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:
When there is no width, the area is 0m²
Step-by-step explanation:
Expressing the area of a rectangle as a function of its width:
Area of a rectangle = Length * width
Since the area of rectangle is related to the width by the multiplication operatkr. We can conclude from the options given that ; if the value of width = 0 ; the the area of rectangular plot = 0
When x :
Area = Length * width
Area = Length * 0
Area = 0
Area = Length * 0
Aea = 0
-33 / 11 = ?
-33/11
Simplify
-3/1 would be the answer
Answer:
9.7
Step-by-step explanation:
First convert the numbers into whole numbers by multiplying both numbers by 100. Then divide the numbers by using long division.