Determine the end behavior, number of zeros, and maximum number of turns for the given function.
h(x)=3x^3-2x^2-12x+8

Answer:

x = 3

Step-by-step explanation:

3x + 2 = 11

subtract 2 from both sides

3x = 9

divide 3 on both sides

x = 3

Answer:

x=3

Step-by-step explanation:

3x + 2 = 11

subtract 2 from both sides

3x = 9

divide by 3

x=3--answer

Answer: Samuel no necesita comprar mas cajas.

Step-by-step explanation:

Cada mosaico es un cuadrado de 20cm por lado.

Entonces el área de cada mosaico es:

A = 20cm*20cm = 400cm^2.

En una caja hay 14 mosaicos, entonces cada caja puede cubrir:

14*400cm^2 = 5,600cm^2.

Ahora, el problema dice que la pared mide 3cm por 2 cm.

En ese caso, con un solo mosaico cubrirías la pared, entonces supongo que esta mal escrito.

Las dimensiones de la pared serian 3 metros por 2 metros.

1 m = 100cm

Entonces la pared es 300cm por 200cm.

El área total de la pared seria:

300cm*200cm = 60,000cm^2.

Ahora, cada caja de mosaicos cubre 5,600 cm^2.

Entonces el numero de cajas necesarias para cubrir toda la pared es:

(60,000cm^2)/(5,600cm^2) = 10.7

Entonces se necesitan 10.7 cajas para cubrir esa pared, y Samuel tiene 11, entonces el no necesita comprar mas cajas.

Samuel necesita 150 mosaicos, y en sus cajas tiene 154, por lo que no necesita comprar más cajas.

Dado que Samuel tiene 11 cajas con mosaicos cuadrados de 20 cm por lado, y quiere cubrir una pared que mide 3 metros de largo y 2 metros de alto, si en caja hay 14 mosaicos, para determinar si será necesario que compre mas cajas se debe realizar el siguiente cálculo:

Por ende, se necesitan 150 mosaicos para cubrir toda la pared.

A su vez, en total Samuel tiene 154 mosaicos.

Por lo tanto, Samuel no necesita comprar más cajas.

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Answer:

hope that will help you

Answer:

3rd value, 4th value, 1st value and then the 2nd value

The year in which the total personal income will reach 22 trillion dollars is 2033 years.

The year in which the total personal income will reach 22 trillion dollars is calculated by applying a method known as extrapolation for the data in the table.

At year 1996, total personal income = 8429.2

At year 2001, total personal income = 10,239.5

At year ?, total personal income = 22,000

(? - 2001) / (2001 - 1996) = (22,000 - 10,239.5) / (10,239.5 - 8429.2)

(? - 2001 ) / 5 = 6.496

? - 2001 = 5 x 6.496

? - 2001 = 32.48

? = 2001 + 32.48

? = 2033.48

? ≈ 2033 years

Thus, the year in which the total personal income will reach 22 trillion dollars is 2033 years.

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Step-by-step explanation:

((-3+2)/2),((-5+5)/2)

(-0.5),(0)

Answer:

(-0.5,0)

Step-by-step explanation:

Mid point is the point at the middle of the line, therefore takings the average Y value and the average X value, will obtain the middle point.

Y point: (-3+2)/2 = -0.5

X point: (-5+5)/2 = 0.0

Midpoint: (-0.5,0)

Answer:

assuming that n is the "

1. 31

2. 49

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

[tex]area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} [/tex]

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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Answer:

Step-by-step explanation:

n^3 + 512

512 = 8^3

So the factors are

(n + 8)(n^2 - nx + 64)

Answer:

try D(n+8) (n^2'8n+64)

Answer:

x =Y

Step-by-step explanation:

[tex]Y= 5x-4x[/tex]

Simplify

[tex]Y = x[/tex]

The literal equation for x is x=y.

The given equation is y=5x-4x.

We need to solve the literal equation for x.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Now, y=5x-4x

⇒y=x

Therefore,  the literal equation for x is x=y.

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Two angles are complementary when their sum is equal to 90°.

So, ( 2x + 39 ) + ( 7x - 21 ) = 90°

9x + 18° = 90°

x = 8°

Putting value of x in the angles given :

( 2x + 39 )° = 2(8°) + 39° = 55°.

( 7x - 21 )° = 7(8°) - 21° = 35°.

Therefore, the angles are 55° and 35°.

Hence, this is the required solution.

Answer:

Probability at least one car will get punctured: 0.39347

Step-by-step explanation:

B(10,000 , 0.00005)

P(X ≥ 1) = 1 - P(X = 0)

            = 1 - (1 - 0.00005)^10,000

            = 1 - (0.99995)^10,000

            = 1 - 0.60652...

            = 0.39347 (probability that at least one car will get punctured)

As you can tell P(X ≥ 1) as we have to solve for the probability that at least one car will get punctured. That is of course 1 - [ P(X = 0) ].

How do we know to use a binomial distribution here? Based on these three reasons:

Answer:

10 1/9

Step-by-step explanation:

To make it easier to answer, make both of them into an improper fraction

4 1/5 = 21/3

1 4/9 = 13/9

Now we can multiply them easier

21/3 x 13/9 = 273/27

27 goes into 273 10 times and the left over is 3 so the mixed fraction would be

10 3/27, to simplify

10 1/9

Answer: 2

Step-by-step explanation:

96 = 4(5)(4) + 2(4)H

96 = 80 + 8H

96 - 80 = 8H

16 = 8H

16/8 = H

2 = H

Done!

Answer:

yes they are equivalent

Step-by-step explanation:

25/45÷5/5=5/9

and 5/9×5/5=25/45

hope this answer helps u...

Answer:

Yes.

Step-by-step explanation:

5/9 is equivalent to 25/45. We can find this out by multiplying both the numerator and the denominator by 5 as 9 x 5 = 45.

So the result is; 5/9 = (5 x 5)/ 9 x 5 = 25/ 45

Answer:

[tex]\boxed{\pink{\sf The \ inverse\ of \ the \ function \ is \ f^{-1}(x)= \dfrac{2}{x}-\dfrac{1}{2} }}[/tex]

Step-by-step explanation:

A function is given to us and we need to find its inverse . So the given function is ,

[tex]\implies f(x) = \dfrac{4}{2x+1} [/tex]

1) So ,let us take f(x) = y . Equation becomes ,

[tex]\implies y = \dfrac{4}{2x+1} [/tex]

2) Firstly replace x with y and y with x. We get ,

[tex]\implies x = \dfrac{4}{2y+1} [/tex]

3) Now , solve for y.

[tex]\implies x = \dfrac{4}{2y+1} \\\\\implies x(2y + 1) = 4 \\\\\implies 2y+1 =\dfrac{4}{x}\\\\\implies 2y = \dfrac{4}{x}-1 \\\\\implies 2y = \dfrac{4-x}{x} \\\\\implies y = \dfrac{4-x}{2x} [/tex]

4) Now replace y with [tex]f^{-1}(x) [/tex]

[tex]\implies f^{-1}(x) = \dfrac{4-x}{2x} \\\\\ \implies f^{-1}(x)= \dfrac{4}{2x} - \dfrac{x}{2x} \\\\\underline{\boxed{\orange{\tt \implies f^{-1}(x) = \dfrac{2}{x}-\dfrac{1}{2} }}}[/tex]

Answer:

$40

Step-by-step explanation:

Divide.

$800 / 20 hrs.

= $40

Answer:

$40 in twenty hours

Step-by-step explanation:

I know this because, as you can see 800 divided by 20 =  40

To check back you can always do 20 x 40 = 800

Answer:

yeah your right it equals 45

Answer:

D

Step-by-step explanation:

The option fourth represents the difference quotient of the function f(x) option fourth is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

[tex]\rm f(x) = - \sqrt{8x-35}[/tex]

[tex]\rm f(x+h) = - \sqrt{8(x+h)-35}\\\\\rm f(x+h) = - \sqrt{8x+8h-35}\\\\[/tex]

Difference quotient:

[tex]\rm = \dfrac{f(x+h)-f(x)}{h}[/tex]

[tex]\rm = \dfrac{- \sqrt{8x+8h-35}+ \sqrt{8x-35}}{h}[/tex]

After rationalization;

[tex]\rm = \dfrac{- \sqrt{8x+8h-35}+ \sqrt{8x-35}}{h} \times \dfrac{ \sqrt{8x+8h-35}+ \sqrt{8x-35}}{\sqrt{8x+8h-35}+ \sqrt{8x-35}}[/tex]

[tex]\rm = \dfrac{8}{-\sqrt{8x+8h-35}- \sqrt{8x-35} }[/tex]     , h ≠ 0

Thus, the option fourth represents the difference quotient of the function f(x) option fourth is correct.

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Answer:

Step-by-step explanation:

400 or 200000

Answer:

x=20

Step-by-step explanation:

x/24 = 30/36 simplify

x/24 = 5/6 divide 24 by 6 and multiply it to 5

x = 20

The solution to the equation x/24 = 30/36 is x = 20.

Option A is the correct answer.

We have,

To solve the equation x/24 = 30/36, we can cross-multiply and solve for x.

Cross-multiplying gives us:

36x = 24 * 30

Simplifying further:

36x = 720

Now, we can divide both sides of the equation by 36 to isolate x:

x = 720/36

Simplifying the right side:

x = 20

Therefore,

The solution to the equation x/24 = 30/36 is x = 20.

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Answer:

b.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer: 56

Step-by-step explanation:

Answer:

[tex]x<-6\text{ or } x>2[/tex]

Step-by-step explanation:

We have the inequality:

[tex]\frac{2}{5}|5x+10|-14>-6[/tex]

First, we can factor out a 5 from our absolute value. This yields:

[tex]\frac{2}{5}(5|x+2|)-14>-6[/tex]

Simplify:

[tex]2|x+2|-14>-6[/tex]

Add 14 to both sides:

[tex]2|x+2|>8[/tex]

Divide both sides by 2:

[tex]|x+2|>4[/tex]

Definition of Absolute Value:

[tex]x+2>4\text{ or } -(x+2)>4[/tex]

Solve each case individually:

Case 1:

[tex]x+2>4[/tex]

Subtract 2 from both sides:

[tex]x>2[/tex]

Case 2:

[tex]-(x+2)>4[/tex]

Divide both sides by -1. Flip the sign:

[tex]x+2<-4[/tex]

Subtract 2 from both sides:

[tex]x<-6[/tex]

So, our answers are:

[tex]x<-6, x>2[/tex]

Since our inequality is a greater than, we will have an "or" inequality.

So, our answer is all values left to the first solution and all values to the right of the second solution:

[tex]x<-6\text{ or } x>2[/tex]

And we're done!

Answer:

She gets an increase of $750 each year so in the tenth year she would make $34,850

Step-by-step explanation:

Answer: B

Step-by-step explanation: $34,850

Problem 1

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

Work Shown:

1 liter = 1000 mL

0.56 liters = 560 mL (multiply both sides by 0.56)

x = number of tablespoons needed to fill water bottle

1 tablespoon = 15 mL

x tablespoons = 15x mL (multiply both sides by x)

Set 15x and 560 equal to each other. Solve for x

15x = 560

x = 560/15

x = 37.333

x = 37.33

=================================================

Problem 2

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

Work Shown:

From the previous problem, a 0.56 L water bottle has 560 mL of water.

Subtract off 15 mL to get

560 - 15 = 545

A filled water bottle has 545 more mL of water compared to a tablespoon of water.