Answer:
$27.2
Step-by-step explanation:
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars.
This is explained in the calculation below
= A cake that costs $32 is on sale for 15% off
The amount off the cake is calculated as
= 15% of $32
= 15/100 × 32
= $4.8
The amount he is paying for the cake =>$32 - $4.8
= $27.2
The above expression is obtained as
(0.85).32
= (100% - 15%) × 32
=( 1 - 0.15) × 32
= 0.85 × 32
= $27.2
The final price of the cake = $27.2
Answer:
-20x - 24
you just multiply the factor on the outside by each on the inside.
The correct answer is: "Graph 1" ; that is, the "first graph to the left" .
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→ {among the two graphs provided as answer choices.}.
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<u>Note</u>:
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The line drawn on the graph shown on the "first graph" — (that is, the graph shown to the far left, among the two graphs provided as answer choices) — reflect the linear equation given:
" y = 6x " ;
and the line shown on the "first graph shown to the left" consists of the coordinates reflected on the table given:
" (0, 0) , (1, 6), (2, 12), (3, 18) " .
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Note that the "second graph, to the far right, is incorrect; the line provided in the "second graph" shows that:
when "x = 4" , "y = 20" .
This is incorrect; since:
Given the equation:
" y = 6x " ;
→ y = 6(4) ;
→ y = 24 ; NOT "20" ; so "Graph 2" is incorrect.
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The correct answer is: "Graph 1" ; that is, the "first graph to the left" .
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Yes it is a function. It is a horizontal line.
Every point on this line is of the form (x,4) where x can be any number you want. The y coordinate is fixed at 4 and cannot change. Two points on this line are (0,4) and (1,4). The horizontal line goes through 4 on the vertical y axis.
Why is it a function? Because it is impossible to draw a vertical line through more than one point on the graph of y = 4. The graph passes the vertical line test. Put another way, for any x input, there is exactly one y output.
Side Note: y = 4 is the same as y = 0x+4. Note how its in the form y = mx+b
m = 0 is the slope
b = 4 is the y intercept
