Need help on 5 and 6
1 answer:
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Answer:
Solution (1.8,1.61)
Step-by-step explanation:
Let us do it one by one.
Graph 1 :
y=-3x+7
Let us find some random coordinates to graph this equation
x = 0 ; y = -3(0)+7 = 7
(0,7)
x=1 ; y=-3(1) + 7 = -3+7=4
(1,4)
Plotting these coordinates on graph , and joining them will give us the line on the graph.
Graph 2 :
y = Sqrt ( 2x-1)
let us find random cordinates for some values of x
x=1, y = sqrt (2(1)-1) = sqrt (1) = 1
(1,1)
x=0.5 , y = sqrt (2(0.5)-1) = sqrt (0) = 0
(0.5,0)
Hence we have two coordinates , now we also see that , after comparing it from standard form of an square root function,
the square root function is upper half of parabola opening towards right and the point of origin is (0.5,0)
Let us find the solution , for that we need to put y=-3x+7 in y=sqrt (2x-1)
and we get
-3x+7=sqrt (2x-1)
squaring on both sides we get
9x^2+49-42x=2x-1
9x^2-44x+50=0
solving it with quadratic formula
x=[-b+sqrt(b^2-4ac)]/2a
we get x = 1.8 and replacing it in first equation we get y = 1.61
Hence the solution will be (1.8,1.61)
What would make finding the answer a bit easier, is converting them into improper fractions. You would turn that first fraction to 
and the second fraction to 
. (You are dividing a negative by a negative, therefore, your answer would be a positive.
Let's follow the procedure of keeping, switching, and flipping. You keep the first improper fraction, switch the division sign to a multiplication sign, and flip the second fraction. That would make it : ×
.
You multiply the 9 and the 2, you get 18. You multiply the 3 and the 4, you get 12. That makes it
. This, converted to a mixed fraction, makes 1
., which is the same as 1
. Your answer is the SECOND CHOICE.
Let's follow the procedure of keeping, switching, and flipping. You keep the first improper fraction, switch the division sign to a multiplication sign, and flip the second fraction. That would make it :
You multiply the 9 and the 2, you get 18. You multiply the 3 and the 4, you get 12. That makes it