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vichka [17]
3 years ago
8

A parabola has a line of symmetry x = -5. The minimum value of the quadratic function that it represents is -7. Find a possible

equation of this parabola and explain how you found it
Mathematics
1 answer:
Ilya [14]3 years ago
6 0

 

hello :<span>
<span>the parabola's equation is : f(x) = a(x-h)²+k
the verex is (h,k)
</span></span><span>line of symmetry x = h
</span><span>The minimum  or maximum value is : k 
</span>a possible equation of this parabola is :   f(x) = a(x+5)²-7
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Papessa [141]
It’s a function because the number doesn’t repeat
4 0
3 years ago
Given that P = (-5, 5) and Q = (-13, 10), find the component form and magnitude of 2 vector PQ.
Brut [27]
Define unit vectors along the x-axis and the y-axis as \hat{i} , \, \hat{j} respectively.

Then the vector from P to Q is
\vec{PQ} = (-13+5)\hat{i} + (10-5)\hat{j} = -8\hat{i} + 5\hat{j}
In component form, the vector PQ is (-8,5).

The magnitude of vector PQ is
√[(-8)² + 5²] = √(89) = 9.434

Answer:
The vector PQ is (-8, 5) and its magnitude is √89  (or 9.434).
4 0
4 years ago
Read 2 more answers
Please help me on this question.
saw5 [17]

Answer:

answer is option D (56)

Step-by-step explanation:

7×8 = 56

6 0
3 years ago
Read 2 more answers
Q # 20 please help to solve
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If submarine is at the surface (the initial position) and then dives 375 ft, the coordinate  of submarine becomes -375 ft <span>relatively to the initial position. When the submarine dives another 175 ft down, the coordinate of submarine becomes -375-175=-550 ft relatively to the initial position.
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8 0
3 years ago
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

6 0
3 years ago
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