On a piece of paper, graph y+4<1/2 x - 2. Then determine which answer
choice matches the graph you drew
.
A. Graph A
B. Graph B
C. Graph
D. Graph D

Answer:

If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable  y .

y ≈ 2.45043159

Step-by-step explanation:

The expression (y⁴ - 81) / (y - 3) simplifies to (y + 3)(y² + 9) after factoring and canceling common terms.

expression (y⁴ - 81) / (y - 3)

by simplification

factoring the numerator

y⁴ - 81 = (y²)² - 9² = (y² - 9)(y² + 9)

factoring the denominator

y - 3

we get, (y² - 9)(y² + 9) / (y - 3)

simplifying

(y² - 9) = (y - 3)(y + 3)

(y - 3)(y + 3)(y² + 9) / (y - 3)

(y + 3)(y² + 9)

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Answer:

120

Step-by-step explanation:

There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

Here, We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Hence, we can use the permutation formula:

P (n, k) = n! / (n - k)!

P (6, 3) = 6! / (6 - 3)!

P (6, 3) = 120

Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

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Answer:

£80

Step-by-step explanation:

If there are 5 days in a work week, and he earns £400 for the whole week, you would divide £400 by 5. You get 80, so Dan earns £80 each day.

Answer:

£80

Step-by-step explanation:

divide £400 by 5

400/5 = 80

Answer:

0

Step-by-step explanation:

The slope of any horizontal line will be zero.

Answer:

slope = m = rise/run = 0/8 = 0

Step-by-step explanation:

Well rise/run is how much it rises over how much it runs.

Note it rises by 0 so 0 on top,

Therefore;

no matter it be 0/1 or 0/1241213261238126836128361  the rise/run also known as slope is always gonna be 0

Reasoning:

0 divided by anything is always 0

Hope this helps

Answer:

2.8

Step-by-step explanation:

It is the same

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[tex] {3}^{12} \div {3}^{7} = [/tex]

[tex] {3}^{12} \times {3}^{ - 7} = [/tex]

[tex] {3}^{12 - 7} = {3}^{5} [/tex]

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Answer:

I think the answer is 243.

Step-by-step explanation:

hope that helps

Answer:

Step-by-step explanation:

We have

[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]

[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]

[tex]x = 2.929947041[/tex]

to the third decimal is 2.930 (i might be wrong on the rounding part)

Answer:

f(1)=11,f(n)=f(n-1)+1

Answer:

I'm not 100% if its right but I think its 4:2.

Step-by-step explanation:

Answer:

the closest one i think is 4:3(dont get mad at me if its wrong)

Step-by-step explanation:

Answer:

Up left, down right

Step-by-step explanation:

First, polynomials with odd degrees will have end behaviors in two different directions.

Since the leading coefficient is negative, the end behavior will be up left and down right.

So, the end behavior is up left, down right.

The end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

We have to determine

The end behavior of a 9th-degree polynomial with a negative leading coefficient??

If the leading coefficient is negative and the exponent of the leading term is even, the graph falls to the left and right.

The equation of the 9th-degree polynomial is;

[tex]\rm x^9+3x^8+4x^7+x^6+x^5+9x^3+2x^2+x+1=0[/tex]

The degree of the polynomial is 9 which is odd.

Hence, the end behavior of a 9th-degree polynomial with negative leading coefficients is up left, downright.

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Answer:

3 times more

Explanation:

3/4 is 3 times larger than 1/4 of the water bottle filled

Answer:

P=90

q=122

Step-by-step explanation:

Answer:

13 percent

Step-by-step explanation:

Single decimal multiplier used to decrease by 7% followed by a 20% decrease is 0.744.

A percentage multiplier is a number which is used to calculate a percentage of an amount or used to increase or decrease an amount by a percentage. In order to use a percentage multiplier to calculate the percentage of an amount, convert the percentage to a decimal by dividing by 100 ; this is the decimal multiplier.

Given,

First decrease = 7%

Second decrease = 20%

Let a number be x.

If x is decreased by 7% then the value of the number is

( (100 - 7) / 100) × x = 0.93 x

Again if 0.93 x is decreased by 20% then the value of the number      ((100 - 20) /100) × 0.93 x = 0.744 x

Hence, The single decimal multiplier is 0.744.

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Answer: 22 gallons of gas.

The amount of gas needed to travel 330 miles will be 36.67 gallons.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

A van travels 180 miles on 12 gallons of gas. Then the rate is given as,

Rate = 20 / 180

Rate = 0.1111 gallons per mile

At that rate, the amount of gas needed to travel 330 miles will be given as,

⇒ 330 x 0.1111

⇒ 36.67 gallons

The amount of gas needed to travel 330 miles will be 36.67 gallons.

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Answer:

9)900

10)40,320

Answer:

because two angles are equal

Answer:

B: 17.60

Step-by-step explanation:

No one reads these but I did m a t h

Answer:-6

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

suppose;  three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)

because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers

=> 5(x + 2) = 3( x +x +4) - 13

<=> 5x + 10 = 6x + 12 - 13

<=>6x - 5x = 10 + 13 - 12

<=> x = 11

=> the largest odd number is 11 + 4 = 15

The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15

Let the integers be : a, a + 2, a + 4

Creating a mathematical equation using the scenario given.

5(a + 2) = 3(a + (a + 4)) - 13

Open the bracket bracket

5a + 10 = 3(2a + 4) - 13

5a + 10 = 6a + 12 - 13

5a + 10 = 6a - 1

Collect like terms

5a - 6a = - 1 - 10

-a = - 11

a = 11

The largest integer = a + 4 ; 11 + 4 = 15

Therefore, the largest of the consecutive odd integers is 15

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Answer:

The slope equation says that the slope of a line is found by determining the amount of rise of the line between any two points divided by the amount of run of the line between the same two points. In other words, Pick two points on the line and determine their coordinates.

Step-by-step explanation:

A coefficient of r = -1 is a negative so the dots would move downward as they move to the right ( higher dots are on the left side, lower dots on the right side. As the coefficient gets closer to -1 the dots form more of a straight line then being scattered across the graph.

The last graph, which is marked with the blue dot is the correct one.

The last scatterplot (option D) has a correlation coefficient closest to r = -1.

For given situation,

When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.

i.e., it must have negative correlation coefficient.

If we observe the last scatterplot i.e., option (D), then it must have negative correlation coefficient.

Therefore, the correct answer is option (D)

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Answer:

[tex]\frac{80}{370}[/tex] OR [tex]\frac{8}{37}[/tex]

Step-by-step explanation:

So first you find the difference between the new cost and the old cost:

450 - 370  = 80

So the increase was 80.

When you write it as a fraction you write the increase ( 80 ) over the starting cost ( 370 ).

Thus the answer becomes [tex]\frac{80}{370}[/tex]

But you can always reduce it to its lowest terms thus:

[tex]\frac{8}{37}[/tex]

HOPE THIS HELPED

Answer:

I believe the answer is 90

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

Calculate whether an angle is 90 degrees using the Pythagorean Theorem. This well-known theorem is often phrased as "A squared plus B squared equals C squared," which indicates that the sum of the squares of lengths of the adjacent sides of a right triangle is equal to the square of the length of the hypotenuse side.

9514 1404 393

Answer:

  2(x+1)

Step-by-step explanation:

  x . . . I think of a number

  x +1 . . . add 1

  2(x +1) . . . double the result

Answer:

x = -20

Step-by-step explanation:

2(x+7) 2x + 20  - 2 =  x+4  2x + 8

2x+14 + 2x + 20 - 2 = x + 4 + 2x + 8

4x +32 = 3x + 12

x = -20

Answer:

$117.14

Step-by-step explanation:

A "sales tax" refers to a specific amount of money (according to its percentage) that you need to pay other than the price of the good stated.

So, if the price of the smart watch is $109.99 and the sales tax is 6.5%, you have to know much is 6.5% of $109.99. This can be computed by using the multiplication operation.

109.99 x 6.5% (0.065) = $7.15 (this is the sales tax)

In order to know the total cost of the smart watch, you have to add the sales tax to the price of the smart watch.

$109.99 + $7.15 = $117.14

The total cost of the smart watch is $117.14

Answer:

$117.14

Step-by-step explanation:

I toke the quiz and a k12 student.

Answer:

i think i think its B

Step-by-step explanation:

Answer:

x = 20

y = 100

Step-by-step explanation:

To figure out x do this.

3x + 2x = 7x - 40 (collect like terms)

5x = 7x -40 (subtract 7x on both sides)

-2x = -40 (divide by -2 on both sides)

x = 20

Plug in to get y

Since 7x - 40 and y are vertical they equal the same amount

7(20) - 40 = y (multiply 7 by 20)

140 - 40 = y (collect like terms)

100 = y

Hope this helps ya! Keep smiling!