Differentiate f(x)=(x+4)^3(x-3)^6.

Answer:

Were you looking for the x and y intercepts? The question is very misleading.

If you were the x intercepts are (4-√2,0), (4+√2,0)

And the y intercept is (0,−14)

If you did not mean this in your question please specify what you meant.

Answer:

[tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Step-by-step explanation:

Plug in given values of a, b, and c into the quadratic formula and solve for x:

[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-8±\sqrt{8^{2}-4(-1)(-14) } }{2(-1)}[/tex]

[tex]x=\frac{-8±\sqrt{64-56 } }{-2}[/tex]

[tex]x=\frac{-8±\sqrt{8} }{-2}[/tex]

[tex]x=\frac{-8±2\sqrt{2} }{-2}[/tex]

[tex]x=4±-\sqrt{2}[/tex]

Therefore, the roots are [tex]x=4-\sqrt{2}[/tex] or [tex]x=4+\sqrt{2}[/tex]

Answer:

14

Step-by-step explanation:

Answer:

area = 153.94

circumfrence = 43.98

Step-by-step explanation:

A=πr2=π·72≈153.93804

C=2πr=2·π·7≈43.9823

Answer:

4) The error made was that you were supposed to multiply 5 and 2. The answer is supposed to be 43.

5) B) 18

6) 18

7) B) 20

8) B) 28

Step-by-step explanation:

4)

36 - 3 + 5 · 2

36 - 3 + 10

43

5)

3(7) - 3 = 18

6)

3(2) + 2(4) + 4 =

6 + 8 + 4 =

18

7)

24 ÷ 3 + 12 = 8 + 12 = 20

8)

5(6) - 2 = 30 - 2 = 28

Answer:

$18

Step-by-step explanation:

double the value of 9 to get 18

Answer:

hshshjsjsjejdjdjsnnsjsns

Answer:

$375

Step-by-step explanation:

If she spent 25%, then she saved 75%.

75% of $500 is 375. 500(0.75)

Answer:

C

Step-by-step explanation:

Answer:

$59. 85  or rounding, $60   (I AM NOT COMPLETELY SURE)

Step-by-step explanation

I changed the percentage into a decimal (.05) and then multiplied it by the final price (57). After multiplying, I got, $2.85. I then added that to the final price to get, $59.85.

Answer:

The constant of proportionality between 'y' and 'x' in the graph is 0.75

Step-by-step explanation:

The constant of proportionality is the constant ratio between two quantities that are directly proportional.

When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other

From the graph we have;

When x = 0, y = 0, all graphs of directly proportional relationships have  x = 0 when y = 0

However;

When x = 2, y = 1.5

When there is an 100% increase, we have;

When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3

Therefore, when x = 4, y = 3

The constant of proportionality = The ratio between each 'y' and 'x' value

∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75

Therefore;

The constant of proportionality between 'y' and 'x' in the graph = 0.75.

Answer:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]

Required

Solve

Express [tex]x^2-4[/tex] as difference of two squares

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Factorize [tex]x^4 - 2x^3[/tex]

[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]

Cancel out x - 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]

Expand [tex]x^2 - 3x - 10[/tex]

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]

Factorize:

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]

Factor out x + 2

[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]

Cancel out x - 5 and x + 2

[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]

[tex]\frac{1}{x^3}\cdot 1[/tex]

[tex]\frac{1}{x^3}[/tex]

Hence:

[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]

Answer:

60.3−4.92=0

Subtract 4.92 from 60.3 to get 55.38.

55.38 = 0

Compare 55.38 or 0.

Answer:55.38=0

Step-by-step explanation:

Answer:

0.9958

Step-by-step explanation:

P(being correct) = 1/4 = 0.25

Hence, p = 0.25

n = 19

P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

However, to save computation time, we could use a calculator :

Using a calculator,

P(x ≥ 1) = 0.99577

P(x ≥ 1) = 0.9958

Answer:

15

Step-by-step explanation:

The grade percentage of Marco is 50%.

A percent is a dimensionless number, meaning that it has no units of measurement, since it represents a part of whatever whole is being measured.

Given that, Marco got 15 questions wrong on his 30-question test.

We need to find his grade as a percent,

So,

Since he got 15 answers wrong,

Therefore, his correct answers = 30-15.

That mean his grade in marks = 15

Now, his grade in percent = 15/30 x 100 = 50%

Hence the grade percentage of Marco is 50%.

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Answer:

35

Step-by-step explanation:

i believe it is 35 degree at is directly opposite to a 35 degree angle

Answer:

The probability is 1/9

Step-by-step explanation:

The probability of rolling a 5 the first time is 1/6

The probability of rolling a number greater than 2

Numbers greater than 2 are 3, 4, 5, 6

So the probability of rolling a number out of these four is 4/6

So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be

1/6 * 4/6 = 4/36 = 1/9

Answer:

1/3, 5/6, and 5/18.

Step-by-step explanation:

If a die has 6 sides, then because there are 2 sides equal or greater than 5 (5 and 6), then there is a 2/6 or 1/3 chance of rolling the first die. On the second roll, there are 4 sides equal or greater than 5 (2, 3, 4, 5, and 6), so there is a 5/6 chance of rolling it. To find the probability of both happening, multiply 1/3 by 5/6 to get 5/18.

Answer:

9.3

Step-by-step explanation:

The real answer is 9.33333 but I did as you said and rounded to the nearest tenth.

I got this answer by adding up 6, 11, 14, 4, 8, 8, 10, 9, 14 and I got 84. Then I divided 84 by 9 and got 9.33333.

Sorry if I'm wrong.

Please mark me as Brainliest.

Answer:

I think 6

Step-by-step explanation:

If its wrong tell me

Answer: constant

Step-by-step explanation:

Hope this help!

Answer:

71

Step-by-step explanation:

I hope this helps u! :D

Answer:

71

Step-by-step explanation:

4 to the third = 4 x 4 x 4 = 64

64 + 7 = 71

Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].

For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].

The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.

[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]

The sine value of a point will be the [tex]y[/tex] value of the point.

[tex]\frac{\sqrt{3}}{2}[/tex]

So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]

Now we have to find the LCD to add these together, which in this case would be 6.

[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]

Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.

Hope this helps!

Answer:

y=-2x-8.5

Step-by-step explanation:

y=mx+b

slope = -2

y=-2x+b

y intercept = -8.5

y = -2x-8.5

Answer:

I think the answer is 4800.

Step-by-step explanation:

Usually people would use 1/10 or anything like that, but here 3/7 was used. in order to find 10 percent you would divide by 10, correct, well I did the same with 7. (because you must find 1/7) The question was 3/7, so I multiplied 1400 by 3, and my answer was 4800. (sorry if this wasn't understandable, im the the best at explaining things)

Answer:

125 units^3

Step-by-step explanation:

Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.

You then divide the sides by 2 because the question says the second cubes sides are half the size

5*5*5 = 125

The volume of the second cube is 125 units³.

In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.

We need to find the volume of the second cube,

So, let the side of the first cube be x,

We know that the volume of a cube = side³

Therefore,

x³ = 1000

x = ∛1000

x = 10 units

Therefore, the second cube will have a side of 10/2 = 5 units

Volume of second cube = 5³ = 125 units³.

Hence the volume of the second cube is 125 units³.

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Answer:

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]

In the graph a = 60 and b = 11

So

[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Answer:

8/75

Step-by-step explanation:

To find the volume of a rectangular prism you multiply the length, width, and height.

So you do (3/5)*(4/9)*(2/5), and to multiply fractions you multiply the tops by eachother, and then the bottoms by eachother.

So its (3*4*2) over (5*9*5)

which gives you 24/225 which simplifies to 8/75

Answer:

0.63

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

50.24/3.14

= 16

16/2

= 8