Answer:
3/-2
Step-by-step explanation:
The negative sign applies for the whole fraction
Part A:
10p + 12v > 3200
p > 12000
v < 15000
(imagine they have the line underneath the symbols)
Part B:
at least 14,000 cups of plain yogurt
(make sure to convert the dollars to cents so that it is accurate)
math:
10p + 12(15000) > 320000
10p > 140000
p > 14000
The height of the ball at ground level would be 0 feet.
Set h to 0 and solve for t:
Rewrite the equation as
-5t^2 -2t +49 = 0
Factor -1 out of the equation to get:
5t^2 + 2t -49 = 0
Use the quadratic formula:
-b +/- sqrt(b^2 -4(ac) / 2a
Where a = 5, b = 2 and c = -49
The quadratic formula becomes:
-2 +/-sqrt(2^2 – 4(5*-49) / (2*5)
Simplify to get :
T = -2 +/-sqrt246 / 10
T = 2.936 and – 3.336
Since the time has to be a positive value t = 2.936 seconds.
Rounded to the nearest hundredth = 2.94 seconds.
Answer:
(b) distance, y=20x, 480 mi
Step-by-step explanation:
As is often the case, the only self-consistent answer choice is the correct one.
__
The dependent variable is plotted on the y-axis, so is distance.
(x, y) = (2, 40) tells you y = 20x is an appropriate choice of equation.
In 24 hours, the dragonfly will fly y = 20(24) = 480 miles.
Answer:
=
7
Step-by-step explanation:
3(x−4)+9=18
3
−
1
2
+
9
=
1
8
3
−
3
=
1
8
3
=
1
8+3
3
=
21
x= 21/3
x=7
