Which set of ordered pairs represents a function?

Answer:

D) (4, -1)

Step-by-step explanation:

When a point is translated down 4 units you need to subtract 4 from the y-coordinates. The x-coordinates will not change. Therefore (4, 3) will become (4, -1).

Answer:

$15.61

Step-by-step explanation:

483.62 - 218.25 = 265.37

265.37/17 = $15.61

If each student raises the same amount, how much more money must each student raise is: $15.61.

Using this formula

Amount raised=Current amount to raised-Old Amount raised /Number of students

Where:

Current amount to raised=$483.62

Old Amount raised =$218.25

Number of students=17

Let plug in the formula

Amount raised=483.62 - 218.25/17

Amount raised= 265.37/17

Amount raised= $15.61

Thus, if each student raises the same amount, how much more money must each student raise is: $15.61.

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Answer:

x=0 , y=2

Step-by-step explanation:

x=y-2

4x+y =2

We can substitute the first equation in for x into the second equation

4*(y-2) +y =2

Distribute the 4

4y-8 +y =2

Combine like terms

5y-8 =2

Add 8 to each side

5y-8+8 = 2+8

5y= 10

Divide each side by 5

5y/5 =10/5

y=2

But we still need to find x

x = y-2

x = 2-2

x=0

Answer:

BE : EC = 1 : 3

Step-by-step explanation:

Consider triangles AKD and EKB. In these triangles

Then ΔAKD is similar to ΔEKB by AAA theorem.

Similar triangles have proportional corresponding sides:

[tex]\dfrac{AD}{EB}=\dfrac{AK}{EK}=\dfrac{DK}{KB}.[/tex]

Since [tex]\dfrac{DK}{KB}=\dfrac{4}{1},[/tex] then [tex]AD=4BE.[/tex]

Opposite sides in parallelogram have the same lengths, then [tex]BC=AD.[/tex]

Now

[tex]BC=BE+EC,\\ \\BC=\dfrac{1}{4}BC+EC,\\ \\EC=BC-\dfrac{1}{4}BC=\dfrac{3}{4}BC.[/tex]

Find the ratio

[tex]\dfrac{BE}{EC}=\dfrac{\frac{1}{4}BC}{\frac{3}{4}BC}=\dfrac{1}{3}.[/tex]

The ratio of BE:EC is 1:2.

We have Parallelogram ABCD

Point K on diagonal BD such that BK:DK = 1:4

The extension of AK meets BC at point E

Since BK:DK = 1:4,

we know that BK = 1/5 * BD

and DK = 4/5 * BD.

AK extends to meet BC at point E means that AE is parallel to BD and BE is parallel to AK.

pair A,B,C,D,K,E;

A = (0,0);

B = (5,0);

C = (5,5);

D = (0,5);

K = (3.5,0);

E = (3.5,2.5);

Since AE is parallel to BD and BD is a diagonal of parallelogram ABCD, we know that AE bisects BD. This means that AE = BD/2 = 3/5 * BD.

Since BE is parallel to AK and AK is a diagonal of parallelogram ABCD, we know that BE bisects AK. This means that BE = AK/2 = 1/5 * BD.

Therefore, the ratio of BE:EC = 1/5 * BD

: 2/5 * BD

= 1:2.

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Answer:

10

Step-by-step explanation:

calculate the distance using the distance formula

d = √( x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (2, 6)

d = [tex]\sqrt{(2-2)^2+(6+4)^2}[/tex] = [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10

Answer:

6/7

Step-by-step explanation:

Change in y over the change in x.

7 - 1 over 8 - 1 =

6 over 7

6/7

Answer:  Table L shows a proportional relationship.

Step-by-step explanation:

in table L, the ordered pairs are: (-1,-2),(0,0),(1,2),(2,4)

in table M, the ordered pairs are: (-1,-4),(0,0),(1,6),(2,9)

Notice that in table L, the increment for x values is consistent which is adding 1 and the increment for y values is consistent too which is adding 2. That's why table L is proportional.

In table M, the increment for x values is 1 but there is no consistent increment for y values.

Answer:

see explanation

Step-by-step explanation:

the rate of change is the measure of the slope m of the line

To calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 27) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-27}{5-0}[/tex] = [tex]\frac{-35}{5}[/tex] = - 7 ← rate of change

the initial value is the y-coordinate of the starting point

That is y = 27 ← starting value

The rate of change for the linear function is -7 and the initial value is 27.

Answer:

32

Step-by-step explanation:

38-6=32

Hi there! :)

Answer:

n=32

*The answer must have a positive sign.*

Step-by-step explanation:

First, you subtract by 6 from both sides of an equation.

n+6-6=38-6

Then, you subtract by the numbers from left to right.

38-6=32

Final answer is n=32

I hope this helps you!

Have a nice day! :)

Thanks!

-Charlie

:D

Answer:

500

Step-by-step explanation:

Answer:

Ming exceed [tex]1\frac{1}{16}[/tex] miles her goal for that day

Exep-by-step explanation:

[tex]5\frac{9}{16}- 4\frac{1}{2} =5\frac{9}{16} -4\frac{8}{16}=1\frac{1}{16} miles[/tex]

Answer:

There are 264 pints in 33 gallons.

Step-by-step explanation:

Because there are 8 pints in 1 gallon.

Answer: 264 pints

Step-by-step explanation:

There are 8 pints in a gallon so you multiply that by 33 and you get your answer.

Answer:

He saves $14.50

Step-by-step explanation:

We can find the discount by multiplying the price by the percentage off

58* .25  = 14.50

He saves $14.50

Answer:

14.50

Step-by-step explanation:

You are not asked for the final price. You are asked for the amount saved. Don't confuse the two.

If he gets 25% off then you multiply (25/100) times 58 to get the amount saved.

(25/100) * 58 = 14.50

So his reduction is $14.50

Answer:

Value of p is 1.2.

Now drag and drop the values as per explanation.

Step-by-step explanation:

Additive inverse of any number means a number which can be added to the original number to get

Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.

Given number p is additive inverse off -1.2 so p must be 1.2.

Sum will obviously be 0.

So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.

Answer:

Alright well solve for y by simplifying both sides of the equation, then isolating the variable

Exact form: y = - 65/4

Decimal form: y = - 16.25 Hope this helps Have a nice day :)

Step-by-step explanation:

Answer:

Y=2x-3

Step-by-step explanation:

Hi there! :)

Answer:

y = 2x - 3

Step-by-step explanation:

The slope intercept equation looks like this : y = mx + b

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

Your y-intercept = -3 → SO, b = -3

Your slope = 2 → SO, m = 2

Replace the values of "b" and "m" in the equation, and you're done:

y = mx + b

y = 2x - 3

There you go! I really hope this helped, if there's anything just let me know! :)

Answer:

Never

Step-by-step explanation:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Thats what my teacher tought me

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

 –9(a – 5) = –18  

Distribute

-9a +45 = -18

Subtract 45 from each side

-9a +45-45 = -18-45

-9a = -63

Divide each side by -9

-9a/-9 = -63/-9

a = 7

To check the solution put a =7 back into the original equation

 –9(a – 5) = –18  

  -9(7-5) = -18

Simplify

-9(2) = -18

-18 = 18

This is true  so 7 is the solution

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

Here, the given equation is,,

[tex]-9(a-5)=-18[/tex]

And, after solving it the result is,

a = 7

We can check whether a result is the solution of an equation by substituting the result in the given equation.

If we get a true statement, then the result is the solution of the equation.

Thus, for verifying the solution, steps are as follow,

Step 1 : Substitute 7 ,

-9(7-5) = -18

Step 2 : Simplify the equation after substituting the value of a  

-9(2) = -18    

Step 3 : Verify that a = 7 is correct when the result is a true statement.

-18 = -18      

The probability that the first 2 ribbons removed from the bag are yellow is [tex]\(\frac{1}{51}\)[/tex].

First, let's calculate the probability of drawing the first yellow ribbon. There are 3 yellow ribbons and a total of 8 red, 7 green, and 3 yellow ribbons, which sums up to 18 ribbons in total. So, the probability of drawing the first yellow ribbon is:

[tex]\[ P(\text{first yellow}) = \frac{\text{Number of yellow ribbons}}{\text{Total number of ribbons}} = \frac{3}{18} = \frac{1}{6} \][/tex]

After drawing the first yellow ribbon, there are now 17 ribbons left in the bag, with 2 yellow ribbons remaining. The probability of drawing the second yellow ribbon is:

[tex]\[ P(\text{second yellow | first yellow}) = \frac{\text{Number of remaining yellow ribbons}}{\text{Total number of remaining ribbons}} = \frac{2}{17} \][/tex]

Now, we multiply the two probabilities to find the probability that the first two ribbons drawn are yellow:

[tex]\[ P(\text{first two yellow}) = P(\text{first yellow}) \times P(\text{second yellow | first yellow}) = \frac{1}{6} \times \frac{2}{17} \]\[ P(\text{first two yellow}) = \frac{1 \times 2}{6 \times 17} = \frac{2}{102} = \frac{1}{51} \][/tex]

Answer:

D. 30-ounce box for $5.25 is the best buy

Step-by-step explanation:

To determine which is the better buy, we need to determine the unit rate for each.  We will take the price and divide by the number of ounces.  The best price is the smallest price per ounce.

A. 10-ounce box for $2.80

$2.80/10 = $.28 per ounce

B. 16-ounce box for $3.75

$3.75/16 = $.234375 per ounce

Rounding to the nearest cent

$.23 per ounce

C. 24-ounce box for $4.50

$4.50/24 = $.1875 per ounce

Rounding to the nearest cent

$.19 per ounce

D. 30-ounce box for $5.25

$5.25/30 =$.175 per ounce

Rounding to the nearest cent

$.18 cent per ounce

Answer:

see explanation

Step-by-step explanation:

there are 2 possible values for q

Since sin q > 0 then q is in the first or second quadrant

sin q = 0.4848, then

q = [tex]sin^{-1}[/tex](0.4848) ≈ 29° ← first quadrant

or q = 180° - 29° = 151° ← second quadrant

Answer: 1=x

Step-by-step explanation:

                                6x+9=3x+6                                                                                                      -6         -6        

                                    6x+3=3x                                                                                               -6x   -6x      3=-3x                                                                                  3 divided by 3 is one    1=x                         I hope this helps sorry if its incorrect i havent done this in a while

Answer:

x = -1

Step-by-step explanation:

Subtract 3x from both sides

6x + 9 - 3x = 3x + 6 - 3x

3x + 9 = 6

Subtract 9 from both sides

3x + 9 - 9 = 6 - 9

3x = -3

Divide both sides by 3

3x/3 = -3/3

x = -1

Answer:

$852.5

Step-by-step explanation:

$11 * 40 hours = $440 for reg. hours

$16.5 * 9 hours = $148.5 for overtime

$22 * 12 hours = $264 for holiday time

$440 + $148.5 + $264 = $852.5 in total

Answer:

$3.38

Step-by-step explanation:

The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38

Answer:

$3.38  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

4.50(4) + 8x = $45.00

$18 + 8x = 45.00

8x = 45 - 18

8x = 27

x = 27 ÷ 8

x = 3.375 rounded to nearest cent is $3.38

[tex]\left\{\begin{array}{ccc}-5x+7y=11&\text{change the signs}\\-5x+3y=19\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-7y=-11\\-5x+3y=19\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-4y=8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad \boxed{y=-2}\\\\\text{Upt the value of y to the second equation:}\\\\-5x+3(-2)=19\\-5x-6=19\qquad\text{add 6 to both sides}\\-5x=25\qquad\text{divide both sides by (-5)}\\\boxed{x=-5}\\\\Answer:\ \boxed{x=-5\ and\ y=-2\to(-5,\ -2)}[/tex]

Answer:

B

Step-by-step explanation:

-6 10n to the 5 11n to the 3

you put the ones that are alike to gether. so -3 and -3 together and 5n to the 3rd and 6n to the third together and 3n to the fifth and 7n to the fifth together

Given : (-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)

Rearrange respective Like terms as they are a Family, They should be together.

In the Given Expression, The Like terms are :

✿  3n⁵ and 7n⁵

✿  6n³ and 5n³

✿  -3 and -3

After Rearranging, The Given Question looks like :

✿  (3n⁵ + 7n⁵) + (6n³ + 5n³) - 3 - 3

Now, Add the Like Terms as they belong to the same Family

⇒ 10n⁵ + 11n³ - 6

Answer:

-15

63 but in simplified form, it's like this: -5

                                                              21

Step-by-step explanation: For multiplication and division, you don't need a common denominator, but for addition and subtraction you have to find the common denominator...

For this problem, since your multiplying, you just multiply straight accross, and if it needs to be simplified, then simplify:

5/9 x -3/7

-15

63

SIMPLIFIED because both -15 & 63 can be divided by 3 and end up like this:

-5

21