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adell [148]
4 years ago
11

Consider the graph of the expotential function y= 3(2)^x

Mathematics
1 answer:
victus00 [196]4 years ago
8 0

Answer:

<h2>y-intercept = 3</h2><h2>x-intercept - not exist</h2><h2>the graph is increasing</h2>

Step-by-step explanation:

The exponential function:

f(x)=b(a)^x

has y-intercept for x = 0

hasn't x-intercept

if a > 1, then is increasing

if 0 < a < 1, then is decreasing

We have

y=3(2)^x

a = 2 >1 - increasing

for x = 0:

y=3(2)^0=3(1)=3

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Which is the definition of a line segment?
Ne4ueva [31]

Answer:

The answer is d

Step-by-step explanation:

A line segment is a portion of an infinite line separated by two end points

5 0
3 years ago
The first element in an arithmetic sequence is 2. Its twenty second is 14. Find the value of n so that a(n)=6
Aleks04 [339]

Answer:

<h2>n = 8</h2>

Step-by-step explanation:

Given the nth term of an arithmetic sequence to be Tn = a+(n-1)d

a = first term of the sequence

n = number of terms

d = common difference.

Given the first element a = 2 and 22nd to be 14

T22 = a+(22-1)d = 14

a+21d = 14

Substtuting a = 2 into the equation to get d

2+21d = 14

21d = 12

d = 12/21

d = 4/7

The nth term of the sequence given a = 2 and d = 4/7 will be expressed as;

Tn = 2+(n-1)4/7

Given Tn = 6

6 = 2+(n-1)4/7

6 = 2+4/7 n - 4/7

6-2+4/7 = 4/7 n

32/7=4/7 n

32 = 4n

n = 32/4

n = 8

8 0
3 years ago
Find the volume of the triangular prism.<br> 2.5 m<br> 6 m<br> 3.1 m
ahrayia [7]

Answer:

46.5

Step-by-step explanation:

5 0
3 years ago
Soooo again in meters I'm soo sorryyy​
vovikov84 [41]

I think 710 is the answer

266+266+89+89= 710

8 0
3 years ago
Which graph represents the solution set of the system of inequalities?
lidiya [134]

y < \dfrac{2}{3}x\\\\y=\dfrac{2}{3}x\\\\for\ x=0\to y=\dfrac{2}{3}(0)=0\to(0,\ 0)\\\\for\ x=3\to y=\dfrac{2}{3}(3)=2\to(3,\ 2)\\\\y\geq-x+2\\\\y=-x+2\\\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-2+2=0\to(2,\ 0)

y < \dfrac{2}{3}x

the dotted line. shadow under the line

y\geq-x+2

solid line. shadow above the line

Answer in the attachment (graph C).

8 0
3 years ago
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