linear, exponential, or neither?

Answer:

∠ K = 35° and ∠ L = 105°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

let ∠ K = x then ∠ L = 3x

Sum the angles and equate to 180

3x + x + 40 = 180, that is

4x + 40 = 180 ( subtract 40 from both sides )

4x = 140 ( divide both sides by 4 )

x = 35

Thus

∠ K = 35° and ∠ K = 3x = 3 × 35 = 105°

Answer:

The measure of the arc CD = 64°

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°

Answer:

Two solutions were found :

x = 6

x = -1

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (3x2 -  15x) -  18  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x2 - 15x - 18  =   3 • (x2 - 5x - 6)  

Trying to factor by splitting the middle term

3.2     Factoring  x2 - 5x - 6  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  -6  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -6 = -6  

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   -5 .

     -6    +    1    =    -5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  1  

                    x2 - 6x + 1x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-6)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-6)

            Which is the desired factorization

Equation at the end of step  3  :

 3 • (x + 1) • (x - 6)  = 0

In Conclusion, the answer would be 0.

Answer:

The answer is 216 I got It wrong at first but the other answer has it right so I changed mine so no one gets confused.

Step-by-step explanation:

Answer:

216 inches is the volume

Step-by-step explanation:

multiply length times width times height

Answer:

[tex]-\frac{13}{4}[/tex]

Step-by-step explanation:

8 - 4s = 8 + 13

8 - 4s = 21

4s = 8 - 21

4s = - 13

s = -13/4

The expression that represents the distance is [tex]|-2\dfrac{1}{5}-4.35|[/tex]

The points are given as:

4.35 and [tex]-2\dfrac{1}{5}[/tex]

The distance between points a and b is calculated using the following absolute value expression

Distance = |b - a|

This means that:

[tex]Distance = |-2\dfrac{1}{5}-4.35|[/tex]

Hence, the expression that represents the distance is [tex]|-2\dfrac{1}{5}-4.35|[/tex]

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Which of the following expressions represents the distance between 4.35 and -2 1/5 on a number line?

A: | -2 1/5-4.35|

B: | 4.35+(-2 1/5)|

C: None of the above.

Answer:

(2,2) is not a solution of the system.

Step-by-step explanation:

Given : Equations [tex]5x-9y\geq 8[/tex] and [tex]7x-4y<10[/tex].

To find : Is (2,2) a solution of the system?

Solution :

To know that the given point is the solution or not we have to put the values in equation if inequality is true then the point is the solution.

Substitute (2,2) in [tex]5x-9y\geq 8[/tex] ,

[tex]5(2)-9(2)\geq 8[/tex]

[tex]10-18\geq 8[/tex]

[tex]-8\geq 8[/tex]

It is not true.

Substitute (2,2) in [tex]7x-4y<10[/tex] ,

[tex]7(2)-4(2)<10[/tex]

[tex]14-8<10[/tex]

[tex]6<10[/tex]

It is true.

So, (2,2) is not a solution of the system.

Answer: p = 16

Step-by-step explanation: 125 divided by 5 is 25

then subtract 25 by 9 to get 16 so p = 16

hope this helps please mark brainliest

Answer:

13

Step-by-step explanation:

14+9+20+5+17+13 = 78

78/6= 13

To find the mean you always add all the data and then divide it by the amount of data.

Answer: 466.67 calories in 2 cups of spaghetti

Step-by-step explanation: if there are 350 calories in 1 1/2 cups of spaghetti you only need have a cup to make 2 cups then 1/3 of 350 calories is 116.67

so 350 + 116.67= 466.67

please give brainliest

This question pertains to Health in Middle School.

The subject of this question is Health and the grade level is Middle School.

Answer:

39 or 100

Step-by-step explanation:

45 47 54 56 81 94

Range is 94 - 45 = 49

Either add 100 or 39 to the set.

94+6 = 100

45-6 = 39

The Simplification of the expression of 2x + x  can be written as 3x

A mathematical expression is simplified when it is expressed in the simplest way possible. The expression is usually reduced to its simplest form by using fundamental features of numbers, exponents, algebraic principles, etc. to eliminate any repetitions or redundancies.

Given that 2x + x

Then we can factorize as

x(2+1)

=(x*3)

=3x

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Answer:

Step-by-step explanation:

[tex]3x+5=20\qquad\text{subtract 5 from both sides}\\\\3x+5-5=20-5\\\\3x=15\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{15}{3}\\\\x=5[/tex]

Answer:

x = 5.

Step-by-step explanation:

3x +5 = 20

Subtract 5 from both sides:

3x + 5 - 5 = 20 - 5

3x = 15

Divide both sides by 3:

x = 15/3

x = 5.

Answer:

Step-by-step explanation:

D.The left end goes up and the right end goes down because this is a first order function

The end behavior of the function f(x) = -2(x - 2)^5 is that the left end goes up and the right end goes down. This is determined by the odd degree and negative leading coefficient of the function.

The end behaviors of a function can be determined by looking at the highest degree term, also known as the leading term. In this case, for the function f(x) = -2(x - 2)^5, the highest degree is odd (5), and the coefficient, -2, is negative.

Odd degree with a negative leading coefficient means that the end behaviors of this function will be: as x approaches negative infinity (moves left), the function values will go toward positive infinity (up), and as x approaches positive infinity (moves right), the function values will go toward negative infinity (down).

So the correct option here is: D. The left end goes up; the right end goes down.

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Answer:

[tex]\frac{41}{836}[/tex] Is just that.

Any other question?

brainliest please ;)

Answer:

41/836

Step-by-step explanation:

try using mathaway.com or tiger algebra solver

[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\quad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-5)}}}\implies \cfrac{1+3}{3+5}\implies \cfrac{4}{8}\implies \cfrac{1}{2}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{1}{2}}[x-\stackrel{x_1}{(-5)}]\implies y+3=\cfrac{1}{2}(x+5) \\\\\\ y+3=\cfrac{1}{2}x+\cfrac{5}{2}\implies y=\cfrac{1}{2}x+\cfrac{5}{2}-3\implies y = \cfrac{1}{2}x-\cfrac{1}{2}[/tex]

Answer:

x - 2y - 7 = 0

Step-by-step explanation:

To find the equation of a line that passes through (-5, -3) and (3,1)

All we need to do is to use the find the slope and then plug it into the straight line equation

straight line equation :   y -  [tex]y_{1}[/tex]   =   m (x  -  [tex]x_{1}[/tex])

[tex]x_{1}[/tex] = -5     [tex]y_{1}[/tex] = -3   [tex]x_{2}[/tex] = 3   [tex]y_{2}[/tex] = 1

m = slope =  [tex]y_{2}[/tex]  -  [tex]y_{1}[/tex]   /  [tex]x_{2}[/tex]  -  [tex]x_{1}[/tex]

                =   1 -(-3)  /   3 -(-5)

                 =4/8

                  =1/2

m=1/2

So, we can now plug in our value into  the equation;

y  -  [tex]y_{1}[/tex]   =   m (x -  [tex]x_{1}[/tex])

y - (-5) = [tex]\frac{1}{2}[/tex] [x - (-3)]

y + 5 = [tex]\frac{1}{2}[/tex](x+3)

y +  5  =  [tex]\frac{x + 3}{2}[/tex]

cross-multiply

2(y + 5) =   x + 3

2y + 10  =  x + 3

take 2y and 10 to the right-hand side of the equation;

x + 3 - 2y - 10  = 0

x - 2y - 7 = 0

Therefore the equation of the line is x - 2y - 7 = 0

Answer:

20

Step-by-step explanation:

Answer:

True.

Step-by-step explanation:

It says to work out what is in parentheses first, (PEMDAS).

For example:

2(5 - 3) - 1    

5 - 3 = 2 so we have:

2 * 2 - 1

= 4 - 1

= 3.

Answer:

A. 5x + 2x - 4 = 2x2  <- Yes

x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

B. x^2 - 6x - 7 = 2x    <- Yes

x = 4 + sqrt(23) or x = 4 - sqrt(23)

C: 5x^2 – 3x+ 10 = 2x2    <- Yes

x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)  

D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3     <- No

Step-by-step explanation:

Solve for x over the real numbers:

5 x + 2 x - 4 = 2 x^2

5 x + 2 x - 4 = 7 x - 4:

7 x - 4 = 2 x^2

Subtract 2 x^2 from both sides:

-2 x^2 + 7 x - 4 = 0

Divide both sides by -2:

x^2 - (7 x)/2 + 2 = 0

Subtract 2 from both sides:

x^2 - (7 x)/2 = -2

Add 49/16 to both sides:

x^2 - (7 x)/2 + 49/16 = 17/16

Write the left hand side as a square:

(x - 7/4)^2 = 17/16

Take the square root of both sides:

x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

______________________________________________

Solve for x over the real numbers:

x^2 - 6 x - 7 = 2 x

Subtract 2 x from both sides:

x^2 - 8 x - 7 = 0

Add 7 to both sides:

x^2 - 8 x = 7

Add 16 to both sides:

x^2 - 8 x + 16 = 23

Write the left hand side as a square:

(x - 4)^2 = 23

Take the square root of both sides:

x - 4 = sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

x = 4 + sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)

_________________________________________________

Solve for x:

5 x^2 - 3 x + 10 = 2 x^2

Subtract 2 x^2 from both sides:

3 x^2 - 3 x + 10 = 0

Divide both sides by 3:

x^2 - x + 10/3 = 0

Subtract 10/3 from both sides:

x^2 - x = -10/3

Add 1/4 to both sides:

x^2 - x + 1/4 = -37/12

Write the left hand side as a square:

(x - 1/2)^2 = -37/12

Take the square root of both sides:

x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)

________________________________________________

Solve for x over the real numbers:

2 x^2 - 3 x + 10 = 2 x^2 + 21

Subtract 2 x^2 + 21 from both sides:

-3 x - 11 = 0

Multiply both sides by -1:

3 x + 11 = 0

Subtract 11 from both sides:

3 x = -11

Divide both sides by 3:

Answer: x = -11/3

Answer: A. 5x + 2x - 4 = 2x2  <- Yes

x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

B. x^2 - 6x - 7 = 2x    <- Yes

x = 4 + sqrt(23) or x = 4 - sqrt(23)

C: 5x^2 – 3x+ 10 = 2x2    <- Yes

x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)  

D . 2x^2 – 3x+ 10 = 2x^2 + 21x = -11/3     <- No

Solve for x over the real numbers:

5 x + 2 x - 4 = 2 x^2

5 x + 2 x - 4 = 7 x - 4:

7 x - 4 = 2 x^2

Subtract 2 x^2 from both sides:

-2 x^2 + 7 x - 4 = 0

Divide both sides by -2:

x^2 - (7 x)/2 + 2 = 0

Subtract 2 from both sides:

x^2 - (7 x)/2 = -2

Add 49/16 to both sides:

x^2 - (7 x)/2 + 49/16 = 17/16

Write the left-hand side as a square:

(x - 7/4)^2 = 17/16

Take the square root of both sides:

x - 7/4 = sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

x = 7/4 + sqrt(17)/4 or x - 7/4 = -sqrt(17)/4

Add 7/4 to both sides:

Answer: x = 7/4 + sqrt(17)/4 or x = 7/4 - sqrt(17)/4

______________________________________________

Solve for x over the real numbers:

x^2 - 6 x - 7 = 2 x

Subtract 2 x from both sides:

x^2 - 8 x - 7 = 0

Add 7 to both sides:

x^2 - 8 x = 7

Add 16 to both sides:

x^2 - 8 x + 16 = 23

Write the left-hand side as a square:

(x - 4)^2 = 23

Take the square root of both sides:

x - 4 = sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

x = 4 + sqrt(23) or x - 4 = -sqrt(23)

Add 4 to both sides:

Answer: x = 4 + sqrt(23) or x = 4 - sqrt(23)

_________________________________________________

Solve for x:

5 x^2 - 3 x + 10 = 2 x^2

Subtract 2 x^2 from both sides:

3 x^2 - 3 x + 10 = 0

Divide both sides by 3:

x^2 - x + 10/3 = 0

Subtract 10/3 from both sides:

x^2 - x = -10/3

Add 1/4 to both sides:

x^2 - x + 1/4 = -37/12

Write the left-hand side as a square:

(x - 1/2)^2 = -37/12

Take the square root of both sides:

x - 1/2 = 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

x = 1/2 + 1/2 i sqrt(37/3) or x - 1/2 = -1/2 i sqrt(37/3)

Add 1/2 to both sides:

Answer: x = 1/2 + 1/2 i sqrt(37/3) or x = 1/2 - 1/2 i sqrt(37/3)

________________________________________________

Solve for x over the real numbers:

2 x^2 - 3 x + 10 = 2 x^2 + 21

Subtract 2 x^2 + 21 from both sides:

-3 x - 11 = 0

Multiply both sides by -1:

3 x + 11 = 0

Subtract 11 from both sides:

3 x = -11

Divide both sides by 3:

Answer: x = -11/3

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On Wednesday, 64 people were sent the message as each of the 16 recipients forwarded the message to 4 other people.

To determine the number of people sent the message on Wednesday, we need to consider the number of people who received the message on each day. On Monday, Zach sent the message to 4 friends, so there were 4 recipients. On Tuesday, each of the 4 friends forwarded the message to 4 other people, resulting in a total of 4 friends x 4 recipients = 16 recipients. On Wednesday, each of these 16 recipients forwarded the message to 4 other people, resulting in a total of 16 recipients x 4 recipients = 64 people sent the message on Wednesday.

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Answer:

Length of Hypotenuse: 45

Step-by-step explanation:

To solve this we need to use the pythagorean theorem.

a^2 + b^2 = c^2

In this case: a = 27

b = 36

27^2 + 36^2 = c^2

729 + 1296 =  2025

then we need to find the square root of 2025

45^2 = 2025

Answer:

1875.6 in³

Step-by-step explanation:

(⅓×3.14×8²×12) + (⅔×3.14×8³)

1875.626667 in³

Answer:

sales tax on a bottle of window cleaning solution = $0.1533

sales tax on a gel pen=$0.1925

Step-by-step explanation:

The price of bottle of window cleaning solution = $2.19

Sales tax =7%

Applying the tax, 7/100 * 2.19 = $0.1533

The price of a gel pen = $2.75

Applying the sales tax;

7/100 * 2.75 = $0.1925

The 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen is around $0.35.

To calculate the 7% sales tax on a $2.19 bottle of window cleaning solution and a $2.75 gel pen, you first need to find the total cost of the items. Add $2.19 and $2.75 which equals $4.94. This is your base amount on which you will calculate the sales tax.

To get the tax amount, multiply the total cost by the tax rate as a decimal (7% = 0.07). So, $4.94 * 0.07 = $0.35 approximately. This will be the sales tax charged on these items.

Therefore, if you buy a window cleaning solution and gel pen, you would pay around $0.35 in taxes assuming a 7% sales tax.

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Answer:

$13.14

Step-by-step explanation:

60 mi/1 hour = x mi/1.5 hours

x = 90 mi to drive to work

25 mi/1 gallon = 90 mi/y gallons

y = 3.6 gallons to get to work

$3.65/1 gallon = $z/3.6 gallons

z = $13.14

Justin spends $13.14 on gas to get to work.

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The average speed of Justin when he goes to work is 60 miles/hour.

The time taken to reach to work is 1 hour 30 minutes.

Justin's car travels 25 miles for 1 gallon of gas.

The cost for one gallon of gas is $3.65 per gallon.

The total miles travelled is 60 miles/ hour * 1 hour 30 minutes.

Total miles travelled = 60 * (1.5)

Total miles travelled = 90 miles

The gas used for 25 miles is 1 gallon

The gas used for 90 miles is 90/25 = 3.6 gallon.

The cost of gas is $3.65 per gallon

The cost of 3.6 gallon is 3.65 *3.65

The cost of the gas used to get to work is $13.14.

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Answer:

5

Step-by-step explanation:

We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.

[tex]-3x+(A)x=2x[/tex]

We can simplify the equation if we add 3x to both sides, which then leaves us with this.

[tex](A)x=5x[/tex]

We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.

[tex]A=5[/tex]

Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.

[tex](x+1)(2x^{2}-3x+5)[/tex]

If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.

[tex]2x^{3}-x^{2}+2x+5[/tex]

Answer:

up 8 on the y axis

Step-by-step explanation:

Answer:

Expression: 5 x n - 4

Answer:

5n - 4

Step-by-step explanation:

Let the number be n.  Then we get the expression 5n - 4.