Describe how to transform the graph of f(x)=x2 to obtain the graph of the related function g(x)=−2(x+1)2+1. Then draw the graph of g(x).

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

Explanation:

Let x and y be two positive whole numbers. They may or may not be equal.

The first bag has the ratio of red to blue as 3:5, which scales up to 3x:5x after multiplying both parts by x. We have 3x red and 5x blue.

The second bag has the ratio 3:2 which scales up to 3y:2y. This bag has 3y red and 2y blue.

We can make a handy table to keep track of all the expressions

[tex]\begin{array}{|c|c|c|}\cline{1-3}\text{ } & \text{Red} & \text{Blue}\\ \cline{1-3}\text{bag 1} & 3x & 5x\\ \cline{1-3}\text{bag 2} & 3y & 2y\\ \cline{1-3}\end{array}[/tex]

Based on that, we can then say:

Effectively, I added down along each column of that table.

Divide the two expressions for R and B to lead to the fraction 11/9, which is directly from the ratio 11:9

So,

(total red)/(total blue) = 11/9

R/B = 11/9

(3x+3y)/(5x+2y) = 11/9

---------------------

Let's cross multiply and then solve for y

(3x+3y)/(5x+2y) = 11/9

9(3x+3y) = 11(5x+2y)

27x+27y = 55x+22y

27y-22y = 55x-27x

5y = 28x

y = 28x/5

y = (28/5)x

y = 5.6x

We'll keep this in mind for later.

---------------------

Now let:

Recall that we had 3x red and 5x blue for the first bag. That means we have 3x+5x = 8x marbles in the first bag. Therefore, F = 8x.

Also, we had 3y red and 2y blue for the second bag.

So we have S = 3y+2y = 5y

Then we can apply further substitution to say

S = 5y

S = 5(5.6x) .... plug in y = 5.6x

S = 28x

---------------------

In short,

for some positive whole number x. We don't have enough info to pin down what x is exactly; however, it doesn't really matter. This is because the x variable will cancel when dividing F over S

F/S = (8x)/(28x) = 8/28 = 2/7

The fraction 2/7 leads directly to the final answer of the ratio 2:7

In other words, the ratio 8x:28x simplifies fully to 2:7 after dividing both parts by 4x.

The ratio between the total marbles of the first bag and the second bag is 2:7.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x marbles in the first bag.

red marbles = 3x

blue marbles = 5x

y marbles in the second bag.

red marbles = 3y

blue marbles = 2y

Now,

Total red marbles in both bags.

3x + 3y = 11 _____(1)

3x = 11 - 3y

x = (11 - 3y) / 3

Total blue marbles in both bags.

5x + 2y = 9 ______(2)

From (1) and (2) we get,

Multiply 2 in (1).

6x + 6y = 22

6y = 22 - 6x _____(3)

Multiply 3 in (2)

15x + 6y = 27 ______(4)

Putting (3) in (4)

15x + 22 - 6x = 27

9x = 27 - 22

9x = 5

x = 5/9

Now,

x = 5/9 in (3)

6y = 22 - 6(5/9)

6y = 22 - 10/3

6y = (66 - 10)/3

y = 56/18

y = 28/9

Now,

First bag.

Red marbles = 3x = 3 x 5/9 = 5/3

Blue marbles = 5x = 5 x 5/9 = 25/9

Total marbles = 5/3 + 25/9 = (15 + 25)/9 = 40/9

Second bag.

Red marbles = 3y = 3 x 28/9 = 28/3

Blue marbles = 2y = 2 x 28/9 = 56/9

Total marbles = 28/3 + 56/9 = (84 + 56)/9 = 140/9

Now,

The ratio between the total marbles of the first bag and the second bag.

= 40 :140

= 4:14

= 2:7

Thus,

The ratio is 2:7.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

They paid 247 dollar.

Step-by-step explanation:

They paid 247 dollar

Answer:

Step-by-step explanation:

1 student paid 6.50

25 students paid x

1/25 = 6.50 / x                     Cross multiply

x = 25 * 6.50

x = 162.50  

The total for all 25 came to 162.50 dollars.

Answer:

13.

We already have two angles, so we will just need another side to be equal to prove they are congruent. Any side will do (JK and MO lets say, which is the ASA congruency identity)

14.

The sides JL and DF differ in length (JL is longer than DF), so that proves why SSA identity (c'mon you know why i didn't write A... nvm) does not exist, as there can be two possible lengths for the last side.

Answer:

1.   slope = 6,  y-intercept = 11

2.  slope = 1,  y-intercept = 6

Answer:

you are correct

Step-by-step explanation:

6 is the slope and 11 is the y-intercept

1 is the slope and 6 is the y-intercept

Answer:

w^2z^4/y^2

Step-by-step explanation:

Answer:

-8 or 8

Step-by-step explanation:

We are given the absolute equation:

[tex]\displaystyle \large{4|x|=32}[/tex]

First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]

Absolute Value Definition

[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]

So from |x| = 8, break into two intervals/conditions.

(1) when x ≥ 0

x = 8

(2) when x < 0

-x = 8

x = -8

From (1) and (2), the solution to 4|x| = 32 is 8 or -8

Answer:

768x4%= 30.72

His commission was $30.72

Step-by-step explanation:

Answer:

it is Ahmed shoevked more your calculations are wrong

Answer: I hope this helps! :)

x = -3

Answer: x=-3

Answer:

Step-by-step explanation:

Conclusion:

Therefore, x = -3

Hoped this helped.

[tex]GeniusUser[/tex]

Answer: I can help!

The answer is (B)

The answer is (B) because if you take 921 and remove all the other zeros which are just place holders, you get 9 move in the decimal and now there is 9.21 then you see how many zeros there are ans that gives you 3.

For the second one the answer is (A)

If you were to look up how much 2000% is you would get 20% so therefore that is the answer.

I hope you do good!

My apologies if anything is wrong.

Answer:

but what if it is a virus?

Step-by-step explanation:

Answer:

isnt oit iron pick

Step-by-step explanation:

Answer:16

Step-by-step explanation:

144^0.5 = 12

400^0.5 = 20

a^2=b^2+c^2

20^2 = 12^2 +x^2

x^2 = 400-144= 256

x =16

Answer:

16

Step-by-step explanation:

Answer:

T, Q, and R

Step-by-step explanation:

These points are all on the same line, making them collinear.

I hope this helps!!

Answer:

70

Step-by-step explanation:

Given -

the least common denominator of 10 and 14 is - *70*

Prime factor of 14 are 2 and 7

14 = 2 * 7

Prime factor of 10 are 2 * 5

10 = 2 * 5

Now Multiplying the highest exponent prime factor to calculate the LCM of 14 and 10

LCM (10,14) = 2 * 5 * 7

LCM (10,14) = 70

Answer:

can you add the options that would help

Step-by-step explanation:

vvvv

Given info:- In ∆ABC, right-angled at c in which AB = 10in, BC = 26 in and we have to find out the measure of AC = ?

Explanation:

In right angled ∆OCB, AC ⟂ CB,

AB² = AC²+CB²

[By Pythagoras theorem]

(10)² = AC²+(26)²

10*10 = AC²+(26*26)

100 = AC²+676

AC² = 676-100

AC² = 576

AC = √(576)

AC = 24 in.

Hence, the measure of right-agled in which AC is 24 in.

also read similar questions: riangle ABC and XYZ are similar. If AB = 6 in., BC = 13 in., AC = 14 in., and XY = 10in., what is XZ?.....

https://brainly.com/question/23099606?referrer

In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?....

https://brainly.com/question/4503604?referrer

Answer:

1, 2, 10 i think this is correct

Answer:

Step-by-step explanation:

You answer the question by understanding what the problem statement is telling you.

The double number line shows that 2 1/2 bananas make 1 loaf of bread.

The first blank is filled with 1.

__

You notice the number of bananas on the second line of the table is double the number on the first line: 5 = 2 × (2 1/2). That means the number of loaves that can be made is 2 × 1 = 2.

The second blank is filled with 2.

__

You notice the number of loaves on the third line of the table is double the number of loaves you just filled in on the second line. That means the number of bananas required is double the number listed on the second line.

  2 × 5 = 10

The third blank is filled with 10.

Answer:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = [tex]\sqrt{x^2+y^2}[/tex]

Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]

So we have:

x = 3

y = 1

r = [tex]\sqrt{10}[/tex]

Now we can calculate all 6 trig, functions:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Answer:

The answer should be A......

Answer: 4708

Step-by-step explanation:

That's what we know:                  

Plan and substitute:

Work out the item or remainder:

Work out the aggregate or contrast:

Work out the item or remainder:

Reply:

These are just the step sorry couldn't find any way to help so I recommend to use gauth math but the thing is gauth math some of the answer is incorrect so tried to use it if it help

Answer:

B

Step-by-step explanation:

Depends on what you change. If you change the number of electrons or neutrons, it will still be the same element. It will just become a charged ion or an isotope respectively. If you change the number of protons, it will become a different element.

Hope that helps

Answer:

5 is the answer

please mark as brainlist

thank you

Answer:

[tex]i[/tex][tex]\sqrt{30}[/tex]

Step-by-step explanation:

[tex]\sqrt{-30}[/tex]

= [tex]\sqrt{30 * -1}[/tex]      

= [tex]\sqrt{30} * \sqrt{-1}[/tex]   Separate the two numbers into 2 radicals.

= [tex]i\sqrt{30}[/tex]             Simplify, knowing that [tex]i = \sqrt{-1}[/tex].

Answer:

B.) the number of tents the army orders

Step-by-step explanation:

The word problem does not speak of any prices or tent sizes so it cant be A or C

Answer:

its B

Step-by-step explanation:

Answer:

$1 dollar and $0.90cents

Step-by-step explanation:

From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.

= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)

We've to expand the functions and this will be:

= -2a + 10 - 3a - 15b + 6 + 6b - ab

Collect like terms

= - 2a - 3a - 15b + 6b + 10 + 6 - ab

= -5a - 9b + 16 - ab

Therefore, the expression is equivalent to 5a - 9b + 16 - ab.

Learn more about equations on:

https://brainly.com/question/13763238

Answer:

√

4

x

5

√

(

x

−

1

)

2

−

3

2

+

3

y

−

3

Step-by-step explanation:

√

4

x

5

√

(

x

−

1

)

2

−

3

2

+

3

y

−

3

Answer:

868,412 visitors

Explanation:

434,206 x 2 (double)