All categories

3 years ago

Is (3,8) a solution to the inequality 14x + 12y = 12?

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

3 0

Answer:

No

Step-by-step explanation:

14x + 12y = 12

(3, 8)

14(3) + 12(8) = 12

42 + 96 = 12

138 = 12

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Determine if there is a proportional relationship between the two quantities

Shalnov [3]

Answer:

The table a not represent a proportional relationship between the two quantities

The table b represent a proportional relationship between the two quantities

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Verify each table

Table a

Let

A ----> the independent variable or input value

B ----> the dependent variable or output value

the value of k will be

$k=\frac{B}{A}$

For A=35, B=92 ---> $k=\frac{92}{35}=2.63$

For A=23, B=80 ---> $k=\frac{80}{23}=3.48$

the values of k are different

therefore

There is no proportional relationship between the two quantities

Table b

Let

C ----> the independent variable or input value

D ----> the dependent variable or output value

the value of k will be

$k=\frac{D}{C}$

For C=20, D=8 ---> $k=\frac{8}{20}=0.40$

For C=12.5, D=5 ---> $k=\frac{5}{12.5}=0.40$

the values of k are equal

therefore

There is a proportional relationship between the two quantities

The linear equation is equal to

$D=0.40C$

7 0

2 years ago

What’s 4 and 3/16 + 1 and 1/10 in simplest form?? PLEASE NEED THIS ASSAP pleaseeee

mrs_skeptik [129]

5 and 23/80 is the answer

3 0

2 years ago

Read 2 more answers

Al trazar en el plano cartesiano el angulo a cuyo lado terminal es el punto de ( 3,4). Los valores de las funciones del coseno y

Igoryamba

Answer:

$cos(\alpha)=\frac{3}{5}=0.6$

$cosec(\alpha)=\frac{5}{4}=1.25$

Step-by-step explanation:

El cos(α) se define como el cociente entre el cateto adyacente y la hipotenusa.

El valor del cateto adyacente en nuestgro caso es CA = 3.

La hipotenusa se calcual de la siguiente manera:

$h=\sqrt{3^2+4^2}=5$

Por lo tanto, el cos(α) sera:

$cos(\alpha)=\frac{3}{5}=0.6$

El cosec(α)=h/CO.

El cateto opuesto CO = 4 y la hipotenusa h = 5

Por lo tanto, el cosec(α) sera:

$cosec(\alpha)=\frac{5}{4}=1.25$

Espero te haya sido de ayuda!

4 0

3 years ago

3. if y varies directly as x and y=23.1 when x=36.3, find y when x=11.

STatiana [176]

Answer:

the answer is 5 because thats the varible

Step-by-step explanation:

8 0

2 years ago

Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equa

anyanavicka [17]

Answer:

$Percent = \frac{100a}{b}\%$

Step-by-step explanation:

Given

$\frac{a}{b}$

Required

Convert to fraction

To do this, we simply multiply the fraction by 100%

This gives:

$Percent = \frac{a}{b} * 100\%$

$Percent = \frac{a * 100}{b}\%$

$Percent = \frac{100a}{b}\%$

The expression cannot be further simplified.

Take for instance the fraction is: $\frac{2}{5}$

Using the same analysis, the percentage would be:

$Percent = \frac{2}{5} * 100\%$

$Percent = \frac{2 * 100}{5}\%$

$Percent = \frac{200}{5}\%$

$Percent = 40\%$

5 0

2 years ago

Read 2 more answers