Use the figure to complete the cross number puzzle
1 answer:
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Answer:
k = -5
Step-by-step explanation:
The function f(x) passes through the points (-4,0) and (-2,2).
Therefore, the equation of the straight line is given by
⇒
⇒ y = x + 4
⇒ f(x) = x + 4 ......... (1)
Now, g(x) passes through the points (-4,0) and (-2,-10).
Then the equation will be
⇒
⇒ y = - 5x - 20 = - 5 (x + 4)
⇒ g(x) = -5 (x + 4) ....... (2)
Therefore, from equations (1) and (2) we get k = -5 (Answer)
We have that
y=x²<span>+3x-5
</span>y=4x+1
using a graph tool
see the attached figure
the solution are the points
(-2,-7)
(3,13)
<span>the solution obtained by the student
</span>(-2,0)
(3,0)<span>
is incorrect because the values of the coordinate y are incorrect
</span>the values of x are correct
x1=-2
x2=3
<span>with those values of x obtained, the student had to substitute it in any of the two equations to obtain the value of y
</span>so
for x=3
y=4x+1------> 4*(3)+1-----> y=13
for x=-2
y=4x+1------> 4*(-2)+1-----> y=-7
y=x²<span>+3x-5
</span>y=4x+1
using a graph tool
see the attached figure
the solution are the points
(-2,-7)
(3,13)
<span>the solution obtained by the student
</span>(-2,0)
(3,0)<span>
is incorrect because the values of the coordinate y are incorrect
</span>the values of x are correct
x1=-2
x2=3
<span>with those values of x obtained, the student had to substitute it in any of the two equations to obtain the value of y
</span>so
for x=3
y=4x+1------> 4*(3)+1-----> y=13
for x=-2
y=4x+1------> 4*(-2)+1-----> y=-7