Answer:
A.
Step-by-step explanation:
We have x in exponent, so it is an exponential function.
Exponent is negative, so is is an exponential decay.
S= savings before she bought the dress s - $55 would be her new balance after she bought the dress.
We could also talk about her savings now (after her purchase). If we let n=now
n + $55 would be her balance before she bought the dress.
Answer:
5. (x, y) ⇒ (-x, y) — see attached for the diagram
6. (x, y) ⇒ (x+3, y+5)
7. dilation
Step-by-step explanation:
5. A point reflected across the y-axis will have the same y-value, but the opposite x-value. The transformation rule is ...
(x, y) ⇒ (-x, y)
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6. A horizontal translation by "h" adds the value "h" to every x-coordinate. A vertical translation by "k" adds the value "k" to every y-coordinate. Then a translation by (h, k) will give rise to the rule ...
(x, y) ⇒ (x+h, y+k)
Your translation right 3 and up 5 will give the rule
(x, y) ⇒ (x+3, y+5)
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7. Any translation, rotation, or reflection is a "rigid" transformation that preserves all lengths and angles. Hence the transformed figure is congruent to the original.
When a figure is dilated, its dimensions change. It is no longer congruent to the original. (If the dilation is the same in x- and y-directions, then the figures are <em>similar</em>, but not congruent.)
Answer:
y = -1/2x + 2
Step-by-step explanation:
A line in slope-intercept form in y = mx + b
"m" is the slope
"b" is the y-intercept
x and y represent points on the graph
To write an equation, you need "m" and "b".
We already know m = -1/2
The point (0, 2) is the y-intercept. The y-intercept occurs when x = 0.
Points are in the form (x , y), so x = 0 and y = 2.
Therefore b = 2.
Substitute m = -1/2 and b = 2 into the equation:
y = mx + b
y = -1/2x + 2
This is how I would do it:
-8x=28-4y divide the entire equation by 4
-2x=7-y Put y back on the left and put x on the right
y=7-2x.