The y-intercept can be calculated by replacing x by 0. Using x equal to zero in given equation we get answer equal to 2. Thus the y-intercept is (0,2).
Since the base of exponential function is greater than 1, the function is increasing.
The range of exponential function is set of All real numbers greater than 0.
Since no value of x makes the expression undefined, the domain of the function is set of All Real numbers.
So the correct options are: A, C, F
To evaluate the series we proceed as follows:
2. -5,-15,-25,-35,-45
The common difference is (-15--5)=-10
thus the series is an arithmetic sequence hence the explicit formula will be:
an=a+(n-1)d
thus the formula for the series is:
an=-5+(n-1)(-10)
an=-10n+5
4. 0.5, 0.25,0,...,-0.75
The common difference =0.25-0.5=-0.25
The sequence is an arithmetic sequence:
the explicit formula will be:
an=0.5-0.25(n-1)
an=-0.25n+0.75
thus
n=4
a4=-0.25*4+0.75=-0.25
when n=5
a5=-0.25*5+0.75=-0.5
when n=6
a6=-0.25*6+0.75=-0.75
the missing values are -0.25 and -0.5
6] 4.5,5.6,6.7, ....,11.1
common difference=5.6-4.5=1.1
the sequence is an arithmetic sequence
The explicit formula is:
an=4.5+1.1(n-1)
an=1.1n+3.4
when n=4
an=1.1*4+3.4
a4=7.8
when n=5
a5=1.1*5+3.4
a5=8.9
a6=1.1*6+3.4
a6=10
the missing values are: 7.8, 8.9, 10
Conversion: 1 mile = 1,760 yards
Multiply.
2.5 * 1760 = 4,400
Therefore, there are 4,400 yards in 2.5 miles.
Best of Luck!
Answer:
21
Step-by-step explanation:
h(y)=3y^2-2y+5
Let y = -2
h(y)=3(-2)^2-2(-2)+5
= 3(4) +4 +5
= 12 +4 +5
=21
