All categories

2 years ago

Solve. 4x+3y=5 2x+3y=1 x=? y=?

Mathematics

1 answer:

klasskru [66]2 years ago

5 0

Answer:

x = 2, and y = -1. Point form: (2, -1)

Step-by-step explanation:

You solve the system of equations, by solving for one variable, and then subsitiute that variable into the other equation.

You might be interested in

Calculate the area and perimeter plz help

kramer

Answer:

Figure 1:

Area: 30m^2

Perimeter: 23.6m

Figure 2:

Area: 98.8km^2

Perimeter:56.5km

Step-by-step explanation:

Area is base x height.

To get the perimeter, add up all the sides.

Figure 1:

Area:

6x5=30m^2

Perimeter: 6+5.8+6+5.8=23.6m

Figure 2:

Area:

7.6x13 = 98.8km^2

Perimeter:7.6+15+20+13.9=56.5km

7 0

2 years ago

The outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63 degre

Rasek [7]

Answer:

For 124 chirps per minute the temperature is 68 ºF.

For 68 chirps per minute the temperature is 54 ºF.

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form

$f(x)=b+mx$

b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.

m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.

We know that

At 104 chirps per minute, the temperature is 63 ºF.

At 176 chirps per minute, the temperature is 81 ºF.

This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and y = the temperature in ºF.

To find a linear function that let us find the outside temperature from how fast crickets chirp we must:

Find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{81-63}{176-104}=\frac{1}{4}$

Find the equation:

$81=\frac{1}{4}\cdot 104+b$

Solving for b

$b=81-\frac{1}{4} (176)=37$

Therefore, the linear function is

$y=\frac{1}{4} \cdot x+37$

Now, using this linear function we can know the temperature when we know the chirps per minute:

For 124 chirps per minute the temperature is:

$y=\frac{1}{4} \cdot (124)+37=68$

For 68 chirps per minute the temperature is:

$y=\frac{1}{4} \cdot (68)+37=54$

6 0

2 years ago

Solve the equation

Zina [86]

Answer: the equivalent equation is found by distributing the 1/4 to get 4+3x=28

the first step is subtract 4 to both sides

the second step is divide both sides by 3

the answer is x=8

Step-by-step explanation:

3 0

2 years ago

Manuel rented a truck for one day. There was a base fee of $14.95, and there was an additional charge of 87 cents for each mile

sp2606 [1]

base fee 14.95

0.87 cents per mile

total =248.98

248.98-14.95 = 234.03

234.03/0.87 =269 miles

7 0

3 years ago

Write an equation of a line perpendicular to the line 1/2x - 5 , passing through the point (-1 , 7)

jok3333 [9.3K]

<h3>Answer ↓</h3>

y=-2x+5

<h3>Calculations ↓</h3>

First of all we need to determine the slope of the line perpendicular to y = 1/2x - 5 .

The slopes of perpendicular lines are opposite reciprocals.

So we take 1/2 , turn it over , and change it's sign :

$^1/_2\:\:\:--- > ^2/_1\:\:\:--- > 2\:\:\:--- > -2$

The slope of the line perpendicular to y = 1/2x-5 is -2 .

Since we're also given a point that the line crosses , we can write the line's equation in point - slope form :

y-y₁=m(x-x₁)

y-7=-2(x-(-1)

y-7=-2(x+1)

Now convert to slope intercept :

y-7=-2x-2

add 7 on both sides :

$\footnotesize\text{hope\:helpful}$

7 0

1 year ago