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.
The volume is 800pi cubic feet
Answer:
What subject is this?. May you please take apicture clear so i can see perfectly
thank you by Tracy Stewart
Step-by-step explanation:
Answer:
y = 4
Step-by-step explanation:
y = (1/2)x + 1
when x = 6
y = (1/2)(6) + 1
y = 3 + 1
y = 4
If we use 22/7 as pi we can say...
22/7 / 90 =
22/7 x 1/90 =
22/630 = 11/315 (in fraction form)
11/315 is the same as saying 11 divided by 315 which would work out to
about .035 rounded to the nearest thousandth