If x-a is a factor of polynomial x3-mn2-2nax+na2 prove that a=m+n and a is not = 0

Answer:

Question 2;

A. 25·x²·y²²

Question 3;

f(g(x)) = 4·x, represents the amount Aurora earns per hour

Step-by-step explanation:

Question 2;

(5·x·y⁵)²(y³)⁴ = (25×x²×y¹⁰)×y¹²

(25×x²×y¹⁰)×y¹² = 25×x²×y¹⁰⁺¹² = 25×x²×y²²

Therefore, the correct option is A. 25·x²·y²²

Question 3;

The given functions are;

The function f(x) = 0.5·x is the earnings of Aurora per ticket sold

The function g(x) = 8·x is the number of tickets Aurora sells per hour

Therefore, we have;

f(g(x)) = 0.5 × g(x) = 0.5 × 8·x = 4·x

The value of the function of a function f(g(x)) = 4·x, represents the amount Aurora earns per hour.

Because area is multiplication lets multiply the sides and make an equation:

A 2(n-3) = 24

n-3=(12)

B n= 15

15-3 = 12

12 x 2 = 24

Answer:

2(n-3)=24

n=15

Step-by-step explanation:

2(n-3)=24

2n-6=24

2n=30

n=15

Answer:

63 and 53

Step-by-step explanation:

you could use trail and error. So:

13+23=9

33+43=91

63+73=559

53+63=341

Answer:

y = - 6, y = 4

Step-by-step explanation:

Given

2y² + 4y - 48 = 0 ( divide through by 2 )

y² + 2y - 24 = 0

Consider the factors of the constant term (- 24) which sum to give the coefficient of the y- term (+ 2)

The factors are + 6 and - 4 , since

6 × - 4 = - 24 and 6 - 4 = + 2 , thus

(y + 6)(y - 4) = 0

Equate each factor to zero and solve for y

y + 6 = 0 ⇒ y = - 6

y - 4 = 0 ⇒ y = 4

Answer:

Step-by-step explanation:

2y² + 4y - 48 = 0

2y² +  12y -  8y  + (-8)* 6 = 0

         2y(y + 6) - 8(y + 6) =0

                 (y + 6) (2y - 8)= 0

y + 6 = 0    ; 2y- 8 = 0

     y = -6            2y = 8

                             y = 8/2

                             y = 4

Solution: y = -6 , 4

Answer:

the answer is 41

Step-by-step explanation:

C. 41

Step-by-step explanation:

Answer:

i dont know if you want me to solve for m

Step-by-step explanation:

Let's solve for m.

Answer:

6x-21

Step-by-step explanation:

Area of a rectangle is length times width.

3*(2x-7)-

6x-21

Answer:

6x - 21

Step-by-step explanation:

Since area = L x W (Length x Width)

--> 3(2x - 7)

6x - 21

Answer:

Step-by-step explanation:

[tex]\sqrt{x-3} +5=x\\\sqrt{x-3} =x-5\\squaring ~both~sides\\x-3=x^2-10x+25\\x^2-10x-x+25+3=0\\x^2-11x+28=0\\x^2-7x-4x+28=0\\x(x-7)-4(x-7)=0\\(x-7)(x-4)=0\\x=7,4[/tex]

put x=7 in the given equation

[tex]\sqrt{7-3} +5=7\\\sqrt{4} +5=7\\2+5=7\\7=7[/tex]

which is true .

∴ x=7 is a solution of the given eq.

now put x=4 in the given eq.

[tex]\sqrt{4-3} +5=7\\1+5=7\\6=7\\[/tex]

which is not true.

∴x=4 is an extraneous solution.

Answer:

-10.

Step-by-step explanation:

f(x) = 2x, x = -5.

f(-5) = 2(-5)

= 2 * (-1) * 5

= 10 * (-1)

= -10.

Hope this helps!

Answer:

0

Step-by-step explanation:

Answer:

4u - 3c - 6

Step-by-step explanation:

Remove the parentheses and combine like factors.

(6u - 7c - 6) + (-2u + 4c)

6u - 7c - 6 - 2u + 4c

4u - 3c - 6

Answer:

Purchasing rate = ₹45 per kg

Profit percent = 33.33%

Step-by-step explanation:

Selling price of 1 kg fruit = ₹60

Therefore, S. P. of 40 kg fruits = 40*60 = ₹2400

Gain = ₹ 600 (given)

Cost price (C. P.) = S. P. - Gain

= ₹2400 - ₹600

= ₹ 1800

Rate of purchasing

= C. P. /quantity of fruits

= 1800/40

= ₹45 per kg

Profit percent

= (Gain* 100)/C.P.

= (600*100)/1800

= 60000/1800

=33.33%

Answer:

[tex]120^{0}[/tex]

Step-by-step explanation:

Given: pentagon (5 sided polygon), two interior angles = [tex]90^{0}[/tex] each, other three interior angles are congruent.

Sum of angles in a polygon = (n - 2) × [tex]180^{0}[/tex]

where n is the number of sides of the polygon.

For a pentagon, n = 5, so that;

Sum of angles in a pentagon = (5 - 2) × [tex]180^{0}[/tex]

                                                = 3  × [tex]180^{0}[/tex]

                                                = [tex]540^{0}[/tex]

Sum of angles in a pentagon is [tex]540^{0}[/tex].

Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;

[tex]540^{0}[/tex] - (2 × [tex]90^{0}[/tex])  = [tex]540^{0}[/tex] - [tex]180^{0}[/tex]

                       = [tex]360^{0}[/tex]

So that;

the measure of the interior angle = [tex]\frac{360^{0} }{3}[/tex]

                                                        = [tex]120^{0}[/tex]

The measure of one of its three congruent interior angles is [tex]120^{0}[/tex].

Answer:

The volume of the pyramid is 867 inch^3

Step-by-step explanation:

Here in this question, we are interested in calculating the volume of a square based pyramid.

Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.

V = a^2h/3

where a represents the length of the side of the square and h is the height of the pyramid

From the question, the length of the side of the square is 17 in while the height is 9 in

Plugging these values, we have ;

V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch

Answer:

420

Step-by-step explanation:

We need to find the LCM of 1, 2, 3, 4, 5, 6 and 7. The LCM of 1, 2, and 4 is 4 and the LCM of 3 and 6 is 6 so the list becomes the LCM of 4, 5, 6 and 7. The LCM of 4 and 5 is 20, the LCM of 20 and 6 is 60 and the LCM of 60 and 7 is 420.

Answer:

420

Step-by-step explanation:

Prime factorization:

7 = 7

6 = 2 × 3

5 = 5

4 = 2 × 2

3 = 3

2 = 2

1 =  1

LCM: 7, 6, 5, 4, 3, 2, 1

2 × 2 × 3 × 5 × 7  = 420

Answer:

i think its very interesting and pretty cool,  because there is so much to learn  and so much to explore

i wouldn't like the fact that you have to study so much though

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

2^(10)= 2x...x2 how many times  =  10 times 2

15^(57)= 15x...x15 how many times  = 57 times 15

(-4)x...x(-4) 7 times =  (-4)^(7)

(1.5)x...x(1.5) 12 times = (1.5)^(12)

Answer:

[tex]\frac{1}{20}[/tex] of a second

Step-by-step explanation:

We can convert each time into fractions.

11.74 is the same thing as [tex]11 \frac{74}{100}[/tex]

and 11.69 is the same thing as [tex]11 \frac{69}{100}[/tex].

We know that 11 - 11 = 0, so we can focus on the fractions for now.

Let's subtract [tex]\frac{69}{100}[/tex] from [tex]\frac{74}{100}[/tex].

[tex]\frac{74}{100} - \frac{69}{100} = \frac{5}{100}[/tex].

We can now simplify [tex]\frac{5}{100}[/tex] by dividing both the numerator and denominator by 5.

[tex]\frac{5\div5}{100\div5} = \frac{1}{20}[/tex].

Hope this helped!

Answer:

The product renders: [tex]-9-7\,i[/tex]

Step-by-step explanation:

Recall that the product of the imaginary unit i by itself renders -1

Now proceed with the product of the two complex numbers using distributive property:

[tex](1-5\,i)\,(1-2\,i)=1-2\,i-5\,i+10\,i^2=1-7\,i-10=-9-7\,i[/tex]

Answer:

 y = -1/2x + 4

Step-by-step explanation:

We have two points ( 8,0) and ( 0,4)

We can find the slope

m =(y2-y1)/(x2-x1)

    = (4-0)/(0-8)

    4/-8

   -1/2

We can use the slope intercept form

 y = mx+b where m is the slope and b is the y intercept

 y = -1/2x + 4

Answer:

Step-by-step explanation:

eq. of line with intercepts a and b is

[tex]\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\[/tex]

Answer:

Step-by-step explanation:

Step one:

given that the number of plants the farmer has is 2000

for him to plant in equal rows and column he needs an amount of plant the is a perfect square.

The closest number to a perfect square is 2500

Step two:

From the above figure which is 2500 plants, the farmer is able to plant 50 rows and 50 columns.

multiplying these values together will amount to 2500

Hence the farmer needs at least 500 plants to achieve this

Answer:

25

Step-by-step explanation:

Number of plants = 2000

He wants to plant such that number of rows and column of plants remain the same, Find the minimum number of plants he needs more for this:

To obtain this,

We take the square root of 2000

Sqrt(2000) = 44.721359

Therefore, the number of columns and rows we need is a natural number whereby the square root of its square is perfect (that is leaves no remainder).

The minimum number will thus be ; the next natural number or integer after 44.721359, whish is 45

Taking the square of 45

45^2 = 2025

The minimum number of plants needed more is :

2025 - 2000 = 25 plants

Answer: Line EF=2

Step-by-step explanation: 11 minus 9 is equal to 2. So line EF is equal to 2.

Answer:

[tex]\boxed{125}[/tex]

Step-by-step explanation:

Hey there!

Well 5 raised to the 3 can be written as,

[tex]5^3[/tex]

This is 5*5*5

= 125

Hope this helps :)

Answer:

The missing value is -9

Step-by-step explanation:

Given

[tex]-7 = _ -(-2)[/tex]

Required

Determine the missing value

Represent _ with a variable

[tex]-7 = x -(-2)[/tex]

Open the bracket

[tex]-7 = x -1*-2[/tex]

[tex]-7 = x + 2[/tex]

Subtract 2 from both sides

[tex]-7 - 2 = x + 2 - 2[/tex]

[tex]-9 = x[/tex]

Reorder

[tex]x = -9[/tex]

Hence, the missing value is -9

Answer:

The answer is 4=−2+6

Step-by-step explanation:

I checked on khan

Answer:

[tex]\huge\boxed{f = 5\ Hz}[/tex]

Step-by-step explanation:

Given:

Time period = T = 0.2 sec

Required:

Frequency = f = ?

Formula:

f = 1/T

Solution:

f = 1/0.2

f = 5 Hertz

Answer:

[tex] \boxed{\sf Frequency \ (f) \ of \ the \ wave = 5 \ Hz} [/tex]

Given:

Time Period (T) = 0.2 s

To Find:

Frequency (f) of the wave

Step-by-step explanation:

[tex] \sf Frequency (f) = \frac{1}{Time Period (T)} [/tex]

[tex] \sf f = \frac{1}{0.2} [/tex]

[tex] \sf f = \frac{1}{0.2} \times \frac{10}{10} [/tex]

[tex] \sf f = \frac{10}{2} [/tex]

[tex] \sf f = \frac{ \cancel{2} \times 5}{ \cancel{2}} [/tex]

[tex] \sf f = 5 \: Hz[/tex]

Answer:

358

Step-by-step explanation:

In 1995, the boys were 50 %

Take the number of people at the convention in 1995 ( 716)

and multiply by 50%

716 * 50%

716 * .50

358

Answer:

b. 358

Step-by-step explanation:

First, find what percentage of attendees were boys in 1995:

By reading the graph, we can see 50% were boys.

In the table, we can see that there were 716 attendees in 1995.

To find how many boys attended in 1995, find 50% of 716.

716(0.5) = 358

Answer:

[tex]\large \boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

Answer:

D. zero

Step-by-step explanation:

Since the graphs do not intersect, there are zero solutions.

The number of solutions on the graph is zero

The graph shows a linear equation (the straight line) and a non linear equation (the curve)

From the graph, we can see that the straight line and the curve do not intersect

This means that the graph do not have any solution

Hence, the number of solutions on the graph is zero

Read more about non-linear graphs at:

https://brainly.com/question/16274644

#SPJ5

Answer:

Options 3 and 4 are correct

Step-by-step explanation:

-3>1 is false bc a positive is always greater than a negative

-3=3 is false because a positive is not equal to a negative  

1<3 is correct because 1 is less than 3

-3<1 is correct because a negative is always less than a positive.

Answer:

1 < 3

–3 < 1

Step-by-step explanation:

Answer:

9

Step-by-step explanation: