Henry can write 5 55 pages of his novel in 3 33 hours.how many pages can Henry write in 8 88 hours?

[tex]R.H.S\\\\= (a+b)(a^2-ab +b^2)\\\\=a^3-a^2b +ab^2+ba^2-ab^2+b^3\\\\=a^3+b^3\\\\=L.H.S\\\\\text{Hence, proved.}[/tex]

Step-by-step explanation:

Price of 3 kg carrots = 1.80

Price of 1 kg carrots = 1.80 ÷ 3 = 0.6

Price of 2 kg carrots = 0.6 x 2 = 1.2

Remaining amount = 3.45 - 1.2 = 2.25

Price of 5 kg potatoes = 2.25

Price of 1kg potatoes = 2.25 ÷ 5 = 0.45

Now

Cost of 4 kg of carrots = 0.6 x 4 = €2.4

Cost of 2 kg of potatoes = 0.45 x 2 = €0.9

The total cost of 4kg of carrots and 2 kg of potatoes is £3.30

Total cost is the product of the cost of each unit and the number of units purchased.

As it is given that the cost of 3 kg carrot is £1.80, therefore, the cost of 1 kg of carrot can be written as,

[tex]\text{Cost of 1 kg carrot}=\dfrac{\text{Total cost of carrot}}{\text{Total amount of carrot}}[/tex]

                              [tex]=\dfrac{\£1.80}{3}\\\\= \£0.60[/tex]

Thus, the cost of 1 kg carrot is £0.60.

Now., as it is given that the cost of 2 kg carrot and 5 kg potatoes is £3.45, therefore, the cost of 5 kg potatoes can be written as,

[tex]\text{Total cost}=\text{Cost of 2 kg carrot}+\text{Cost of 5 kg potatoes}[/tex]

[tex]3.45= (0.60 \times 2) + \text{Cost of 5 kg Potatoes}\\\\\text{Cost of 5 kg Potatoes} = 2.25[/tex]

Further, the cost of each kg of potatoes can be written as,

[tex]\text{Cost of 1kg of potatoes}=\dfrac{\text{Cost of 5 kg Potatoes}}{\text{Total amount of potatoes}}[/tex]

                                      [tex]=\dfrac{2.25}{5}\\\\=0.45[/tex]

Thus, the cost of each kg of potatoes is £0.45.

Further,  the total cost of 4kg of carrots and 2 kg of potatoes can be written as,

[tex]\text{Total cost }=\text{Cost of 4kg of carrots} +\text{Cost of 2 kg of potatoes} \\\\\text{Total cost }=(4 \times 0.60)+(2\times 0.45)\\\\\text{Total cost }= 2.24+0.90=\£3.3[/tex]

Hence, the total cost of 4kg of carrots and 2 kg of potatoes is £3.30

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Answer:

Infinitely Many Solutions

Step-by-step explanation:

[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]

Answer:

The first 10 digits of pi (π) are 3.1415926535. The first million digits of pi (π) are below, got a good memory? Then recite as many digits as you can in 30 ...

Step-by-step explanation:

Answer:

  x < -3 or x > 4

Step-by-step explanation:

The product of the factors is 4th-degree, and the leading coefficient is 1 (positive).

The factors tell you the following about the zeros:

  x = -3 . . . sign change from + to -

  x = -1 . . . graph touches, but no sign change. - on either side of x=-1

  x = 4 . . . sign change from - to +

__

The function will be positive for x < -3 and for x > +4.

_____

Additional comments

The value of the function is zero when any of its factors is zero. The value of a factor changes sign when the value of x changes from one side of the 0 to the other. For example, here, we have x+1 as a factor, so x=-1 is a zero. When x = -0.9, the factor is positive (-0.9 +1 = 0.1). When x = -1.1, the factor is negative (-1.1 +1 = -0.1). If this factor were to the first power, it would cause the value of the function to change sign at x=-1.

However, the factor (x+1) has an even power: (x+1)^2. That means when the factor is negative, its square is positive, and when the factor is positive, its square is positive. In short, the factor (x+1)^2 causes the function to be zero at x=-1, but does not make the function change sign there.

The product of all of these factors will result in a polynomial with x^4 as the highest-degree term. That means the function is of even degree. The leading coefficient is 1, so is positive, and the function will generally have a U-shape. The left-most (odd-degree) zero will be where the function changes sign from positive to negative. The right-most (odd-degree) zero will be where the function changes sign from negative to positive. Those zeros are x=-3 and x=+4, respectively. There are no places between these where the function changes sign, so these zeros are the ends of the regions where the function is positive (>0).

Answer:

B)16(2+3) is equivalent to 32+48

Answer:

Step-by-step explanation:

Find the slope:

Going from (-4,5) to (-2,-1):

Rise = (-1 - 5) = -6

Run = (-2-(-4) =  2

Slope = Rise/Run = (-6/2) = -3

y = mx + b

y = -3x + b

Find b by using either given point.  I'll use (-2,-1)

y = -3x + b

-1 = -3(-2) + b

b = -7

See attachment.

---

y = -3x-7

Answer:f=103.444

Step-by-step explanation:

took this test and got an A++

The value of the function [tex]f(x)=7+2x[/tex]  for [tex]f(7)[/tex] is 21.

The given functions are [tex]f(x)=7+2x[/tex] and [tex]g(x)=5x-2[/tex].

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To find [tex]f(7)[/tex], substitute [tex]x=7[/tex] in [tex]f(x)=7+2x[/tex], we get

[tex]f(7)=7+2(7)[/tex]

[tex]f(7)=21[/tex]

Therefore, the value of the function [tex]f(x)=7+2x[/tex]  for [tex]f(7)[/tex] is 21.

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Step-by-step explanation:

81m2 = 36

m2 = 36/81

m2 = 4/9

Square root on both sides

m = 2/3

Answer:

Step-by-step explanation:

i hope this help have a great day!

Answer:

1 oz of cream cheese to every 2 oz of condensed milk

Step-by-step explanation:

We can completely disregard whipped topping because it does not ask for it.

We have 6 ounces of cream cheese to 12 ounces of condense milk. We can write this as a ration:

6:12

6 oz cream cheese:12 oz condensed milk

The question is basically asking to simplify 6:12

Since the greatest commond factor is 6, we can divide both sides by 6 and get:

1:2

Therefore, there is 1 oz of cream cheese to every 2 oz of condensed milk

Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17

Answer:

tans=0.8770580193

Step-by-step explanation:

[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]

[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]

Answer:

Step-by-step explanation:

Given:

Find the number of Science Society members:

Find the total number of group members:

Find the number of Mathematics Society members:

Answer:

[tex]y \leqslant -x + 1[/tex]

Step-by-step explanation:

First write the equation of the line with either inequality sign, like so:

[tex]y \geqslant -x + 1[/tex]

Then check to see if the equation is true. The easiest way to do this is to plug the coordinates (0,0) into the equation:

[tex]0 \geqslant -0 + 1 \\ 0 \geqslant 1[/tex]

Since 0 > 1 is false, you know that the correct inequality must be:

[tex]y \leqslant -x + 1[/tex]

If you want to check this, plug the coordinates (0,0) into the equation:

[tex]0 \leqslant -0 + 1 \\ 0 \leqslant 1[/tex]

Since 0 < 1 is true, you know this equation is correct.

I hope that helped! If I made a mistake, just let me know.

Answer:

rise/run= -20/5= -4/1=-4 slope

or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

-4

Hope this helps

Answer:

c

Step-by-step explanation:

x=48, y=110

Explanation:

55-7=48

55+55=110

The domain is the set of all allowed x values. In this case, we consider the whole numbers between 0 and 10. So we have x = 0, x = 1, x = 2, ... all the way up to x = 10.

To find the y values, you replace each x with the numbers mentioned and simplify.

For instance, if x = 2, then,

f(x) = 3.50x

f(2) = 3.50*2

f(2) = 7

This tells us that x = 2 packages cost y = 7 dollars.

Answer:

x-intercept: -3 y-intercept: 3

Step-by-step explanation:

Substitute 0 for both variables.

-(0)=3

(0)=3

Answer:

x intercept: [tex](-3,0)[/tex] y-intecept: [tex](0,3)[/tex]

Step-by-step explanation:

So their is two ways to do this.  

OPTION 1:

Turn the standern form into slope intercept.

[tex]-x+y=3[/tex]

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

When [tex]y=0, x=-3[/tex]

Therefore, the y-intercept is 3, and the x-intercept is -3

OPTION 2:

Graph the eqaution, and see where it intercepts

Using desmos, you can graph the equation, then see where it intercepts

It intercepts the x-axis at -3, and the y-axis at 3

Answer:a grocery worker is checking in for broken eggs in a cartoons 12 x 4 c 9

Step-by-step explanation:

Answer:

The answer is 191.

Hope that helps. x

Answer:

191

Step-by-step explanation:

12+23=35

67+10=77

19+60=79

Now let's add all three numbers

35+77+79=191

Hope this helps!

Answer:

  a) S gets tends to infinity

  b) S tends to zero

Step-by-step explanation:

As you know, dividing by larger numbers makes a quotient smaller. The converse is also true: dividing by smaller numbers makes the quotient larger.

__

a) The area of the label will get larger as r gets closer to zero. It will tend toward infinity.

__

b) The area of the label will get smaller as r gets larger. It will tend toward zero.

Answer:

SSS

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

SSS means Side Side Side and there are no angles here

Answer:1848

Step-by-step explanation:

good luck with the test or whatever you are doing