in general, the graph of y = f(x-a) is a shift a units right if a is positive and shift of a units left if a is negative. for example, y = f(x-2) is 2 units right of f(x) and y=f(x+2) is 2 units LEFT.
in general, the graph of y = f(x) + a is a shift a units up if a is postiive and a units down if a is negtaive. For example, y = f(x) + 4 is 4 units up and y=f(x)-4 is a shift of 4 units down.
Note that f(x) = sqrt(x) here, so we have f(x+4) = sqrt(x+4) for 4 units left. Then you do f(x+4) + 6 = sqrt(x+4) + 6 for 6 units up.
Your answer is g(x) = sqrt(x+4) + 6
Answer:
In neighborhood AAA, the median number of TVs will likely be < the mean.
In neighborhood BBB, the median number of TVs will be ==equals the mean.
In neighborhood CCC, the median number of TVs will likely be ==equals the mean.
Step-by-step explanation:
Answer:
and
Step-by-step explanation:
Move the constant to the right-hand side and change their sign.
combine like terms
Square both side to remove square brackets.
10y + 24 - 3 = y²+ 8y + 16
Move the expression to the left-hand side and change its sign.
10y + 24 - y² - 8y - 16 = 0
Combine like terms
10y - 8y + 24 - 16 - y² = 0
2y + 8 - y² = 0
Use commutative property to reorder the terms.
-y² + 2y + 8 = 0
Change the sign of expression.
y² -2y -8 = 0
split -2y
<u>y² + 2y </u>- <u>4y - </u><u>8</u> = 0
Factor out y from the first pair and -4 from the second equation.
y ( y + 2 ) - 4 ( y + 2 ) = 0
Factor out y+2 from the expression.
( y + 2 ) ( y - 4)
When the products and factors equals 0, at least one factor is 0.
y + 2 = 0
y - 4 = 0
Solve for y
y = -2
y = 4
When we plug the both solution as y we found that both is true solution of this equation.
This equation has two solutions which are -2 and 4.
The simplified form of the given equation ( 2x + y = 8 ) is x = 4 - y/2.
<h3>Simplify all fractions?</h3>
Give the equation;
2x + y = 8
Subtract -y from both sides
2x + y - y = 8 - y
2x = 8 - y
Divide both sides by 2
2x/2 = ( 8 - y )/2
x = 8/2 - y/2
x = 4 - y/2
Therefore, the simplified form of the given equation ( 2x + y = 8 ) is x = 4 - y/2.
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