Which of the following rational functions is graphed below?
O A. F(X) =
x) =
B. F(x)
1
C. F(x)
(x - 3)2

Answer:

Cori could be 35 years old.

Livy could be 8 years old

Step-by-step explanation:

Given

[tex]C + L \ge 43[/tex]

[tex]C - 4L \ge 3[/tex]

Required

Possible values of C and L

Make C the subject in: [tex]C - 4L \ge 3[/tex]

[tex]C \ge 3 + 4L[/tex]

Substitute for C in [tex]C + L \ge 43[/tex]

[tex]3 + 4L + L \ge 43[/tex]

[tex]3 + 5L \ge 43[/tex]

Collect like terms

[tex]5L \ge 43-3[/tex]

[tex]5L \ge 40[/tex]

Solve for L

[tex]L \ge 8[/tex]

Solve for C

[tex]C \ge 3 + 4L[/tex]

[tex]C \ge 3 + 4 * 8[/tex]

[tex]C \ge 35[/tex]

Answer:

$5.50

Step-by-step explanation:

5+6= 11

11/2

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = [tex]\frac{1}{2}[/tex] PQ , so

5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46

Answer:

H=(1,3)

This because the x-axis position is 1, and the y-axis position is 3.

Answer:

2

Step-by-step explanation:

When the point on the x-axis is on -3, the point on the y-axis is 2. Therefore, f(-3) is equal to 2.

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Answer:

the answer is B i think

Step-by-step explanation:

Answer: 2^-3 = 1/8

2^-1 = 1/2

you have to multiply 2^-3 by 4 to get to 2^-1

Step-by-step explanation:

Answer:

A. (0,-2)

Step-by-step explanation:

Meaning of a rational number is a number that can be expressed as the quotient or fraction

p/q of two integers, a numerator p and a non-zero denominator q.

Answer:

(A). (0,-2)

Step-by-step explanation:

y-intercept means the points in which the funtion crosses the y-axis. According to the graph you can see that at (0,-2) it crosses the axis and therefore (0,-2) is the answer.

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Answer:

No, ice cream cannot fits inside the cone.

Step-by-step explanation:

radius of cone, r = 3 cm

height of cone, h = 10 cm

radius of ice cream sphere, R = 33.5 cm

The volume of the cone is

[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]

Volume of ice cream

[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]

As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.

Answer:

1. 20 degrees celsius

2. 24 degrees celsius

3. decreased

4. 6am

5. 10am

Step-by-step explanation:

Answer:

[tex]\dfrac{-x}{3}[/tex]should be added to the given equation.

Step-by-step explanation:

Let a is added to the given equation.

According to the given condition,

[tex]\dfrac{5x}{6}-4+a=\dfrac{x}{2}-4\\\\a=\dfrac{x}{2}-4+4-\dfrac{5x}{6}\\\\a=\dfrac{x}{2}-\dfrac{5x}{6}\\\\a=\dfrac{3x-5x}{6}\\\\a=\dfrac{-2x}{6}\\\\a=\dfrac{-x}{3}[/tex]

So, [tex]\dfrac{-x}{3}[/tex]should be added to the given equation.

Answer:

Step-by-step explanation:

Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),

Distance =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1). Distance between (4, 1) and (2, 2) = [tex]\sqrt{(4-2)^2+(1-2)^2}[/tex]

                                                        = [tex]\sqrt{5}[/tex]

                                                        = 2.24

2). Distance between (-5, 2) and (-3, -2) = [tex]\sqrt{(-5+3)^2+(2+2)^2}[/tex]

                                                            = [tex]\sqrt{20}[/tex]

                                                            = 4.47

3). Distance between (3, -4) and (-2, 1) = [tex]\sqrt{(3+2)^2+(-4-1)^2}[/tex]

                                                          = [tex]\sqrt{50}[/tex]

                                                          = 7.07

4). Distance between (-1, -2) and (1, -4) = [tex]\sqrt{(1+1)^2+(-4+2)^2}[/tex]

                                                          = [tex]\sqrt{8}[/tex]

                                                          = 2.83

5). Distance between (5, -2) and (-1, -1) = [tex]\sqrt{(5+1)^2+(-2+1)^2}[/tex]

                                                           = [tex]\sqrt{37}[/tex]

                                                           = 6.08

Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07

Answer:

Use the formula of distance between two points (x₁, y₁) and (x₂, y₂),

Distance =  

1). Distance between (4, 1) and (2, 2) =

                                                       =

                                                       = 2.24

2). Distance between (-5, 2) and (-3, -2) =

                                                           =

                                                           = 4.47

3). Distance between (3, -4) and (-2, 1) =

                                                         =

                                                         = 7.07

4). Distance between (-1, -2) and (1, -4) =

                                                         =

                                                         = 2.83

5). Distance between (5, -2) and (-1, -1) =

                                                          =

                                                          = 6.08

Therefore, increasing order of the distance will be 2.24 > 2.83 > 4.47 > 6.08 > 7.07

Step-by-step explanation:

Answer:

The average rate of change in that interval is 1.99

Step-by-step explanation:

Here we have that the difference quotient for g(x) is:

[tex]\frac{6^{x + h} - 3 - 6^x + 3}{h}[/tex]

Remember that for a general function f(x), the difference quotient is:

[tex]\frac{f(x + h) - f(x)}{h}[/tex]

So if we look at the difference quotient for g(x), we can conclude that:

[tex]g(x) = 6^x - 3[/tex]

Also remember that the average rate of change in an interval (a, b) is just:

[tex]\frac{g(b) - g(a)}{b - a}[/tex]

So here we want the average rate of change of g(x) in the interval from x = -2 to x = 1, this is:

[tex]R = \frac{(6^1 - 3) - (6^{-2} - 3)}{1 - (-2)} = \frac{6 - 6^{-2}}{3} = 1.99[/tex]

The average rate of change in that interval is 1.99

Answer:

Moda de Pablo: 4

Moda de Claudio: No tiene.

Step-by-step explanation:

Después de una pequeña búsqueda online, encuentre las tablas para este problema, las cuales se pueden observar abajo.

La moda es el valor que más se repite, para el caso de Pablo, podemos ver que el valor 14 se repite dos veces (de hecho es el único que se repite). Entonces es el valor que más se repite. Entonces la moda de Pablo es 14.

Para el caso de Claudio podemos ver que ningún valor se repite, entonces los datos de Claudio no tienen una moda.

Answer:

I hope it helps u..........

Respuesta:

Ingresos = 9500

Ingresos = 8573,75

Explicación paso a paso:

La ecuacion:

Yo = 10000 (0,95) ^ (0,2) p

p = monto gastado en publicidad

Los ingresos totales cuando no hay gastos:

p = 0

Yo = 10000 (0,95) ^ (0,2) * 0

Yo = 10000 (0,95) ^ 0

Yo = 10000 (0,95)

Yo = 9500

Si el gasto mensual de la promoción es de $ 15

p = $ 15

Yo = 10000 (0,95) ^ (0,2) * 15

Yo = 10000 (0,95) ^ 3

Yo = 10000 (0,857375)

Yo = 8573,75

Answer:

False

Step-by-step explanation:

False

There is not enough information to guarantee the lines are perpendicular.

No, we can not say that AB and CD are perpendicular from the information given.

Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.

The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.

Given that a triangle ABC, divided into two triangles by a line DC, also

angle DAC and DBC are congruent,

From the given information we can not conclude any relation between both triangles,

Hence, we can not say that AB ⊥ CD

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Answer:

Cost of 4.25 kilogram potato = $2.38 (Approx.)

Step-by-step explanation:

Given:

Cost of 2.5 kilogram potato = $1.40

Find:

Cost of 4.25 kilogram potato

Computation:

Cost potato = Amount of potato need[Price of y potato / Amount of y potato]

Cost of 4.25 kilogram potato = [4.25][1.40 / 2.5]

Cost of 4.25 kilogram potato = [4.25][0.56]

Cost of 4.25 kilogram potato = 2.38

Cost of 4.25 kilogram potato = $2.38 (Approx.)

Answer:

False

Step-by-step explanation:

If angle 2 and angle 5 are equal in length, then what we have is that the two lines are not parallel

For the two lines to be parallel, these two angles should be supplementary

what this mean is that these two angles should add up to give 180 degrees

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{ - 21}{10} \:(or) \: - 2 \frac{1}{10} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{8}{ - 5} + ( \frac{ - 1}{2} )[/tex]

[tex] \\= \frac{ - 8}{5} - \frac{1}{2} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 5 and 2 is 10.

Now, multiply the L.C.M. with both numerator & denominator.

[tex]\\ = \frac{ - 8 \times 2}{5 \times 2} - \frac{1 \times 5}{2 \times 5} [/tex]

[tex] \\= \frac{ - 16}{10} - \frac{5}{10} [/tex]

Now that the denominators are equal, we can subtract the numerators.

[tex] \\= \frac{ - 16 - 5}{10} [/tex]

[tex] \\= \frac{ - 21}{10} [/tex]

[tex] \\= - 2 \frac{1}{10} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♨}}}}}[/tex]

Answer:

-21/10

Step-by-step explanation:

-8/5. + -1/2

2(-8/5) + (-1/2)5

-16/10 - 5/10

-21/10

Answer:

Volume of cone = 33.49 inch³

Step-by-step explanation:

Missing information;

Height of cone = 8 inch

Diameter of cone = 4 inch

Find:

Volume of cone

Computation:

Radius of cone = Diameter of cone / 2

Radius of cone = 4 / 2

Radius of cone = 2 inch

Volume of cone = [1/3][πr²h]

Volume of cone = [1/3][(3.14)(2)²8]

Volume of cone = [1/3][(3.14)(4)8]

Volume of cone = [1/3][(3.14)(32)]

Volume of cone = [1/3][100.48]

Volume of cone = 33.49 inch³

Given:

Two rectangles are similar.

Length of first rectangle = 18 cm

Width of first rectangle = 6 cm

Width of second rectangle = 2 cm

To find:

The length of the second rectangle.

Solution:

We know that the corresponding sides of similar triangles are proportional. So,

[tex]\dfrac{\text{Length of first rectangle}}{\text{Width of first rectangle}}=\dfrac{\text{Length of second rectangle}}{\text{Width of second rectangle}}[/tex]

Let x be the length of the second rectangle. Then,

[tex]\dfrac{18}{6}=\dfrac{x}{2}[/tex]

[tex]3=\dfrac{x}{2}[/tex]

[tex]3\times 2=x[/tex]

[tex]6=x[/tex]

Therefore, the length of the second rectangle is 6 cm.

Answer:

angle IGH = 50 degree

Step-by-step explanation:

triangle GHI is an isosceles triangle because it's two sides are equal.

if angle I is 50 degree then angle G is also 50 degree becasue in isosceles triangle the base angles are equal.

Answer:

If the shape of end face has n sides

Then, in total, there are n+2 faces

Using that formula

Faces in 20-sided polygon = n+2 = 20+2 = 22

Step-by-step explanation:

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Answer:

12

Step-by-step explanation:

Length of the radius of the circle is equals to 6units.

" Length of the arc is defined as the distance between two point as a part of the circumference of the given curve."

Formula used

Length of the arc = rθ

r = radius of the circle

θ = central angle

Radius = [tex]\frac{diameter}{2}[/tex]

According to the question,

Given,

Diameter = AB

Length of the arc = 6pi

Here central angle formed with diameter 'θ' = 180°

                                                                     = [tex]\pi[/tex]

Substitute the value in the length of the arc formula we get,

   [tex]6\pi = r \pi[/tex]

⇒ [tex]r = 6units[/tex]

Hence, length of the radius of the circle is equals to 6units.

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Answer:

8900000 * 10^-3

Step-by-step explanation:

(8.9*10^-3)/(10^-6)

(8.9*10^-3)/(1/1000000)

8.9*10^-3* 1000000

8900000 * 10^-3

Answer:

D

Step-by-step explanation:

higher amount then the rest

Answer:

-177.8 feet below sea level.

Step-by-step explanation:

First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.

Hope this helps!