Consider this graph of a quadratic function.
Type the correct answer in each box.
The shape of the graph is called a
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers
greater than or equal to
When x = -1, f(x) =

The common ratio of the geometric sequence is: B. r = 2/3.

The common ratio of a geometric sequence is determined by taking the last term and divide by the preceding term.

Given the geometric sequence, 6,4,8/3,16/9,..., the common ratio is calculated as follows:

16/9 ÷ 8/3 = 16/9 × 3/8 = 2/3 × 1/1 = 2/3

Or

8/3 ÷ 4 = 8/3 × 1/4 = 2/3

Or

4/6 = 2/3

Therefore, the common ratio of the geometric sequence is: B. r = 2/3.

Learn more about common ratio on:

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Answer:

2

Step-by-step explanation:

=> x + 3 = 5

=> x = 5-3

=> x = 2

Answer:

x=2

Step-by-step explanation:

x=5-3

x=2

value of x is 2

Answer:

Trey = 9 text messages

Rachel = 19 text messages

Juan = 57 text messages

Step-by-step explanation:

Let

Number of messages Trey sent = x

Number of messages Rachel sent = x + 10

Number of messages Juan sent = 3(x + 10)

Total messages = 85

Total = Trey + Rachel + Juan

85 = x + (x + 10) + 3(x + 10)

85 = x + x + 10 + 3x + 30

85 = 5x + 40

85 - 40 = 5x

45 = 5x

x = 45/5

x = 9

Number of messages Trey sent = x = 9 text messages

Number of messages Rachel sent = x + 10

= 9 + 10

= 19 text messages

Number of messages Juan sent = 3(x + 10)

= 3(9 + 10)

= 3(19)

= 57 text messages

Answer:

50kg de café torrado

30kg de café arábico

Step-by-step explanation:

Queremos obtener un total de 80kg de café molido.

Se utilizarán:

Café arábico, que cuesta $18 el kg

Café torrado, que cuesta $10 el kg

Queremos que el precio, por kilo, de la mezcla de 80kg sea $13.

Ok, primero debemos definir las variables:

Definamos:

x = cantidad de café arábico usado

y = cantidad de café torrado usado.

Entonces, como la mezcla deberá tener 80kg en total, tenemos:

x + y = 80kg

Y el costo total de esta mezcla será:

x*$18 + y*$10

Si lo dividimos por el peso total, tendremos el costo por kilo, que es:

(x*$18 + y*$10)/80kg

Y queremos que esto sea igual a $13, entonces tenemos la ecuación

(x*$18 + y*$10)/80kg = $13

Ok, ahora tenemos dos ecuaciones, es decir, tenemos un sistema de ecuaciones:

x + y = 80kg

(x*$18 + y*$10) = $13*80kg

(donde reescribimos levemente la segunda ecuación)

Ok, para resolver este sistema trataremos de reemplazar variables, para ello, el primer paso es aislar una de las variables en una de las ecuaciones.

Aislemos x en la primera:

x = 80kg - y

Ahora reemplazamos esto en la otra ecuación:

(x*$18 + y*$10) = $13*80kg

(( 80kg - y)*$18 + y*$10) = $13*80kg

Ahora podemos resolver esto para la variable y:

$18*80kg - $18*y + $10*y = $13*80kg

$18*80kg - $13*80kg = $18*y - $10*y

($18 - $13)*80kg = ($18 - $10)*y

$5*80kg = $8*y

($5*80kg)/$8 = y

50kg = y

Se usan 50kg de café torrado.

y como:

x + y = 80kg

x = 80kg - y

x = 80kg - 50kg = 30kg

Entonces los 30kg restantes serán de café arábico.

y la estrategia utilizada fue el remplazo de variables.

Answer:

2

Step-by-step explanation:

Use the form asin(bx−c)+d

a=3

b=2

c=4

d=0

Phase Shift: c/b

Phase Shift: 4/2 = 2

9514 1404 393

Answer:

  4^4·6^5·7^7 = 1,639,390,814,208

Step-by-step explanation:

Taking the cube root multiplies each exponent by 1/3.

  ((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)

Answer:

I believe it would be 6.5184*10^-3

Step-by-step explanation:

If wrong please tell me

Answer:

The minimum value of f(x) is greater than the minimum value of g(x).

Step-by-step explanation:

Given

[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)

[tex]g(x) = 4(x - 4)^2 + 3[/tex] --- g(x) equation

Required

Which of the options is true

First, we identify the vertex of g(x)

A quadratic function is represented as:

[tex]g(x) =a(x - h)^2 + k[/tex]

Where:

[tex](h,k) \to[/tex] vertex

So, we have:

[tex](h_2,k_2) = (4,3)[/tex]

[tex]a = 4[/tex]

If [tex]a>0[/tex], then the curve opens upward

From the question, we understand that f(x) also open upward. This means that both functions have a minimum

The minimum is the y (or k) coordinate

So, we have:

[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)

[tex](h_2,k_2) = (4,3)[/tex] --- vertex of g(x)

The minimum of both are:

[tex]Minimum = 4[/tex] ----  f(x)

[tex]Minimum = 3[/tex] ----  g(x)

By comparison:

[tex]4 > 3[/tex]

Hence, f(x) has a greater minimum

Answer:

The minimum value of f(x) is greater than the minimum value of g(x).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well the percent of growth is 6%

The reason is because when we look at a exponential function, if the number in the percent is more than 1 subtract the number from 1 and multiply it by 100 thats your percent

Now to find the company's value in 2009 or 9 years after 2000

we just replace the variable representing time "t" for 9

221(1.06^9)= 373.37484994

the value of the company in 9 years is 373.37484994  (in million dollars)

the percentage of annual growth is 6%

pls give brainliest

Answer:

G

Step-by-step explanation:

I did this on edge and it was right

Answer:

O  Point G

Step-by-step explanation:

A = -6

B = 8

To find the midpoint, calculate how much would it take for both points to have a value of zero.

-6 + ? = 0

-6 + 6 = 0

8 - ? = 0

8 - 8 = 0

so the midpoint will be about 7 (between 6 & 8)

Now which of the points best shows 7 units apart of AB

Answer: point G

Answer:

The surface area of the pyramid is 16.65 m^2.

Step-by-step explanation:

Hello!

8y + 3 > 15y + 52 <=>

<=> 8y - 15y > 52 - 3 <=>

<=> -7y > 52 - 3 <=>

<=> -7y > 49 <=>

<=> y < -7 => y ∈ { -∞; -7 }

Good luck! :)

Yes

Replace x in the equation with the x in the solution and see if t equals the y in the solution:

Y = 7-5 = 2

The answer is yes.

1 and -1 are the only rational numbers which are their own reciprocal.[tex] \: [/tex]

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

cos²A + sin²A = 1 ( divide terms by cos²A )

[tex]\frac{cos^2A}{cos^2A}[/tex] + [tex]\frac{sin^2A}{cos^2A}[/tex] = [tex]\frac{1}{cos^2A}[/tex] , that is

1 + tan²A = sec²A ← as required

Answer:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]

Step-by-step explanation:

Given

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]

Required

Solve

We have:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2)[/tex]

Collect like terms

[tex]1.3t^3 + 0.6t^2 + 0.4t^2 - 24t- 18t + 8[/tex]

[tex]1.3t^3 + t^2 -42t + 8[/tex]

So:

[tex](1.3t^3 + 0.4t^2 - 24t) + (8 - 18t + 0.6t^2) = 1.3t^3 + t^2 -42t + 8[/tex]

Answer:

look at pic

Step-by-step explanation:

Answer:

The slope is 9.

Step-by-step explanation:

Answer:

Slope = 9

Step-by-step explanation:

Slope intercept form is y = mx +b (where m is slope and b is y intercept).

Here, m= 9 (slope) and b=0 (y intercept)

Answer:

18

Step-by-step explanation:

18

Answer:

the length would be 12.

Step-by-step explanation:

Answer:

[tex]{ \boxed{ \bf{length = \sqrt{(x _{2} - x _{1}) {}^{2} + {(y _{1} - y _{2}) }^{2} }}}} \\ { \tt{length = \sqrt{ {(5 - ( - 2)) }^{2} + {(7 - 3)}^{2} } }} \\ { \tt{length = \sqrt{65} }} \\ length = 8.06 \: units[/tex]

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

Explanation:

It might help to draw it out. See the diagram below.

The base is JK which is 7 units long. I'm picking this as the base because this segment is completely horizontal.

Notice how the base JK spans from x = -3 to x = 4, which we can use subtraction and absolute value to get |J-K| = |-3-4| = 7.

The height is always perpendicular to the base. If the base is JK = 7, then the height is the vertical distance from K (or J) to L. This vertical distance is also 7 units. Subtract the y coordinates and apply absolute value. The base and height aren't always the same number.

Now we can find the area of the triangle

area = base*height/2

area = 7*7/2

area = 49/2

area = 24.5 square units

Given:

The limit problem is:

[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]

To find:

The value of the given limit problem.

Solution:

We have,

[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]

It can be written as:

[tex]=lim_{x\to -5}\dfrac{\dfrac{x+5}{5x}}{2(5+x)}[/tex]

[tex]=lim_{x\to -5}\dfrac{x+5}{5x}\times \dfrac{1}{2(5+x)}[/tex]

[tex]=lim_{x\to -5}\dfrac{1}{5x\times 2}[/tex]

[tex]=lim_{x\to -5}\dfrac{1}{10x}[/tex]

Applying limit, we get

[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{10(-5)}[/tex]

[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{-50}[/tex]

Therefore, the value of given limit problem is [tex]-\dfrac{1}{50}[/tex].

Hello,

We have :

27 = 3³ = 3 × 3 × 3

[tex]x[/tex]³ = [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex]

So :

The cube root of 27[tex]x[/tex]³ is :

3 × [tex]x[/tex] = 3[tex]x[/tex]

(  because : (3[tex]x[/tex])³ = 27[tex]x[/tex]³ )

We have :

8 = 2³ = 2 × 2 × 2

So :

The cube root of 8 is : 2

[tex]a^{3} +b^{3} = (a+b)(a^{2} -ab+b^{2} )[/tex] with [tex]a=3x[/tex] and [tex]b=2[/tex]

We have :

[tex](3x)^{3}+2^{3}=(3x+2)((3x)^{2} -(3x)(2)+(2 )^{2} )[/tex]

Have a nice day :)

Answer:

B

Step-by-step explanation:

Let divide g(x) by f(x)

[tex] \frac{ {x}^{2} - 9 }{2 - x {}^{ \frac{1}{2} } } [/tex]

The domain of a rational function cannot equal zero so let set the bottom function to zero.

[tex]2 - x {}^{ \frac{1}{2} } = 0[/tex]

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

Square both sides

[tex]x = 4[/tex]

Also we can simplify the bottom denomiator into a square root function

[tex]2 - \sqrt{x} [/tex]

The domain of a square root function is all real number greater than or equal to zero because a square root of a negative number isn't graphable.

So we must find a answer that

Answer:

soln,

set A ={ 1,2,3}

set B ={2,3}

Answer:

Bro a normal speed of a human is 3km/hr

And I don't know the speed of jo

Because u haven't written full question

Step-by-step explanation:

Please Mark me brainliest

Answer:

I am a piano so yeah I'm just typing to fill the character requirement

Step-by-step explanation:

get got

Step-by-step explanation:

answer what ?

all we can see is a grid of coordinates with a functional graph drawn into it.

and we know this function is called y=h(x).

that is it.

what answer is needed ? there is no question visible.

Answer:

63/70 = 9 : 10

Step-by-step explanation:

Given ratio:

9/10

a 70/63

= 10/9

= 10 : 9

b 19/70

= 19:70

c 19/20

= 19 : 20

d 63/70

= 9/10

= 9 : 10

The equivalent ratio to 9/10 = 63/70

= 9 : 10

Answer:

[tex] - 1[/tex]

-1 is the answer in your questions

Answer:

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

Step-by-step explanation:

[tex] \frac{ - 2}{3} + 0[/tex]

when adding or subtracting by 0, the value does not change.

[tex] = \frac{ - 2}{3} = - \frac{2}{3} [/tex]