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2 years ago

Which point do the graphs of f and g have in common?

Mathematics

1 answer:

pickupchik [31]2 years ago

6 0

The point that the graphs of f and g have in common are (1,0)

<h3>How to get the points?</h3>

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0).

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An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinn

suter [353]

The number of people attended dinner is 102.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.

It is given in the question that

An awards dinner costs $225 plus $5 for each person making reservations

the total bill is $735

people attended the dinner = ?

Let x number of people attended the dinner

$225 + $5 * x = $735

5x = 735-225

5x = 510

x = 102

Therefore , 102 people attended the dinner.

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3 0

2 years ago

in a farm 6084 trees aer planted in such a way that there are as many trees in a row as there are row. how many rows are there?

Leno4ka [110]

Answer:

78 trees

Step-by-step explanation:

No. of trees planted = Area of square

No. of trees planted = 6084

Row = side of square

Side = √(Area)

Side = √(6084)

Side = 78 trees

7 0

3 years ago

Mr. Hong brought his 7 year-old daughter, Jin and his 10 year-old son, Cai, to Redwood Amusement Park. An Admission ticket coste

kompoz [17]

$20.25 because 8.50 and 8.50 equal 17 and then subtract 2.00 makes 15, and then add 5.25 and you end up with 20.25

4 0

3 years ago

What is the 185th digit in the following pattern 12345678910111213141516...?

Natalka [10]

1-9 = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899. Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.

The 185th digit is 7.

4 0

4 years ago

En una fiesta hay 40 asistentes de los cuales el número de varones que no bailan es el doble que el número de las mujeres que no

Arte-miy333 [17]

Answer:

50%

Step-by-step explanation:

Para resolver este problema vamos a definir 4 variables:

V= número de varones bailando.

M= número de mujeres bailando.

V' = número de varones que no están bailando.

M' = número de mujeres que no están bailando.

Sabemos que hay 40 personas en la fiesta, por lo que podemos construir la siguiente ecuación:

V+M+V'+M'=40

Vamos a suponer que cada mujer que está bailando, está bailando varón respectivamente. (El problema no da más información, entonces podemos suponer esto.)

Entonces si hay 5 mujeres bailando, entonces también hay 5 hombres bailando, por lo que nuestra ecuación se reescribe de la siguiente manera:

5+5+V'+M'=40

y simplificamos:

10+V'+M'=40

V'+M'=40-10

V'+M'=30

Ahora bien, el problem nos dice que el número de varones que no bailan es el doble del número de mujeres que no bailan en un determinado momento. Entonces con esta información podemos construir la siguiente ecuación:

V'=2M'

Y podemos despejar el número de mujeres que no bailan, lo que nos da:

$M'=\frac{V'}{2}$

Entonces podemos sustituir esto dentro de nuestra ecuación para obtener:

$\frac{V'}{2}+V'=30$

y podemos entonces despejar V'

$\frac{3V'}{2}=30$

$V'=\frac{2(30)}{3}$

V'=20

Entonces hay 20 varones que no están bailando, por lo que la probabilidad de que el varón que se escoge al azar no esté bailando está dada por la siguiente fórmula:

$P=\frac{V'}{total}$

$P=\frac{20}{40}=\frac{1}{2}$

P=50%

6 0

3 years ago