The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x
<h3>Reflection of functions and coordinates</h3>
Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>
Given the exponential function below
f(x) = 5(0.8)^x
If the function f(x) is reflected over the x-axis, the resulting function will be
-f(x)
This means that we are going to negate the function f(x) as shown;
f(x) = -5(0.8)^x
Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x
Learn more on reflection here: brainly.com/question/1908648
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Answer:
1. The y-intercept is 10
2. The slope-intercept is -2
Step-by-step explanation:
1. The y-intercept is 10 because when the x-intercept is 0 the y-intercept should be on the other side.
2. (2,6) and (-1,12)
slope=rise/run= the change of y/the change of x=m=y2-y1/x2-x1
1. change of x=-1-2=-3 and change of y= 12-6=6
2. 6/-3= -2
hope this helps <3
Answer:
$24.11
Step-by-step explanation:
Let the cost of the present be c.
Then (3/4)c = $18.33.
To isolate (solve for) c, mult. both sides of this equation by (4/3):
(4/3)(3/4)c = (4/3)($18.33), or
c = $24.11
P² + 14p + 40
= p² + 10p + 4p + 40
= p(p+10) + 4(p+10)
= (p+10)(p+4)
Answer:
3rd option
Step-by-step explanation:
x < 7
means that x cannot equal 7 but all values less than 7
since not equal at either end of interval use parenthesis, not brackets , then
(- ∞ , 7 ) ← is the required interval
