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Vesna [10]
2 years ago
10

Use technology to determine PLEASE HELP I WILL MARK U BRAINLIEST. the vertex of each quadratic

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
7 0

9514 1404 393

Answer:

  • vertex: (7.5, 2.25)
  • f(x) = -(x -7.5)² +2.25

Step-by-step explanation:

My favorite "technology" for problems like this is the Desmos graphing calculator app or web service. It easily displays the vertex (and/or zeros) of the function.

Of course, vertex form is ...

  f(x) = a(x -h)² +k . . . . . . . . vertex (h, k), leading coefficient 'a'

The solution is found by reading the graph and putting the numbers in the formula. The leading coefficient is copied from the standard form equation.

  • vertex: (7.5, 2.25)
  • f(x) = -(x -7.5)² +2.25

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A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms . The ball's height h (in meters) af
Alecsey [184]

A ball is thrown from an initial height of 2 meters with an initial upward velocity of 9/ms

Balls height h= 2 +9t -5t^2

To find all values of t for which the ball's height is 3 meters

We plug in 3 for h and solve for t

h= 2 +9t -5t^2

3 = 2 +9t -5t^2

Solve for t

0= -1+ 9t -5t^2

5t^2 - 9t + 1 = 0

Solve using quadratic formula

t= \frac{-b+- \sqrt{b^2-4ac} }{2a}

t= \frac{9+- \sqrt{(-9)^2-4*5*1} }{2*5}

After simplifying this,

t= \frac{9+\sqrt{61}}{10} = 0.11898

t= \frac{9-\sqrt{61}}{10} = 1.68102

the values of t for which the ball's height is 3 meters= 0.12 sec , 1.68 sec

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3 years ago
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 104 pounds requires
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Step-by-step explanation:

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2 years ago
Given the polynomial x7y³ + 2x5y² - 3x³ - 2x4 -2, its degree is equal to:
cluponka [151]

Answer:

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Step-by-step explanation:

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Find the value of y when x equals -1.<br><br> 8x - 2y =10
Artyom0805 [142]

Answer:

y = - 9

Step-by-step explanation:

Substitute in -1 for x

8(-1) - 2y = 10

-8 - 2y = 10

Subtract -8 from both sides

-8 - (-8) cancels out to 0

10 - (-8) = 18

We are left with:

-2y = 18

Divide by -2 on both sides.

-2y/-2 = y

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2 years ago
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