Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y = + 2 will be translated 2 units up from the graph of y = .
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the , which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y = - 2 will be translated 2 units down from the graph of y = .
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the , which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2 is a stretched version of the graph y = . Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y = 
is a compressed version of the graph y = . Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]
Answer:
10x + 12 and 6x² + 11x - 7
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is length and w is width )
= 2(2x - 1) + 2(3x + 7) ← distribute parenthesis
= 4x - 2 + 6x + 14 ← collect like terms
= 10x + 12
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The area (A) of a rectangle is calculated as
A = lw
= (2x - 1)(3x + 7) ← expand using FOIL
= 6x² + 14x - 3x - 7 ← collect like terms
= 6x² + 11x - 7
I think its A not sure though
Answer:
A fruit stand has to decide what to charge for their produce.
They need $ 5.30 for 1 apple and 1 orange.
They also need $ 7.30 for 1 apple and 2 oranges.
TO DETERMINE
To put this information into a system of linear equations.
TO find a unique price for an apple and an orange
EVALUATION
Let the price of an apple = x and price of an orange = y
So From the first condition that they need $ 5.30 for 1 apple and 1 orange we get
\sf{x + y = 5.30}x+y=5.30 - - - - Equation 1
Again from second condition that they need $ 7.30 for 1 apple and 2 oranges we get
\sf{x + 2y = 7.30}x+2y=7.30 - - - - Equation 2
So the required Set of linear equations are
x + y = 5.30
x + 2y = 7.30
Equation (2) - Equation (1) we get
y = 2
From Equation (1) we get
x = 5.30 - 2 = 3.30
Hence price of an apple = $ 3.30
The price of an orange = $ 2
Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.
remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2
we said all side lengths are x so we can put x in for a and b and get
x^2 + x^2 = c^2
2x^2 = c^2
c = x * squareroot(2)
that is the basic fundamental answer that will always work when working with diagonals of squares.
so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft
