What is the slope of a line with the equation of 2.5x+5y=20

Answer: This function is linear because it forms a straight line when graphed.

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The number of comic books is an illustration of a linear function

She had 17 comic books already.

So, we have:

[tex]\mathbf{Base\ Amount = 17}[/tex]

Her order of 65 books contains 8 comic books per collection.

So, we have:

[tex]\mathbf{Rate = 8}[/tex]

[tex]\mathbf{Total = 65}[/tex]

This is represented as:

[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]

So, we have:

[tex]\mathbf{8\times b + 17 =65}[/tex]

Rewrite as:

[tex]\mathbf{8b + 17 =65}[/tex]

Subtract 17 from both sides

[tex]\mathbf{8b =48}[/tex]

Divide both sides by 8

[tex]\mathbf{b =6}[/tex]

Assume she has 97 books in her collection, then the equation would be represented as:

[tex]\mathbf{8b + 17 = 97}[/tex]

Subtract 17 from both sides

[tex]\mathbf{8b = 80}[/tex]

Divide both sides by 8

[tex]\mathbf{b = 10}[/tex]

The values of b are 6 and 10.

The difference between 6 and 10 is 4

Hence, the value of b has increased by 4

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Answer:?? I don't understand that sorry, I'm unhelpful

Step-by-step explanation:

Answer:

8y + 6x

Step-by-step explanation:

Combine like terms

   y + 3x +4y + x + 3y + 2x

=  (y + 4y + 3y) + ( 3x + x + 2x)

=    8y + 6x

Answer:

So......cheating eh? jk, the answers 15

Step-by-step explanation:

you plug in 15 for x ==> 2/3 x 15 + 5 = f(15)

simplify ==> 10+5 = f(15)

so f(15) = 15

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

Answer:

Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.

Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.

Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.

Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.

Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:

-2| 1  2  -4  8

   ↓

   1

Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:

-2| 1  2  -4  8

       -2

   1

Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:

-2| 1  2  -4  8

       -2

   1   0

Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:

-2| 1  2  -4  8

       -2  0  

   1  

Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:

-2| 1  2  -4  8

       -2   0  

   1   0   -4

Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

   x2   + 0x    - 4    R 16

x2 - 4 R16

Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).

Step-by-step explanation:

That was quite long, but those are the steps to synthetically divide polynomials.

Answer:

i don't understand

Step-by-step explanation:

Answer:

A=9

b=2.75

POINTS A AND B ARE 9 UNITS APART

Step-by-step explanation:

enjoy hope i get what i was promised :D

Answer:

a and b are 9 units apart

Step-by-step explanation:

Answer:

yes the ratio are equivalent

Answer:

yes they are egivalent

Step-by-step explanation:

Answer:

-4 1/4 , -3 , 3.3, 3 1/3, 4 1/4

Step-by-step explanation:

make all fractions decimals

4 1/4 = 4.25

3 1/3 = 3.33333..

-4 1/4 = -4.25

4.25 , -3 , 3.3 , 3.33... , 4.25

Answer:

21

Step-by-step explanation:

1, 1, 2, 3, 5, 8, 13, 21

The required eighth number in the Fibonacci sequence is 21.

Given that,
1, 1, 2, 3, 5, and 8 are the first six numbers of the Fibonacci sequence. what is the eighth number is to be determined

The sequence is defined as the specific pattern of numbers in which they are arranged.

Here,
given Fibonacci sequence is 1, 1, 2, 3, 5, 8

The Fibonacci numbers, sometimes known as Fn, are a set of numbers in mathematics where each number is the sum of the two numbers before it.
According to the above definition,
7 th number = 5th number + 6th number =
7 th number = 5 + 8 = 13
8th number = 8 + 13 = 21

Thus, the required eighth number in the Fibonacci sequence is 21.

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Answer:

y= 2x-3

when X= -1

y= 2(-1)-3

y= -2-3

y= -5

The value of the given function y=2x-3 is  -5 when x=-1

A function is a correspondence from the two set A to set B in which each element of set A has a unique image in B. Generally we denote a function by f or y.

Here the given function is y=2x-3

Putting x= -1 in the given function y=2x-3 , we get

y= 2(-1) -3

y= -2-3

y= -5

Hence the value of the function y= 2x-3 is -5 when x=-1 .

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Accordingly the answer is Nineteen Fourths.

Answer:

44

Step-by-step explanation:

In other words, the minute hand "overtakes" the hour hand on 44 occasions in 24 hours in order to give a 90 degree angle. Therefore the answer to your question is 44.

Answer:

the answer would be eight

Step-by-step explanation: it would hit the first 90 degree angle when the hour is at twelve and the minutes at 15 then 12 and 45 then 3 and 30 and three and 12 then 6 and 15 and six and 30 then 9 and 30 then 9 and 12 .

Answer:

D

Step-by-step explanation:

In this case, we can define a function as a "relation and the set of ordered pairs that doesn't contain 2 pairs with matching components"

In A above, (3,-2), (2,-1), (3,4), (4,7)

There is a repeat of 3 in both (3, -2) and (3,4) so this can't be considered a function.

B. (0, 4), (1, 2), (1, 0), (2, 3)

There is a repeat of 1 in both (1, 2) and (1, 0), so this is not a function.

C. (2, 5), (3, 8), (4, 11), (4, 12)

4 is repeated in (4, 11) and (4, 12) so this cancel out its probability of it being a function.

D. (1, 7), (2, 5), (3, 6), (4, 1)

D. (1, 7), (2, 5), (3, 6), (4, 1)There is no repeat of components, so this is considered a function.

Answer:  −7

Step-by-step explanation:

Answer:

I believe it should be 3 23

Answer:

  2.5

Step-by-step explanation:

The rate of change can be found from the slope formula.

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find ...

  m = (23 -18)/(-3 -(-5)) = 5/2

The rate of change of the function is 5/2 = 2.5.

Answer:

a - 6%

b - $7.50

Step-by-step explanation:

The answer for a

the only items that had sales tax were $3.00 and $0.50. The total tax for the both was $0.21 so you can find what percent 0.21 is of 3.00 + 0.50 o 3.50. Do this by dividing the percent you are looking for, 0.21, by what it is the percent of 3.50. 0.21 / 3.50 = 0.06. then you multiply the number you got, in this case 0.06 by 100 to find the percentage so it is 6%

The answer for b

Here you can just take the subtotal, $13.00, and subtract all the other prices and you will be left with the price of the top. 13.00 - 3.00 - 2.00 - 0.50 = 7.50. So the answer is $7.50

Answer:

P = a + b + c

P = (8x + 2) + (5x - 4) + (9x + 3)

P = 8x + 5x + 9x + 2 - 4 + 3

P = 22x + 1

I hope this helps.

Answer:

x = 4

y = 12°

Step-by-step explanation:

Since each angles are equal ,

So each angle is 60°.

=> 5y = 60°

=> y = 60/5°

=> y = 12°

Again all sides will be equal ,

=> 5x - 6 = 3x + 2

=> 5x - 3x = 6+2

=> 2x = 8

=> x = 4

Answer:

135%

Step-by-step explanation:

1 dollar is 100 cents. 5 quarters and 1 dime is 5x25 + 10 = 135 cents. 5 quarters and 1 dime would be 135/100 = 135% of 1 dollar.

Answer: x = 3.030631 approximately

Explanation:

If you want to solve for x, then you could follow these steps:

[tex]18 = 1.57*x^{2.2}\\\\18/1.57 = x^{2.2}\\\\11.464968 \approx x^{2.2}\\\\x^{2.2} \approx 11.464968\\\\x \approx (11.464968)^{\frac{1}{2.2}}\\\\x \approx 3.030631\\\\[/tex]

In the second to last step, we have the value 11.464968 raised to the exponent of 1/(2.2) which is done to undo the exponent of 2.2 in the previous line.  The rule used is [tex]a^b = c \to a = c^{1/b}[/tex]

Answer:

11/12 = 132

5/6 = 30

1/5 = 5

All of the numbers after the equal sign, are LCDs of the fraction.

Have a great day friend! :D

Answer:

60

Step-by-step explanation:

Step-by-step explanation:

perimeter =

2(L+B)

=2× (7z+3 +3z+5)

2×10z +8

=20z+16

Answer:

3

Step-by-step explanation:

because 3 is a prime number and 3+2=5 which is also a prime number

Using the principle of probability, the likelihood that Shreya wins by getting 2 blues and 1 red is 0.416

Creating an area model for the first two spinners :

___ G _ B _ B _ R _R _R

R_RG_RB_RB_RR_RR_RR

R_RG_RB_RB_RR_RR_RR

B_BG_BB_BB_BR_BR_BR

B_BG_BB_BB_BR_BR_BR

B_BG_BB_BB_BR_BR_BR

B_BG_BB_BB_BR_BR_BR

G_GG_GB_GB_GR_GR_GR

G_GG_GB_GB_GR_GR_GR

Creating an area model or tree diagram for the third spinner would result in a sample space of (48 × 12) = 576 combinations.

However, the probability that Shreya would win can be obtained thus :

To win he needs to pick get 2 blues and 1 red in any order :

3! = 3 × 2 × 1 = 6 ways

P(BBR) = 1/3 × 4/8 × 5/12 = 0.0694444

P(winning) = 6 × 0.0694444 = 0.416

Therefore, the probability that Shreya wins is 0.416.

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Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months