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2 years ago

5

HELP NEEDED ASAPOrder the numbers from least to greatest

1 answer:

Temka [501]2 years ago

7 0

Answer:

-31/6, -/26, -5, -5/6

first choice is the answer

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HELP!!! URGENT!!! I WILL GIVE BRAINLEIST THING

lisov135 [29]

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = $\frac{1}{3}x^{2}-2x+8$

Here x = rider's horizontal distance from the start of the ride

i). $y=\frac{1}{3}x^{2}-2x+8$

$=\frac{1}{3}(x^{2}-6x+24)$

$=\frac{1}{3}[x^{2}-2(3x)+9-9+24]$

$=\frac{1}{3}[(x^{2}-2(3x)+9)+15]$

$=\frac{1}{3}[(x-3)^2+15]$

$=\frac{1}{3}(x-3)^2+5$

ii). Since, the parabolic graph for the given equation opens upwards,

Vertex of the parabola will be the lowest point of the rider on the roller coaster.

From the equation,

Vertex → (3, 5)

Therefore, minimum height of the rider will be the y-coordinate of the vertex.

Minimum height of the rider = 5 m

iii). If h = 8 m,

$8=\frac{1}{3}(x-3)^2+5$

$3=\frac{1}{3}(x-3)^2$

(x - 3)² = 9

x = 3 ± 3

x = 0, 6 m

Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

6 0

3 years ago

A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee

Naddika [18.5K]

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle ( $A$ ), measured in square feet, is determined by the following equations:

$A = w\cdot l$ (1)

Where:

$w$ - Width, measured in feet.

$l$ - Length, measured in feet.

If we know that $w = x$ , $l = 2\cdot x$ and $A = 160\,ft^{2}$ , then we get the following second order polynomial:

$2\cdot x^{2}-160 = 0$ (1)

And we solve the expression for $x$ :

$2\cdot x^{2} = 160$

$x^{2} = 80$

$x = \sqrt{80}\,ft$

$x \approx 8.944\,ft$

Then, the dimensions of the pool are, respectively:

$w \approx 8.944\,ft$ and $l \approx 17.888\,ft$

5 0

3 years ago

|x| + 4 > 7 plz help and hurry

Talja [164]

Answer:

The solution is $(-\infty,-3)\cup(3,\infty)$ .

Step-by-step explanation:

Given:

The inequality given is:

$|x|+4>7$

In order to simplify for 'x', we first isolate 'x' on one side.

Adding -4 on both sides, we get:

$|x|+4-4>7-4\\\\|x|>3$

Now, $|x|$ is an absolute value function which is defined as:

$|x|=\left \{ {{-x}\ \ x$

Therefore, the given inequality can be rewritten as:

$-x > 3\\x$ and $x > 3$

Therefore, the solution is $(-\infty,-3)\cup(3,\infty)$ .

4 0

3 years ago

A farmer has a feed trough in the shape of rectangular prism with a height of 40 cm and a base that is 30 cm wide by 200 cm long

inysia [295]

Answer:

Step-by-step explanation:

You're welcome :)

5 0

3 years ago

. If n(A)=2 n(B)=3 n(AՈB) =24, what is the value of n(AUB)?

____ [38]

Step-by-step explanation:

The answer is is the picture..

8 0

3 years ago