Answer:
(13 + or - (sign) square root(37)) / 6
Step-by-step explanation:
First search up the quadratic formula which is
x = (- b + or - square root(b^2 - 4ac)) / 2a
and to find a, b, and c you need this formula
ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)
Math:
a = 3, b = -13, c = 11
b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.
Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.
(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3
13 + or - square root(37) / 6
Answer:
1.14 s
Step-by-step explanation:
Time, 
Here, d is the distance and s is the speed/velocity
Since we're given the velocity, s as 28 ft/s and the distance between the position of the rocket and ground as 32 ft then
Therefore, it needs 1.14 seconds
Answer:
0.5 quarts of orange juice per quart of punch
Step-by-step explanation:
1.5/3=0.5
Answer:
49
Step-by-step explanation:
-11 2/3 x (-4 1/5) =
negative times negative = positive
Change the mixed numerals into fractions.
= 35/3 × 21/5
Multiply the numerators together. Multiply the denominators together.
= (35 × 21)/(3 × 5)
Simplify.
= (7 × 5 × 7 × 3)/(3 × 5)
Divide the numerator and denominator by 3 and by 5.
= 7 × 7
= 49
(1) The train travels 4 miles per gallon.
(2) The slope of the graph is 
Explanation:
(1) The miles that train travels per gallon is given by
Dividing, we have,
Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are 
and 
Thus, substituting the coordinates in the slope formula, we get,
Simplifying, we have,
Thus, the slope of the graph is
