Find the function that represents the relationship in the table

a)

y = 14x + 14


b)

y = 8x + 14


c)

y = 8x


d)

y = 14x + 8

x = -1

x = 2

x = -2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Checking for a perfect cube :

1.1    x3+x2-4x-4  is not a perfect cube

Trying to factor by pulling out :

1.2      Factoring:  x3+x2-4x-4  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+x2  

Group 2:  -4x-4  

Pull out from each group separately :

Group 1:   (x+1) • (x2)

Group 2:   (x+1) • (-4)

              -------------------

Add up the two groups :

              (x+1)  •  (x2-4)

Answer:

Ax+By=C

Step-by-step explanation:

Answer:

an equation

Step-by-step explanation:

just did it

Answer:

[tex]x=15^\circ[/tex]

Step-by-step explanation:

In a right triangle:

[tex]\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)[/tex]

Therefore, given:

[tex]Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ[/tex]

Answer:

the answer is A

Step-by-step explanation:

i went but the all the other answers in and it was left to  A

Option A is the correct answer.

What is the cost of one item if the cost of m items is x?

The cost of one item is obtained by dividing the total cost of m items by the number of items.

Given

The total amount spent by Sal > $24,

cost of 3 tennis balls = $2.

Cost of n tennis balls

Divide the cost of three tennis balls by 3 to get the cost of one tennis ball, which is $2/3.

Let the number of balls bought by Sal be n, and P be the cost of n tennis balls.

Total amount spent by him, P = cost of one ball × number of balls bought = ($2/3) × n = $(2/3)n.

Obtain the inequality

Since the total amount spent by him > $24, using the above value of P we obtain,

$(2/3)n > $24.

The inequality to be used to find n is (2/3)n > 24.

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Answer:

(5, -1)

Step-by-step explanation:

You find the center of both the coordinates. For the x axis: 3+7 = 10. 10/5=2. For the y axis: -4+2=-2. -2/2 = -1. Put them together and get the answer! :)

Answer:

29

Step-by-step explanation:

If you mean the exterior angle at the same vertex as the interior,

(9+k)+(5k-3)=180

9+k+5k-3=180

6k+6=180

6k=174

k=29 degrees

Answer:

29

Step-by-step explanation:

Answer:

a= -27

Step-by-step explanation:

The other answer I had was wrong so..

// have a great day //

Answer:

-2/3 a - 6 = 12

+6                 +6

-2/3 a = 18

divide by -2/3 on both sides

a = -27.00027

Step-by-step explanation:

CHECK

-2/3 (  -27.00027) -6 = 12

18.00018 -6 = 12

12.00018 about 12  SO YES ITS CORRECT

Answer:

D : This is because there are 8 outcomes and 2 events.

It cannot be C as C does not show true event outcomes on each H or T event.

Step-by-step explanation:

Tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin:

The coin has two faces: head and tail

possibility set = {H, T}

Number of total possible outcomes = 2

In a pyramid that has four sides labeled 1 through 4:

possibility set = {1, 2, 3, 4]

So a number of possible outcomes = 4

If the tossing a coin and rolling a fair number of pyramid

So the number of possible outcomes = 2×4 = 8

Thus, tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.

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Answer:

The final answer is [tex]\frac{8}{27}[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

-Simplify [tex]2^{2}[/tex] :

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]3^{-1}[/tex] :

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]4[/tex] and [tex]\frac{1}{3}[/tex] :

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]4^{-1}[/tex] :

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]\frac{4}{3}[/tex] and [tex]\frac{1}{4}[/tex] together:

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]\frac{1}{3}^{-1}[/tex] :

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

-Then, on the denominator,  simplify [tex]2^{-3}[/tex] :

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

Simplify [tex]3^{4}[/tex] :

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 81[/tex]

Multiply both [tex]\frac{1}{8}[/tex] and [tex]81[/tex] together:

[tex]3 \over \frac{1}{8} \times 81[/tex]

[tex]3 \over \frac{81}{8}[/tex]

Divide [tex]3[/tex] and [tex]\frac{81}{8}[/tex] by multiplying [tex]3[/tex] by the reciprocal of [tex]\frac{81}{8}[/tex] :

[tex]3 \over \frac{81}{8}[/tex]

[tex]3 \times (\frac{81}{8})[/tex]

-And you multiply [tex]3[/tex] and [tex]\frac{81}{8}[/tex] together:

[tex]3 \times (\frac{81}{8})[/tex]

[tex]\frac{8}{27}[/tex]

So, the final answer would be [tex]\frac{8}{27}[/tex] .

Answer:

56 times

Step-by-step explanation:

To find the probability of both spinners landing on red, we need to multiply the probability of the spinner A landing on red (0.5) by the probability of the spinner B landing on red (0.6):

P(redA and redB) = 0.5 * 0.6 = 0.3

Then, to find the probability of both landing on blue, we do the same:

P(blueA and blueB) = 0.5 * 0.4 = 0.2

Now, if the number of times that both spinners land on red is 84, to estimate the number of times that both land blue, we just need to multiply this number of times by the ratio of P(blueA and blueB) over P(redA and redB):

84 * 0.2 / 0.3 = 56 times

Answer:

21. 98 cents

Gabby placed in 4th.

Step-by-step explanation:

Assuming Steven is paying, 51+45+2=98 cents.

Answer:

21. 98 cents

Gabby placed in 4th.

Step-by-step explanation:

oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo have a great day

Answer:

Step-by-step explanation:

A linear equation in "standard form" looks like Ax + By + C = 0,  or

Ax + By = D

x + y = -1 :  is in standard form:  A = 1, B = 1 and D = -1

-3.x = y :  NOT in standard form

x + 4y = 0   is in standard form

y = 5x - 2   NOT in standard form

x = 3 -0.17   NOT

8x – 3y = 20  is in standard form

Answer:

A. x + y = -1

C. x +4y = 0

F. 8x - 3y = 20

Step-by-step explanation:

Edge 2023

Answer:

"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.

To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."

Step-by-step explanation:

Answer:

Unit rate in grams of drink mix per ounce of water = 11 gram / ounces

Step-by-step explanation:

Given:

Amount of drink mix = 19 (1 /4) gram = 19.25 gram

Amount of water = 1 (3 /4) ounces = 1.75 ounces

Find:

Unit rate in grams of drink mix per ounce of water = ?

Computation:

⇒  Unit rate in grams of drink mix per ounce of water = Amount of drink mix / Amount of water

⇒  Unit rate in grams of drink mix per ounce of water = 19.25 / 1.75

⇒  Unit rate in grams of drink mix per ounce of water = 11 gram / ounces

Answer:

Step-by-step explanation:

[tex]\frac{8x}{7}=8[/tex]

Multiply both sides by 7

[tex]7*\frac{8x}{7}=8*7\\\\8x=8*7\\[/tex]

Divide both sides by 8

[tex]\frac{8x}{8}=\frac{8*7}{8}\\[/tex]

x = 7

Answer:

-The value of [tex]x[/tex]:

[tex]x = 7[/tex]

Step-by-step explanation:

-Solve for the value of [tex]x[/tex]:

[tex]\frac{8x}{7} = 8[/tex]

-Multiply both sides by the denominator, which is [tex]7[/tex]:

[tex]7\cdot \frac{8x}{7} = 8 \cdot 7[/tex]

[tex]8x = 56[/tex]

-Divide both sides by 8:

[tex]\frac{8x}{8} = \frac{56}{8}[/tex]

[tex]x = 7[/tex]

So, the value of [tex]x[/tex], would be [tex]x = 7[/tex].

Answer:

Positive Coterminal Angles = 60°,780°

Negative Coterminal Angles = -300°, -660°

Step-by-step explanation:

To find nearest two coterminal angle of 420°:

1) Subtract 360° from 420°:

420°- 360° = 60° (First Positive Coterminal Angle)

2)Add 360° to 420°:

420°+ 360° =780° (Second Positive Coterminal Angle)

To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.

1) Substract 360° from 420°

420°- 360° = 60°

Which is still a positive value.

2) Again Substract 360° from 60°

60°- 360° = -300° (First Negative Coterminal Angle)

3)Subtract 360° from -300°

-300°- 360° = -660° (Second Negative Coterminal Angle)

Answer:

the ball takes 3.1944 sec

Step-by-step explanation:

Answer:

It takes 3.498 seconds.

Step-by-step explanation:

To calculate free fall you must use the formula: h=1/2gt^2

Answer:

-5n + 8

Step-by-step explanation:

1. What is the difference?

  The sequence goes down by 5. This means that the formula will have -5n in it.

2. Work out the term before the first term.

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

3 + 5 = 8   Remember, this is positive 8. (+8)

3. Put that term at the end of the equation.

   We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

-5n + 8  This is our answer!

Just to prove it works:

Substitute:   n = term

Lets see if we can get the 3rd term which is -7. (n = 3)

-5(3) + 8

-15 + 8 = -7

See, it works!

Answer:

-4

Step-by-step explanation:

-16 + 12

When the signs are different we subtract the smaller from the larger and take the sign of the larger

16-12 = 4

The larger number has a sign of negative

-4

Answer:

b

Step-by-step explanation:

ur mom

Answer:

The statement true about the results of the survey is:

Step-by-step explanation:

To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:

And operate:

How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.

Answer:

$6.3

Step-by-step explanation:

Cost of one book =  $5.40

cost of 1000 books = 1000* Cost of one book  =  $5.40*1000 = $5400

Transportation cost for all the books = $200

Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books  = $5400 + $200 = $5600.

Given , trader wants to earn a profit of 12.5%

thus, we find 12.5 % of total cost incurred by trader

12.5 % of total cost incurred by trader = 12.5/100 *  $5600. = $700

Thus, total profit for 1000 books will be $700

we know that

selling price = cost price + profit

therefore, in the given problem

selling price for 1000 books =  total cost for 1000 books + total profit

substituting the value as calculated above

selling price for 1000 books = $5600 + $700 = $6300

To find selling price for one book, lets divide LHS and RHS by 1000

selling price for 1000/100 books = $6300/1000 = $6.3

Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Just multiply the 1 times 4

Answer:

y=0.5x-4

Step-by-step explanation:

y+3=0.5(x-2)

y+3=0.5x-1

y=0.5x-4

Answer: number 16 is d

number 20 is d

Step-by-step explanation:

Answer:

The answer for 16 is A,  the answer for 20 is D, and the answer for 25 is A

Step-by-step explanation:

For 16, the equation is 6a = 72. 6a is also equal to 6*a. To get a one side by itself, you have to divide both sides by 6.

For 20, it only makes sense for it to be a triangular prism because it has 2 triangles as the base and 3 faces

For 25, you can subtract what was the leftovers from the total number of pizzas. 8 - 1 3/4 - 5/6 is about 5.41, which is closer to 5 so the answer is 5.

Answer: £ 260.78

Step-by-step explanation:

Answer: A line is the undefined geometric term is described as a two-dimensional set of points that has no beginning or end.

Answer:

Step-by-step explanation:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]

or:

is geometric series:  [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]

[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]

so:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]

Answer:

B

Step-by-step explanation:

Edge2021

Answer:

E

Step-by-step explanation:

1/2% is .5% = .5/100 = .005

The required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Given percentage term = 1/2%
Since 1/2 = 0.5, and percent % = 1/100th
Togetherly,
=  0.5/100 = 0.005

Thus, the required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.

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Answer:

B (3,6)

Step-by-step explanation:

y = x + 3

then we will use this y to substitute the other y

4x + y = 18

4x + (x +3) = 18

4x + x + 3 = 18

5x = 18 - 3

5x = 15

x = 15/5 = 3

then we can find the value of y

y = x + 3 = 3 + 3 = 6

so the (x,y) is (3,6)