Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots sqrt 5 and 2

The answer is (-6,5)

Answer:

Your answer will be (-6,5).  

Step-by-step explanation:

You multiply the first equation by 3 and the second equation by 2. You will then cancel out the x's and find your y which is 5. You plug y back into your first equation to find your x which is -6. You then have your solution set.

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{5-3}{2}~~,~~\cfrac{11+5}{2} \right)\implies \left(\cfrac{2}{2}~,~ \cfrac{16}{2}\right)\implies \stackrel{center}{(1,8)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{endpoint}{(\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})}\qquad \stackrel{center}{(\stackrel{x_2}{1}~,~\stackrel{y_2}{8})}\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{[1-(-3)]^2+[8-5]^2}\implies r=\sqrt{(1+3)^2+(8-5)^2} \\\\\\ r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5[/tex]

Do the midpoint formula. Which will give you (1,8)

Answer: 1  5/12

Step-by-step explanation: You need to find a common denominator 3 and 4 are the denominators you can do 3 times 4 is 12 and 4 times 3 is 12, but whatever you do to the denominator needs to be done to the numerator so 2 times 4 is 8 and 1 times 4 is 4 then you have the fractions 8/12 and 3/12 then you just subtract and you get 1  5/12.

*Hard to explain*

Answer:

32 unit³

Step-by-step explanation:

Length of the crate has been given as 4 units

width of the crate = 2 units

Height of the crate = 4 units

Since the crate has been packed packed with the unit cubes.

Therefore, shape of the crate will be in the form of a rectangular prism.

Volume of the prism = Length × width × height

                     crate     = 4 × 2 × 4

                                   = 32 unit³

Volume of the shipping crate is 32 unit³.

Answer:

32 Units

Step-by-step explanation:

If u do 4x2x4=32 that is your answer all you got to do is x Lxwxh and U will find the volume

Answer:

-25

Step-by-step explanation:

-25 is the same distance away from zero as is 25.

Answer:

-25

Step-by-step explanation:

this is a question about absolute value. with absolute value, if the number is negative, u simply take off the negative sign. so, ur looking 4 the opposit of 25, which is -25

Answer:I know that more than half of the students did not score more than 75 because the median (the middle number) is 68.

Step-by-step explanation:

Add the ratio to get total shares: 4 +1 = 5

Divide the total amount to share by the total shares:

150 / 5 = 30

Now multiply each set of shares by that:

4 x 30 = 120

1 x 30 = 30

120-30 = 90 more

$0.13 per ounce.  5 pounds of birdseed cost $10.40, then the price per ounce is $0.13.

The easiest way to solve this problem is using arithmetic operations and unit conversion.

We have to calculate the price per pound. Let's divide $10.40 by 5 pounds.

10.40/5 = 2.08

The price per pound is $2.08

To calculate the price per ounce, with 1 pound = 16 ounces. Let's divide $2.08 by 16 ounces.

2.08/16 = 0.13

The price per ounce is $0.13

Answer:

$142500

Step-by-step explanation:

We are given that the resident of a certain University receives a salary that is three times the salary of one of the department heads.

If the sum of the two salaries is $190000, we are to find the salary of the president of the University.

Let [tex]x[/tex] to be the department head's salary, we can write an equation:

[tex]3x+x=190000[/tex]

[tex]4x=190000[/tex]

[tex]x=47500[/tex]

Salary of the president of the University = [tex]3(47500)[/tex] = $142500

Answer:

$142,500

Step-by-step explanation:

Let's say x is the salary of the department head.... so the salary of the president of the university can be described as 3x.

Then, we know the total of the two salaries is 190,000.  We can express this as:

3x + x = 190,000

4x = 190,000

x = 47,500

x is for the department head.  To get the president's salary, we have to multiply that by 3:

p = 3 (47,500) = 142,500

The salary of the president is then of $142,500.

Answer:

[tex]\frac{dy}{dx} = \frac{cos(x+y)}{1-cos(x+y)}[/tex]

Step-by-step explanation:

We have the function [tex]y=sin(x+y)[/tex]

We need find the derivative of y with respect to x

Note that the function [tex]y = sin (x + y)[/tex] depends on the variable x and the variable y. Therefore the derivative of y with respect to x will be equal to the derivative of [tex]sin (x + y)[/tex] by the internal derivative of  [tex]sin (x + y)[/tex]

[tex]\frac{dy}{dx}= cos(x+y)*\frac{d}{dx}(x+y)[/tex]

[tex]\frac{dy}{dx}= cos(x+y)*(1+\frac{dy}{dx})\\\\\frac{dy}{dx}= cos(x+y)+\frac{dy}{dx}cos(x+y)\\\\\frac{dy}{dx} -\frac{dy}{dx}cos(x+y)=cos(x+y)\\\\\frac{dy}{dx}(1-cos(x+y))=cos(x+y)\\\\\frac{dy}{dx} = \frac{cos(x+y)}{1-cos(x+y)}[/tex]

Answer:

Step-by-step explanation:

Note that y=sin(x+y) is an implicit function; y appears on both sides of the equation, which makes it difficult or impossible to solve for y.

However, our job here is to find the derivative dy/dx.

We apply the derivative operator d/dx to both sides.  Here are the results:

dy

---- = cos(x + y)(dx/dx + dy/dx), or

dx                                                         Note:  dx/dx = 1

dy

---- = cos(x + y)(1 + dy/dx), or  = cos(x + y) + cos(x + y)(dy/dx)

dx

We move that cos(x + y)(dy/dx) term to the left side to consolidate dy/dx terms:

dy

----  -  cos(x + y)(dy/dx) = cos(x + y)

dx

or:

 dy

[ ---- ] [ 1 -  cos(x + y) ] = cos(x + y)

  dx

Finally, we divide both sides by [ 1 -  cos(x + y) ], obtaining the derivative:

 dy            cos(x + y)

[ ---- ]  -------------------------

  dx         1 -  cos(x + y)

Answer:

For number 14, the answer should be 100 degrees. For number 15, the answer is 80 degrees. For number 16, the answer is 120 degrees.

Step-by-step explanation:

For number 14, if a minor arc is 80 degrees, then the major arc should be 100 degrees to add to make 180 degrees. For number 15, you can see the size of the 70 degrees angle, AB. Because DE is bigger than AB, we can conclude that it is probably 80 degrees. For number 16, if XY, YZ, and ZX are all the same, and a circle always adds up to 160 degrees, then 360 divided by the three arcs is 120.

Answer:

A. How can the equation be used in temperature conversion?

You take the conversion equation C = (5/9) (F - 32) and you replace the F by the value of Fahrenheit degrees...  then solve the calculations to get the degrees in Celsius.

For example, if you have 80°F to convert in °C:

C = (5/9) (80 - 32) = (5/9) (48) = 26.66 °C

B. How can you use the graph to find the body temp in C?

Using the graph will give a very imprecise measure due the scale of the graph.

But you would have to find 98.6 on the axis of X (it represents the °F), then go upwards until you find the line....

Then report that position on the line on the Y-axis (representing the °C) to get your measure.

Answer:

For A: The linear equation is [tex]C=\frac{5}{9}F-\frac{32}{9}[/tex]

For B: The temperature of normal body in degree Celsius is 37° C.

Explanation:

Linear equations are defined as the equations in which the highest power of a variable is '1'. The general equation for a linear equation is:

[tex]y=mx+c[/tex]

where,

y = Y-coordinate

m = slope of the line

x = X - coordinate

c = intercept on y-axis

For the given equation:

[tex]C=\frac{5}{9}(F-32)[/tex]

The linear equation representation for the given equation is:

[tex]C=\frac{5}{9}F-\frac{32}{9}[/tex]

We are given a value of temperature in degree Fahrenheit. To calculate its value in degree Celsius, we use the equation above.

Putting value of F = 98.6 in above equation, we get:

[tex]C=(\frac{5}{9}\times 98.6)-\frac{32}{9}\\\\C=37[/tex]

Hence, the temperature of normal body in degree Celsius is 37° C.

Answer:

-5

Step-by-step explanation:

-3 x 3 - 4x

x=-1

-3 x 3 - 4(-1)

-3 x 3 + 4

-9 + 4

-5

Hope This Helps! :D

Answer:

-3-4x

=-3(-1

=-3*(-1)+4

=3+4

=7

Step-by-step explanation:

that should be all you need to know

Answer:

the building strong enough to withstand the denali quake

Step-by-step explanation:

denali quake 6.7  x 70 = 469

the building in denali should be strong enough to withstand an earthquake of that magnitude  

rat island quake 7.8 x 30 = 234

the building in the rat islands  should be strong enough to withstand an earthquake of that magnitude  

the answer is z=7 (as 3z-4=17)

Answer:

A. 5

Step-by-step explanation:

{-2/5 7/5}={-2*7/5*5}={-14/25} or if you prefer :

Final answer:

The quadratic equation with roots -2/5 and 7/5 is 25x^2 - 25x - 14 = 0. This is derived by expressing the equation in the form a(x - α)(x - β) = 0 and substituting the given roots.

Explanation:

To find a quadratic equation with roots -2/5 and 7/5, we use the fact that if α and β are the roots of the quadratic equation ax2 + bx + c = 0, then the equation can be written as a(x - α)(x - β) = 0. For roots -2/5 and 7/5, the quadratic equation becomes:

x2 - (sum of roots)x + (product of roots) = 0

x2 - ((-2/5) + (7/5))x + ((-2/5) × (7/5)) = 0

x2 - (5/5)x - (14/25) = 0

x2 - x - 14/25 = 0

Multiplying through by 25 to clear the fraction:

25x2 - 25x - 14 = 0

This is the quadratic equation with the given roots.

Answer:

x-8>-3 {x|R, x>5 is right answer

For this case we must find the solutions of the following inequality:

[tex]x-8> -3[/tex]

Adding 8 to both sides of the inequality we have:

[tex]x> -3 + 8\\x> 5[/tex]

Thus, the solutions of the variable "x" are given by all the real numbers greater than 5.

Answer:

Option C

Answer:

Pay period, taxable allowances, and dividends

Step-by-step explanation:

Answer: Pay period, taxable allowances, and dividends

Explanation:

  Paycheck stub is the type of document which include the total paid amount to the employees. It is also known as pay slip and pay stub. The pay stub is basically received by the each pay slip and period.

This pay check stub document basically show the total earnings, deductions and the net pay after the all deductions.

We can also save the paycheck stub in our records so that we can easily access it in future. In case of the employees and employer, the paycheck stub prove that the payment and the income are both consistent.

An entrepreneur is a someone who organizes and conducts a business, and taking great financial risks.

Answer:

The correct answer would be option C, A person who takes a risk to create a new product or develop a better way to operate a business.

Step-by-step explanation:

An entrepreneur is a person who starts a new business alone. An Entrepreneur is responsible for all the profits and losses of the business. He takes risks in the hope of earning profits. He introduces new products in the market and develops better ways to operate a business. He is solely liable for all his decisions and the resulting profit or losses. Entrepreneurs are usually hard working, strong decision makers, risk takers, and highly innovative people.

Answer:

Option C. [tex]42\ yd^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BH[/tex]

where

B is the area of the triangular base

H is the height of the prism

Convert 9 ft to yd

Remember that

1 ft=1/3 yd

9 ft=9*(1/3)=3 yd

Find the area of the base B

[tex]B=\frac{1}{2}(3)(4)=6\ yd^{2}[/tex]

we have

[tex]H=7\ yd[/tex]

substitute the values in the formula

[tex]V=BH[/tex]

[tex]V=(6)(7)=42\ yd^{3}[/tex]

Answer:

The answer is 42 yards! Sry im late. :(

Answer:

Step-by-step explanation:

y2-y1/x2-x1= -3-(-3)/6-2= 0/4

To solve the system of equations x − y = 5 and 2x − 3y = 4, we can use the method of substitution or elimination. By substituting the value of x from the first equation into the second equation, we can find the value of y. Then, substitute the value of y back into the first equation to find the value of x. The solution to the system of equations is (11, 6).

To solve the system of equations x − y = 5 and 2x − 3y = 4, we can use the method of substitution or elimination. Let's use the method of substitution:

From the first equation, we can rearrange it to x = y + 5. Now substitute this value of x into the second equation:

2(y + 5) − 3y = 4

Simplify and solve for y:

2y + 10 - 3y = 4

-y + 10 = 4

-y = -6

y = 6

Now substitute this value of y back into the first equation to find x:

x − 6 = 5

x = 11

Therefore, the solution to the system of equations is (11, 6). So, the correct answer is option D.

Answer:

The height of the triangular pyramid is [tex]27\ cm[/tex]

Step-by-step explanation:

we know that

The volume of a triangular pyramid is equal to

[tex]V=\frac{1}{3}BH[/tex]

where

B is the area of the triangular base

H is the height of the pyramid

Find the area of the base B

[tex]B=\frac{1}{2}(15)(4)=30\ cm^{2}[/tex]

we have

[tex]V=270\ cm^{3}[/tex]

substitute and solve for H

[tex]270=\frac{1}{3}(30)H[/tex]

[tex]270=10H[/tex]

[tex]H=270/10=27\ cm[/tex]

Answer:No assoication

Step-by-step explanation:

because they are not parellell with each other

Answer: No  association.

Step-by-step explanation: They aren't parallel with each other. So, it has to be no association.

Answer:

32x + 48y - 16z

Step-by-step explanation:

Answer:

8/5 or 1 3/5

Step-by-step explanation:

2 2/5 = 12/5

1 1/2 = 3/2

Now that we have fractions that are easier to divide, one must understand that the opposite of dividing is multiplying. So if you multiply 12/5 by the reciprocal* of 3/2, which would be 2/3, you would get your answer so...

12     3         12    2        24     8             3

—  ÷ —   =   — × —    =  —  = —   or  1  —

5       2         5     3        15      5             5

*the reciprocal is the opposite of the fraction you have. So the denominator would become the numerator, and vise versa.

Assuming that the probability of a car being colored blue is not equal to 0 or 1, then the most logical answer would be the smallest probability.

P= 0.001

Answer:

0.001

Step-by-step explanation:

gradpoint

sin=√17/7

or sin=sqrt(17)/7

Answer:

[tex]\frac{\sqrt{17} }{7}[/tex]

Step-by-step explanation:

Given

cosΘ = [tex]\frac{4\sqrt{2} }{7}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]

Then the hypotenuse of the right triangle is 7 and the adjacent side is 4[tex]\sqrt{2}[/tex]

To find the opposite side use Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

opp² + (4[tex]\sqrt{2}[/tex] )² = 7²

opp² + 32 = 49 ( subtract 32 from both sides )

opp² = 17 ( take the square root of both sides )

opp = [tex]\sqrt{17}[/tex]

Hence

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{17} }{7}[/tex]

A decrease by 30%, means that the price is now 70% of the original price ( 100% - 30% = 70%)

To find the original price divide the new price by the percent of the original price it is now.

147 / 0.70 = 210

The original price was £210

The price before the decrease is £210.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 147 \div 70\%[/tex]

=  £210

Therefore we can conclude that the price before the decrease is £210.

Learn more: brainly.com/question/6201432

Answer:

x= 8.5 or 9, or deciding if u adding or subtracting the problem, x= 9.5 or 10

Step-by-step explanation:

If you're meaning 4x+2=36 or 4x-2=36

                                  -2   -2          +2   +2

                              4x=34          4x=38

                              4     4            4     4

                               x= 8.5 or 9     x= 9.5 or 10

Hope i have helped you! :)