6 square root -16 + 4 square root -49

Answer:

b = 36

Step-by-step explanation:

perfect square: a² -  2ac + c²

4x²- bx + 81 = (2x)² - bx + 9² = (2x)² - 2*(2x)*(9) +9²= (2x)² - 36x +9²,

so b = 36

-6x-32/5=14 because the 32 has nothing to do with the problem the correct answer is -35/4, -30/5

Answer:

  4.6

Step-by-step explanation:

There are a number of "improvement" techniques that can be used to improve an estimate of a solution to a polynomial. Some of them use the polynomial itself to form the iterator function.

There are a number of ways we can solve the given equation for x. Often, at least one of these will converge when used for improving the estimated value of x.

  x₁ = (x^3 -72)/6 . . . . . . . add 6x-72, divide by 6

  x₂ = 72/(x^2 -6) . . . . . . . factor out x and divide by its coefficient

  x₃ = ∛(72 +6x) . . . . . . . add 6x and take the cube root

The first two of these iterators tend to diverge. For x = 4.5, they give ...

  x₁ = (4.5³ -72)/6 = 3.1875

  x₂ = 72/(4.5² -6) = 5.0526

Both of these stray out of the given interval of [4, 5].

However, the third one tends to converge, so can give us a useful approximation in one iteration:

  x₃ = ∛(72 +6×4.5) ≈ ∛99 ≈ 4.6261

Applying this again, we get ...

  x ≈ ∛(72 +6·4.6261) ≈ 4.6378

The approximate root to 1 decimal place is 4.6.

__

Additional comment

One of the quickest converging iterators is that provided by Newton's method. For finding the solution to f(x) = 0, it uses ...

  x₁ = x -f(x)/f'(x) . . . . . . . where f'(x) is the first derivative

For this problem, we can define ...

  f(x) = x^3 -6x -72   ⇒   f'(x) = 3x^2 -6

  x₁ = x -(x^3 -6x -72)/(3x^2 -6) = (3x^3 -6x -x^3 +6x +72)/(3x^2 -6)

  x₁ = (2x^3 +72)/(3x^2 -6)

Then for x = 4.5, the "improved" solution is ...

  x₁ = (2(4.5³) +72)/(3(4.5²) -6)) = 254.25/54.75 = 339/73 ≈ 4.6438

A second iteration gives ...

  x ≈ 4.639026 . . . . accurate to 5 decimal places

With this iterator, the number of accurate decimal places tends to double with each iteration.

The equation representing the inverse relation is given by -

x = 15k/y.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a equation that represent inverse variation between x and y.

The equation for inverse relation comes from the equation of straight line. We can write -

x = m/y

xy = m

for m = 15k -

xy = 15k

x = 15k/y

Therefore, the equation representing the inverse relation is given by -

x = 15k/y.

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Answer:

width of the building = 30 feet

Length of the building = 55 feet

Step-by-step explanation:

On blue print:

Width = 3 inches, length = 5.5 inches

scale factor = 10 inches

Therefore, actual dimensions of the building would be as given below:

width of the building = 3 * 10 = 30 feet

Length of the building = 5.5 * 10 = 55 feet

---------------------------------------------------------------------

6x^2y − 3xy − 24xy^2 + 12y^2

Apply exponent rule:

6x^2y-3xy-24xyy+12yy

Rewrite 12 as 4*3

Rewrite -24 as 8*3

Rewrite 6 as 2*3

2*3x^2y-3xy+8*3xyy+4*3yy

Factor out common term 3y:

3y(2x^2-x-8xy+4y)

Factor 2x^2-x-8xy+4y:

3y(2x-1)(x-4y)

Your Answer Is 3y(2x-1)(x-4y)

plz mark me as brainliest if this helped :)

The factor of 6x²y − 3xy − 24xy² + 12y² is 3y(2x - 1)(x - 4y)

Given:

6x²y − 3xy − 24xy² + 12y²

find the highest common factor of all the coefficient of each term

6 = 1, 2, 3, 6

6 = 1, 2, 3, 63 = 1, 3

6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 24

6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 2412 = 1, 2, 3, 4, 6, 8, 12

The highest common factor of all the coefficient of each term is 3

So,

6x²y − 3xy − 24xy² + 12y²

= 3y(2x² - x - 8xy + 4y)

(2x² - x - 8xy + 4y) = (2x - 1)(x - 4y)

Therefore,

6x²y − 3xy − 24xy² + 12y = 3y(2x - 1)(x - 4y)

Read more:

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Answer:

B

Step-by-step explanation:

On a coordinate plane, an exponential function increases in

quadrant 3 into quadrant 4 and approaches y = 0. It goes through

(negative 1, negative 2) and crosses the y-axis at (0, negative 0.25) ⇒ last answer

HOPE IT HELPS ....

Answer:

3,200,000,000,000,000,000,000,000

Step-by-step explanation:

(11 × [tex]10^{11}[/tex])(12×[tex]10^{12}[/tex])

(11 × 100,000,000,000)(12×1,000,000,000,000)

(1,100,000,000,000)(12,000,000,000,000)

3,200,000,000,000,000,000,000,000

Answer:

3,200,000,000,000,000,000,000,000

Step-by-step explanation:

(11 × )(12×)

(11 × 100,000,000,000)(12×1,000,000,000,000)

(1,100,000,000,000)(12,000,000,000,000)

3,200,000,000,000,000,000,000,000

Answer:

the rectangle by 170 square inches, let me know if im right :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3a - 5 = -4b + 1

3a = -4b + 6

a = (-4b + 6)/3

h(a) = (-4b + 6)/3

Answer:

h(a) = [tex]\frac{6-3a}{4}[/tex]

Step-by-step explanation:

Given

3a - 5 = - 4b + 1

Rearrange making b the subject

Add 4b to both sides

4b + 3a - 5 = 1 ( add 5 to both sides )

4b + 3a = 6 ( subtract 3a from both sides )

4b = 6 - 3a ( divide both sides by 4 )

b = [tex]\frac{6-3a}{4}[/tex] , thus

h(a) = [tex]\frac{6-3a}{4}[/tex]

Answer:

4(x - 5)(x - 8)

Step-by-step explanation:

Given

4x² - 52x + 160 ← factor out 4 from each term

= 4(x² - 13x + 40) ← factor the quadratic

Consider the factors of the constant term (+ 40) which sum to give the coefficient of the x- term (- 13)

The factors are - 5 and - 8, since

- 5 × - 8 = + 40 and - 5 - 8 = - 13, thus

x² - 13x + 40 = (x - 5)(x - 8)

Then

4x² - 52x + 160 = 4(x - 5)(x - 8)

The formula for the volume of a sphere is given by

V = (4/3)πr3

Since the radius is 7 cm, let's substitute that in:

V = (4/3)(3.14)(7 cm)3

V = 1436.755 cm3 = 1437 cm3, rounding to the nearest whole unit as requested.

Answer: The volume is about 1436.01

Step-by-step explanation:

so since a snowball is like a sphere we would use the sphere formula to calculate the volume of the snowball.

Formula of a sphere ; 4/3*π * r^3

v= 4/3 * 3.14 * 343

v= 1435.01

Answer:

304 pi in ^2

Step-by-step explanation:

The surface area of a cylinder is given by

SA  = 2 pi r^2 + 2 pi rh  where r is the radius and h is the height

SA = 2 * pi * 8^2 + 2 * pi * 8 * 11

SA = 128 pi + 176 pi

SA =304 pi

Answer: 304 pi

Step-by-step explanation:

!

Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2        

    Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

     = 4 so the semicircle area is

    (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

   First of all, angle ACB is a right angle ( i.e. 90 degrees).

     * This is the Theorem of Thales from elementary Plane Geometry. *

  so by Pythagoras

    AC^2 + BC^2 = AB^2

 But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

 Substituting these in Pythagoras gives

    AC^2 + 4^2 = 8^2 or

    AC^2 = 8^2 - 4^2- = 64 - 16 = 48

    Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

   (1/2) b * h = (1/2)  BC * AC = (1/2) 4 * (4 * sqrt(3)) =  8 sqrt(3)

We conclude the area area of the shaded part is

  8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!

 Andrea is incorrect. Given 3 tiles will not fit together perfectly.

As shown in the picture,

If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.

Expression for the measure of the interior angle of a polygon,

Interior angle of a polygon = [tex]\frac{(n-2)\times 180^\circ}{n}[/tex]

Interior angle of a pentagon = [tex]\frac{(5-2)\times 180^\circ}{5}=108^\circ[/tex]

Interior angle of a hexagon = [tex]\frac{(6-2)\times 180^\circ}{6}=120^\circ[/tex]

Interior angle of an octagon = [tex]\frac{(8-2)\times 180^\circ}{8}=135^\circ[/tex]

To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°

Sum of all interior angles = 108° + 120° + 135°

                                          = 363°

   Therefore, given tiles will not fit together perfectly.

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Answer:

The special features of a polynomial graph are sharp corners but in these types of graphs it also has smooth curves. Polynomial graphs functions also display graphs that have no breaks.Curves with no breaks are called continuous.

Step-by-step explanation:

Answer:

~49.9

Step-by-step explanation:

To get the mean, we must add all the numbers then divide by the amount of numbers there were.

42 + 45 + 58 + 63 + 52 + 42 + 47 = 349

Since we have 7 numbers we can do

349/7 ~ 49.9

Answer: 49.8 (50 if rounded to the nearest ones place)

Step-by-step explanation: First, let's put the number from greatest to least...and we also have to add all the numbers...

42 + 42 + 45 + 47 + 52 + 58 + 63 = 349

Lastly, we have to divide the total by how many numbers there are on the data set...there's 7

349 ÷ 7 = 49.8 (50 if rounded to the nearest ones place)

Therefore, the mean is 49.8 or 50, I hope this helps!

Hi!

I'm happy to help you today!

You would have 25 Dimes and 1 nickel!

This is because

1 Dime = 10 Cent's

1 Nickel = 5 Cent's

So if you add them up like so, you get the amount of $ 2.55!

-LimitedLegxnd

-If you are happy with my answer make sure to hit that heart! Also to show others how helpful my answer is rate my by clicking the stars!

Answer: A

Step-by-step explanation:

Jacks beanstalk grew 2 units everyday

Answer: a.

Step-by-step explanation:

Each units grows by two units every day.

Critical thinking? We're in trouble.  It's hard for me to tell what grade this is.

Stem and leaf is fine but let's just write out the data.

Rich: 35 37 41 42 43 44 45 48 50 55   n=10

Will: 42 43 44 44 46 47 47 48 49 50    n=10

Use measures of center and measures of variation ...

The three measures of center typically used are the mean, the median and the mode.

Rich's sum = 440 so Rich's mean = 440/10 = 44

Rich's middle values are 43 and 44 so Rich's median = 43.5

All Rich's scores are unique so he doesn't really have a mode.

Will's sum = 460, Will's mean = 460/10 = 46

Will's middle numbers are 46 and 47 so median 46.5

Will's data has two modes tied, 44 and 47.  

OK, so far these say Rich is a better golfer; he has lower mean and median scores than Will.  (Low score is better in golf.)

Let's look at measures of variation.  I'm guessing that they don't want to you calculate standard deviation.  So we'll do range and mean absolute deviation.

The range is max-min.

Rich's range is 55-35=20

Will's range is 50-42=8

Will is more consistent.

Rich's mean is 44, his scores are here; let's calculate absolute deviation:

Score    35 37 41 42 43 44 45 48 50 55

AbsDev  9   7    3  2   1   0     1   4   6 11

Rich's deviations add to 44 so his MAD is 4.4

Will's mean is 46

Score: 42 43 44 44 46 47 47 48 49 50

AbsDev 4  3  2    2  0    1   1     2    3   4

The sum is 22, Will's MAD is 2.2

Based on the measures of variation, Will is a more consistent golfer.  He's on average worse than Rich, but he always manages to stay pretty close to his average while Rich is all over the place.

Still I'd go with Rich for the tournament.

Answer:$90,000

Step-by-step explanation:

3,000*30=90,000

Answer: 90k

Step-by-step explanation:

3k per day x 30 days

Answer: 6% per year

Step-by-step explanation:

SI = PRT / 100

18 = (200 x r x 1.5)/ 100

Answer:

B is correct ;)

Step-by-step explanation:

i just did it haha

The option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².

A function is defined as a relationship between a set of inputs that each have one output.

Notice that the function g(x) passes through the point (2,1). So, the functional value of g(x) at x = 2, i.e. g(2) = 1.

Check which option match this criterion.

Now, for option A,

g(x) = (1/2)x²

and g(2) = (1/2)×2² = (1/2)×4 = 4/2 = 2 ≠ 1

So, option A is incorrect.

For option B,

g(x) = ((1/2)x)²

and g(2) = ((1/2)×2)² = (2/2)² = 1² = 1

So, option B is correct.

Therefore option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².

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Answer:

The approximate volume of the tube  is 1,005 cm³

Step-by-step explanation:

To find the volume of the tube, we will follow the steps below:

First, write the formula for calculating the volume of a cylinder

volume of a cylinder = πr²h

where r is the radius and h is the height of the cylindrical cardboard tube

from the question given, height is equal to 20 centimeters    and             diameter = 8 centimeters  but diameter = 2r, this implies that r = d/2   hence radius r =8/2 = 4 centimeters

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

volume of a cylinder = πr²h

                                 ≈ 3.14 × 4²× 20

                                   =3.14 × 16× 20

                                    ≈1,005 cm³ to the nearest whole cubic centimeter.

The approximate volume of the tube  is 1,005 cm³

Answer:

A

Step-by-step explanation:

edge 2021

Answer:

[tex]y =\frac{2}{5}x[/tex]

Step-by-step explanation:

To find the equation, we need to use two points, which can be (0,0) and (5,2).

First, we find the slope

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{2-0}{5-0}=\frac{2}{5}[/tex]

Therefore, the slope for the equation is 2/5.

Now, we use the point-slope formula to find the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-0=\frac{2}{5}(x-0)\\y =\frac{2}{5}x[/tex]

Therefore, the equation that represents this situation is [tex]y =\frac{2}{5}x[/tex]

Slope = change in Y /  change in x

Slope = (-2 - -2) / (-9 - -1)

Simplify:

Slope = 0/-8 = 0

Slope = 0

Answer:11/36

Step-by-step explanation:there are 36 shirts in total and only 11. So you have an 11/36 chance

Answer:

1. Doncastle

2. Olly

3.

4. thousand

5. 123

231

321

213

132

213

6. 3.45

Step-by-step explanation:

I hope my answer was the brainliest

Answer:

1) Doncastle

2) Olly

3) 2, 9.5, 15, 17, 18, 21, 22

4) 7000

5) 123, 132, 231, 321, 213, 312

6) 3.45