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Elena L [17]
3 years ago
13

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

Mathematics
1 answer:
klasskru [66]3 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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What is the vertex of (x) = –16x² + 64x + 80.
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Answer:

<h3>            (2, 124)</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k      - the  vertex form of the equation of the parabola with vertex (h, k)

f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}

<u>The vertex is </u><u>(2, 124)</u>

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3 years ago
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mihalych1998 [28]
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Estimate 36.76 divided by 2.9 using compatible numbers - will give brainliest for correct answer
vekshin1

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12.68 if you are rounding to the hundreths place

Step-by-step explanation:

8 0
2 years ago
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77julia77 [94]
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3 years ago
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insens350 [35]

Answer:

y-int: (0, 13)

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Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> = slope

<em>b</em> = y-intercept

Step 1: Define variables

<em>m</em> = -2

Random point (5, 3)

Step 2: Plug in known variables

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Step 3: Find y-intercept <em>b</em>

3 = -2(5) + b

3 = -10 + b

b = 13

Step 4: Rewrite equation

y = -2x + 13

3 0
3 years ago
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