All categories

3 years ago

How many real solutions will y=x^2 and y=-2x have? what are the solutions?

Mathematics

2 answers:

kogti [31]3 years ago

7 0

Answer:

there is none

Step-by-step explanation:

Tom [10]3 years ago

7 0

Answer:

No solutions

Step-by-step explanation:

Real number solutions only or real and complex solutions. A solution to the system:

y=-2x+2

y=x2-2x+4

is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that

-2x+2=x2-2x+4

solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.

You might be interested in

Marcia is 1.5 meters tall. she casts a shadow that is 2 meters long. a nearby building casts a shadow that is 24 meters long. ho

ankoles [38]

Ratio and proportion

height:shadow=1.5:2

for the building, shadow=24

1.5:2=h:24
1.5/2=h/24
multiply both sides by 24
36/2=h
18=h
the building is 18 meters

3 0

3 years ago

Read 2 more answers

In a mapping diagram each _____ corresponds to an ordered pair. A.) input value B.)relation C.)arrow D.)output value

Lilit [14]

The answer is c. relation

5 0

3 years ago

A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents t

Neko [114]

Answer:

A) A[p(t)] = 36πt²

B) 7234.56 square units

Step-by-step explanation:

Given functions:

$\begin{cases}p(t)=6t \\ A(p)=\pi p^2 \end{cases}$

Part A

To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):

$\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}$

Part B

Given

t = 8 minutes
π = 3.14

Substitute the given values into the equation for A[p(t)} found in part A:

$\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}$

Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.

4 0

2 years ago

Read 2 more answers

What digit(s) can be in the one's place of a number that has 5 as a factor?

max2010maxim [7]

Any number that ends with a 0 or a 5 would be a multiple of 5 because as you multipy numbers by 5 you start to see a pattern in the ones place of 5,0,5,0,5,0,5,0,... And so on forever

6 0

3 years ago

Read 2 more answers

3y = x - 12 Y= 1/3X -4 parallel, perpendicular or neither

aliina [53]

Answer:

PARALLEL

Step-by-step explanation:

The second equation, y = (1/3)x - 4, has already been solved for y. To compare the slopes easily, we need now to solve the first equation for y, obtaining y = (1/3)x - 4.

We see that these two lines have the same slope, m = 1/3, and thus conclude that these lines are PARALLEL.

5 0

3 years ago