2x + 6y = 14y - 19x^2 + 12 is a non-linear equation
Step-by-step explanation:
Lets define a linear equation first.
A linear equation is an equation in which there is no variable with exponent greater than 1 or the degree of the equation is 1.
So,
<u>x + 12 = -8x + 10 - 2y</u>
The equation is a linear equation because the degree of the equation is 1.
<u>x = 8x + 19 - 10y</u>
The equation is a linear equation because the degree of the equation is 1.
<u>2x + 6y = 14y - 19x^2 + 12</u>
The equation involve a term with exponent 2 which makes the degree of the equation 2 making it a quadratic equation
<u>2x + 13y + 14x - 7 = 16y - 3</u>
The equation is a linear equation because the degree of the equation is 1.
Hence,
2x + 6y = 14y - 19x^2 + 12 is a non-linear equation
Keywords: Linear, quadratic
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Q(-3,-3)
R(3,2)
S(5,2)
T(5,-4)
Answer:
x = 2
Step-by-step explanation:
I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.
So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2
r²
The diameter is the sum of 2 radii, hence r=8
D=12
= 2r =12
r=8
With the raduis the area can be found
A= 2
r²
A=2
8²
A=2(64)
A=128
If the pie cost 10.99, the cost per inch can be found by dividing the area by cost
cost/inch =128
/10.99
cost/inch =11.64
= 11.64(3.14)
= 36.57
The pie costs 36 cents per square inch
Answer:
5 hours 22 minutes
Step-by-step explanation:
Let us represent the number of hours that Jeri worked as: h
Jeri's lawn service charges an initial fee of $4.50 plus $3 an hour
= $4.50 + $3 × h
= $4.50 + 3h
If she is asked to start before 7 a.m. Jeri charges 1.5 times the regular amount.
= 1.5 × ($4.50 + 3h)
If she made $29.25 on a job that began at 5 am, how many hours did Jeri work?
Hence, we have the final equation;
= 1.5 × ($4.50 + 3h) = $29.25
= 6.75 + 4.5h = 29.25
Collect like terms
= 4.5h = 29.25 - 6.75
4.5h = 22.5
h = 22.5/4.5
h = 5.3571428571
Approximately= 5.36 hours
1 hour = 60 minutes
0.36 hour =
60 × 0.36
= 21.6 minutes
Approximately ≈ 22 minutes
Therefore, Jeri worked for 5 hours 22 minutes
