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Elenna [48]
2 years ago
5

The piecewise function h(x) is shown on the graph. What is the value of h(3)?

Mathematics
1 answer:
lesya692 [45]2 years ago
5 0

Answer:

In the given graph h(x)

When x=3, h(3)=1

<u>1</u> is the right answer.

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Suppose that the cost of producing x tablets is defined by c(x)= 200 + 10x + 0.2x squared* where x represents the number if tabl
sammy [17]

we are given

C(x)=200+10x+0.2x^2

part-A:

Since, x is number of tablets

C(x) is cost of producing x tablets

so, vertical box is C(x)

so, we write in vertical box is "cost of producing x tablets"

Horizontal box is x

so, we write in horizontal box is "number of tablets"

part-B:

we have to find average on [a,b]

we can use formula

\frac{C(b)-C(a)}{b-a}

we are given point as

a: (15 , 395)

a=15 and C(15)=395

b: (20, 480)

b=20 , C(20)=480

now, we can plug values

=\frac{480-395}{20-15}

=17...........Answer

part-c:

we have to find average on [b,c]

we can use formula

\frac{C(c)-C(b)}{c-b}

we are given point as

b: (20, 480)

b=20 , C(20)=480

c:(25,575)

c=25 , C(c)=575

now, we can plug values

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A factory used 478.25 kilograms of tomatoes to make 5 batches of pasta sauce. What quantity of tomatoes did the factory put in e
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3 years ago
What’s the equation in vertex form?
pshichka [43]

Answer:

\large\boxed{y=(x+5)^2-64}

Step-by-step explanation:

\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64

8 0
3 years ago
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