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icang [17]
3 years ago
6

Use the function f(x) = −16x2 + 60x + 16 to answer the questions.

Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

George Washington lol !

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Which one of these shapes will tessellate? <br> Please leave the letter below
Katyanochek1 [597]

Answer:

Option D

Step-by-step explanation:

Out of all given options, Option D (the parallelogram) will tessellate the easiest.

Option B's shape (the Trapezoid) is also possible. However, it would take a little more work for it to tessellate. The trapezoid provided would not tessellate alone.

Option A and Option C's shape wouldn't tessellate because it would leave a gap.  To add, Option C's shape is nearly impossible to tessellate.

4 0
3 years ago
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

5 0
3 years ago
Which of the following is the correct value for x
USPshnik [31]
(1) 5 is the answer
7 0
3 years ago
Cada par de numeros esta a razon de 2:3
german

(0,8)+(7,-52) eso es la problema

4 0
3 years ago
A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of
Bumek [7]

Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

7 0
3 years ago
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