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:
13.7
Step-by-step explanation:
It forms a triangle.
They are trying to find the height, cause they say the east-bound car went east so that makes the bottom of the triangle, the width. They also give is the distance in between both cars so that's the hypotenuse so let's set up the equation...
15² - 6² = 189
now we square root it
√189 = 13.7
I mean, I don't know how to explain a generic way to solve this. Ask me about the specific train of thought if you are interested:
7 * 18 + 45 / 3 - 2 = 139
Answer:
<h3>
X = 2 , X = -3</h3>
Option C is the correct option.
Step-by-step explanation:
Discriminant = 
Given d = 15
When discriminant D > 0 --> roots are real and distinct. ( unequal )
So , 
option has real and distinct roots.
Hope this helps..
Best regards!!
Answer:
check the attached picture
Step-by-step explanation:
Given function is 
.
Now we need to make a table of values for the function rule then graph the function.
We are free to plug any values of x like -3,-2,-1,0,1,2,3,... etc becaues domain of polynomial function is all real numbers.
Let's plug x=1 into given function to find the y-value
Hence the first point is (1,3).
Same way we can find few more points to complete the table then graph those points and connect them to get the final graph.
x y
-2 8
-1 5
0 4
1 5
2 8
