Answer:
Option D is correct.
Step-by-step explanation:
An exponential function is in the form of
where a is the initial value and b≠ 0 , b >1 .
Given: The function f(x) = y =
......[1]
The domain is all real numbers and the range is y > 0.
y-intercept defined as the graph crosses the y-axis.
Substitute the value of x= 0 in [1] to solve for y;
y =
= 4
y-intercept = (0, 4)
End behavior:
when b =3 >1
then;
as
,
as
,
therefore, the only graph which represents the function y =
is Option D
Answer:
x = 10
m angle 2 = 77
m angle 4 = 77
m angle 5 = 103
Step-by-step explanation:
you can equate angle 2 to angle 4, solve for x. then plug in the x value. a angle 2 and 4 will both be 77. angle 5 will be 180-77since angle 2 and 6 are congruent, and angle 6 forms a straight line with angle 5.
Answer:
312cm2
Step-by-step explanation:
Area of the triangles:
A =1/2bh
A=1/2(10*12) = 1/2*120=60.
There are two triangles. 60*2=120. 120 is the area of both triangles.
Area of the rectangle:
16*12=192.
120+192=312cm2
Answer:
A. 35
Step-by-step explanation:
Each week has 7 days, and we have 5 weeks.
Week 1 has 7 days.
Week 2 has 7 days.
Week 3 has 7 days.
Week 4 has 7 days.
Week 5 has 7 days.
We can add all these together to get the total number of days: 7 + 7 + 7 + 7 + 7 = 7 * 5 = 35.
Thus, the answer is A.
Hope this helps!
Answer:
The correct option is 4.
Step-by-step explanation:
The given function is

Where f(x) is height of the ball and x is the distance.
It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

Factorize the given function.





Put f(x)=0 to find the x intercepts.

Equate each factor equal to 0.

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.
Distance cannot be negative, therefore the reasonable domain must be positive.

Therefore the reasonable domain is
and option 4 is correct.