Identify the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ...

Answer:

13 or 30

Step-by-step explanation

Answer:

down below:)

Step-by-step explanation:

sale price    discount

                    1. multiplied by 0.82

                    2. multiplied by 0.75

                    3. multiplied by 0.9

1. 18.45

2. 30

3.  23.4

Answer:

ab = -2 * 3 = -6

Step-by-step explanation:

The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have:

First expression:

[tex]\rm 4x^2-4x+10[/tex]

Second expression:

[tex]\rm 2x^2+5x-8[/tex]

Let's denote the sum of these two expressions with F(x)

[tex]\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2[/tex]

Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

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Answer:

the answer is $20.33 I hoñe it helps

Answer:

25 a squared

Step-by-step explanation:

please give me a brainliest!!<3

Answer:

It's just y2-y1 over x2-x1

Step-by-step explanation:

so pick a coordinate and make it 1 and make the other one 2  and put in the numbers.

The slope of the line will be m = -1/9.

        y = mx + c

        [m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

        [c] → is the y - intercept i.e. the point where the graph cuts the [y] axis

Other possible equations of line are -

We have a line through (9, 4) and (0, 5).

The slope of the line will be -

[m] = (4 - 5)/(9 - 0)

[m] = - 1/9

Therefore, the slope of the line will be m = -1/9.

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Answer:

it's answer is C 90

hope it helps you

Answer:

the answer is 90

I hope it helps mate

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

Answer:

A. 9

Step-by-step explanation:

A P E X

Step-by-step explanation:

Do you need answers to all of them of some of them?

1. (4.5×10¹²)÷(9×10^10)

(45×10^-1×10¹²)÷(9×10^10)

(45×10¹¹)÷(9×10^10)

(45÷9)×(10¹¹÷10^10)

5×10

if you need help with the others kindly let me know

Answer:3*3*3*3*3=243

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

0.8%

Step-by-step explanation:

Number of people had mild allergic attack = 72

% of people who had mild allergic attack = 72/9000 × 100%

                                                               = 0.8%(Answer)

Answer: x=6.8

Step-by-step explanation:

I figured it out ;)

Answer:

x=6.889

Step-by-step explanation:

9x=62

x=62/9

x=6.889

Step-by-step explanation:

x=3g+2

you need to move the equation to the other side, first you'd start with the one furtherest from g, which is is 2.

x = 3g

-2. - 2

and minus it from both sides

x-2=3g

3g is like 3x, which is 3 times x and you need to use the opposite operators so times would become divide.

so now it becomes x-2 over 3=g

77.5-2.27 is equal to 75.23

hope it helps

The difference of our given numbers between 77.5 and 2.27​ is 75.23.

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We are asked to find the difference between  77.5 and 2.27​

Upon converting our given problem as a subtraction problem, we will get:

77.5

-   2.27

Upon subtracting our given numbers, we will get;

77.5

-   2.27

75.23

Therefore, the difference of our given numbers between 77.5 and 2.27​ is 75.23.

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Answer:

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

Step-by-step explanation:

Given

[tex]Apple = 1/4[/tex]

[tex]Orange = 2/5[/tex]

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

[tex]Cranberry + Apple + Orange = 1[/tex]

Substitute values for Apple and Orange

[tex]Cranberry + 1/4+ 2/5= 1[/tex]

Collect Like Terms

[tex]Cranberry = 1- 1/4- 2/5[/tex]

Take LCM

[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]

[tex]Cranberry = \frac{7}{20}[/tex]

The ratio is then represented as:

[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]

Multiply through by 20

[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]

[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

Answer:

Step-by-step explanation:

Given the expression

[tex]\left(x+5\right)^2-10=0[/tex]

Add 10 to both sides

[tex]\left(x+5\right)^2-10+10=0+10[/tex]

Simplify

[tex]\left(x+5\right)^2=10[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

solve

[tex]x+5=\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=\sqrt{10}-5[/tex]

[tex]x=\sqrt{10}-5[/tex]

[tex]x=-1.8[/tex]

so

[tex]x+5=-\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-\sqrt{10}-5[/tex]

Simplify

[tex]x=-\sqrt{10}-5[/tex]

[tex]\:x=-8.2[/tex]

As -1.84 > -8.16

so

Answer:

where are the answer choices

Answer:

The statement that is accurate is:

"Her principal is the cost of the car, minus any down payment she makes."

Step-by-step explanation:

Answer:

rteiyykykkucouyrilhk,dkrbbvvbnkl

Answer:

26 is the answer :) plz brainliest?

Step-by-step explanation:

2(10) + 6

20+6

26 :)

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

x + 32 =[tex]\sqrt{2500}[/tex] = 50 ( subtract 32 from both sides )

x = 18 → A

Answer:

n=15

Step-by-step explanation:

300/20=15

n=15

Answer:

n = 15

Step-by-step explanation:

I took 300 and divided it by 20 to find n.

300 / 20 = 15

To check the answer, I completed this;

20(15) = 300

300 = 300

Hope this helps!

Answer:

$200. had to edit, read the question wrong originally

=======================================================

Work Shown:

If you save 64%, then you still have to pay the remaining 100% - 64% = 36%

x = original price in dollars

sale price = 36% of x = 0.36*x = 72

0.36*x = 72

x = 72/0.36

x = 200

The original price is $200

discount = 64% of 200 = 0.64*200 = 128

You save $128

The amount you pay is 200-128 = 72 dollars, which matches with the given sale price.

Answer:

Red

Step-by-step explanation:

Bc if you - 8x it would be -2y=12-8x and then you divide -2 by 12 and -8x the answer would be y=4x-6

Answer:

y = 4x - 6

Step-by-step explanation:

8x - 2y = 12

-2y = -8x + 12

-2y/-2 = -8x/-2 + 12/-2

y = 4x - 6

Answer: C. 1 - x

Step-by-step explanation:

1/100 = 0.01

10/100 = 0.1

1 - 100 = -99

10 - 100 = -90

Answer:

C

Step-by-step explanation:

A. 1/100

B. 10/100=1/10

C. 1-100=-99

D. 10-100=-90

Answer:

1) I would remove the '-2' first by adding '2' to both sides. Technically, it does not matter the order you remove the '5' or '-2' though it would be more of a hassle if you were to remove the number associated w/ a variable as you would do extra steps when there is a possibility to do it in less steps. So, ideally, it does matter but depending on your perspective.

2) You would begin by turning '1' into a fraction that has the same denominator as the fraction it is to be added to. This would get you 7/7. Then, you add 7/7 to 4/7 in order to get your final answer of 11/7. You could also just put the two numerical values together as '1 4/7' but I am inferring they want it in an improper fraction format. The steps to get an improper fraction are ideal since it is the simplest way to get to the final answer.

If you have any more questions please comment them and I will be happy to answer them if I can ^^