The Jones family traveled 314 miles each day until they reached their destination, which is 1,256 miles away from their starting point. How many days did they drive until they arrived at their destination?

The only of these that is a proper set of ordered pairs for this equations is A) (0,-4) (1,2) (3,14)

In order to prove this, you need to put each ordered pair into the equation and prove that it is a true statement. Below are the examples of this for A.

(0, -4)

y = 6x - 4

-4 = 6(0) - 4

-4 = 0 - 4

-4 = -4 (TRUE)

(1, 2)

y = 6x - 4

2 = 6(1) - 4

2 = 6 - 4

2 = 2 (TRUE)

(3, 14)

y = 6x - 4

14 = 6(3) - 4

14 = 18 - 4

14 = 14 (TRUE)

Therefore, each of these ordered pairs works in the equation.

The set of ordered pair which is representing the inputs and outputs of the given function is (0,-4) (1,2) (3,14)

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, is a function, y = 6x - 4, we need to identify the possible inputs and outputs of the function from the given ordered pairs,

To find the same, we need to put each ordered pair into the equation,

(i) (0, -4)

y = 6x - 4

-4 = 6(0) - 4

-4 = 0 - 4

-4 = -4 [correct]

(ii) (1, 2)

y = 6x - 4

2 = 6(1) - 4

2 = 6 - 4

2 = 2 [correct]

(iii) (3, 14)

y = 6x - 4

14 = 6(3) - 4

14 = 18 - 4

14 = 14 [correct]

Therefore, each of these ordered pairs satisfy the equation.

Hence, the set of ordered pair which is representing the inputs and outputs of the given function is (0,-4) (1,2) (3,14)

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7 1/3 because 7 times 3 equals 21 then you add 1 and it makes 7 and 1/3

Divide 3 with 22

22/3 = 7.33  repeating

7.33 = 7 1/3

3 goes into 22 7 1/3 of a time

hope this helps

Answer:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

Step-by-step explanation:

NO, because the resulting function for (g ○ f)(0) tends to infinity

An undefined term or function is a term or function that does not exsit.

A composite function is a function that is placed in another function.

Given the functions

f(x) = 1/x g(x) = x − 4

Before we can calculate the composite function (g ○ f)(0), we ned to first calculate (g ○ f)(x) as shown:

(g ○ f)(x) = g(f(x))

g(f(x)) = g(1/x)

Substitute x as 1/x in g(x) as shown:

[tex]g(f(x)) =g(\frac{1}{x} )\\g(\frac{1}{x} )=(\frac{1}{x}-4 )\\Find \ the \ LCM\\g(\frac{1}{x} )=(\frac{1-4x}{x} )\\[/tex]

NExt is to check whether we can evaluate (g ○ f)(0) by substituting x = 0 into the resulting function as shown:

[tex]g(f(0) )=(\frac{1-4(0)}{0} )\\g(f(0) )=(\frac{1}{0} )\\g(f(0) )=\infty[/tex]

We can see that the resulting function tends to infinity which shows that g ○ f)(0) cannot be evaluated.

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Substitute y = x - 4 to the first equation:

-3x + 4(x - 4) = -20     use disrtibutive property

-3x + (4)(x) + (4)(-4) = -20

-3x + 4x - 16 = -20     add 16 to both sides

x = -4

Substitute the value of x yo the equation y = x - 4:

y = -4 - 4 = -8

The sum of 6 and 3: 6+3

The difference of 6 minus 3: 6-3

The sum of 6 and 3 divided by the difference of 6 minus 3: [tex]\frac{6+3}{6-3}[/tex][tex]=\frac{9}{3}=3[/tex]

I hope this helps :)

Final answer:

To solve the expression given in the question, perform subtraction first (6-3), then addition (6+3), and finally, divide the sum by the difference to get the answer, which is 3.

Explanation:

The question asks us to find the sum of 6 and 3 divided by the difference of 6 minus 3. To find this, we must apply the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Firstly, let's find the difference of 6 minus 3:
6 - 3 = 3.

Now we shall find the sum of 6 and 3:
6 + 3 = 9.

Lastly, we divide the sum by the difference we found earlier:
9 / 3 = 3.

So the answer to the question is 3.

The correct answer is C. They are going down by 3.

Answer:

Yes it can be rounded to the nearest whole Number 14

Step-by-step explanation:

The probability is 15%.

The answer you are looking for is 15%.

To find this answer, you must add up all the CDs to find the total. The total number of CDs is 40, which you divide into 6 (6/40). In doing so, you'll get 0.15, which you multiply by 100 to make it a percent. Thus making the answer 15%.

I hope this helps!

-2x^6 That is pertty short :)

$6.24. This is because 1.44 / 6 = 0.24, and 0.24 x 26 = 6.24.

the answer is $37.44

I feel the best answer would be c

Answer:

Correct option is:

a. 6,000 ft²

Step-by-step explanation:

A pavement is 20 ft wide and 100 yd long

1 yd= 3 ft

100 yd = 300 ft

we have to find the area of pavement

Area= Length × Width

       = 300 ft × 20 ft

       = 6000 ft²

Hence, Correct option is:

a. 6,000 ft²

Hey there!!

Slope-intercept form :

y = mx + b

m is the slope and b is the y-intercept.

Given equation :

x - 2y = 12

We will have to isolate the y.

... x - 2y = 12

... -2y = x - 12

... y = ( x - 12 ) / -2

... y = x / - 2 + 6

Hence, the slope is -1/2

Hope my answer helps!

Remember that parentheses come first. Follow PEMDAS

Simplifying

2(3(4 + p) + p) + p

2((4 * 3 + p * 3) + p) + p

2((12 + 3p) + p) + p

Combine like terms: 3p + p = 4p

2(12 + 4p) + p

(12 * 2 + 4p * 2) + p

(24 + 8p) + p

Combine like terms: 8p + p = 9p

24 + 9p

This is an isosceles triangle. Therefore |AC| = |BC|.

2x = 3x - 5     |subtract 3x from both sides

-x = -5       |change the signs

93a - 3b - 10a + 6 = (93a - 10a) + (-3b) + (6) = 83a - 3b + 6

x = the number of hours

write an equation of the problem: 8x + 20 = 52

subtract 20 from each side: 8x = 32

divide each side by 8: x = 4

she rented the bike for 4 hours.

Given

You created a new playlist in 100 of your friends listened to it and shared if they liked

The new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.

Dylan said that for every three people who like to playlist one person did not

Find out  Do Nadhii and Dylan Agree or not.

To proof

As given in the question

created a new playlist in 100 of your friends listened to it and shared if they liked

new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.

Simply the ratio of people who liked the playlist to those who did not like the playlist

[tex]= \frac{75}{25}[/tex]

[tex]= \frac{3}{1}[/tex]

Thus  

[tex]\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}[/tex]

also

Dylan said that for every three people who like to playlist one person did not

In the form of ratio written as

[tex]\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}[/tex]

the value of both new playlist  and Dylan said about the ratio of people who liked the playlist to those who did not like the playlist is 3:1.

The value both of their ratio are equivalent .

Thus Nadhii and Dylan Agree

Hence proved

She will need 51

3.4 multiple by 6 for the sq feet then multiple by 3.4 which gives  

24.4 sq feet divided by .4 is 51

Answer:

180 tiles.

Step-by-step explanation:

We have been given that Vanessa wants to cover her closet floor with tile’s that are 1/3 feet on each side the closet is 3 1/3 feet wide on a 6 foot deep.

To find the number of tiles needed to cover the closet floor, we will divide area of closet floor by area of each tile as:

[tex]\text{Area of closet floor}=3\frac{1}{3}\text{ feet}\times 6\text{ feet}[/tex]

[tex]\text{Area of closet floor}=\frac{10}{3}\text{ feet}\times 6\text{ feet}[/tex]

[tex]\text{Area of closet floor}=10\text{ feet}\times 2\text{ feet}[/tex]

[tex]\text{Area of closet floor}=20\text{ feet}^2[/tex]

[tex]\text{Area of each tile}=\frac{1}{3}\text{ feet}\times \frac{1}{3}\text{ feet}[/tex]

[tex]\text{Area of each tile}=\frac{1}{9}\text{ feet}^2[/tex]

[tex]\text{Tiles needed to cover the closet floor}=20\text{ feet}^2\div \frac{1}{9}\text{ feet}^2[/tex]

Convert into division problem by flipping the fraction:

[tex]\text{Tiles needed to cover the closet floor}=20\times\frac{9}{1}[/tex]

[tex]\text{Tiles needed to cover the closet floor}=180[/tex]

Therefore, Vanessa needs 180 tiles to cover the closet floor.

I think that it's B, y = -x - 7 because first you'd subtract y to get it on the other side then add x and then you'd need to make the y positive so you would divide x + 7 by -1 and that would make it y = -x - 7.

Answer:

Step-by-step explanation:

Start with  -x = y + 7.  Subtract 7 from both sides.  Then y = -1x - 7.  This is the equation in slope-intercept form.

given -2(x + 1) = 5x + 4 - x ( distribute left side )

-2x - 2 = 4x + 4 ( simplifying both sides )

subtract 4x from both sides

- 6x - 2 = 4 ( add 2 to both sides )

- 6x = 6 ( variable by itself on left side )

divide both sides by - 6

x = [tex]\frac{6}{-6}[/tex] = - 1

as a check, substitute x = - 1 into the equation and if both sides are equal then it is the solution.

left side = - 2(-1 + 1 ) = - 2 × 0 = 0

right side = (5 × - 1) + 4 - (- 1) - 5 + 4 + 1 = 0

hence x = - 1 is the solution

we have that

[tex]y > -x-2[/tex]

using a graphing tool

see the attached figure

The solution is the shaded area above the dashed line

The slope of the line is m=-1

The x-intercept is the point (-2,0)

The y-intercept is the point (0,-2)

therefore

the answer in the attached figure

Answer: 1/20 pounds

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

So, we have to subtract the amount of clay used (1/5 +1/4) to the amount of clay available (1/2).

Mathematically speaking:

1/2 lb - ( 1/5 lb +1/4 lb) =  

1/2 lb - 9/20 lb = 1/20 lb = 1/20 pounds

To convert a fraction or decimal to a degree, convert the fraction to a decimal if necessary, and then multiply by 360 to get the degree measurement.

The question is about how to convert a fraction or decimal to a degree, which is fundamentally a process of unit conversion. While the base information provided relates to converting decimals to percents and vice versa, converting to degrees requires a different approach.

To convert a decimal to a degree, you need to understand that one whole turn (360 degrees) equals a value of 1 in decimal form. If you have a decimal, you simply multiply it by 360 to get the degree measure. For a fraction, you convert it to a decimal by dividing the numerator by the denominator and then multiply by 360 to convert to degrees.

For example, to convert the fraction 1/2 to degrees, first convert it to a decimal (1 divided by 2 equals 0.5), then multiply by 360 to get 180 degrees. Similarly, to convert the decimal 0.25 to degrees, you would multiply 0.25 by 360 to get 90 degrees.

0.75(x+20)=2+0.5(x-2)

Distribute on both sides

0.75x+15= 2+0.5x-1

Add common factors

0.75x+15=1+0.5x

Subtract 0.5x on both sides

0.25x+15=1

Subtract 15 on both sides

0.25x=-14

Divide by 0.25 on both sides

x = -56

The value of x that will make both equations to be equivalent to each other is = -56

From the equation:

0.75(x + 20) = 2 + 0.5(x - 2)

Open brackets

0.75x + 15 = 2 + 0.5x - 1

Collect like terms

0.75x - 0.5x = 2 - 1 - 15

0.25x = - 14

Divide both sides by 0.25

[tex]\mathsf{\dfrac{0.25x}{0.25} =\dfrac{ - 14}{0.25}}[/tex]

x = -56

Therefore, we can conclude that the value of x that will make both equations to be equivalent to each other is -56

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Final answer:

Using the information that Ram is twice as old as Sheeta and that five years ago his age was three times the age of Sheeta, we solve the equation 2S - 5 = 3(S - 5) to find that Sheeta's current age is 10 years old.

Explanation:

The question involves creating equations based on the given information to solve for Sheeta's age. Let's denote Sheeta's age as 'S' and Ram's age as '2S' since Ram is twice as old as Sheeta. According to the second statement, five years ago Ram's age was three times Sheeta's age at that time. Therefore, we can write the equation as 2S - 5 = 3(S - 5).

Solving the equation step-by-step:

This simplifies to -S = -10

Hence, Sheeta's current age is 10 years old.

1.7=0.7 is the answer

the answer to this problem is 2/25. I got this by simplifying both exponents which changes the equation to (2)(1000)(4)(1/100000). Then you multiply the other numbers by its simplified exponent and makes the equation 2000(1/25000). The last step is to multiply those two and you get your answer, 2/25(simplified version)   :)

To simplify (2 x 10^3) (4 x 10^-5), you multiply the numbers 2 and 4 to get 8 and add the exponents +3 and -5 to get -2, giving the final result of 8 x 10^-2.

To simplify the expression (2 x 10^3) (4 x 10^-5), you need to multiply the numbers (2 and 4) and the exponents of 10 (+3 and -5) separately. To multiply 2 and 4, you get 8. When multiplying numbers with exponents, you add the exponents together. So, 10^3 multiplied by 10^-5 is the same as 10^(3 - 5), or 10^-2. So the answer is 8 x 10^-2.

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