All categories

3 years ago

2y = 4 -x = -3 What is the solution to this system of equations?

Mathematics

1 answer:

professor190 [17]3 years ago

7 0

Answer:

<u>The solution to the system of equations given is (3, 2)</u>

Step-by-step explanation:

Let's solve the system of equations given:

2y = 4

-x = -3

****************

2y = 4

y = 4/2

y = 2

____________________

-x = - 3

x = 3

<u>The solution to the system of equations given is (3, 2)</u>

You might be interested in

The altitude of a triangle is increasing at a rate of 1.500 centimeters/minute while the area of the triangle is increasing at a

puteri [66]

Answer:

The base of the triangle is shrinking at a rate of $\frac{131}{32}$ centimeters per minute.

Step-by-step explanation:

The formula of the area of a triangle is given by the following expression:

$A = \frac{1}{2}\cdot b \cdot h$

Where:

$A$ - Area of the triangle, measured in square centimeters.

$b$ - Base of the triangle, measured in centimeters.

$h$ - Height of the triangle, measured in centimeters.

The base of the triangle is:

$b = \frac{2\cdot A}{h}$

If $A = 98000\,cm^{2}$ and $h = 8000\,cm$ , the base of the triangle is:

$b = \frac{2\cdot (98000\,cm^{2})}{8000\,cm}$

$b = 24.5\,cm$

The rate of change of the area of the triangle in time, measured in minutes, is obtained after differentiating by rule of chain and using deriving rules:

$\frac{dA}{dt} = \frac{1}{2}\cdot h\cdot \frac{db}{dt} + \frac{1}{2}\cdot b \cdot \frac{dh}{dt}$

$\frac{dA}{dt} = \frac{1}{2} \cdot \left(h\cdot \frac{db}{dt}+b \cdot \frac{dh}{dt} \right)$

The rate of change of the base of the triangle is now cleared:

$2\cdot \frac{dA}{dt} = h\cdot \frac{db}{dt} + b\cdot \frac{dh}{dt}$

$h\cdot \frac{db}{dt} = 2\cdot \frac{dA}{dt}-b\cdot \frac{dh}{dt}$

$\frac{db}{dt} = \frac{2\cdot \frac{dA}{dt} - b \cdot \frac{dh}{dt} }{h}$

Given that $\frac{dA}{dt} = 2000\,\frac{cm^{2}}{min}$ , $b = 24.5\,cm$ , $\frac{dh}{dt} = 1500\,\frac{cm}{min}$ and $h = 8000\,cm$ , the rate of change of the base of the triangle is:

$\frac{db}{dt} = \frac{2\cdot \left(2000\,\frac{cm^{2}}{min} \right)-(24.5\,cm)\cdot \left(1500\,\frac{cm}{min} \right)}{8000\,cm}$

$\frac{db}{dt} = -\frac{131}{32}\,\frac{cm}{min}$

The base of the triangle is shrinking at a rate of $\frac{131}{32}$ centimeters per minute.

5 0

3 years ago

Helpppppp meeeee plzzzzzzzzzz

djyliett [7]

Answer:

they got -21 when they were supposted to get +21

and they also got +6x when they were supposted to get -6x

Step-by-step explanation:

that's because -3 and 2x are multiplied together and when you are multiplying negative and positive number you need to get negative result.

when you are multiplying negative with negative number, you will get positive number.

8 0

3 years ago

. Error Analysis Describe and correct the error

aleksklad [387]

Answer:

Step-by-step explanation:

$\sqrt{144} = 12$

the error was in not take the root of the number correctly

the student assumes that the root of 144 was equal to 72

4 0

3 years ago

3x-4 3x-8 solve for x

Law Incorporation [45]

Answer:

Step-by-step explanation:

(3x-4)+(3x-8)=180

6x-12=180

6x=192

X=32

3 0

3 years ago

A candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer randoml

Otrada [13]

Answer:

Option B

Step-by-step explanation:

Given that a candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer randomly sample packages from multiple batches at one factory.

Because he resorts to only one factory, there may be bias in the sample. Other factories may have different processes of the settings and also if a diversified sample is taken then it is likely to represent the whole population, and hence results would be more accurate

Option A is incorrect since only one factory was done

C and D are not selected because one factory result cannot be generalised to all other factors in the same country or outside.

So answer would be

B) No, because the other factories may have different processes or the settings

7 0

3 years ago