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Tems11 [23]
3 years ago
11

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

Mathematics
2 answers:
kaheart [24]3 years ago
8 0

Answer:

\large\boxed{x\in[-5,\ \infty)}

Step-by-step explanation:

f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.

klio [65]3 years ago
6 0

Answer:

B.(-5,∞)

Step-by-step explanation:

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Alchen [17]
That's far more problems than I usually accept in a single question, but since you're new and obviously a beginner, I'll try to help. 

<span>To Increase an amount by 7% what single multiplier would you use </span>
<span>We want 7% more than 100% of the amount, so the multiplier is </span>
<span>(100% + 7%) = 107% = 1.07 </span>
<span>[Remember that "percent" means "per hundred," so we divide a percentage by 100 to get the numerical equivalent.] </span>

<span>To Decrease an amount by 7% what single multiplier would you use </span>
<span>We want 7% less than 100% this time, so the multiplier is </span>
<span>(100% - 7%) = 93% = 0.93 </span>

<span>5 ÷ 0.1 </span>
<span>= 50 </span>

<span>(To One Decimal Place) (0.3 x 2.8)Squared </span>
<span>[Notation: around here we usually write "squared" as ^2, where the ^ is an exponentiation sign.] </span>
<span>(0.3 x 2.8)^2 = 0.84^2 = 0.7056 </span>
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<span>6.38 + 4.52 ÷ 4.71 +9.53 </span>
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<span>Expand and Simplify </span>
<span>(x + 2)(x + 3) </span>
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<span>Expand and Simplify </span>
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5 0
3 years ago
The number of counties in state a and the number of counties in state b are consecutive even integers whose sum is 9090. if stat
Oliga [24]
Let x = state b , then x + 2 = state a

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that means x + 2 = 4546

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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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(4+6)/(2•1) simplified
iris [78.8K]

Answer:

5

Step-by-step explanation:

trust

7 0
2 years ago
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