Help solving this problem

Mathematics

1 answer:

amid [387]4 years ago

5 0

2t + 5b = 20
8t + 3b = 29
Multiply the first equation by-4
-8t -20b = -80
8t + 3b = 29
-17b = -51
b = 3
Plug 3 in for b into either equation and solve for t.
2t + 5(3) = 20
2t + 15 = 20
2t = 5
Divide both sides by 2
t = 2.50

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Step-by-step explanation:

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How many times would a member and a non member have to rent a boat in order to pay the same amount

Yakvenalex [24]

X = number of times they rent a boat.

Members
Cost = 105 + 9.50x
Non-members because members don't have to pay the 105 so we gotta leave it out.
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Now to determine whether the cost would be equal, we need to set the two equations equal to each other.

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Now solve for x

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3 years ago

For the real-valued functions, find the composition and specify its domain using interval notation.

Helen [10]

Answer:

Composition: $f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1$

Domain = { $x\,/\,x\geq \,-4$ }

Step-by-step explanation:

Given

$f(x)=4\,x-1\,\,\, and \,\,\, h(x)=\sqrt{x+4}$

The requested composition becomes:

$f(x)\,^o\,h(x)=f(h(x))\\f(x)\,^o\,h(x)=f(\sqrt{x+4} )\\f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1$

Then the Domain consists of all Real x-values for which the function is defined. In this case, the function is defined for all x-values for which the square root is defined, that is all x values for which:

$x+4\geq \,0$ (so the square root is defined in the Real number system)