Can I please have some help

What is the solution the the system of equations graphed below y=-2x-4 y=x+2

Natali5045456 [20]

Answer:

(-2,0)

Step-by-step explanation:

y=-2x-4

y=x+2

------

x+2= -2x-4
3x=-6
x=-2
y=x+2=-2+2=0

(-2, 0) is the answer

5 0

3 years ago

Read 2 more answers

What is the equation of the following graph in vertex form?

Veronika [31]

Answer:

The equation in vertex form is:

$y=(x-2)^2+1$

Step-by-step explanation:

Recall that the formula of a parabola with vertex at $(x_{vertex},y_{vertex})$ is given by the equation in vertex form:

$y=a\,(x-x_{vertex})^2+y_{vertex}$

where the parameter $"a"$ can be specified by an extra information on any other point apart from the vertex, that parabola goes through.

In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

$y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-2)^2+1$

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter $a$ :

$y=a\,(x-2)^2+1\\5=a(0-2)^2+1\\5=a\,*\,4+1\\5-1=4\,a\\4=4\,a\\a=1$

The, the final form of the parabola's equation in vertex form is:

$y=(x-2)^2+1$

5 0

3 years ago

The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)2t. There are 25 bacteria prese

nordsb [41]

Answer: 1.67 hours.

Explanation:

1) Function that models the number of bacteria:

$B(t)=B_0(10)^{2t}$

2) Bo = 25, then the function is:

$B_0=25(10)^{2t}$

3) To know how many hours will elpase until the number of bactaria is 55,00, you equals B to 55,500 in the equation and solve for t, in this way:

i) start

$55000=25(10)^{2t)$

ii) division property

$2200=10^{2t}$

iii) antilogarithm property

$2t = log_{10}2200$

iv) division property

$t=\frac{log_{10}2200}{2}$

v) Due the operations:

t = 1.67 hours.

Note that the time is less than 2 hours. That sounds fine since after 1 hour there will be 10 times 25 (250 bacteria), and after 2 hours 100 times 25 (2500 bacteria).

3 0

3 years ago

Write a thesis statement for your argument aginst online learning

Marina86 [1]

Answer:

Online Learning is bad because it can cause social Isolation, it requires strong self-motivation and time management skills , Lack of communication skill development in online students and cheating prevention during online assessments is very complicated.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please Answer Quick 65 Points ! !

NeTakaya

The correct answers are:

The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Further explanation:

Given equations are:

2x-y = -5

x+3y = 22

We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations

Putting the point in 2x-y = -5

$2x - y = -5\\2(7) -19 = -5\\14-19 = -5\\-5 = -5$

Putting the point in x+3y=22

$7 + 3 (19) = 22\\7 + 57 = 22\\64 \neq 22$

The point satisfies the first equation but doesn't satisfy the second. So,

1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

This statement is true as the point satisfies the first equation

2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.

This Statement is false.

3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

This statement is true.

4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.

This statement is false as the ordered pair doesn't satisfy both equations.

Keywords: Solution of system of equations, linear equations

Learn more about solution of linear equations at:

#LearnwithBrainly

5 0

4 years ago