Answer:
k = 1
Step-by-step explanation:
<u>Discriminant</u>




As we need to determine the value of k that will give <u>one solution</u>, set the <u>discriminant to zero</u>.
<u>Given equation</u>:

Therefore:
Substitute these values into the discriminant and solve for k:

Answer: (2,11)
Step-by-step explanation:
To find the point where the functions will intersect, we want to find the place that they are equal to each other. We do this by setting the equations equal to each other.
5x+1=-2x+15 [add both sides by 2x]
7x+1=15 [subtract both sides by 1]
7x=14 [divide both sides by 7]
x=2
Now, we know that the functions intersect at x=2. To find the point, we would plug x back into both equations to ensure that the points are the same.
f(2)=5(2)+1 [multiply]
f(2)=10+1 [add]
f(2)=11
The point on f(x) is (2,11).
g(2)=-2(2)+15 [multiply]
g(2)=-4+15 [add]
g(2)=11
The point on g(x) is (2,11).
Since the point at x=2 is the same for f(x) and g(x), we know that the graph intersects at (2,11).
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<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>
Answer:
128 degrees
Step-by-step explanation:
38+90=128