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Elena L [17]
2 years ago
13

Find the first three terms of the sequence below. Tn=n2+2n+9​

Mathematics
1 answer:
klasskru [66]2 years ago
8 0

\\ \bull\tt\longrightarrow T_n=n^2+2n+9

\\ \bull\tt\longrightarrow T_1=1^2+2(1)+9=1+2+9=12

\\ \bull\tt\longrightarrow T_2=2^2+2(2)+9=4+4+9=17

\\ \bull\tt\longrightarrow T_3=3^2+2(3)+9=9+6+9=24

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Choose correct graph with following function
Vlad1618 [11]

Answer:

The answer to your question is The second graph

Step-by-step explanation:

The general equation for a trigonometric is

                        Acos(Bx + C) + D

A indicates the amplitude if the value is 1, the lowest point is -1 and the highest point is 1.  So we discard the first graph.

B indicates the period. A normal graph has a period of 2π, but this equation has a period of 3/2. This means that the period is smaller.

C indicates that the graph is moved to the left or right but in this problem C = 0, so it does not change.

D indicates if the graph is moved up or down, in this problem, D = 0 so it does not change.

4 0
3 years ago
2w + y = 6<br> a. Find y if w = -4<br> b. Find y if w = 10
krok68 [10]
A. Y would be 14 since 2w would equal -8, and -8+14=6.
B. Y would be -14 because 2w would equal 20 and 20+(-14)=6
4 0
2 years ago
Read 2 more answers
the denominator of a fraction is 3 less than the numerator. If 5 is added to the numerator and denominator, the result is 5/6. F
Vitek1552 [10]
X=numerator
y=denominator
the sum of numerator and denominator=x+y
we suggest this system of equations:

y=x-3
(x+5) / (y+5)=5/6

we solve this system of equation by substitution method.
(x+5) / (x-3+5)=5/6
(x+5) / (x+2)=5/6
6(x+5)=5(x+2)
6x+30=5x+10
6x-5x=10-30
x=-20

y=x-3=-20-3=-23

Teh sum of the numerator an denominator=-20+(-23)=-43

Answer:    -43



7 0
3 years ago
What is the value of the rational expression below when x is equal to 4? 12+x/4+x
11Alexandr11 [23.1K]
This is easy what you should do is plug in 4 for the x's in the rational expression and what it should look like when finished is: 12+4/4+4.
To remember the steps in which and equation should be solved is:
P=Parentheses
E=Exponents
M=Multiply
D=Division
A=Add
S=Subtract

So the answer to the equation is: 17
Hoped this helped you into solving more equations like this one. :)

6 0
3 years ago
Read 2 more answers
Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = –3, x = 1 and x = 2. There are horizontal tang
guapka [62]

the derivitive is just the slope

minimum happens when the derivitive goes from negative to positive, imagine a slope of the function, the minimum is where the slope goes from neative to positive, and to get there, it has to pass through 0

max happens when the derivitive goes from positive to negative

increaseing is when the derivitive is positive



so, based on what you said, the slope of f(x) is 0 at x=-3, x=1 and x=2 since those are where the derivitive is 0 (derivitive is just the slope)

A and B are wrong because the derivitive isn't 0 at those points

C is correct because increasing means that the derivitive is positive, and so therefo since the only hoirontal place in between 1 and 2 is 1.5, it must remain positive throughout and not dip down, C is right

D is wrong then




answer is C
5 0
3 years ago
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