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3 years ago

How to solve to system y=x^2-2 y=2x+1

Mathematics

1 answer:

vovikov84 [41]3 years ago

7 0

Answer:

the solutions are (3, 7) and (-1, -1)

Step-by-step explanation:

Insert the " = " symbol between the two equations, obtaining:

y = x^2 - 2 = y = 2x + 1

Then x^2 - 2 = 2x + 1, or

x^2 - 2x - 3 = 0, and this can be factored into (x - 3)(x + 1) = 0.

Thus, the x values that satisfy this system are {-1, 3}.

Use y = 2x + 1 to find the corresponding y values:

y = 2(-1) + 1 = -1

and

y = 2(3) + 1 = 7

Then the solutions are (3, 7) and (-1, -1)

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The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Montano1993 [528]

Answer:

$0.2$ miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points $(0,3), (5,4),(10,5)...$

From these points we can find the slope of the line .

From point slope formula $y-y_1=m(x-x_1)$

And assigning $(x,y) (0,3)$ and $(x_1,y_1) (5,4)$

$m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2$

This slope is also the speed of the bird which is $0.2\ miles\ per\ minute.$

As by plugging the values of any coordinate point we can confirm this.

Lets put $(10,5)$ , y-axis is the distance so in $10$ minutes the the distance covered by the bird must be equal to to y-axis value which is $5$ miles.

$y=0.2(x),y=0.2(10)=5\ miles$

Now as in $t=0$ the bird has started from y-intercept value $3$ so we can say that,the original distance of the bird from its nest is $3\ miles$ .

So the correct choices are: $B$ and $D$

The birds speed is $0.2\ miles$ per minute and is $3\ miles$ away from its nest.

7 0

3 years ago

nikitadnepr [17]

Answer:

i am not so sure but I think its 10x = 33

3 0

3 years ago

Val walks 2 3 fifths miles each day. Bill runs 10 miles once every 4 days. In four days, who covers the greater distance?

melisa1 [442]

Val covers greater distance because 2 3/5 x 4 = 10 2/5. Bill only ran 10 miles so Val covered 2/5 more miles than him.

3 0

3 years ago

Emily is preparing cookies for her friends she is at the market where she sees a 14 ounce bag of chocolate chips for 3.50 the ma

g100num [7]

Answer:

Bag 2

Step-by-step explanation:

Given

Bag 1:

$14\ ounce = 3.50$

Bag 2:

$24\ ounce = 5.28$

Required

Which is a better buy

To get which buy is better, we first get the unit price of each bag.

$Unit\ Price = Amount/Size$

For bag 1:

$Unit\ Price = 3.50/14$

$Unit\ Price = 0.25$

For bag 2:

$Unit\ Price = 5.28/24$

$Unit\ Price = 0.22$

The best buy is the one with smaller unit price

Hence, bag 2 is better to buy

4 0

3 years ago

A circuit has a current of (8 + 7i) amps, and another circuit has a

Schach [20]

Answer:

Answer:  3 + 10i 

Step-by-step explanation:

$= { \rm{(8 + 7i) - (5 - 3i)}} \\ \\ = { \rm{(8 - 5) + (7 + 3)i}} \\ \\ { = \rm{3 + 10i}}$

8 0

2 years ago

Read 2 more answers