Answer:
x = 16.5
Step-by-step explanation:
the original equation is: 4(x - 3) = 54
first divide both sides by 4: x - 3 = 13.5
finally add both sides by 3: x = 16.5
Every square is a rectangle because it is a quadrilateral with all four right angle (a rectangle is not a square)
Answer:
5/8
Step-by-step explanation:
The volume after 30 minutes is:
(4.5 gal/min) (30 min) + 115 gal = 250 gal
The fraction of total capacity is:
250 gal / 400 gal = 5/8
Expanded, the function is ...
... p(x) = x² -x +1
Compared to
... ax² +bx +1
- The value of a is 1
- The vaule of b is -1
- The value of c is 1
- The value of the discriminant is b²-4ac = 1²-4·1·1 = -3
- The quadratic function will intersect the x-axis 0 times.
_____
The negative discriminant means there are no real roots, hence no x-intercepts.
The answer is x = 10, and it could alternatively be x = -10 depending on what topic this is and if negatives apply.
x^2 - 1 = 99
Add 1 to both sides.
x^2 = 100
Square root both sides
x = 10
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