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mote1985 [20]
3 years ago
8

If y = 7x − 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

Given equation is y =7x - 5.

Let's plug in the values of x's to get their corresponding values of y's.

Let's plug in x = -5. So,

y = 7( -5) - 5 = -35 - 5 = -40

So, the first order pair is (-5, -40)

Hence, the first choice is not correct.

For x = 2, y = 7 (2) - 5 = 14 - 5 = 9.

Second order pair is (2, 9). So, second choice is also not correct.

Now for x = 0, y = 7(0) - 5 = - 5.

So, the third order pair is (0, -5).

Let's plug in x = -3 to check the third order pair list as we have already got two order pair (0, -5) and (2, 9) from that list.

For x = -3, y = 7(-3) - 5 = - 21 - 5 = -26.

Hence the correct choice is {(0, −5), (2, 9), (−3, −26)}.

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La funcion que representa el beneficio obtenido por una empresa si vende x unidades de uno de sus productos es f(x)= -70x^2+2800
DerKrebs [107]

Answer:

20

Step-by-step explanation:

La función es

f(x)=-70x^2+2800x-45000

Diferenciando con respecto a x obtenemos

f'(x)=-140x+2800

Igualar con cero

0=-140x+2800\\\Rightarrow x=\dfrac{2800}{140}\\\Rightarrow x=20

Doble derivada de la función

f''(x)=-140

Entonces, la función es máxima cuando el número de unidades vendidas,  x=20,

3 0
3 years ago
Rotation 180 counterclockwise around the origin of the point (-3,-7)
yaroslaw [1]

Answer: (3 , 7)

Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.

8 0
3 years ago
Vic is standing on the ground at a point directly south of the base of the CN Tower and can see the top when looking at an angle
Sindrei [870]

The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.

<h3>How can the distance between Vic and Dan be calculated?</h3>

Location of Vic relative to the tower = South

Vic's sight angle of elevation to the top of the tower = 61°

Dan's location with respect to the tower = West

Dan's angle of elevation in order to see the top of the tower = 72°

Height of the tower = 553.3m

tan( \theta) =  \frac{opposite}{adjacent}

tan( 61 ^{ \circ}) =  \frac{553.3}{ Vic' s\: distance \: to \: tower}

distance  =  \frac{553.3}{tan ( {61}^{ \circ} )}  = 306.7

  • Vic's distance from the tower ≈ 306.7 m

Similarly, we have;

Dan's distance  =  \frac{553.3}{tan ( {72}^{ \circ} )}  = 179.8

  • Dan's distance from the tower ≈ 179.8 m

Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;

  • d = √(306.7² + 179.8²) ≈ 356

Therefore;

  • Vic is approximately 356 meters from Dan

Learn more about Pythagorean theorem here:

brainly.com/question/343682

#SPJ1

4 0
2 years ago
In 1992, the average electric bill for a single
Aleksandr [31]

Answer:

Price went up, $24.64/year for 28 years

Step-by-step explanation:

Change Year = 28

Change Price = 690

Average rate = 690/28 = 24.64

6 0
3 years ago
12x+40=15x+25 solve for x
fiasKO [112]

Answer:

5 = x

Step-by-step explanation:

12x+40=15x+25

Subtract 12x from each side

12x-12x+40=15x-12x+25

40 = 3x +25

Subtract 25 from each side

40-25 = 3x+25-25

15 =3x

Divide by 3

15/3 =3x/3

5 = x

6 0
3 years ago
Read 2 more answers
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