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Dennis_Churaev [7]

2 years ago

7

Select the correct answer. If and , what is the domain of f(x) ÷ g(x)? A. all values of x B. (, -1), (-1, 2), and (2, ) C. (, 2)

and (2, ) D. (, -1] and [2, )

2 answers:

Hunter-Best [27]2 years ago

5 0

Answer:

b

Step-by-step explanation:

vekshin12 years ago

5 0

Answer:

(-∞, -1) (-1, 2) (2, ∞)

Step-by-step explanation:

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An ant can crawl 3/4 of a yard in 1/2 minute. How long will it take for the ant to crawl 12 yards?

Elan Coil [88]

Answer:

6 mins

Step-by-step explanation:

An ant can crawl 3/4 of a yard in 1/2 minute. How long will it take for the ant to crawl 12 yards?

Ant crawls 3/4 of a yard in = 1/2 min = 60/2 sec = 30 sec

Ant crawls 12 yards in = 12 * 30 = 360 sec = 360/60 = 6 minutes

5 0

3 years ago

Read 2 more answers

Find the exact value of sin <img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B22%20pi%20%2F3%7D%20%20%20" id="TexFormula1" title

Nady [450]

Since $\dfrac{22\pi}3\equiv\dfrac{4\pi}3\mod2\pi$ , you have

$\sin\dfrac{22\pi}3=\sin\dfrac{4\pi}3=-\dfrac{\sqrt3}2$

6 0

3 years ago

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

<em>The actual dimension is 18.28 by 3.28</em>

3 0

2 years ago

115) Working alone, it takes Sebastian nine hours to

Elden [556K]

It will take them 20 hours, since the question is asking how long it will take them when working together you add each of their hours together,9+11=20

6 0

2 years ago

lydia created a rectangle shape design that is 12 inches wide and 15 inches long she plans to make an enlargement of the design

Romashka [77]

Answer: 1200 inches long.

Step-by-step explanation:

the enlargement went from 1 inches wide to 80 inches wide.So which means it was being multiply by 80.

so you have to multiply 15 by 80 to find length of the enlargement or how long the enlargement of the design will be.

15 * 80=1200

6 0

3 years ago