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3 years ago

Describe the graph of the function. y = 9x2 + 18x – 6

2 answers:

5 0

The graph of the function y = 9x^2 + 18x - 6 is a parabola facing up with vertex at (-1, -5), x-intercepts at (-2.29, 0) and (0.29, 0) and y-intercept at (0, -4).

Lina20 [59]3 years ago

4 0

Answer: Roots: 0.3 and -2.3

y-intercetpt (0,-6)

vertex (-1,-15)

Step-by-step explanation: it's a parabola.

As a = 9 and it is > 0, it is facing up.

To find the roots:

9x² + 18x - 6 = 0

a = 9; b = 18; c = -6

Δ = b² - 4ac = 18² - 4.9.(-6)

Δ = 324 + 216 = 540

√Δ = √540 = 23.24

x = -b <u>+</u> √Δ /2a = -18 <u>+</u> 23.24/18

x₁ = -18 + 23.24/18 = 0.3

x₂ = -18 - 23.24/18 = -2.3

So, it intercepts x (0.3;0) and (-2.3;0)

For the y-intercept → x = 0

9.0² + 18.0 - 6 = -6

So, it intercepts y on (0,-6)

For the vertex

xv = -b/2a = -18/18 = -1

yv = -Δ/4a = -540/36 = -15

So, the vertex is (-1,-15)

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if you flipped a coin 20 times, in percentage how many times do you expect the coin to land on heads, an how many times on tails

djyliett [7]

Answer:

50% head and 50% tails.

Step-by-step explanation:

A coin only has two sides to flip on and is equally probably flip heads or tails. If you flipped the coin 20 times you could expect to flip 10 heads and 10 tails.

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2 years ago

According to the National Weather Association, out of the last 100 years

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2 years ago

A truck cost $21,000.00 with an estimated salvage value of $1,000.00. It has an estimated useful life of 5 years. If the truck w

taurus [48]

Straight line depreciation applies the same amount of depreciation in each year.
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3 years ago

E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))

olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

$T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}$

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

$T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}$

Then we have

$\rm \triangledown T = \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)$

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

$\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}$

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction $\triangledown$ T. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0

1 year ago

How many fluid ounces are there in one-half a cup of coffee?

Marianna [84]

Answer:

d. 4 fl oz

Step-by-step explanation:

there are 4 fl oz in half a cup

5 0

3 years ago