The function f(x)=3(2.5)x is shown on the coordinate plane.

1 answer:

7 0

Hello! Sorry this is a little late, but hopefully it can help others who visit this question!

I believe the answers would be "approaches y = 0" and "increases without bond".

I can confirm these answers are 100% correct!

Hope this helped :)

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A circular piece of fabric has a radius of 1.2ft. The fabric sells for $5.40 per ft2. What is the total cost of the circular pie

mixas84 [53]

Find the area of the fabric
The fabric is circular, so we find the area using the area of circle formula
a = π × r²

input the numbers
a = π × r²
a = 3.14 × (1.2)²
a = 3.14 × 1.44
a = 4.5216 ft²

Calculate the total cost
Multiply the cost by the area
cost = 5.4 × 4.5216
cost = 24.417
The total cost is approximately $24.42

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marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

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$\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}$