Consider the piecewise function shown on the graph, which is composed of polynomial, constant, and exponential pieces.

alex41 [277]

Answer:

Line y = -x + 2 intersects line y = 3x + 1

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect. To find this point, first equate the equations and solve for x:

$\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}$

Substitute the found value of x into one of the equations, and solve for y:

$y=3\left(\dfrac14\right)+1=\dfrac74$

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

$\left(\dfrac14,\dfrac74\right)$

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

3 0

2 years ago

Giving branly to the frist one to answer and give the best and right answer

musickatia [10]

Using translation concepts, it is found that his mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Initially, researching the problem on the internet, it is found that the market is at position (3,8).

Then, it was shifted 2 units left and 3 units down, hence the new position is given by:

(3 - 2, 8 - 3) = (1,5).

His mistake was that he made the shifts on the wrong coordinates, and the new location is at (1,5).

More can be learned about translation concepts at brainly.com/question/4521517

4 0

2 years ago

What is the value of x in the equation 8 + x = 3? (4 points) −5 5 11 24

Irina18 [472]

Answer:

-5 is the correct answer

8 0

3 years ago

Read 2 more answers

Solve for z 3=(z+1) write your answers as integers or as proper or improper fractions

ch4aika [34]

Answer:

z=2

Step-by-step explanation:

Just solve

1 + z = 3 (minus 1 on both sides)

z = 2

Plug in

3=(2+1)

3 = 3

7 0

3 years ago

Pleaseee someone help me :( Ive been stuck on this for an hour

Whitepunk [10]

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ = a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

Hope this helps you out! :)

Also, it's OK! This was actually pretty hard to figure out!

6 0

3 years ago