awnser should be $11

Step-by-step explanation:

You would need to divide the total price Luis pays, $51 by the amount he got 3. From there you would get 17=p but you would have to subtract it by the sale which was $6 and you get $11.

Answer:

-0.4

Step-by-step explanation:

............................

Magda said the typical measure of orange juice in a full family-size jug is 1 gal in value.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

The complete question is : In a math question, Magda correctly answered a question that asked for a typical measure of orange juice in a full family-size jug. Which was her answer?

a. 2 cups

b. 1 gal

c. 10 gal

d. 10 fl oz

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Step-by-step explanation:

x^4-9x^2-8x^2+72

x^2(x^2-9)-8(x^2-9)

(x^2-8)(x^2-9)

(x^2-8)(x+3)(x-3)

Answer:

26$

Step-by-step explanation:

¼×48=12

so 12 was spent on calculator

12+14= 26

F ∘ G is a mathematical operation that is used to find the composite of two functions, f and G. This operation is also known as function composition or composition of functions.

Function composition (also known as function composition of functions) is a mathematical operation that allows one to combine two or more functions into a single, larger function. This operation is symbolized by F ∘ G. The composite of two functions, f and G, is defined as the composite of two functions f and G, which is a new function h, such that h(x) = f(G(x)) for all x in the domain of the function. This means that the output of G is the input of f and the output of f is the output of h. Function composition is a useful tool for combining functions in order to create more complex functions. It can also be used to simplify and shorten existing functions, as well as to simplify an equation by reducing the number of operations that need to be performed.

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Answer:

1. 6:2

2.for every 1 yellow paint, she needs 3 red paints

3.an orange

Step-by-step explanation:

1. It would be 6:2 because for every 2 parts yellow she needs 6 parts red

2. Since the ratio is first 6:2, just divide it by 2 since there is 2 yellow and it's asking how much red you need for 1 yellow

The key features of the quadratic function y = -x² + 4x - 3 include the following: D) x-intercepts: (1, 0) and (3, 0), y-intercept: (0, –3), vertex: (2, 1).

In Mathematics, the y-intercept of any graph such as a quadratic function, generally occur at the point where the value of "x" is equal to zero (x = 0).

When x = 0, the y-intercept is given by;

y = -x² + 4x - 3

y = -0² + 4(0) - 3

y = -3

Therefore, the y-intercept of this quadratic function y = -x² + 4x - 3 is given by the ordered pair (0, -3).

In Mathematics, the x-intercept can be defined as the point at which the graph of a quadratic function crosses the x-coordinate and the value of "y" is equal to zero (0).

By critically observing the graph of this quadratic function y = -x² + 4x - 3, the x-intercept include the following:

In conclusion, the vertex of this quadratic function y = -x² + 4x - 3 is (2, 1).

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Answer:

175$

Step-by-step explanation:

Answer:

2950

Step-by-step explanation: