Answer:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (1.5,-6.25)
we know that
The function is decreasing in the interval ----> (-∞,1.5) x < 1.5
That means----> the function is decreasing for all real values of x less than 1.5
The function is increasing in the interval ----> (1.5,∞) x> 1.5
That means----> the function is increasing for all real values of x greater than 1.5
see the attached figure to better understand the problem
therefore
The statement that is true is
The function is decreasing for all real values of x where x < 1.5.
Answer:
2/15
Step-by-step explanation:
Step one:
given data
sample space
1 elephant,
4 bears,
3 cats, and
2 dogs.
sample size= 1+4+3+2= 10
Required:
By selecting without replacement, the probability that she chooses a bear both times
Step two:
the first event= Pr(bear)= 4/10= 2/5
the second event, the sample size is now 9 and the number of bears is now 3
Pr(bear)= 3/9= 1/3
Hence, the probability that she chooses a bear both times
= 2/5*1/3
=2/15
Let number of plastic containers collected by fourth grade= x
Then number of plastic containers collected by fifth grade students=x-216
OR
If number of plastic container collected by fifth grade is y
then number of plastic container collected by fourth grade=y+216
So, we can write it as follows
⇒ number of plastic containers collected by fourth grade= number of plastic containers collected by fifth grade +216
What terms govern the length of this side?The basic rule of the triangle.First side length must be less than the sum of the other two sides.So to find X we must take the largest side of the triangles and compare them with amounts from other sides.
5+x>12
8+x>20 and it's system
x>7
x>12
general solution is x>12
<span>The least possible integral is 13.
PS: It's may be </span>yet 12, but in this case, triangle BCD become segment.
Answer: time to reach maximum height = 605
Step-by-step explanation:
The expression that relates height with time is
M(d)=-0.123x^2+148.83x-21.07
Where time = x
d = height
The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.
To find x,
x = -b/2a
Where a= 0.123
b = 148.83
x = - 148.83 / -2 × -0.123
x = -148.83 / -0.246
= 605
Substituting x = 605 in the equation,
M(d)=-0.123x^2+148.83x-21.07
d = -0.123 × 605^2 + 148.83×605
= - 45021.075+ 90042.15
= 45020.4
Approximately 45000 feet
