Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)

Answer:

81

Step-by-step explanation:

y= x²

if x= 9 substitute x with 9 in the equation

y= 9² = 81

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

[tex]\dfrac{35}{7}=5[/tex]

[tex]\dfrac{70}{14}=5[/tex]

[tex]\dfrac{105}{21}=5[/tex]

[tex]\dfrac{140}{28}=5[/tex]

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

[tex]\dfrac{y}{x}=k[/tex]

Here, k=5.

[tex]\dfrac{y}{x}=5[/tex]

[tex]y=5x[/tex]

Hence the rate of change is constant that is 5.

Answer:

Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.

Step-by-step explanation:

Answer:

W = x^2 - 2yz / - w

0 = x^2 - 2yz - w / +2yz

2yz = x^2 - w // 2z

y = (x^2 -w ) / 2z

So correct answer is D

Answer:

The answer is D.

Step-by-step explanation:

Answer:

i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

Step-by-step explanation:

Tickets numbers are: 4, 5, 6......48, 49

So, total tickets in box = 46

We need to find probability that the number on the ticket is:

i) an even number.

Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48

Total number of favourable outcomes = 23

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 23

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]

So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) A number less than 16

Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15

Total number of favourable outcomes = 12

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 12

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]

So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) a perfect square

Perfect squares are: 4,9,16,25,36

Total number of favourable outcomes = 5

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 5

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]

So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv)  a prime number less than 30.

Prime numbers less than 30 are: 5,7,11,13,17,19,23,29

Total number of favourable outcomes = 8

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 8

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]

So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

Answer:

-6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: 11/12

Step-by-step explanation:

7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:

7/12 + 4/12 = 11/12

11/12 is in simplest form, so that should be correct! Hope this helps! :)

Step-by-step explanation:

Hi so are we dating?????

Answer:

Step-by-step explanation:

i=prt

your p=30 dollars

rate is 10%

t=1 year

i=(30*0.01*1)=3

3 dollars

Answer:

-7

Step-by-step explanation:

7n+5=-44

-5 - 5

7n=-49

7/7 -49/7

n = -7

Answer:

The variance is doubled; C

Step-by-step explanation:

Here, we want to select what will be wrong if every number in the dataset is doubled

A. This is correct

The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers

By doubling the numbers, we have simply doubled the sum while the count is same

So what we have as the result of the division will be 2 times what we had initially making the mean doubled

B. The mode is doubled

Yes, this is correct

The mode is the highest in frequency

Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled

D. The median is doubled

This is correct

The median deals with the middle number.

Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly

C. This is wrong

The variance has to do with the spread of data

We are actually subtracting values

Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change

We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.

Answer:

There should be a table with the values of x  to find Y or vice versa, it depends.

Step-by-step explanation:

it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?

for example, if you are given x as 2 then, to find Y will be:

Y =2(2) + 3

Y = 7

Answer:

They multiplied the exponents instead of adding.

Step-by-step explanation:

Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6

Answer:

when it says times it doesn't mean times the powers it means add

basically the first one is correct

Step-by-step explanation:

hey i hope this helps idk if its clear enough but yeah

Answer:

Step-by-step explanation:

12.

13. Yes it is propoitinal because they are even

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

high specific heat, which results in slow, small changes in water temperature

Step-by-step explanation:

Got it right on edge

Answer:

D. high specific heat, which results in slow, small changes in water temperature  

Step-by-step explanation:

got it right on edge

Answer:

C. x = 1 + 3i or x = 1 - 3i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

x² - 2x + 10 = 0

Step 2: Identify Variables

a = 1

b = -2

c = 10

Step 3: Find roots

Answer:

-1/3

Step-by-step explanation:

join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join

Answer:

A

Step-by-step explanation:

Okay.

A negative exponent means we want to "flip" the term.

so we get

(1/-c^2)^1/3

When we get a fraction exponent, we want to "root" the term by that

so we get

[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]

Which simplifies to

[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]

Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]

Answer:

5x +2y =38

5(6) +2y = 38

30 +2y= 38

2y= 8

y= 4

(6, 4)

5(0) +2y =38

2y= 38

y= 19

(0,19)

5(-2) +2y= 38

-10 +2y =38

2y= 48

y=24

(-2,24)

Answer:

The first one and the second one

Step-by-step explanation:

I hope that this helped