Answer:
(- 1, - 2 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 5 → (1)
5x - 2y = - 1 → (2)
Rearrange (1) expressing x in terms of y by adding 3y to both sides
x = 5 + 3y → (3)
Substitute x = 5 + 3y in (2)
5(5 + 3y) - 2y = - 1 ← distribute left side
25 + 15y - 2y = - 1
25 + 13y = - 1 ( subtract 25 from both sides )
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in (3) for corresponding value of x
x = 5 + (3 × - 2) = 5 - 6 = - 1
Solution is (- 1, - 2 )
Answer:
r = - 13 / 15 inches/week
Step-by-step explanation:
The numerator is 13
and the denominator is 15, then we have
r = - 13 / 15 inches/week
r < 0 since the water level of the lake fell
The equation that matches the given situation is
. So, after two moves, Eric's elevation changed
meters above.
We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.
Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.
Given that Eric climbed straight down
meters. So we can write
.
Again Eric climbed straight up
meters. So, we can write
.
Then the change = 
=
=
=
=
=
=
=
Therefore, the equation that matches the given situation is
. So, after two moves, Eric's elevation changed
meters above.
Learn more about subtraction here -
brainly.com/question/24116578
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Answer:
B
Step-by-step explanation:
The conduct of a survey is part of the plan process. In particular, the execution of the question(s) and the responses.
The minimum is the vertex
y=a(x-h)^2+k
(h,k) is vertex
given
(4,-8)
y=a(x-4)^2-8
find a
given
(2,0) and (6,0)
find a
0=a(2-4)^2-8
0=a(2)^2-8
0=4a-8
8=4a
divide 4
2=a
other one
0=a(6-4)^2-8
0=a(2)^2-8
0=4a-8
8=4a
divide 4
2=a
the function is
y=2(x-4)²-8 or expanded
y=2x^2-16x+24