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WINSTONCH [101]
2 years ago
6

Simplify the expression -2x(x+3) A: -x -6 B: -x + 6 C: -2x + 6 D: -2x - 6​

Mathematics
1 answer:
Leni [432]2 years ago
3 0

Answer:

D

Step-by-step explanation:

-2x(x+3)

-2x-6

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A salesperson earns 4% commission on furnace sales. What is the commission that the salesperson earns on the sale of $40,000 wor
Monica [59]

Answer:The commission that the salesperson earns on the sale is $1320

The commission would be double when he doubles his sales of furnaces

Step-by-step explanation:

The given is:

A salesperson earns 4% commission on furnace sales

The furnace sales have worth $33,000

We need to find the commission that the salesperson earns

∵ The salesperson earns 4% commission on furnaces sale

∵ The furnaces sale have worth $33,000

- Find the 4% of 33,000

∴ The salesperson earns 4% of 33,000

∵ 4% × 33,000 =  × 33,000 = 1320

∴ The salesperson earns $1320

The commission that the salesperson earns on the sale is $1320

∵ The salesperson doubles his sales of furnaces

∴ The commission would be double

That because the commission is a constant percent from his sales of furnaces, so if the amount of his sales of furnaces doubles , then his commission also doubles, it is a direct proportion relationship

Commission = constant (4%) × amount of furnaces sale

The commission would be double when he doubles his sales of furnaces

Step-by-step explanation:

5 0
2 years ago
Write an equation of a line containing (2, 1) and (3, 4) in point-slope form.
ivann1987 [24]

Answer:

y-1=3(x-2)

Or

y-4=3(x-3)

Step-by-step explanation:

The slope formula is given by:

m=\frac{y_2-y_1}{x_2-x_1}

The line containing (2, 1) and (3, 4)  has slope;

m=\frac{4-1}{3-2}=3

The point-slope form is given by:

y-y_1=m(x-x_1)

We substitute the point and slope to get:

y-1=3(x-2)

Or

y-4=3(x-3)

8 0
3 years ago
A teacher records the number of students present in her 1st period class each day. This count is a ___________ random variable.
blagie [28]

This count is a discrete random variable (option A).

<h3>What is a discrete random variable?</h3>

A discrete random variable is a variable that contains integers that can only be a limited number of possible values.  A discrete random variable is can contain only a finite set of numbers .

An example of discrete random variable is the number of students in the first period class. It is impossible for the number of students in the class to go on indefinitely.

Discrete random variable has the following properties:

  • It is finite
  • It is numeric
  • It is countable
  • It contains non-negative integers.

A continous random variable is a variable that has an infinite number.

To learn more about discrete data, please check: brainly.com/question/22916429

#SPJ1

7 0
1 year ago
What is the radius of a circle whose equation is X^2 plus Y^2 -10X +6 X +18=0?
frosja888 [35]

ANSWER

The radius is 4

EXPLANATION

The given equation is:

{x}^{2}  +  {y}^{2}  - 10y + 6x + 18 = 0

We complete the square to get the expression in standard form:

{x}^{2}  + 6x +  {y}^{2}  - 10y  + 18 = 0

{x}^{2}  + 6x +  9 + {y}^{2}  - 10y  + 25  =  - 18 + 9 + 25

We factor using perfect squares to get:

{(x + 3)}^{2}  +  {(y - 5)}^{2} =  16

This implies that,

{(x + 3)}^{2}  +  {(y - 5)}^{2} =   {4}^{2}

Comparing to

{(x  - h)}^{2}  +  {(y - k)}^{2} =   {r}^{2}

The radius is r=4

3 0
2 years ago
Tell whether the ordered pair (-1,3) is a solution of the system of linear equations. y=-7x-4 and y=8x+5
irinina [24]

Answer:

Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.

Step-by-step explanation:

(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4  3 =/ - 8 + 5

8 0
3 years ago
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