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ICE Princess25 [194]
3 years ago
11

Estimates 3 2/3 \ 3 2/9

Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
Hello  
<span>3 2/3 \ 3 2/9
(32/3) × (9/32) = 9/3=3</span>
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Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry
almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

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3 years ago
Which word completely describes the rhombus?<br> A.equilateral<br> B.equiangular<br> C.regular
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Answer:

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Your class raised money by selling hot dogs and hamburgers. Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold
LenKa [72]

Answer:

Number of hot dogs sold =  56

Number of  hamburgers sold = 52

Step-by-step explanation:

Let

Number of hot dogs sold = x

Number of  hamburgers sold = y

We can make equation from given equations:

0.50x+1y=80 (Hot dogs were sold for $.50 (fifty cents), and hamburgers were sold for $1 (one dollar). The total money raised by your class was $80. )

x+y=108  (Together you sold 108 hot dogs and hamburgers.)

Now we cam solve these system of equations to find value of x and y

0.50x+y=80--eq(1)\\x+y=108--eq(2)

Subtract both equations to get value of x:

0.50x+y=80\\x\:\:\:\:\:\:\:\: + y=108\\-\:\:\:\:\:\:\:\: -\:\:\:\:\:\: -\\---------\\-0.5x=-28\\x=\frac{-28}{-0.5}\\x=56

We get value of x = 56

Now putting value of x in equation 2 to find value of y

x+y=108\\56+y=108\\y=108-56\\y=52

So, we get y = 52

Therefore,

Number of hot dogs sold = x = 56

Number of  hamburgers sold = y = 52

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Step-by-step explanation:

this is your answer..........

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