Answer:
g(x) = - 3^x
Step-by-step explanation:
G is a reflection across the x axis of the function of f(x)
g(x) = −f(x)
g(x) = - 3^x
Part 1:-
- cost to park of a day is= $25+$43+$61+$79 =$208
- and the hourly rate to a paddle boat =208÷24=$8.6 per hour
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<h3>What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.</h3>
The total cost to rent the boat will be
<u>3.5</u> hours x $<u> </u><u>12</u> per hour + $ <u>5</u> =$<u>47</u>
<u>i</u><u>f</u><u> </u><u>she </u><u>spilt </u><u>cost </u><u>with </u><u>a </u><u>friend</u><u> </u><u>,</u><u>they </u><u>will </u><u>each </u><u>pay$</u><u>4</u><u>7</u><u> </u><u>÷</u><u> </u><u>2</u><u>=</u><u> </u><u>$</u><u> </u><u>2</u><u>3</u><u>.</u><u>5</u>
Find the gradient/slope of Line A:
(3-2)÷(-1-4)
=-0.2
Therefore, the gradient/slope of line B is 5
Using the equation y-y1=m(x-x1) we can find the equation of line B
y-7=5(x-3)
y= 5x-8
Sub in a random value for y (eg. y=2)
2=5x-8
5x=10
X=2
so (2,2)
Answer: 5cm and 8cm
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 26 ...... i
l × w = 40 ...... ii
We can reduce equation i to l + w = 13.
l + w = 13 ....... i
l × w = 40 ....... ii
From i, l = 13 - w ...... iii
Put the value of l into equation ii
l × w = 40
(13 - w) × w = 40
13w - w² = 40
13w - w² - 40 = 0
w² - 13w + 40 = 0
w² -8w -5w +40 = 0
w(w - 8) -5(w - 8) = 0
(w - 5) = 0 and (w - 8) = 0
w = 0 +5 and w = 0 + 8
w = 5
l = 8
The dimensions are 5cm and 8cm
