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iren2701 [21]
4 years ago
11

I need help with #18 c-i

Mathematics
1 answer:
Lostsunrise [7]4 years ago
3 0
C - one is -4 due to that when y=0 the x coordinate shows -4, the other is when 4-x^2=0, and the square root of 4 is 2

d - x intercepts

e - it's 4 due to that 4 is shown where x=0 on the graph

f - y intercept

g - Since x>0, we do 4-x^2. x=1, and 1^2=1, so 4-1=3. 1 is x and 3 is f(x), or y, so the coordinates are (1,3)

h - Since it's <0, -1+4=3, and since 3 is the output the coordinates are (-1,3)

i - Since -3 <0, we do -3+4=1
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Read 2 more answers
Given the recursive formula for an arithmetic sequence find the common difference and the 52nd term
Mice21 [21]

Answer:

              Common difference(d)                  a_{52}

(21)                   -10                                          -548

(22)                   -7                                          -323

(23)                    10                                           547

(24)                   -100                                       -5118

Step-by-step explanation:

Let the common difference be denoted by 'd'.

Also the nth difference of an arithmetic sequence is given by: a_{n}=a_{1}+(n-1)\times d

(21)

We are given a recursive formula as:

a_{n}=a_{n-1}-10

The first term is given by:

a_{1}=-38

The common difference for an arithmetic sequence is given by:

a_{n}-a_{n-1}

Hence, here we have the common difference as:

d=-10

The nth term of an arithmetic sequence is given by:

a_{n}=a_{1}+(n-1)\times d

Here a_{1}=-38 and d=-10.

Hence, a_{52}=-38+(52-1)\times (-10)

Hence, a_{52}=-548

(22)

a_{n}=a_{n-1}-7

a_{1}=34

The common difference for an arithmetic sequence is given by:

a_{n}-a_{n-1}

Hence, here we have the common difference as:

d=-7

Here a_{1}=34 and d=-7.

Hence, a_{52}=34+(52-1)\times (-7)

Hence, a_{52}=-323

(23)

a_{n}=a_{n-1}+10

a_{1}=37

The common difference for an arithmetic sequence is given by:

a_{n}-a_{n-1}

Hence, here we have the common difference as:

d=10

Here a_{1}=37 and d=10.

Hence, a_{52}=37+(52-1)\times (10)

Hence, a_{52}=547

(24)

a_{n}=a_{n-1}-100

a_{1}=-18

The common difference for an arithmetic sequence is given by:

a_{n}-a_{n-1}

Hence, here we have the common difference as:

d=-100

Here a_{1}=-18 and d=-100.

Hence, a_{52}=-18+(52-1)\times (-100)

Hence, a_{52}=-5118


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4 years ago
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