Solve For x
\( \tt \red{4x + 2 = -8}\)







Thank uh ~​

Therefore, out of the 24 students that Blake interviewed, 9 of them participate in sports.

An equation is a mathematical statement that indicates that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign "=" which means that the two expressions have the same value.

Here,

According to the table, Blake interviewed a total of 24 students. To find out how many of these students participate in sports, we need to add up the number of students who collect sports cards and participate in sports, as well as the number of students who do not collect sports cards and participate in sports. So:

Total students who participate in sports = Number of students who collect sports cards and participate in sports + Number of students who do not collect sports cards and participate in sports

Total students who participate in sports = 6 + 3

Total students who participate in sports = 9

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

The compound interest rate of the investment is 1.10%

The given parameters about the compound interest are

Principal, P = $11,000

Amount, A = $20,000

Time, t = 9

Number of times, n = 12 i.e. monthly interest

To calculate the amount, we have:

A = P(1 + R/n)^nt

Substitute the known values in the above equation, so, we have the following representation

20000 = 11000 * (1 + r/12)^(12 * 9)

This gives

1.82 = (1 + r/12)^108

Take the 108th root of both sides

1 + r/2 = 1.0055

Subtract 1 from both sides

r/2 = 0.0055

Multiply by 2

r = 0.011

Express as percentage

r = 1.10%

Hence, the value of the interest rate is 1.10%

Read more about compound interest at:

https://brainly.com/question/2455673

#SPJ1

Answer:

6.66%

Step-by-step explanation:

Compounded Monthly:

�

=

�

(

1

+

�

�

)

�

�

A=P(1+

n

r

​

)

nt

Compound interest formula

�

=

20000

�

=

11000

�

=

9

�

=

12

A=20000P=11000t=9n=12

Given values

20000

=

20000=

11000

(

1

+

�

12

)

12

(

9

)

11000(1+

12

r

​

)

12(9)

Plug in values

20000

=

20000=

11000

(

1

+

�

12

)

108

11000(1+

12

r

​

)

108

Multiply

20000

11000

=

11000

20000

​

=

11000

(

1

+

�

12

)

108

11000

11000

11000(1+

12

r

​

)

108

​

Divide by 11000

1.8181818

=

1.8181818=

(

1

+

�

12

)

108

(1+

12

r

​

)

108

(

1.8181818

)

1

/

108

=

(1.8181818)

1/108

=

[

(

1

+

�

12

)

108

]

1

/

108

[(1+

12

r

​

)

108

]

1/108

Raise both sides to 1/108 power

1.0055509

=

1.0055509=

1

+

�

12

1+

12

r

​

−

1

−1=

−

1

−1

Subtract 1

0.0055509

=

0.0055509=

�

12

12

r

​

12

(

0.0055509

)

=

12(0.0055509)=

(

�

12

)

12

(

12

r

​

)12

Multiply by 12

0.0666108

=

0.0666108=

�

r

6.66108

%

=

6.66108%=

�

r

Convert to percent (multiply by 100)

�

≈

r≈

6.66

%

6.66%

Round to the nearest hundredth of a percent

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

A piece of material measures 38 inches.

Courtney cuts the piece of material into two pieces.

One piece measures 19 inches.

Let x be the length of other pieces.

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x

Therefore, 19 + x = 38 is an addition equation.

To learn more about the addition;

brainly.com/question/29464370

#SPJ1

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

Learn more about Volume here:

https://brainly.com/question/13338592

#SPJ1

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.

Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).

The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.

For more questions on: function

https://brainly.com/question/29631554

#SPJ8        

Answer:

f#*k

Step-by-step explanation:

gfsgfdruerrrrrs

The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

For more questions on Pythagorean theorem, click on:

https://brainly.com/question/231802

#SPJ8

Answer:

i think it's b4

Step-by-step explanation:

Answer:

Where is the table?

Step-by-step explanation:

Answer:

Step-by-step explanation:

11L - 42 = 4L

       7L = 42

         L = 6

Answer:

Jack $1800 Blake $7400

Step-by-step explanation:

The solution of the given system of equations is (-1, -2).

We are aware that a linear system of equations can be solved using a substitution method.

The intersection of the two lines represents the system's solution.

The given equations are-

y = 3x+1 ...eq 1

y = -2x-4  ...eq 2

Put the value of eq 1 in eq2 .

3x+1  = -2x-4

3x + 2x = -4 - 1

5x = -5

x = -5/5

x = -1

Put the x in eq 1.

y = 3(-1)+1

y = -2

Thus, the solution of the given system of equations is (-1, -2).

To know more about the substitution method, here

https://brainly.com/question/22340165

#SPJ1

The complete question is-

What is the solution to the system of equations-

y=3x+1 ;

y=-2x-4

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

Answer:

x = -3 +/- square root(22)

Step-by-step explanation:

x = -b +/- square root(b^2 - 4ac) / 2a

ax^2 + bx + c = 0

these are both the quadratic formula but one is solved for the x and another for 0

a= 1

b= 6

c = -13

x= -6 +/- square root( 6^2 - 4(1)(13)) / 2(1)

x = -6 +/- sqrt( 36 + 52) / 2

x= -6 +/- sqrt (88) / 2

sqrt of 88 = 2 x sqrt (22)

divide 2 on each

x= -3 +/- sqrt (22)

Answer:

how can i help also comment me i wanna talk bc im lonely lol

Step-by-step explanation:

The cost of one dog collar and one dog leash are 10.25 dollars and 14.5 dollars respectively

let

the cost of each dog collars = x

the cost of each leashes = y

Therefore,

3x + 2y = 59.75

x + 3y = 53.75

Hence,

3x + 2y = 59.75

3x + 9y = 161.25

7y = 101.5

y = 101.5 / 7

y = 14.5

Therefore,

x + 3y = 53.75

x + 3(14.5) = 53.75

x = 53.75 - 43.5

x = 10.25

learn more on equation here: https://brainly.com/question/12060253

#SPJ2

Answer:

\(\frac{13}{5}\) pints of paints are left together

Step-by-step explanation:

Given

Number of pints of paint with Maria \(= 4\)

Number of pints of paint with Emme \(= 4\)

On the first day , Maria used \(\frac{3}{5}\) of her \(4\) pints of paints

Hence, Paint left after first day with Maria

\(= 4 - (\frac{3}{5} * 4)\\= \frac{20 - 12}{5} \\= \frac{8}{5}\)

On the first day , Emme used \(\frac{3}{4}\) of her \(4\) pints of paints

Hence, Paint left after first day with Emme

\(= 4 - (\frac{3}{4} * 4)\\\\= 4-3\\= 1\)

Total pint of paint left with both Maria and emme altogether

\(= 1 + \frac{8}{5}\\= \frac{5+8}{5} \\= \frac{13}{5}\)

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

For more such questions on probability

https://brainly.com/question/24756209

#SPJ8

Answer:

Scientific notion: 83M meanin million

Answer:

\(8.3\) x \(10^7\)

Step-by-step explanation:

83 000 000  ×  1  =  83 000 000

But 1 can be written as \(\frac{10^7}{10^7}\)

83000000  × \(\frac{10^7}{10^7}\) =  83000000  ×  1  =  83000000

\(\frac{83000000}{10^7}\) x \(10^7\) =  83000000  ×  1  =  83000000

Divide the denominator of \(10^7\) into  83000000

\(8.3\) x \(10^7\) =  83000000

Learn more about least squares:
https://brainly.com/question/24848242

#SPJ4

The equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The given function is:

h(x) = (x^2 - 2x - 4) / (x - 4)

To rewrite this function in an equivalent form showing the remainder as a fraction, we can use polynomial division.

Let's divide x^2 - 2x - 4 by x - 4:

           x - 6

   --------------------

x - 4 | x^2 - 2x - 4

      - (x^2 - 4x)

      -------------

            2x - 4

            - (2x - 8)

            ---------

                   4

Therefore, we can write:

h(x) = (x^2 - 2x - 4) / (x - 4) = (x - 6) + 4 / (x - 4)

Therefore,  the equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)

To learn more about Algebraic expression from given link.

https://brainly.com/question/28884894

#SPJ1

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

For more such questions on pay,click on

https://brainly.com/question/25793394

#SPJ8    

Answer:

D. 800,000

Step-by-step explanation:

It is D because you find the hundred thousand place which is the 8, the you go to the number next door which is 3, if the 3 is 5 or greater the 8 will become a 9 or if it is not then it will stay the same. And everything to the left stays the same, everything to the right turns into zeros.

Answer:

Plan A: which earns 6% interest compounded per year, compounded quarterly.

Step-by-step explanation:

To determine which plan is the best investment option, we need to calculate the final balance of each plan after 8 years and compare them.

Plan A:

With a 6% interest rate compounded quarterly, the formula to calculate the final balance after n years is given by:

A = P * (1 + r/m)^(m*n)

Where:

P = $5000 (the initial deposit)

r = 0.06 (the annual interest rate as a decimal)

m = 4 (number of times compounded per year)

n = 8 (number of years)

Plugging in the values, we get:

A = $5000 * (1 + 0.06/4)^(4 * 8)

A = $8051.62

Plan B:

With a 5% interest rate compounded daily, the formula to calculate the final balance after n years is given by:

A = P * (1 + r/365)^(365*n)

Where:

P = $5000 (the initial deposit)

r = 0.05 (the annual interest rate as a decimal)

n = 8 (number of years)

Plugging in the values, we get:

A = $5000 * (1 + 0.05/365)^(365 * 8)

A = $7458.919

After calculating the final balance for each plan, it is clear that Plan A is the better option as it results in a higher balance of $8051.62 compared to Plan B's balance of $7458.919. So, if you are depositing $5000 for 8 years, it is best to choose Plan A, which earns 6% interest compounded per year, compounded quaterly.

Answer:

Plan A is the best investment account.

Step-by-step explanation:

To determine which of the two different investments accounts is the best, substitute the given values for each account into the compound interest formula and compare the final account balances.

\(\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given Plan A values:

Plan A balance:

\(\implies A=5000\left(1+\dfrac{0.06}{4}\right)^{4 \cdot 8}\)

\(\implies A=5000\left(1.015\right)^{32}\)

\(\implies A=8051.62160...\)

Therefore, the balance of the Plan A account is $8,051.62.

Given Plan B values:

Plan B balance:

\(\implies A=5000\left(1+\dfrac{0.05}{365}\right)^{365 \cdot 8}\)

\(\implies A=5000\left(1..00013698...\right)^{2920}\)

\(\implies A=7458.9191...\)

Therefore, the balance of the Plan B account is $7,458.92.

Plan A is the best investment account since you will earn $592.70 more investing in this account than if investing the same amount of money for the same amount of time in the Plan B account.

Answer:

The slope is 6/3 or simplified is 2

Step-by-step explanation:

Stick to this formula

y2-y1/

x2-x1

9-3/

5-2   = 6/3 or 2

See attachment for further explanation

Hope this helps (:

The slope of the line that passes through (2, 3)(5, 9) is 2

Therefore, the slope of the line that passes through the points (2, 3)(5, 9) can be found as follows;

y₁ = 3

y₂ = 9

x₁ = 2

x₂ = 5

m = 9 - 3 / 5 - 2

m = 6 / 3

m = 2

slope = 2

Therefore, the slope of the line that passes through (2, 3)(5, 9) is 2

learn more on slope:https://brainly.com/question/6639603?referrer=searchResults

Therefore, we cannot calculate the cost of an ounce of insulin in 2006 using this function. (a). the cost of insulin increases by 12% per year.

(b).Therefore, an ounce of insulin would have cost approximately $114.08 in 2018.

(c).Therefore, the cost of insulin increases by 12% per year.

What is function?

a function is a relationship between two sets of objects, where each object in the first set (called the domain) is associated with exactly one object in the second set (called the range). The domain and range can be any set, including numbers, geometric shapes, or other mathematical objects.

A function is typically represented by a rule or formula that describes how to map each element in the domain to an element in the range. For example, the function f(x) = 2x maps each value of x to its double, so that f(1) = 2, f(2) = 4, f(3) = 6, and so on.

The cost of insulin increases over time because the value of 1.12 is greater than 1, meaning the function's output grows with increasing t. To find the percentage increase per year, we can calculate the difference in cost between two consecutive years and divide it by the cost of the earlier year. For example, to find the percentage increase between 2010 and 2011:

\(c(1) - c(0) = 54(1.12) - 54 = 6.48\)

Percentage increase = (6.48/54) x 100% = 12%

Therefore, the cost of insulin increases by 12% per year.

b. To find the cost of an ounce of insulin in 2018, we need to find the value of t for that year. Since t represents the number of years since 2010, we can subtract 2010 from 2018 to get:

\(t = 2018 - 2010 = 8\)

\(c(8) = 54(1.12)^8 =$114.08\)

Therefore, an ounce of insulin would have cost approximately $114.08 in 2018.

c. To find the cost of an ounce of insulin in 2006, we need to find the value of t for that year. Since t represents the number of years since 2010, we can subtract 2010 from 2006 to get:

\(t = 2006 - 2010 = -4\)

However, a negative value of t is not meaningful in this context because the function assumes t represents the number of years since 2010. Therefore, we cannot calculate the cost of an ounce of insulin in 2006 using this function.

To know more about function visit:

https://brainly.com/question/21145944

#SPJ1

Answer:

the relation is given as a set of ordered pairs.

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates