Is this function linear or nonlinear?
Answers
Answer:
yes
Step-by-step explanation:
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Estimate a 15% tip for a $27.60 bill.
-2x+4y=32
-5x-10y=-20
12x+12y=36
-8x-8y=-8
solve and explain
Answers
-24y-5y=-11 is y=-11/-5+(24/-5)x
-2x+4y=32 is y=32/4+2/4x
-5x-10y=-20 is y= -20/-10+(5/-10)x
12x+12y=36 is y=36/12-12/12x
-8x-8y=-8 is y=-8/-8+(8/-8)x
-24x - 5y = -11
First Add these equations to cancel out the y value so we can find the x value.
(12x + 5y = 13) + (-24x - 5y = -11)
= -12x + 0y = 2
Now we are left with the equation -12x = 2
Next divide both sides by -12 and x = -1/6
Now plug x into any of the original two equations to find the y-value.
12(-1/6) + 5y = 13
-2 + 5y = 13
5y = 15
y = 3
or
-24(-1/6) - 5y = -11
4 - 5y = -11
-5y = -15
y = 3
Sp, x = -1/6 and y = 3
2.-2x + 4y = 32
-5x - 10y = -20
First, lets simplify both of the equations.
(-2x + 4y = 32) / -2 = x - 2y = -16
(-5x - 10y = -20) / -5 = x + 2y = 4
Now we have the two equations:
x - 2y = -16
x + 2y = 4
Subtract the equations from each other to cancel out the 'x'.
(x - 2y = -16) - (x + 2y = 4)
= -4y = -20
-4y = -20
Divide by -4
y = 5
Now plug 5 in for y in the equations:
x - 2y = -16
x + 2y = 4
x - 10 = -16
x = -6
x + 10 = 4
x = -6
So , y = 5, and x = -6
3. 12x + 12y = 36
-8x - 8y = -8
Lets also simplify the equations.
(12x + 12y = 36) / 12 = x + y = 3
(-8x - 8y = -8) / -8 = x - y = 1
Right off the bat you can say that x = 2 and y = 1.
2 + 1 =3
2 - 1 = 1
But mathematically:
Subtract both equations
(x + y = 3) - (x - y = 1)
= 2y = 2
2y = 2
y = 1
x + 1 = 3
x = 2
x - 1 = 1
x = 2
So x = 2 and y = 1;
Answers
leg 1 + leg 2
10 + 15 = 25
Since the sum of the legs is 25, thus, the third leg should be less than 25.
Answer:
A. Less than 25.
Step-by-step explanation:
Let x represent 3rd side of triangle.
We have been given hat two sides of a triangle have lengths 10 and 15.
We will use triangle inequality theorem to find the 3rd side of the triangle. Triangle inequality theorem states that 3rd side of a triangle must be less than the sum of other two sides of triangle.
Using triangle inequality theorem, we can set following inequalities:
Therefore, the length of third side should be greater than 5.
Therefore, the length of third side should be less than 25 and option A is the correct choice.
The dog's bowl was empty.
The singers's songs were finished.
The singers' songs were finished.
Answers
Answer:
The dogs's bowl was empty. This is wrong as there dogs's is not the way to write.
The dog's bowl was empty. This is the correct form where dog's is written properly.
The singers's songs were finished. This is wrong as singers's is not the way to write.
The singers' songs were finished. This is also correct as singer's is written properly.
The dog's bowl was empty.
The singer's songs were finished.
Answers
The surface of a plane is made up of points.
A plane can be seen.
A plane extends infinitely in all directions.
Answers
Answer:
The last one is the answer.
Answers
Answer:
-1
Step-by-step explanation:
It's going down so it's a negative, and it's going down one square unit at a time so just 1.