Answer:
y = 3x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (3, 4 ) and (x₂, y₂ ) = (2, 1 )
m =
=
= 3 , then
y = 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1 ) , then
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 3x - 5 ← equation of line
Answer:
Step-by-step explanation:
Total cost
C (x) = 35+ 60x
Where,
Fixed cost= $35
Variable cost = 60x
x= number of hours of work
Total cost is the addition of fixed and variable cost
C (x) = 35+ 60x
C(5)= 35 + 60(5)
= 35 + 300
=335
C(5) = 335
C(5) = 335 is Olivia's total cost of hiring the electrician
x=5 is the electrician's number of hours of work
35= fixed cost of hiring the electrician
60(5) = 300 is the variable cost of hiring the electrician for 5 hours
The amount or the strength of force is named magnitude.
<h3>What is force?</h3>
Force is that the push or pull on an object with mass that causes it to alter its velocity. Force is an external agent capable of adjusting the state of rest or motion of a selected body. it's a magnitude and a direction.
<h3 /><h3>How to identify strength of force?</h3>
The term which is true is magnitude. The magnitude of a force is expressed within the SI unit of force called Newton. 1 Newton is that the force which might make an object of 1 kilogram mass to at a speed of 1 meter per second. Magnitude is essentially the most extent of size and also the direction of an object. Magnitude is employed as a typical think about vector and scalar quantities. Magnitude of earthquake is measured by Richter scale.
Hence the number or the strength of force is named its magnitude.
Learn more about force at brainly.com/question/12970081
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Answer:
D) y = 1/4 x^2
Step-by-step explanation:
For these functions, the leading coefficient can be considered to be either ...
the vertical scale factor (larger ⇒ narrower)
the square of the inverse of the horizontal scale factor.
In the latter case, the horizontal scale factor will be larger (wider) when its inverse and the square of its inverse are smaller.
Either way, you're looking for the smallest leading coefficient: 1/4.
The perimeter of a rectangle is (2 lengths) plus (2 widths).
If one side is missing, then it sounds like you still have enough information
to know what the length and the width are. Just take each number and use
the first line up there /\ to calculate the perimeter with them.