Which graph shows a function where f(2) = 4?

Answer:

a)  0.356

b)  1.1397

Step-by-step explanation:

a) log₇2

b) log₇ (¹⁴⁷/₁₆)

          log (7)

Complete the square:

2x² + 9x - 18

2(x² + 9/2 x) - 18

2(x² + 9/2 x + 81/16 - 81/16) - 18

2(x² + 2 (9/4) x + (9/4)²) - 81/8 - 18

2(x + 9/4)² - 225/8

If you're not familiar with the method, the idea is to get a quadratic from the standard form

ax² + bx + c

into its vertex form

a (x - h)² + k

where (h, k) is the vertex of the parabola associated with the quadratic.

Expand the vertex form to get

a (x² - 2xh + h²) + k

ax² - 2ahx + ah² + k

For the two forms to be equivalent, we must have

-2ah = b

ah² + k = c

which means

h = -b/(2a)

k = c - ah² = c - b²/(4a)

In this case, a = 2, b = 9, and c = -18, so

h = -9/(2 • 2) = -9/4

k = 18 - 9²/(4 • 2) = -225/8

The graph that represents a function is graph (1)

The attached graphs represent the given parameters

From the attached figure, we can see that there are four graphs

Each of the four graphs represented different functions

As a general rule,

A graph that represents a function must pass the vertical line test

The vertical line test is such that:

If a line is drawn from the x-axis, it must touch the curve not more than one times

The graph that passes this test is graph (1)

This is so because it is a quadratic graph

Hence, the function graph is (1)

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Answer:

don't know area but the perimeter is 24.2 cm

Step-by-step explanation:

Answer:

P(A and B)=0.2

Step-by-step explanation:

P(A or B) represents mutually exclusive events, which mean they cannot occur at the same time. For example, you can't turn your head left and right at the same time. Their probabilities would be added as a result.

P(A and B) represents events that do occur at the same time, so the probabilities are multiplied. P(A and B)=P(A)*P(B)=0.5*0.4=0.2 or 20%

Answer:

I think 48

Step-by-step explanation:

multiply the bottom numbers

Answer:

i think is 44

Step-by-step explanation:

Answer:

El club tiene 84 miembros.

Step-by-step explanation:

El mínimo común múltiplo (mcm) es el número positivo más pequeño que es múltiplo de dos o más números. Es decir, el mínimo común múltiplo de dos números a y b es el número más pequeño que es múltiplo de a y múltiplo de b. Recordar que los múltiplos son el resultado de multiplicar un número por todos y cada uno de los números naturales.

Para calcular el mcm se descompone los números para escribirlos como un producto de números primos. Para descomponer un número se divide el número sucesivamente entre números primos hasta llegar a 1.  La descomposición es el producto de las potencias de los números primos, siendo sus exponentes el número de veces que se ha dividido por dicho primo.

El mínimo común múltiplo se obtiene escogiendo todos los factores (comunes y no comunes), elevados a la máxima potencia. Es decir eliges todos los factores, pero los que se repitan serán elevados a la máxima potencia.

En este caso, los miembros de un club social se pueden agrupar, sin que ninguno quede suelto, por parejas, por tríos y por grupos de 7. Para calcular la cantidad de miembros que tiene el club, entonces debes calcular el mcm entre los números 2,3 y 7

No podemos descomponer los números como producto de primos porque ya son números primos., por lo que el mínimo común múltiplo es el producto de comunes y no comunes al mayor exponente:

mcm (2,3,7)= 2*3*7= 42

Pero sabes que los miembros son más de 80 pero menos de 90, por lo que calculas un múltiplo del mcm obtenido.

Múltiplo de 42= 2*42= 84

El club tiene 84 miembros.

Answer:

Step-by-step explanation:

we are given that 1 angle equals 27 and the other two are equal.

180-27=153. and the other two are equal so they each equal 76.5 (153 divided by 2) now since one of the angles is supplementary with angle x, they together must equal 180 so: 180-76.5=x, x=103.5

Answer:

Step-by-step explanation:

12x-6

Answer:

if both the shorter ends are as long as or longer than the longer end when combined.

Step-by-step explanation:

Answer:

1 and 54

2 and 27

3 and 18

6 and 9

Step-by-step explanation:

Answer:

Multiple Possibilities:

1 x 54

2 x 27

3 x 18

6 x 9

Step-by-step explanation:

Answer:

x=5, y=-3, x=-4, y=9

Step-by-step explanation:

1. x=5, is a vertical line cutting the x axis at 5

2. y=-3 is a horizontal line cutting the y axis at -3

3. x= -4, is a vertical line cutting the x-axis at -4

4. y=9, is a horisontal line cutting the y-axis at 9

Answer:

72 students

Step-by-step explanation:

IF 2 out of 3 students recycle aluminum cans and 48 students recycle aluminum cans.

48 divided by 2 is 24

48 plus 24 is 72

Answer:C 4x-y=2

Step-by-step explanation:

The equation of the line that has a slope of 4 is 4x - y = 10.

Option D is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = 4.

The line contains (3, 2).

The equation of the line.

y = mx + c

m = 4

(3, 2) = (x, y)

2 = 4 x 3 + c

2 = 12 + c

c = 2 - 12

c = -10

Now,

y = 4x - 10

4x - y = 10

Thus,

The equation of the line is 4x - y = 10.

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Answer:15:4

Step-by-step explanation:

Answer:

the correct answer is c

Step-by-step explanation:

Answer:

its $25 if he completes all 11 shots

Answer:

its $25 if he completes all 11 shots

Step-by-step explanation:

Answer:

b) y= 3x - 5

Step-by-step explanation:

9x-15 ÷3 = 3x - 5

3y ÷ 3 = y

Answer:

(-2,10)

Step-by-step explanation:

Let's solve your equation step-by-step.

x2−8x=20

Step 1: Subtract 20 from both sides.

x2−8x−20=20−20

x2−8x−20=0

Step 2: Factor left side of equation.

(x+2)(x−10)=0

Step 3: Set factors equal to 0.

x+2=0 or x−10=0

x=−2 or x=10

Answer:

x=−2 or x=10

Answer:

{–2, 10}

Step-by-step explanation: hope it helps ^w^

Answer:

About 158 times

Step-by-step explanation:

Represent the rate of human heart with H and sparrow's heart with S

[tex]H = 1,533,000\ times[/tex]

[tex]S = 241,776,000\ times[/tex]

Required

Determine how many times faster is S than H

To do this, we simply divide S by H i.e.

[tex]Number = \frac{S}{H}[/tex]

[tex]Number = \frac{241,776,000}{1,533,000}[/tex]

[tex]Number = 157.714285714[/tex]

[tex]Number = 158[/tex] --- approximated

Hence, the sparrow's heart beats about 158 times faster than the human hearts

Answer:

Slope: 6

Y-intercept: 4

Equation: y=6x+4

Step-by-step explanation:

For slope you do change in y over change in x so its 10-4/1-0 in this case which gets you 6/1 or 6 for your slope

It crosses the y-axis at (0,4) so your y-intercept is 4

The base equation is y=mx+b m is slope b is y-intercept so you plug in your values and get y=6x+4

Answer:

x>11 is the solution to both equations.

Step-by-step explanation:

I apologize for late response I've been busy lately. Anyways here ya go! :

From what I understand it wants us to solve "9x-4>95" so that's what I'll do.

add 4 to each side

9x>99

divide each side by 9

x>11 is the solution to 9x-4>95

For 4x+10>54

subtract 10 from each side

4x>44

divide each side by 4

x>11 is the solution to 4x+10>54

Answer:

The correct option is B.

Answer:

answer is definetly B

Step-by-step explanation:

Answer:

800000

Step-by-step explanation:

Answer:

♡ Hi darling!

~The answer is 800,000.

Here is some explanation on how to round numbers to the nearest hundred thousand easily.

You can just look at the next place value to the right (the thousandths this time). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right. ♡

Hope this helps, have an amazing night/day and remember your loved! Make sure to take care of your mental health and eat food and drink water today.

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

~ Clara

✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ *:･ﾟ✧*:･ﾟ✧✧･ﾟ: *✧･ *:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

the slope of the red line is   [tex]\frac{1}{2}[/tex]   or 0.5

Step-by-step explanation:

Answer:

9 fluid ounces of sparkling soda.

Step-by-step explanation:

The ratio is 1 to 8 so:

72 / 8 = 9

Answer:

6

Step-by-step explanation:

-3,-2,-1,0,1,2,3

     1-2-3-4-5-6

Answer:

$9.60

Step-by-step explanation:

1.40=7

divide both by 7

0.2=1

multiply by 48

0.2 x 48=9.6