The graph below shows how the number of donations to a charity affects the expected total value of those donations.
In October, the charity received 60 donations.
If the graph continues in the same way, what is the expected total value of the donations in October?

By substitution, the solution of the system of equations, y = 2x - 1 and 3x - y = -1, is (-2 , -5).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

y = 2x - 1     (equation 1)

3x - y = -1     (equation 2)

Since the first equation is already expressed in y in terms of x, substitute the value of y to the second equation.

3x - y = -1     (equation 2)

3x - (2x - 1) = -1

3x - 2x + 1 = -1

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

3x - 2x + 1 = -1

3x - 2x = -1 - 1

x = -2

Substitute the value of x in the first equation.

y = 2x - 1     (equation 1)

y = 2(-2) - 1

y = -4 - 1

y = -5

Hence, the solution of the given system of equations is (-2 , -5).

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The sequence 3/32, 3/16, 3/8, 3/4, 3/2, 3,6, ... is a geometric sequence with common ratio 2.

To determine whether the sequence is an arithmetic or geometric one, we need to check how the consecutive terms relate to each other.

If it is an arithmetic sequence, then:

  a(n) = a(n-1) + d

where d is the common difference.

If it is a geometric sequence, then:

  a(n) = a(n-1) . r

where r is the common ratio.

The given sequence is:

     3/32, 3/16, 3/8, 3/4, 3/2, 3,6, . . . .

Notice that

a(2) : a(1) = 3/16 : 3/32 = 2

a(3) : a(2) = 3/8 : 3/16 = 2

and so on

Since the ratio of consecutive terms are constant, then the given sequence is a geometric sequence. Furthermore, its ratio, r = 2

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Answer:

the answer would be 20.

Step-by-step explanation:

-

Answer:

[tex](((-2)^{4} )/(-4))-(2*(-3)*(8-4))\\[/tex] = 20

Step-by-step explanation:

breaking into 2 parts:

calculate within parenthesis: [tex](((-2)^{4} )/(-4))[/tex] = 16/(-4) = -4

calculate within parenthesis: (2*(-3)*(8-4)) = (2*(-3)*(4)) = -24

add and subtract (left to right): -4-(-24)=20

Answer: y=-4x/9 + 1/3

Step-by-step explanation:

y=mx + c

**Substitute known variables into the equation**

-1=3m + 1/3

(-1=3m + 1/3)*3      ==> Multiply equation by 3 to get rid of fractions

-3=9m+1

9m=-4

m=-4/9

y=-4x/9 + 1/3

Answer:

x = 56

Step-by-step explanation:

assuming you require to find the value of x

the sum of the exterior angles of a polygon = 360°

sum the 6 exterior angles and equate to 360

x + x + x + 67 + 50 + 75 = 360

3x + 192 = 360 ( subtract 192 from both sides )

3x = 168 ( divide both sides by 3 )

x = 56

Answer:

https://www.calculator.net/volume-calculator.html

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

[tex](x)(x+4) = 32\\x^2 + 4x - 32 = 0\\(x - 8)(x + 4)\\\\x - 8 = 0\\x = 8 \\\\x + 4 = 0\\x = -4\\\\x = 8 \\x = -4[/tex]

8 is the answer as in a measurement there is no negative number.

Answer:

12,000 for college 7.5,000 in car whe he pays around 20k for that

Step-by-step explanation:

Given that

          -8 ≥ -5x + 2 > -38

To find

So, according to the question

we have,

          -8 ≥ -5x + 2 > -38

For finding the solution of this function let's solve it on two part,

First part

          -8 ≥ -5x + 2,    and

Second part

          -5x + 2 > -38

For solution of first part ,

          -8 ≥ -5x + 2,

Add (-2) both side

We will get,

          -8 +(-2)  ≥ -5x + 2 +(-2)

          -8 -2  ≥ -5x + 2 -2

            -10  ≥ -5x

            10  ≥ 5x

Divide 5 both side,

We will get,

            [tex]\frac{5x}{5} \ge \frac{10}{5}[/tex]

             x ≥ 2

Now, for solution of second part,

          -5x + 2 > -38

Add (-2) both side

We will get,

          -5x + 2 +(-2) > -38+(-2)

          -5x + 2 -2 > -38 -2

                   -5x  > -40

                   40  > 5x

Divide 5 both side,

               5x/5  < 40/5

               x  < 8

So, the solution of given function,

            2 ≤ x < 8

Answer:

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Answer:

If a sum of 2 numbers is -7 and one is x then you can write it down as X + Y = -7, or you can write it then ... Let one of the number be represented by x.

The total number of registered voters is 3700.

Percentage can be described as the fraction of a number expressed as an amount out of 100. Percentage is a measure of frequency. The sign that is used to represent percentages is %.

The first step is to determine the percentage of independent voters.

Percentage of independent voters : 100 - (percent of democrats + percent of republicans)

100 - (34% + 25%)

100- 59% = 41%

Total number of voters = number of independent voters / percentage of independent voters

1517 / 41%

1517 / 0.41 = 3,700

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The simplified expression is -3/5.

To simplify the given expression in question, we will solve it step wise. Firstly we will simplify the numerator by performing operation according to the sign. Similar approach will be repeated for the denominator. Then we will write it in fraction form to find the simplified form of expression.

Numerator -

Numerator = 8 - 17

Here subtraction of large number is required form small number, so the result will be subtracted value with negative sign

Numerator = -9

Denominator -

Denominator = 12 - (-3)

Here two negative signs are present, so, we will perform addition and the result will be with positive sign

Denominator = 12 + 3

Denominator = 15

Writing the fraction form -

Expression = -9/15

Dividing the expression by 3

Expression = -3/5

Hence, the simplified expression is -3/5.

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The function which represents the frog population after x years will be F(x) = [tex]1200 * (0.97)^{x}[/tex]

The population is decreasing at an average rate of 3% per year.

For decrease in population, if the rate is decreasing per year is r%, the initial population is P, after time x the equation to use would be:

net decrease = [tex]P * (\frac{100 - r}{100})^{x}[/tex]

r = Reduction

x = time duration

P = 1200

Reduction rate = 100 - 3 = 97%

Reduction rate will be 97% i.e. 0.97

Reduction after one year = 1200 * 0.97

Reduction after two years = 1200 * 0.97 *0.97

                                            = 1200 * (0.97)²

Reduction rate after three years = 1200 * 0.97 * 0.97 * 0.97

                                                      = 1200 * (0.97)³

therefore,

Reduction rate after x years =  [tex]1200 * (0.97)^{x}[/tex]

The function representing the frog population after x years is F(x) =    [tex]1200 * (0.97)^{x}[/tex]

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False , Combining a coin toss and a roll of a die makes a simple event.

In statistics, what does a probability mean?

False , Combining a coin toss and a roll of a die makes a simple event.

A true statement is​ "For data at the interval​ level, you CAN calculate meaningful differences between data​ entries."

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The given expression written in standard form is 4.076008 × 10³

From the question, we are to simplify the given expression in standard form

The given expression is

(4 × 1000) + (7 × 10) + (6 × 1) + (8 × 0.001)

Simplifying

(4 × 1000) + (7 × 10) + (6 × 1) + (8 × 0.001)

(4000) + (70) + (6) + (0.008)

= 4000 + 70 + 6 + 0.008

= 4076.008

In standard form, we get

4.076008 × 10³

Hence, the given expression written in standard form is 4.076008 × 10³

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Given statement 'The sum of two vectors is the resultant.' is True.

We know that in mathematics, a vector is a quantity that has both magnitude and direction but no position.

Examples : velocity, force and acceleration.

Also, the resultant vector is the vector sum of two or more vectors. We find the resultant vectors by  adding two or more vectors together. Any two vectors can be added if and only if they are the same vector quantity.

For vector P = [tex]a\vec i+b\vec j[/tex] and vector Q = [tex]m\vec i+n\vec j[/tex]

The resultant vector R would be,

R = P + Q

R = [tex](a+m)\vec i+(b+n)\vec j[/tex]

Therefore, given  statement 'The sum of two vectors is the resultant.' is True.

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Answer:

Save and exit.

Step-by-step explanation:

Just save and exit

Answer: Click the links slowly read or look over the meterials and then make your file(s)

not sure if i helped -^-

The equation that can be used to represent the cost of oranges and cookies is; 6.58 + 3x = 22.39. Thus, the cost of each bag of orange is x = $5.27

We are given;

Total Amount paid by Mila = $22.39.

Amount Mila paid for cookies = $6.58

Now, we are told that she also buys three bags of oranges. Now, if we denote the cost of each bag of orange to be x, then it means that;

Cost of 3 bags of oranges = $3x

Thus, we can write the equation to represent the cost of oranges and cookies as;

6.58 + 3x = 22.39

Subtract 6.58 from both sides to get;

3x = 22.39 - 6.58

3x = 15.81

x = 15.81/3

x = 5.27

Thus, the cost of each bag of orange is x = $5.27

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Answer: y = 3x/2 + 5/2

Step-by-step explanation:

Write the slope formula m = y2 - y1                                                  

                                                x2 - X1                                                                    

 Substiue { x1 = 2

                 { x2 = -4      Into m =3 -  (-1)

                 {  y1 = -1                      -4 - 2

                { y2 = - 3                                                                                                                            

Calculate and you get m = -2/3

Slope of  the line that is perpendicular to m = -2/3 is m = 3/2

Substitute it: ( 2 - 4 -1 + 3 )

                            2          2

Calculate it 2 - 4

                       2

Simplify -2/2 and you get -1

Calculate -1 + 3

                    2

Simplify it 2/2 and you get 1

Rewrite solutions as coordinates: (-1 , 1)

Substitute     { m = 3/2

                      { x = -1

                      {y = 1

y = mx + b

Calculate 1 = 3/2 x (-1)= b and you get b = 5/2

Lastly Substitute { m = 3/2 into y = mx + b

                             { b = 5/2

Answer: y +3x/2 + 5/2

Answer:

18 + 2y + 6 = 36

2y = 12

y = 6
step explanation:

Since RS bisects AB,

25 - 3x = 2y + 5

25 - 3x = 2(6) + 5 = 12 + 5 = 17

3x = 25 - 17 = 8

x = 8/3

Answer:

I need a picture of the diagram to answer your question.

Step-by-step explanation:

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{1}{3}[/tex] = 2x ( combine fractions on left side )

1 = 2x ( divide both sides by 2 )

[tex]\frac{1}{2}[/tex] = x

Using the definition of the absolute value function, we have that, for item b, the function and breaking points are given as follows:

The function breaks at x = -0.5.

For item c, we have that:

The function breaks x = -3 and x = 0.5.

For item d, we have that: (problem 59)

The function breaks at x = -1.

The graphs are given at the end of the answer.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

In general terms, we have that:

Then, for item b, we have that:

Then:

The function breaks at x = -0.5.

For item c, we have that:

Then:

The function breaks x = -3 and x = 0.5.

For item d, we have that:

Hence:

The function breaks at x = -1.

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The ratio of 12:9 is equal to the ratio of 1/3 to 1/4.

As given in the question,

Given ratio is equal to 12:9

Simplify the given ratio by factorizing it :

12 : 9 = 12 / 9

⇒12 : 9 =  ( 4 × 3 ) /  ( 3 × 3)

⇒ 12 : 9 = 4 / 3

⇒ 12 : 9 = 1 / 3 × 4 / 1

⇒ 12 : 9 = 1 /3 to 1/ 4

Therefore, the ratio of 12 : 9 is equal to the ratio of 1/3 to 1/4.

The complete question is:

The ratio of 12:9 is equal to the ratio of 1/3 to

A. 1/4

B. 1

C. 5/4

D. 2

E. 4

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Answer:

9

Step-by-step explanation:

- 7 (4 - r) = 35

First you need to do the parentheses

-7 times 4 is -28

-7 times -r is 7r

-28+7r=35

add 28 to both sides

7r=63

r=9

Answer:

r=9

Step-by-step explanation:

-28+7r=35, rearrange to put like terms together

7r=35+28, 7r=63, divide both sides by 7 to get r

r=63/7, r=9

mark me brainliest if it helped

Answer: y=4x/3 + 1/3

Step-by-step explanation:

y=mx+c

**Substitute already known variables**

3=2m+1/3=

(3=2m+1/3)*3=      ==> Multiply the equation by 3 to get rid of fractions

9=6m+1

6m=8

m=8/6

m=4/3

y=4x/3 + 1/3

Answer:

X^2 -6x+14

Step-by-step explanation:

Answer:

................................

The required function that has a set of integers as its domain and all integers less than 5 as its range is y = -|x| + 5

Given that,
To draw a sketch of a graph of a function that has a set of integers as its domain and all integers less than 5 as its range.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,

In order to draw the graph of a function that has a set of integers as its domain and all integers less than 5 as its range.
We add
y = -|x|
For the domain to be all integers
Now, adding 5
Y = -|x| + 5

Thus, the required function that has a set of integers as its domain and all integers less than 5 as its range is y = -|x| + 5.

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Answer:

X=least=30

Y=greatest=40