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jarptica [38.1K]
3 years ago
5

1. Write the question y=-1/2x+3 in standard form.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
8 0
y=-\frac{1}{2}x+3 \ \ \ |+\frac{1}{2}x\\
\frac{1}{2}x+y=3 \ \ \ |\times 2 \\
\boxed{x+2y=6}
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A padlock has a 4 digit key code
german
Where is the rest of the question?
6 0
3 years ago
On a separate sheet of paper, graph the function. In the answer box, describe the function.
Mumz [18]

Answer:

Step-by-step explanation:

Given piecewise function is,

f(x) = -5x + 2 If x < 2

         2x - 2 If x ≥ 2

For f(x) = -5x + 2 If x < 2,

Graph of this piece will be a straight line with slope = -5 and y-intercept = 2

For f(x) = 2x - 2 If x ≥ 2,

Similarly, Graph of the second piece of the function will be a straight line with slope = 2 and y-intercept = -2.

By using the graphing tool we can draw the graph of the piecewise function given.

5 0
2 years ago
100 points!!!
Bogdan [553]

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations is the point of intersection of the two lines.  From inspection of the graph, the point of intersection is at (1, 5).

<u>Proof</u>

The solution to a system of equations is the point at which the two lines meet.  

⇒ g(x) = f(x)

⇒ 3x + 2 = |x - 4| + 2

⇒ 3x = |x - 4|

⇒ 3x = x - 4   and   3x = -(x - 4)

⇒ 3x = x - 4

⇒ 2x = -4

⇒ x = -2

Inputting x = -2 into the 2 equations:

⇒ g(-2) = 3 · -2 + 2 = -4

⇒ f(-2) = |-2 - 4| + 2 = 8

Therefore, as the y-values are different, x = -2 is NOT a solution

⇒ 3x = -(x - 4)

⇒ 3x = 4 - x

⇒ 4x = 4

⇒ x = 1

Inputting x = 1 into the 2 equations:

⇒ g(1) = 3 · 1 + 2 = 5

⇒ f(1) = |1 - 4| + 2 = 5

Therefore, as the y-values are the same, x = 1  IS a solution

and the solution is (1, 5)

8 0
2 years ago
The sum of three consecutive numbers is 72 what are the smallest of these numbers
Airida [17]
A + b + c = 72

a = b - 1

c = b + 1

 

(b - 1) + b + (b + 1) = 72

Simplify

3b = 72

b = 24

 

a = 24 - 1

a = 23


8 0
3 years ago
Consider the following vectors in component form.
Mrac [35]

Answer:

Cartesian Coordinate System

• Also called

rectangular coordinate

system

• x- and y- axes intersect

at the origin

• Points are labeled (x,y)

Polar Coordinate System

– Origin and reference

line are noted

– Point is distance r from

the origin in the

direction of angle θ,

ccw from reference

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– Points are labeled (r,θ)

Cartesian to Polar Coordinates

• r is the hypotenuse and θ

an angle

θ must be ccw from

positive x axis for these

equations to be vali

Step-by-step explanation:

7 0
2 years ago
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