find the scale of each map: an actual distance of 50 km corresponds to 4 cm on the map.

Answer:

(10x^4-50x^3-800)/(x-6)

Step-by-step explanation:

Images with work attached

Answer:

            10 • (x^4 - 5x^3 - 80)

 ————————————————————

                      x - 6  

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

STEP 2:

Equation at the end of step  2

:

STEP 3:

                           10x4 - 50x3 - 800

Simplify   —————————————————

                                        x - 6      

STEP 4:

Pulling out like terms

     Pull out like factors :

  10x^4 - 50x^3 - 800  =   10 • (x^4 - 5x^3 - 80)  

Polynomial Roots Calculator :

    Find roots (zeroes) of :       F(x) = x^4 - 5x^3 - 80

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -80.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -74.00      

     -2       1        -2.00        -24.00      

     -4       1        -4.00        496.00      

     -5       1        -5.00        1170.00      

     -8       1        -8.00        6576.00      

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

Dividing :  x^4 - 5x^3 - 80  

                             ("Dividend")

By         :    x - 6    ("Divisor")

dividend     x^4  -  5x^3          -  80  

- divisor  * x^3     x^4  -  6x^3              

remainder         x^3          -  80  

- divisor  * x^2         x^3  -  6x^2          

remainder             6x^2      -  80  

- divisor  * 6x^1             6x^2  -  36x      

remainder                 36x  -  80  

- divisor  * 36x^0                 36x  -  216  

remainder                     136  

Quotient :  x^3 + x^2 + 6x + 36  

Remainder :  136

=               10 • (x^4 - 5x^3 - 80)

 ————————————————————

                           x - 6  

Hope this helps, have a nice day/night! :D

Answer:

Number of comic books is 75.

Original price of each comic book is 4$.

Step-by-step explanation:

There were 75 comics in the box originally.

An equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, Tayla purchased a large box of comic books for $300. She gave 15 of the comic books to her brother and then sold the rest on an internet website for $330, making a profit of $1.50 on each one.

Let x be the number of comics originally

(x - 15) is the number of comics sold.

Original price of each comic = 300/x

Price of comics which she gave to brother = 15*300/x

Original price of all the books that has been sold  = 300 - 15*300/x

Tayla's profit = 330 - (300 - 15*300/x) = 30 + 15*300/x

Number of comics sold = (30 + 15*300/x)/1.5

Equation will be,

(30 + 15*300/x)/1.5 = x - 15

20 + 3000/x = x - 15

(x² - 15x - 3000)/x = 20

x² - 35x - 3000 = 0

On factorizing the quadratic equation, we get,

x = 75 or -40 (Neglecting -40, because number of books can't be negative)

Hence, there were 75 comic books in the box originally.

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Answer:

C

Step-by-step explanation:

Answer:

x=21

<1=120

Step-by-step explanation:

So to find x set up an equation like this:

(5x+15)+(3x-3)=180

since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.

calculate the equation and you'll get x=21 :D

next to find 1 just put 21 in place of x: 3(21)-3=60

since it's supplementary to angle 1 you take 180-60=120

angle <1=120!

=======================================================

Explanation:

Use long division or your calculator to find that 1/40 = 0.025

Add on 3 to get 3 & 1/40 = 3 + 1/40 = 3 + 0.025 = 3.025 which is choice B

For some reason, your teacher has decided to add on a string of 0's onto this to form [tex]3.025\overline{0}[/tex] that horizontal line over the '0' means the 0's go on forever. So, [tex]3.025 = 3.025\overline{0} = 3.025000000...[/tex], but we can always chop off the trailing zeros to make life simpler. I'm not sure why your teacher has decided to use this fairly strange format.

The decimal value is equivalent to 3.025.

We have the following fraction -

3 [tex]\frac{1}{40\\}[/tex]

We can write the mixed fraction as -

3 [tex]\frac{1}{40\\}[/tex]

(40 x 3 + 1)/40

121/40

3.025

Therefore, the decimal value is equivalent to 3.025.

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Answer:

The top is the inches and the bottom is the cm.

Step-by-step explanation:

I might not be correct but I hope this works

Step-by-step explanation:

smallest value 30° largest value 150°.

Answer:

30, 150

Step-by-step explanation:

sin θ = 1 / 2

sin 30 = 1 / 2

θ = 30

So,

the smallest value of θ is 30.

sin ( 180 - 30 ) = sin 150 = 1 / 2

So,

the larger value of θ = 150.

Answer:

L = 5/4 yards

L = 1 1/4 yards

L = 1.25 yards

Step-by-step explanation:

area = Length * Width

3/4 = L * 3/5

Divide both sides by 3/5

(3/4) / (3/5) = L

When dividing by a fraction flip it over and multiply

3/4 * 5/3 = L

The 3 cancels

5/4 = L

L = 5/4 yards

as a proper fraction

L = 1 1/4 yards

As a decimal

L = 1.25 yards

[tex] \sqrt[5]{ \frac{3}{8} - \frac{11}{32} } \\ = \sqrt[5]{ \frac{12 - 11}{32} } \\ = \sqrt[5]{ \frac{1}{32} } \\ = \sqrt[5]{ \frac{ {1}^{5} }{ {2}^{5} } } \\ = \sqrt[5]{( \frac{1}{2} {)}^{5} } \\ = \frac{1}{2} [/tex]

[tex] \sqrt[3]{ \frac{1}{4} + \frac{5}{108} } \\ = \sqrt[3]{ \frac{27 + 5}{108} } \\ = \sqrt[3]{ \frac{32}{108} } \\ = \sqrt[3]{ \frac{8}{27} } \\ = \sqrt[3]{ \frac{ {2}^{3} }{ {3}^{3} } } \\ = \sqrt[3]{( \frac{2}{3} {)}^{3} } \\ = \frac{2}{3} [/tex]

[tex](1 - \frac{1}{10} ) ^{3} \\ = ( \frac{10 - 1}{10} ) ^{3} \\ = (\frac{9}{10} {)}^{3} \\ = \frac{ {9}^{3} }{ {10}^{3} } \\ = \frac{729}{1000} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

5+5=10

Step-by-step explanation:

i dont understand

Answer:

2x-6 I think

Step-by-step explanation:

Answer: D.25

Step-by-step explanation:

Since they gave you P(10) You'll have to substitue 10 wherever you see the variable 10.

2(10)+5

 2(10)=20

20+5+25

Answer:

25

Step-by-step explanation:

Since they're asking you to find the value of p(10) when t is 10, you would substitute t out for 10 in the function and then solve.

p(10)=2(10)+5

p(10)=20+5

p(10)=25

Answer:

1.

1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.

2.

a. 1.25 / 0.5 = $2.50 per L

2.35 / 1.5 = $1.57 per L

3.25 / 2 = $1.63 per L

b. 2.50 x 8 = $20.00 per 8 L

1.57 x 8 = $12.56 per 8 L

1.63 x 8 = $13.04 per 8 L

Step-by-step explanation:

find unit rate (cost / quantity)

Answer:

2038 that's a answer po because hindi kasali ang 10

The exponent is represented as [tex]A=2*10^{4}[/tex] where the resulting quotient has 10 raised to the power of 4.

Given data:

To perform the given division of  [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex] , we can use the properties of exponents and arithmetic operations.

When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:

So, the exponent is represented as A.

The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.

Now, the value of  [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex].

Now, simplify the exponent expression:

[tex]A=\frac{4*10^{2+2}}{2}[/tex]

[tex]A=2*10^{4}[/tex]

Hence, the exponential form is [tex]A=2*10^{4}[/tex].

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Step-by-step explanation:

Formulas and Formats we'll be using:

Slope Formula: [tex]m=\frac{y2}{x2} -\frac{y1}{x1}[/tex]

Slope-Intercept form: [tex]y=mx+b[/tex]

m = slope

b = y-intercept

Substitute (-6, 10) and (-3, -2) into the slope formula:

[tex]m=\frac{-2}{-3} -\frac{10}{-6}[/tex]

Simplify:

[tex]m=\frac{-12 \div 3}{3 \div 3}=\frac{-4}{1}[/tex]

[tex]m=-4[/tex]

*Per every -4 y, x increases by 1.

Points Included:

(-6, 10)

(-5, 6)

(-4, 2)

(-3, -2)

(-2, -6)

(-1, -10)

(0, -14)

Y-intercept:

Y-intercept represents x when it's equal to 0.

Using our points, we can determine that the y-intercept is at the point:

(0, -14)

-14 is the y-intercept.

Create a Slope-intercept form equation:

Formula: [tex]y = mx + b[/tex]

Substitute the slope, and y-intercept into the equation:

[tex]y=-4x-14[/tex]

Your equation is: [tex]y=-4x-14[/tex]

Answer:

-4.5, -0.5, 0.3, 0.7, 2.3

Step-by-step explanation:

The higher the negative number the lower it really is.

Answer:

-4.5, -.5, .3, .7,2.3

Step-by-step explanation:

Answer:

E is (5, 1)

Step-by-step explanation:

Let E be the point (x, y).

(-3 - x)^2 + ( 7 - y)^2 = 10^2   ( Pythagoras theorem)

Now 64^2 + 36^2 = 10^2 so we try:

(-3 - 5)^2 + ( 7- 1)^2 = 100

Giving x = 5 and y = 1 which looks right from the diagram.

Answer:

These should be the answers you are looking for.

A: 62

B: 8.9

C: 2.8

This should be correct, but please tell me if it isnt.

Explanation:

The simplest way to figure this out is by counting how many marks there are on the number line. If the numbers are betweeen 1 and 2 on a number line for example, youll want to use decimals.

Example of a problem:

I--I--I--I--I--I--I--I--I--I--I

1               ^              2

Count the markings like this: 1.1, 1.2, 1.3, 1.4, 1.5 .

the furthest you can go with a decimal until you get a full number is 0.9.

If you are solving a question with full numbers (example: 20 through 30), you would count normally.

I--I--I--I--I--I--I--I--I--I--I

20           ^              30

The answer would be 25 for this one.

I hope this helps you out in the future.

Math definetly sucks, especially common core. I feel you.

Answer:

2vx

20ce

30a^2

30xw^2

42m^3n^2

24a^2c^2x^3

7n

8x

6wx

3ac^2

6wx^2

6a^2c

instead of writing ^2/^3 (which means to the power of 2/3), use symbol input which it tells you in the question

Matrix:-

[tex]\\ \sf\longmapsto \left[\begin{array}{ccc}\sf 2 &\sf -7 &\sf 4\\ \sf 1&\sf -3 &\sf 3\end{array}\right][/tex]

I hope you have your answer now

a =  2t+32=c

b= 2*10=20+32=52oz of coffee

I think this is right

Answer:

35

Step-by-step explanation:

1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.

Therefore, the answer is 35.

Answer:

so x = 80

Step-by-step explanation:

Any triangle, no matter what type will add up to a total of 180, so 70+30= 100, and you now subtract that 100 from 180 and you 80