How many real solutions does the system have?
y= -3x-1
y= x^2 -3x + 4

No real solution of the given system.

Step-by-step explanation:

In this question the given equations are y = -3x - 1 and y = x²- 3x + 4.

We have to find the real solutions of the given system.

We will place the value of y from equation 1 to equation 2.

-3x - 1 = x² - 3x + 4

x² -3x + 3x + 4 + 1 = 0

x² + 5 =0

x² = -5

x = √(-5)

Therefore there is no real value of x.

Similarly the value of y of is also not defined.

Therefore there is no real solution for the system which we can see from the graph attached.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

c. side angle side. u shares the same sides