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3 years ago

Determine whether the relation is a function. (2, -3). (3, 2). (4, 7), (3, 14, (6, 23)

Mathematics

1 answer:

Vika [28.1K]3 years ago

5 0

Answer:

A: Yes

Step-by-step explanation:

Each input has exactly one output! So each x value has exactly one y output. hope this helps!

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oel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, how many mil

kvasek [131]

Answer:

36 miles

Step-by-step explanation:

(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)

The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5. $3^{2} + 4^{2} = 5^{2}$

9 is 3x3, 12 is 3x4 so the remaining side would be 3x5 15

Add those 3 sides to get the total distance, 36 miles.

6 0

3 years ago

2 numbers whose product is 40 and sum is -13

lina2011 [118]

Answer:

1. -5 and -8

2. -7 and -4

3. -15 and -1

4. 7 and -2

5. -5 and 1

6. 2 and -5

7. -8 and 9

8. 5 and -4

Step-by-step explanation:

7 0

2 years ago

The quotient of two negative integersis

N76 [4]

A positive one because the nagatives cancel out

6 0

4 years ago

Read 2 more answers

Solve this Inequality 1 > -1 - w

Rom4ik [11]

Answer:

$\displaystyle -2 < w$

Step-by-step explanation:

1 > −1 - w

+ 1 + 1

________

$\displaystyle \frac{2}{-1} > \frac{-w}{-1} \\ \\ -2 < w$

Whenever you divide\multiply by a <em>negative</em>, you reverse the inequality symbol.

I am joyous to assist you anytime.

8 0

3 years ago

Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

4 years ago