The graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
-3x + 5y = -15
The above function shows a linear function we can write it as:
5y = 3x - 15
y = (3x - 15)/5
If x = 0, y = -3
x = 1, y = -2.4
x = 2, y = -1.8
x = -1, y = -3.6
x = -2, y = -4.2
Thus, the graph of the function -3x+5y=-15 is a linear function we can draw it by finding the values of y for every value of x.
Learn more about the function here:
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Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
A) 6(4)^1-6(4)^0 = 24-6 = 18
6(4)^3-6(4)^2 = 384-96 = 288
b) It is 27.11 times difference. This is because g(x) is an exponential function and so as x increases, g(x) increases faster.
Answer:
for speed/distance conversation allow for a small amount of rounding up/ down.
sub 18 minute 5k
Follow our training plan for a sub 18 minute 5k
Before starting this plan it is recommended that your 5k PB should be below the sub 20 minute 5k mark already and you are able to run faster than your target 5k race pace for at least 1km.
This is because during the course of this 18 Minute 5k Training Plan you will be running slightly faster than your race pace for short durations so you really need to ensure that you can run 1km at 5:45 pace. If you are not quite there yet, have a look at one of our other 5k training plans and build up to this one:
Answer:
The radius is 0.398 feet to produce a perfect lawn for the lawnmower.
It is given that the width of the lawnmower is 2.5 feet and the length of the rope is 25 feet.
It is required to calculate the radius (R) of the pole that will produce a perfect lawn.
What is a circle?
It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have,
Width of the lawnmower = 2.5 feet
Length of the rope = 25 feet
For the perfectly mowed lawn, it means the lawnmower width which is 2.5 feet must wrap the pole with radius R, mathematically:
The perimeter of the pole = width of the lawnmower
2πR = 2.5
R = 0.398 Feet ( π = 3.14 )
Thus, the radius is 0.398 feet to produce a perfect lawn for the lawnmower.
