Answer:
2 solutions
Step-by-step explanation:
I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...
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To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:
3x(x -4) +5 -x -(2x -7) = 0
3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses
3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms
3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor
The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.
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<em>Alternate method</em>
Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...
d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c
d = (-15)^2 -4(3)(12) = 225 -144 = 81
This positive value means the equation has 2 real solutions.
Answer:
The line passes through (4, -7) and (5, -10).
Step-by-step explanation:
When x = 4, y = 5 - 3(4), or 5 - 12, or -7. Thus the point (4, -7) lies on the graph. Similarly y = 5 - 3(5) = -10 when x = 5. Thus, the line also goes through (5, -10). Plot these two points and draw a line through them. Doing this will result in the desired graph.
Answer:
b. 896
Step-by-step explanation:
just put the numbers on the choice to know the right answer. here when you put 896 in <u> </u>*27/14/72=24 you will get the right answer which is 24. so the answer is 896.
Answer:
Step-by-step explanation:
(9√5) (5√10)
The leading interger product is found by multiplying 9 and 5
The leading integer product is 9*5 = 45
The radical product is (√5*10
Factor 10
radical product = √5*2*5
There are 2 fives underneath the radical. Take one out and ignore the other
radical product = 5√2
The 5 now multiplies by 45 and √2 becomes part of the answer
5*45√2
225√2
Answer:
1,3
Step-by-step explanation:
1,3 is were they intersect, go sideways 1, and up 3
hope that this helps you and have a great day :)
