You need to divide 65 1/2 by 15.






Each one got
acres.
There is one solution:
use elimination method
5x - 7y = 12
5y - 2x = -7 ---> change equation around
5x - 7y = 12
-2x + 5y = -7
2 x ( 5x - 7y) = 2 x (12) multiply both sides by 2
5 x (-2x +5y) = 5 x (-7)
this give you
10x - 14y =24
-10x+25y = -35 add down
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11y = - 11 x is eliminated to find y value
y = -1 input to one of the original equations
5(-1) - 2x = -7
-5 - 2x = -7
+5 +5 add 5 to both sides
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-2x = -2
x = 1
your coordinates for when they intersect is at (1, -1)
one solution
Answer:
look below
Step-by-step explanation:
y = 2 (x + 3)^2 - 2
Geometric figure: parabola
Alternate forms:
y = 2 (x + 2) (x + 4)
y = 2 (x^2 + 6 x + 8)
-2 x^2 - 12 x + y - 16 = 0
Expanded form:
y = 2 x^2 + 12 x + 16
Roots:
x = -4
x = -2
<u>Properties as a real function:
</u>
Domain
- R (all real numbers)
Range
- {y element R : y>=-2}
Partial derivatives:
d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)
d/dy(2 (x + 3)^2 - 2) = 0
Implicit derivatives:
(dx(y))/(dy) = 1/(12 + 4 x)
(dy(x))/(dx) = 4 (3 + x)
Global minimum:
min{2 (x + 3)^2 - 2} = -2 at x = -3
Answer:
neither arithmetic nor geometric
Step-by-step explanation:
16, 12, 32, 92, ...
For arithmetic , there should be a common difference
16, 12, 32, 92, ...
Lets find the difference of two consecutive terms
12-16 = -4
32 - 12 = 20
92 - 32 = 60
Common difference is not same so it is not arithmetic
For Geometric , there should be a common ratio
16, 12, 32, 92, ...
Lets find the ratio of two consecutive terms



Common ratio is not same , so it is not Geometric
So answer is neither arithmetic nor geometric
Answer:
12) y = 2x + 8
13) ( -4, 3)
14) y + 3 = 1(x + 2) ; y = x - 1
Step-by-step explanation:
12) ( -2, 4) and (1, 10)
m=(y2-y1)/(x2-x1)
m= (10-4)/(1+2)
m=6/3
m = 2
y - y1 = m(x - x1)
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 8
13)
y - y1 = m(x - x1)
y - 3 = 2(x +4)
( -4, 3)
14) ( -2, -3) and (4, 3)
m=(y2-y1)/(x2-x1)
m=(3+3)/(4+2)
m=6/6
m=1
y - y1 = m(x - x1)
y + 3 = 1(x + 2)
y + 3 = x + 2
y = x - 1