Find the value of k so that (-1,5) lies on kx - 4y -k=0

[tex]f(x)=2x^2+5\sqrt{x-2}\\\\f(3)\to\text{put the value of x = 3 to the equation of the function}\\\\f(3)=2(3^2)+5\sqrt{3-2}=2(9)+5\sqrt1=18+5(1)=18+5=23[/tex]

-5x -4(x-6) = -3

distribute

-5x -4x+24 = -3

combine like terms

-9x +24 = -3

subtract 24 from each side

-9x = -27

divide by -9

x = 3

Answer:

x=3

Step-by-step explanation:

−5x−4(x−6)=−3

To solve for x:

for this we have to make the equation in such a way that the variable x lies on the left side and constant terms on the right side.

First distribute -4 over x and -6

We get -4x+24.

Substitute in the equation.

-5x-4x+24 =-3

Subtract 24 from both the sides

-5x-4x = -3-24

Or =9x = -27

Divide by -9

X = 3

Answer: science

Step-by-step explanation:

The cost is $395.  You are trying to find n in 24n + 35.

Set C = 395.

You get 395 = 24n + 35.

Solve for n by first subtracting 35 from both sides of the equation:

395 - 35 = 360.

24n + 35 - 35 = 24n.

Now you have 360 = 24n.  Divide both sides by 24 to get:

15 = n.

So, 15 birthday cakes are made when the cost is $395.

The Number of cakes that can be made with $395 is 15.

The cost function :

C(n) = 24n + 35

The number of cakes, n that can be made with $395:

Substitute, C(n) = 395 into the equation :

395 = 24n + 35

24n = 395 - 35

24n = 360

Divide both sides by 24

n = 360 / 24

n = 15

Therefore, 15 cakes can be made with $395

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X/4 +5/8 = 3/8

X/4 = 3/8-5/8

X/4 = (3-5)/8

X/4 = -2/8

Multiply both sides by 4 we get

4x/4 = -8/8

X = -1

The answer to your question is 21.

7 * 3 = 21

7 x 3 = 21

(you can learn your multiplications, or get a calculator)

hope that helps anyway :)

(4k+2)(k-2)/(k^2-4)(2k+1)

=2(2k+1)(k-2)/ (k^2-2^2)(2k+1)

Cancel out 2k+1

2(k-2)/(k-2)(k+2) using a^2-b^2=(a-b)(a+b)

cancel out k-2

2/k+2

Therefore numerator is 2

i think it is the third one

                                                   hope it helps

Answer:

The given equation is

 →x²=16

→x²-16=0

→(x-4)(x+4)=0

x=4, -4

p=4

q=-4

Option C

A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4, another dot is shown on negative 4, and are labeled as p and q, respectively.

let L be the length

let W be the width

L = 9 + 2W

since the perimeter = 2L + 2W

Perimeter = 2 x (9 + 2W) + 2W

174 m = 18 + 4W + 2W

174 m = 18 + 6W

6W = 174 - 18

6W = 156

W = 156/6

W = 26

L = 9 + 2W

L = 9 + 2 x 26

L = 9 + 52

L = 61

Therefore, length = 61 m and width = 26 m.

12.66 or 12 2/3 hrs because 25-6 = 19, $19.00 divided by $1.50 = 12.66 cont. rounded to 12 2/3

Final answer:

After deducting the $6.00 admission fee from the $25.00, Jon has $19.00 left to spend on roller blade rentals. At $1.50 per hour, he can skate for 12 full hours with his remaining budget.

Explanation:

To calculate how many hours Jon can skate for $25, we'll first account for the fixed admission fee and then see how the remaining amount can be used for hourly rental of roller blades.

Step 1: Subtract the Admission Fee

Jon has to pay a fixed admission fee of $6.00 when he enters the skating rink.

Start with the total amount Jon is willing to spend: $25.00.

Subtract the fixed admission fee: $25.00 - $6.00 = $19.00.

Step 2: Calculate the Number of Hours

The cost per hour for renting roller blades is $1.50.

Divide the remaining amount by the hourly rental rate to find out how many hours Jon can rent the roller blades.

$19.00 / $1.50 per hour = 12.6667 hours.

Since Jon cannot skate for a fraction of an hour, we can round it down to 12 hours.

Jon can skate for 12 hours with his $25 budget after paying for the admission fee.

The sale price of the item is $35.10.

To find the sale price of an item with a markdown, you can follow these steps:

1. Convert the markdown percentage to a decimal. In this case, the markdown is 22%, so convert it to 0.22.

2. Subtract the decimal equivalent of the markdown from 1. This will give you the "discount factor." In this case, 1 - 0.22 = 0.78.

3. Multiply the original price by the discount factor to find the sale price.

Let's calculate it:

1. Markdown as a decimal: 22% = 0.22.

2. Discount factor: 1 - 0.22 = 0.78.

3. Sale price = Original price * Discount factor

  Sale price = $45.00 * 0.78

  Sale price = $35.10.

So, the sale price of the item is $35.10.

Explanation: The markdown percentage of 22% represents the reduction in price from the original price. By subtracting this percentage from 100% (or 1 in decimal form), we find the discount factor, which tells us how much of the original price remains. Multiplying the original price by the discount factor gives us the sale price. In this case, the sale price is $35.10, reflecting a 22% reduction from the original price of $45.00.

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The probable question may be:

Find the sale price of the following item. Round to two decimal places when necessary: Original price: $45.00; Markdown : 22%.

Answer:

Option B.

Step-by-step explanation:

(f-g)(x) = f(x)-g(x)

          = (5x²-3) - (x²-4x-8)

          =5x²-3 -x² +4x +8       ( - sign outside will multiply each sign inside)

         =4x² +4x + 5

Answer:

2 1/12

Step-by-step explanation:

Maddie wants her total hours to be 10 1/2. That is, she want the sum of the daily hours to be that value:

... 10 1/2 = 2 1/2 + 2 2/3 + 3 1/4 + (more hours)

Subtracting the contant terms on the right, we can find the value of (more hours).

... 10 1/2 - 2 1/2 - 2 2/3 - 3 1/4 = (more hours)

Doing the subtraction left to right, we have

... 8 - 2 2/3 - 3 1/4 = (more hours)

... 5 1/3 - 3 1/4 = (more hours)

... 2 1/12 = (more hours)

The only subtraction that may require any extra effort is subtracting 1/4 from 1/3.

... (1/3) - (1/4) = (4/12) - (3/12) = (4 -3)/12 = 1/12

_____

If you play with fractions very much, this is a number fact you will have run across before.

Best Answer:  m∠ABF = (8x + 6) degrees and m∠ABE = 2(x + 11) degrees  

m∠EBF = (6x - 16)

To find the measure of angle ABF, set up an equation using the given angles ABE and EBF. Simplify and solve the equation to find the value of x. Substitute the value of x back into the equation to find the measure of angle ABF.

To find the measure of angle ABF, we need to set up an equation using the given angles ABE and EBF. We can set up the equation as follows:

ABE + EBF = ABF

Substituting the given values:

(11x - 31) + (2x - 9) = 6x + 26

Simplifying the equation:

13x - 40 = 6x + 26

Moving the variables to one side:

13x - 6x = 26 + 40

Combining like terms:

7x = 66

Dividing both sides by 7:

x = 9.4286

Substituting the value of x back into the equation:

ABF = 6(9.4286) + 26

ABF = 56.5714 + 26

ABF = 82.5714

Therefore, the measure of angle ABF is 82.5714 degrees.

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What is [tex]7\dfrac{3}{8}[/tex] of [tex]1600[/tex] ?

You must multiply [tex]1600[/tex] by [tex]7\dfrac{3}{8}=\dfrac{7\cdot8+3}{8}=\dfrac{59}{8}[/tex].

[tex]1600\cdot\dfrac{59}{8}=200\cdot\dfrac{59}{1}=200\cdot59=11800[/tex]

Because G is a 90 degree angle ( right angle) the 2 angles given when added together also need to equal 90 degrees:

4x + 5x = 90

Combine like terms:

9x = 90

Divide both sides by 9:

X = 90/9

X = 10

2x and 8X are supplementary angles and need to equal 180 degrees when added together:

2x + 8x = 180

Combine like terms:

10x = 180

Divide both sides by 10:

X = 180 /10

X = 18

The inside angle where they have 32 is a vertical angle to 32 so it is also 32.

The four inside angles need to equal 360 degrees.

Subtract the 3 known angles from 360 to find x:

X = 360 - 158 - 148 - 32 = 22 degree.

3.4/55.318= 0.06146281499

There isn't much of a way to explain this just divide it as it is stated.

Using the bacteria parable, at 11:39 PM the jar is 1/2048 full, calculated by determining the number of doubling intervals (minutes) from midnight when the jar is full.

The bacteria parable is designed to illustrate exponential growth, with bacteria population doubling at predetermined intervals. In the given scenario, the population doubles every minute, and the jar is full at midnight.

Working backwards from the full point (midnight), we can determine the state of the jar at any time before midnight.

Consequently, to find what fraction of the bottle is full at 11:39 PM, we simply count backward the number of doubling intervals (minutes) from midnight.

At 11:50 PM, the jar is half full. Each minute going back cuts the fullness of the jar by half:

Therefore, at 11:39 PM, the jar is 1/2048 full.

Your answer would be 4379 members because at the very beginning you had started off with 4372 members, however as the months go by changes happen. On october, it changed by -10, meaning that 10 students left the school meaning 4372-10=4362 members remaining. Then there's november with -8, so you subtract 8 from your new total 4362-8=4354. Then december comes, and this time it's a positive number, so you have to add 23 to 4354, giving you a new total of 4377. Then there's january, and its back to a negative number so you subtract 12 from 4377, 4377-12=4365. Then february comes and it's a change of a positive number, so you add 3 to the 4365, giving you 4368. And then finally by march, it's another positive number so you add 11 to your total, giving you 4379 students which are now at school. So basically if it's a negative change, subtract from the total, and if it is a positive, add to it. And you have to continue with the total that you got from the previous change that you did. Hope this was helpful

basically you start with 4372 the table shows what happens during the school so after September you go to October which is -10 so you end up with 4362 then, November which is -8 so you get 4354 then in December you have +23 which makes 4377 then in January you have -12 which makes 4365 then in Feburary you have +3 which makes 4368 then in march you have +11 so 4379 so  

1rst one

-hope this helps

*(Answer)*= [tex]4/3[/tex]

*(Explanation)*= You multiply 3 (denominator) to 1 (whole number) then you add 1 (numerator)

Respuesta: 12 estudiantes trajeron pilas

Solución:

Numero total de estudiantes: 30

Sea:

x: numero de estudiantes que trajeron pilas

y: numero de estudiantes que no trajeron pilas

x+y=30 (1)

La razón entre los estudiantes que trajeron pilas y los que no trajeron es como 2 es a 3:

Razón: r=x/y=2/3 (2)

Cuantos estudiantes trajeron pilas?

x=?

Tenemos un sistema de 2 ecuaciones con 2 incógnitas:

(1) x+y=30

(2) x/y=2/3

Vamos a resolver para x. Multiplicando en cruz en la segunda ecuación:

(2) 3x=2y

Depejando y: Dividiendo ambos lados de la ecuación entre 2:

3x/2=2y/2

3x/2=y

y=3x/2

Sustituyendo y por 3x/2 en la primera ecuación:

(1) x+y=30

x+3x/2=30

Sumando los términos en el lado izquierdo de la ecuación:

(2x+3x)/2=30

5x/2=30

Despejando x:

x=30*2/5

x=60/5

x=12

Answer: Respuesta: 12 estudiantes trajeron pilas

Solución:

Numero total de estudiantes: 30

Sea:

x: numero de estudiantes que trajeron pilas

y: numero de estudiantes que no trajeron pilas

x+y=30 (1)

La razón entre los estudiantes que trajeron pilas y los que no trajeron es como 2 es a 3:

Razón: r=x/y=2/3 (2)

Cuantos estudiantes trajeron pilas?

x=?

Tenemos un sistema de 2 ecuaciones con 2 incógnitas:

(1) x+y=30

(2) x/y=2/3

Vamos a resolver para x. Multiplicando en cruz en la segunda ecuación:

(2) 3x=2y

Depejando y: Dividiendo ambos lados de la ecuación entre 2:

3x/2=2y/2

3x/2=y

y=3x/2

Sustituyendo y por 3x/2 en la primera ecuación:

(1) x+y=30

x+3x/2=30

Sumando los términos en el lado izquierdo de la ecuación:

(2x+3x)/2=30

5x/2=30

Despejando x:

x=30*2/5

x=60/5

x=12