All categories

3 years ago

How many solutions does the system have? y=3x+3 y=-2x+3

Mathematics

2 answers:

STatiana [176]3 years ago

8 0

Answer:

One solution (0, 3).

Step-by-step explanation:

As both expressions in x are equal to y:

3x + 3 = -2x + 3

3x + 2x = 3 - 3

5x = 0

x =0.

So y = 3(0) + 3 = 3.

padilas [110]3 years ago

3 0

Answer:

The system has a unique solution pair (x,y)

Step-by-step explanation:

Since both linear equations are given to you solved for "y", each equation is in "slope-intercept form" which is unique. These equations show that they possess different slopes (signaled in bold in the equations below):

y = 3 x +3

y = -2 x +3

(one has slope "3" and the other one slope "-2"), and therefore they are forced to intersect. One represents a line going up (positive slope) and the other one a line going down (negative slope). That means that the system will intersect in one well defined point on the plane, giving a UNIQUE solution to the system.

You might be interested in

A: (-5, -5), B: (-1, 3), C: (5, -1)

natka813 [3]

Answer:

hdhssoslwlwlalskskskskskskkskkskskskskskskdkkdkskskskskskkskskskskskskskskskskskssk

Step-by-step explanation:

zhsuussusuisjakakaksjbutsruaffTfkgkygyogdydyoygggdhdylfkgldgdhlhddlhhl

8 0

3 years ago

The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then p

Snezhnost [94]

The plot shown is a histogram, not a line plot.

The average quantity is
.. (2*1/4 +2*3/8 +2*1/2 +5/8 +3/4 +7/8)/(2 +2 +2 +1 + 1 + 1)
.. = (4 1/2)/9 = 1/2

Each beaker would have 1/2 milliliters.

3 0

3 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

inn [45]

Answer:

Product A has a greater percentage change in price.

Step-by-step explanation:

Part A:

The price f product A, f (x) after x years is given by:

$f(x) = 0.69\cdot(1.03)^{x}$

After x = 0 years, the price of product A is:

$f(0) = 0.69\cdot(1.03)^{0}=0.69$

After x = 1 years, the price of product A is:

$f(1) = 0.69\cdot(1.03)^{1}=0.69\cdot (1+0.03)=0.69\cdot (1+3\%)$

After 1 year, the price of product A is 3% times more than the original price.

This means that after one year, the new price is 103% of the original price, which means the price product A is increasing by 3%.

Again after x = 2 years, the price of product A is:

$f(2) = 0.69\cdot(1.03)^{2}=[0.69\cdot (1+3\%)]\times (1.03)$

This implies that after 2 years, the price of product A is 103% of the price after year 1.

This implies that the price of product A is 3% more than the previous year.

Thus, the price of product A is increasing each year by 3%.

Part B:

The data for Product B is as follows:

Time (t) Price [f (t)]

1 10,100

2 10,201

3 10,303.01

4 10,406.04

Product B is clearly increasing in price.

Consider the changes in price of Product B in the following intervals of years:

Year 1 - Year 2:

Price in year 1 = $10,100

Price in Year 2 = $10,201

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10201-10100}{10100}=0.01=1\%$

Year 2 - Year 3:

Price in Year 2 = $10,201

Price in year 3 = $10,303.01

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10303.01-10201}{10201}=0.01=1\%$

Year 3 - Year 4

Price in year 3 = $10,303.01

Price in Year 4 = $10,406.04

Compute the increase percentage as follows:

$\text{Increase}\%=\frac{10,406.04-10303.01}{10303.01}=0.09999\approx 0.01=1\%$

It is quite clear that the price of product B increases by 1% each year.

Thus, Product A has a greater percentage change in price.

3 0

3 years ago

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the

valentina_108 [34]

No, because if you add both of you and your friend's weight, it becomes 338. if you add that to 675, it becomes 1,013 lbs., which is over 1,000 lbs.

3 0

3 years ago

HELLLLLLP RNNN PLSSSSSSSSSSSS

Rashid [163]

Answer:

Your answer would be number 4, "A and D"

Step-by-step explanation:

I already know that if you multiply a number by less than 1 it will give a product less than the original number so that makes B and C not the correct answer leaving a and d

I hope this helps :D

8 0

3 years ago

Read 2 more answers