Two friends Vicky and Love start a business together. They decided to share their capitals depending upon the variable

expenditure. The capital of the two

partners together is given by polynomial 6x+10x -35, which is the product of

their individual share factors.

On the basis of the above information,

answer the following questions.

i) The total expenditure of Vicky and Love

when x = 10 is (in )

(a) 375 (b) 475

(c) 575 (d) 675

(ii) The shares of the Vicky and Love

individually is

(a) 2x +7, 3x -

5

(b) 3x -5, 2x +7

(c) Both (a) and (b)

(d) None of the above

(iii) The value of x, when their shares are

equal

(a) 12 (b) 10

(c) 8 (d) 6

(iv) The value of x, when their total share is

equal tob0

7

(a)- (b) 3

(c) Both (a) and (b) (d) None of these

(v) The sum of their expenditure is

(a) 5r -2 (b)5x+2 (c) 4x-2 (d) 4x+2​

Answer:

$47.60

Step-by-step explanation:

[tex]18+\frac{148}{5} =47.60[/tex] ($)

The equation of the red graph is g(x) = 6 - [tex]x^4[/tex].

Thus, option (B) is correct.

Given:

Function 1 : f(x) = 3 - [tex]x^4[/tex]

As, the y-intercept is the point where a line or curve intersects the y-axis.

It is the value of y when the corresponding x-coordinate is zero. It is the point(s) where the graph crosses the y-axis.

Now, from the graph of function f(x) has the intercept 6.

Also, the graph of function g(x) is 3 unit up from the function f(x).

So, the equation of g(x) will be

= f(x)  + 3

= 3 - [tex]x^4[/tex] + 6

= 6 - [tex]x^4[/tex]

Thus, option (B) is correct.

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Answer:

Yes, I agree

Step-by-step explanation:

See attachments for cone

Cone A

[tex]h = 2r[/tex]

Cone B

R = 2r

[tex]h=r[/tex]

The volume of a cone is

[tex]V = \frac{1}{3}\pi r^2h[/tex]

For cone A, we have:

[tex]V = \frac{1}{3}\pi r^2*2r[/tex]

[tex]V_A = \frac{2}{3}\pi r^3[/tex]

For cone B, we have:

[tex]V = \frac{1}{3}\pi *(2r)^2 * r[/tex]

[tex]V = \frac{1}{3}\pi *4r^2 * r[/tex]

[tex]V_B = \frac{4}{3}\pi r^3[/tex]

So, we have:

[tex]V_B = 2 * \frac{2}{3}\pi r^3[/tex]

Substitute [tex]V_A = \frac{2}{3}\pi r^3[/tex]

[tex]V_B = 2 * V_A[/tex]

Make VA the subject

[tex]V_A = \frac{1}{2}V_B[/tex]

Hence, I agree with Ahmad

Answer:

a=3/2   b=-1 1/2

Step-by-step explanation:

Answer:

hundredths

Step-by-step explanation:

Numbers after the decimal start with

tenth

hundredth

Answer:

(3,-5)

Step-by-step explanation:

We first cal ulate the distance

Step-by-step explanation:

1.V=LWH L is the length, W is the width and H is the height.

12×6×3=216

2.V=Ah A is the area of the base, h is the height

18×16=288

3.V=LWH L is the length, W is the width and H is the height

10×14×5=700

Answer:

15

Step-by-step explanation:

525/4 ÷ 35/4

=525/4 x 4/35

=525/35

=105/7

=15/1

=15

Answer:

90 or -270

Step-by-step explanation:

Answer:  To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

Everytime it goes up by one the y goes down by 1 so it would be -1.

The average rate of change of the function in the table given is: -1.

Average rate of change of a function = change in y / change in x = rise/run.

Given the table representing a function, and using two set of ordered pairs, (-2, 7) and (0, 5):

Average rate of change of the function = (7 - 5)/(-2 - 0)

Average rate of change of the function = 2/-2

Average rate of change of the function = -1.

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Answer:

answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1

= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms

= x² + 2x + 1 → A

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

Answer:

a) 21/50   -> 42%

b) 7/10  ->70%

c) 3/5 -> 60%

d) 59/100 -> 59%

Step-by-step explanation:

Answer:yes, base = 9. No, the exponent is not variable. yes, base =9/10.

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

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Answer:

9x^2 + 27x + 18

Step-by-step explanation:

(9x + 9)(x + 2)

=9x(x + 2) +9(x + 2)

=9x^2 + 18x + 9x + 18

=9x^2 + 27x + 18

Step-by-step explanation:

The area of a circle = pi r^2

d = 2r Divide by 2 to get the radius

r = d/2

The diameter = 2.8 cm

r = d/2

r = 2.8/2

r = 1.4

The area of the circle = pi * r^1

The area of the circle = 3.14 * 1.4^2

The area of the circle = 6.1544

But you are working with a semic circle

The area of a semicircle is 1/2 that of a circle

Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded

Answer:

x=1

Step-by-step explanation:

7x-1+2x-1=7

7x+2x-1-1=7

9x-2=7

9x=7+2

9x=9

9x/9=9/9

x=1

Answer:

$527

Step-by-step explanation:

Find how much she has left by subtracting 287 from 814:

814 - 287

= 527

So, she has $527 left in her account

Answer:

6.25

Step-by-step explanation:

3x+25=7x

3x-7x=-25

-4x=-25

x=6.25

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

Answer:

60

Step-by-step explanation:

Given: 1/2a + 2/3b =50

(Since b is equal to 30 we will automatically replace b with 30)

Step 1: Simplify both sides of the equation.

1/2a+20=50

Step 2: Subtract 20 from both sides.

1/2a=50-20

1/2a=30

Step 3: Multiply both sides by 2.

2(1/2a) 2(30)

a=60

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

a = 15

Step-by-step explanation:

1/2(a) + (2/3 x 30) = 50

2/3 x 30 = 20

1/2(a) + 20 = 50

Rearrange > 20 to -20

-20 + 50 = 30

1/2(a) = 30

Rearrange 1/2 to 2

2 > 30/2

30/2 = 15

a = 15

Hope this helps, and please let me know if it is correct or isn't.

Have a nice day

Answer:

200 vs 230

$30

Step-by-step explanation:

Option C with h and k

see screenshot for an example

general formula is

r² = (x - x-center)² + (y - y-center)²

Answer:

-2x-11=0

1) Add 11 to both sides

Dividde both sides by - 2

X= _11/2

Drcimal form: - 5.5

Answer:

-1 is the only number there that is an integer as all the rest of them are mixed fractions.

Answer:

- 1

Step-by-step explanation:

Answer: $4.88

Explanation: $20.00-$5.36= $14.64

$14.64÷3= $4.88

Answer:

option alphabet c is the answer

Answer: y =2x-5

Work:

2x-y=5

-y=-2x+5

-1y/-1 = -2x+5/-1

y =2x-5