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3 years ago

7

create a table of values for y = 1/x using x = -3, -2. -1, -0.5, -0.25, 0.5, 1, 2 and 3. Sketch the graph of function. what happ

ens when x = 0

1 answer:

Juliette [100K]3 years ago

8 0

When x is zero there will never be an interception of the line as x=0 is an asymtope

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A travel company is selling two different suitcases, each in the shape of a rectangular prism. Which statement is true?

9966 [12]

Answer:

Suitcase 2 is the better deal because it is less expensive than Suitcase 1 by approximately $0.01 per cubic inch ⇒ C

Step-by-step explanation:

Let us find the volume of each suitcase and find the price per cubic inch to chose the better deal

The formula of the volume of a rectangular prism is V = L × W × H, where

L is the length of it
W is the width of it
H is the height of it

Suitcase 1:

∵ Its length is 14 inches

∵ Its width is 9 inches

∵ Its height is 22 inches

- Substitute them in the formula of the volume above

∵ V = 14 × 9 × 22

∴ V = 2772 inches³

∵ The cost of it is $139.99

- Divide the cost by the volume to find the cost per cubic inch

∵ The cost per cubic inch = 139.99 ÷ 2772

∴ The cost per cubic inch ≅ 0.05

∴ The cost per cubic inch is approximately $0.05

Suitcase 2:

∵ Its length is 18 inches

∵ Its width is 10 inches

∵ Its height is 22 inches

- Substitute them in the formula of the volume above

∵ V = 18 × 10 × 22

∴ V = 3960 inches³

∵ The cost of it is $158.99

- Divide the cost by the volume to find the cost per cubic inch

∵ The cost per cubic inch = 158.99 ÷ 3960

∴ The cost per cubic inch ≅ 0.04

∴ The cost per cubic inch is approximately $0.04

∵ 0.04 is less than 0.05

∵ 0.05 - 0.04 = 0.01

∴ Suitcase 2 is less expensive than suitcase 1 by $0.01

∴ Suitcase 2 is the better deal

Suitcase 2 is the better deal because it is less expensive than Suitcase 1 by approximately $0.01 per cubic inch

6 0

3 years ago

Please Please tell me if I did this right or not, if you know how to do it. Please tell me the correct answers if they are wrong

Mazyrski [523]

Answer:

They seem good to me but I think you should switch up the numbers ion know I gotta see

5 0

3 years ago

Read 2 more answers

A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

What is the linear equation for slope= 5 (4,7)

Burka [1]

Answer:

23.5

Step-by-step explanation:

8 0

3 years ago

Write a linear equation that passes through the point (2,-9) and has a slope of -5

Doss [256]

Answer:

y=-5x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-9)=-5(x-2)

y+9=-5x+10

y=-5x+10-9

y=-5x+1

3 0

3 years ago