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3 years ago

What is the Y intercept in the equation Y equals 4X -3

Mathematics

2 answers:

lesya692 [45]3 years ago

7 0

Answer:

- 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 3 ← is in slope- intercept form

with y- intercept c = - 3

mariarad [96]3 years ago

5 0

Answer:

-3

Step-by-step explanation:

y=4x-3

This is in the form

y= mx +b

where m is the slope and b is the y intercept

4 is the slope and -3 is the y intercept

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What is the coefficient in the algebraic expression 7 xy2 ?

Monica [59]

The answer is 7!

The number In front of the variable is always the coefficient.

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3 years ago

A particle moving in a planar force field has a position vector x that satisfies x'=Ax. The 2×2 matrix A has eigenvalues 4 and 2

andrey2020 [161]

Answer:

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

Step-by-step explanation:

Consider the provided matrix.

$v_1=\begin{bmatrix}-3\\1 \end{bmatrix}$

$v_2=\begin{bmatrix}-1\\1 \end{bmatrix}$

$\lambda_1=4, \lambda_2=2$

The general solution of the equation $x'=Ax$

$x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}$

Substitute the respective values we get:

$x(t)=c_1\begin{bmatrix}-3\\1 \end{bmatrix}e^{4t}+c_2\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

Substitute initial condition $x(0)=\begin{bmatrix}-6\\1 \end{bmatrix}$

$\begin{bmatrix}-3c_1-c_2\\c_1+c_2 \end{bmatrix}=\begin{bmatrix}-6\\1 \end{bmatrix}$

Reduce matrix to reduced row echelon form.

$\begin{bmatrix} 1& 0 & \frac{5}{2}\\ 0& 1 & \frac{-3}{2}\end{bmatrix}$

Therefore, $c_1=2.5,c_2=1.5$

Thus, the general solution of the equation $x'=Ax$

$x(t)=2.5\begin{bmatrix}-3\\1\end{bmatrix}e^{4t}-1.5\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

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3 years ago

A bag contains 2 red, 5 blue, and 3 green marbles. A marble is chosen at random. What is the probability of NOT choosing a red m

Lapatulllka [165]

Step-by-step explanation:

Number of red = 2
Number of blue = 5
Number of green = 3

total number of marbles = 10

<h3>probability of not choosing a red marble = 1--choosing a red marble.</h3>

Because probability is always one(1).

Probability =

 $1 - \frac{2}{10}$ 

 $\frac{8}{10}$ 

 $\frac{4}{5}$ 

Is the probability of not choosing a red marble.

4 0

2 years ago

Your birds drink 8 1/3 ounces of water a day. How many ounces of water do they drink in 6 days?

Novay_Z [31]

50 ounces

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2 years ago

A cube has a lateral surface area of 64sq m find the total surface area of the cube

Roman55 [17]

Answer:

384 square meters.

Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

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3 years ago