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2 years ago

There is a line that includes the point (5, 6) and has a slope of 0. What is its equation in

Mathematics

1 answer:

Solnce55 [7]2 years ago

7 0

Answer:

y = 0x +6 or y = 6 if simplified

Step-by-step explanation:

y=mx+b is slope intercept formula

m is the slope which we know ( 0 ) and we know the line passes through (5,6) so all we need to figure out is b

so plug it in and solve:

6 = 0(5) +b

6 = b

so 6 is b and now we know the equation

y = 0x +6 or y = 6 if simplified

You might be interested in

Una heladeria dispone de 20 frutas distintas para elaborar sus malteadas. Si los clientes pueden elegir tres sabores para mezcla

Dahasolnce [82]

Answer:

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

Step-by-step explanation:

En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:

1) El primer sabor sale de cualquiera de las 20 frutas disponibles.

2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.

3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.

Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:

$n\mathbb{P}k = \frac{n!}{(n-k)!}$ (1)

Donde:

$n$ - Número de sabores disponibles, adimensional.

$k$ - Número de sabores escogidos, adimensional.

Si tenemos que $n = 20$ y $k = 3$ , entonces la cantidad de malteadas de tres sabores distintos es:

$n\mathbb{P}k = \frac{20!}{(20-3)!}$

$n\mathbb{P}k = \frac{20!}{17!}$

$n\mathbb{P}k = 20\cdot 19\cdot 18$

$n\mathbb{P}k = 6840$

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

5 0

2 years ago

If f(x) =-2+8 and g(x) = square root of x+9 which statement is true

lidiya [134]

The statement that -6 is in the domain of f(g(x)) is true

<h3>Complete question</h3>

If f(x) = -2x + 8 and g(x) = $\sqrt{x + 9$ , which statement is true?

-6 is in the domain of f(g(x))
-6 is not in the domain of f(g(x))

<h3>How to determine the true statement?</h3>

We have:

f(x) = -2x + 8

$g(x) = \sqrt{x + 9$

Start by calculating the function f(g(x)) using:

f(g(x)) = -2g(x) + 8

Substitute $g(x) = \sqrt{x + 9$

$f(g(x)) = -2\sqrt{x + 9} + 8$

Set the radicand to at least 0

$x + 9 \ge 0$

Subtract 9 from both sides

$x \ge -9$

This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........

Hence, the statement that -6 is in the domain of f(g(x)) is true

Read more about domain at:

brainly.com/question/24539784

#SPJ1

3 0

1 year ago

The sum of the angle measures of a polygon with s sides is 2340. find s.

marta [7]

Answer:

s = 15.

Step-by-step explanation:

The formula for a polygon with s sides is:

Sum of the angles = 180(s - 2) so we have:

180(s - 2) = 2340

180s - 360 = 2340

180s = 2700

s = 15

8 0

2 years ago

In is shopping for a couch with her dad and hears him ask the salesperson, "How much is your commission?" The salesperson says t

Y_Kistochka [10]

Answer:

A. $27.23

B. $467.77

Step-by-step explanation:

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Salesperson commission = 5 1/2%

Price of couch = $495

A. Amount earned by the salesperson = 5 1/2% of $495

= 5.5% × 495

= 0.055 × 495

= 27.225

Approximately

Amount earned by the salesperson = $27.23

B.How much money will the store get from the sale of the couch?

Amount the store get = Total price - amount earned by salesperson

= $495 - $27.23

= $467.77

8 0

2 years ago

Find the slope of the line below . Enter your answer as a fraction or decimal. Use a slash mark ( / ) as the fraction bar if nec

natali 33 [55]

Answer:

1/5

Step-by-step explanation:

We can find the slope of a line given two points by using the following

m = ( y2-y1)/(x2-x1)

= ( 3-0)/(7 - -8)

= ( 3-0)/(7+8)

= 3/15

= 1/5

7 0

2 years ago

Read 2 more answers