Shows that n+1Cn= mCn-1 + mCn

Answer:

The numbers are best written as,  

                        (1.2 x 10⁻²)(3.65 x 10⁸)

If we multiply the bases of the scientific notations, we get an answer of 4.38. There exists a rule which states that for exponents of the same number which are multiplied, we add up the exponents. Thus, our final answer would be,

                              4.38 x 10⁶

Step-by-step explanation:

Answer:

f(x)=-x-3

Step-by-step explanation:

reflection in the x-axis

f(x) = x ---> f(x) = -x

translation 3 units down:

f(x) = -x ---> f(x) = -x - 3

Step-by-step explanation:

The power 2 after 4.05 means that 4.05 should times itself twice, which means

[tex] {4.05}^{2} = (4.05)(4.05) \\ = 16.4025[/tex]

(a) The domain of the function is (-∞; 0) U (0; +∞) and the range is (-∞; +∞).

(b) There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.

(c) This function does not have horizontal asymptotes.

(d) The vertical asymptote is x = 0.

(e) The oblique asymptote is y = -3x.

We want to find different elements of the function given in the graph.

The intercept is a point where the graph of a function intersects the axis. There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.

Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. This function does not have horizontal asymptotes.

Vertical asymptotes are invisible vertical lines that certain functions approach, yet do not cross, when the function is graphed. The vertical asymptote is x = 0.

An oblique asymptote is a slanted line that the function approaches as x approaches ∞ or -∞.

We have 2 points for this asymptote: (0, 0) and (2, -6). We can find its expression using the two-point form of a line.

y - y₁ = (y₂-y₁/x₂-x₁) (x - x₁)

y - 0 = (-6-0/2-0) (x - 0)

y = -3x

(a) The domain of the function is (-∞; 0) U (0; +∞) and the range is (-∞; +∞).

(b) There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.

(c) This function does not have horizontal asymptotes.

(d) The vertical asymptote is x = 0.

(e) The oblique asymptote is y = -3x.

Learn more about asymptotes here: https://brainly.com/question/4930698

Answer: 7,035

Step-by-step explanation: first convert 5% to a decimal, 0.05

Then multiply that to the subtotal which is 6,700: 335

Last add 335 to the subtotal. 6,700+335+7,035

Hope this helps!

9514 1404 393

Answer:

  x = -8 or 2

Step-by-step explanation:

Compare your equation to the standard form equation.

  -x^2 -6x +16 = 0 . . . . . . your equation

  ax^2 +bx +c = 0 . . . . . . standard form equation

Identify the values of 'a', 'b', and 'c'.

  a = -1

  b = -6

  c = 16

Fill in these values in the quadratic formula and do the arithmetic.

  [tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-6)\pm\sqrt{(-6)^2-4(-1)(16)}}{2(-1)}=\dfrac{6\pm\sqrt{100}}{-2}\\\\x=-3\pm5=\{-8,2\}[/tex]

The solutions are x = -8 and x = 2.

Answer:

5 watts

Step-by-step explanation:

Answer:

Step-by-step explanation:

Width = w

Length = w + 6

Area = 112 sq. cm

length * width = 112

(w +6 ) *w = 112

w²  +6w -112 = 0

Sum = 6

Product = -112

Factors = 14 , -8    {14 - 8 = 6 , (-8)*14 = -112}

w² +  14w - 8w -112 = 0

w(w + 14) - 8(w + 14)=0

(w +14)(w -8) = 0   {Ignore w + 18 as measurement won't be negative}

w - 8 = 0

w = 8 ft

Length = 8 + 6 = 14 ft

The difference of given expressions is 6x+14.

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Given that, 8(x+3)-2(x+5)

8x+24-2x-10 (By distributive property of multiplication)

(8x-2x)+(24-10) (Grouping like terms)

6x+14

Therefore, the difference of given expressions is 6x+14.

To learn more about the subtraction of expression visit:

https://brainly.com/question/12959016.

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Answer:

[tex]\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}[/tex]

Y-intercept = (0, -5)

Step-by-step explanation:

Given the linear equation in standard form,  3x - 5y = 25, for which we must determine its x- and y-intercepts.

It is essential to understand what the intercepts mean relative to the given equation and its location on the graph.

The x-intercept is the point where the graph crosses the x-axis. Hence, its coordinates are often represented by (a, 0). Thus, the x-intercept provide the value of x when the value of the y-coordinate is 0.

Now, we can solve the x-intercept by setting y = 0:

3x - 5y = 25

3x - 5(0) = 25

3x - 0 = 25

3x = 25

Divide both sides by 3 to solve for x:

[tex]\large\mathsf{\frac{3x}{3}\:=\:\frac{25}{3}}[/tex]

[tex]\bf\mathsf{x=\:\frac{25}{3}}[/tex]

Therefore, [tex]\bf\mathsf{X-intercept=(\frac{25}{3},\:0)}[/tex] .

The y-intercept is the point where the graph crosses the y-axis. Hence, its coordinates are often represented by (0, b ). Thus, the y-intercept provide the value of y when the value of the x-coordinate is 0.

Now, we can solve the y-intercept by setting x = 0:

3x - 5y = 25

3(0) - 5y = 25

0 - 5y = 25

-5y = 25

Divide both sides by -5 to solve for y:

[tex]\large\mathsf{\frac{-5y}{-5}\:=\:\frac{25}{-5}}[/tex]

y = -5

Therefore, the y-intercept is (0, -5).

Answer:

240 sq feet

Step-by-step explanation:

for a rectangle

area = length * width

a = 20 * 12

a = 240

240 sq feet

Step-by-step explanation:

= 20/3 ÷ 1/6

= 20/3 × 6

= 120/3

= 40

Answer:

[tex] \sf 40[/tex]

Step-by-step explanation:

[tex] \sf = \frac{20}{3} \div \frac{1}{6} [/tex]

[tex] \sf = \frac{20}{3} \times \frac{6}{1} [/tex]

[tex] \sf = \frac{20 \times 6}{3 \times 1} [/tex]

[tex] \sf = \frac{120}{3} [/tex]

[tex] \sf = 40[/tex]

Answer:

BD =√(10) ~ 3.162

EB = √(11.44) ~ 3.382

AE = √(12.44) ~ 3.527

Step-by-step explanation:

Apply the Pitago (example this picture)

a^2+ b^2 = c^2

Answer:

63.3232

Step-by-step explanation:

Answer:

she needs to deposit $40.20

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

We can use the equation

y = -a f(-b (x-h)) +k

The first negative is a reflection about the x axis

a is a horizontal stretch if it is >1 or a compression if less than 1

The negative inside the function is a reflection about the y axis

b is a horizontal compression if >1 or a compression if less than 1

h shifts the function left ( h<0) or right if (h>0)

k shifts the function up if k>0 or down if k <0

4. y = -1/3 | x - 2 | - 4

parent function |x|

    reflection about the x axis

1/3 horizontal compression

shift 2 units to the right

4 units down

y = 1 / ( x + 5) - 3

The parent function is 1/x

shift is 5 units to the left and 3 units down

6. (x - 1)^2 + (y + 2)^2 = 4

(x - 1)^2 + (y + 2)^2 = 2^2

This is a circle of radius 2

The center is shifted from the origin 1 unit to the right and 2 units down

Answer:

i think its 96

Step-by-step explanation:

Answer:

slope = 8 or 8/1

depending on your teacher

y int = -12

because the formula is

Y = mx + b

m = slope

y int = b

hope this helps

Answer:

empeñemos eluden los emigró del fr¡¿&¿=£/€"=4=£64÷^£/:£=17

Answer:

The small cart has a momentum of 0.6 kg ⋅ m/s and the large cart has a momentum of 0 kg ⋅ m/s

I just took the test.

Answer:

19, 23, 27, 31, 35, 39, 43, 47

Step-by-step explanation:

is this what you meant? if not tell me what you meant and I'll change it

Answer:

Step-by-step explanation:

In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.

Answer:

Use the rational root theorem to list all possible rational zeroes of the polynomial P(x) P ( x) .

Evaluate the polynomial at the numbers from the first step until we find a zero. ...

Repeat the process using Q(x) Q ( x) this time instead of P(x) P ( x) . This repeating will continue until we reach a second degree polynomial.

Answer:

B 20in

Step-by-step explanation:

e2021

Answer: y=-x-1

Step-by-step explanation:

To find the answer, 5 and -6 have to be substituted in the place of x in the equation y = -x + b(The slope has to be the same because the line is parallel). -6 = -5 + b, b = -1. This means that the equation is y = -x - 1.

Answer: The x intercept is (11/2)

Step-by-step explanation:

Answer:

0.002+0.05+0.5+9+50+100

Answer:

5:20 to 9:20

Step-by-step explanation:

Answer:

fudjdhajs gf djdjsiwjsj

Answer:

Step-by-step explanation:

1 reflection across the y axis

followed by

2 translation two units left

(-4, 6) reflect to (4, 6) translate (2, 6)

(-2, 2) reflect to (2, 2) translate (0, 2)

(-6, 2) reflect to (6, 2) translate (4, 2)

could also be done in one step by reflecting across x = -1