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vaieri [72.5K]
3 years ago
8

Three friends agree to save money for a graduation road trip. They decide that each of them will put 50.25 in the fund on the fi

rst day of May, $0.50 on the second day, $0.75 on the third day, and so on. At the end of May, there will be Sin their fund. (Hint: There are 31 days in May.)
Mathematics
2 answers:
pantera1 [17]3 years ago
8 0
$57.75 is the amount each on saved for trip. After that you multiply that by 3. which will equal to $173.25
Alexandra [31]3 years ago
3 0

answer is 372 dollars total


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Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
sammy [17]

Answer:

<h2>(f.g)x =  {x}^{2}  + 24x + 140</h2>

Step-by-step explanation:

given \\ f(x) = x ^{2}  + 10x + 21 \: and \: g(x) = x + 7

as \: we \: know \: (f.g)x \: is \: same \: as

f(g(x))

so \:

f(x + 7) = ( x + 7) ^{2}  + 10(x + 7) + 21

f(x + 7) =  {x}^{2}  + 14x + 49 + 10x + 70 + 21

f(x + 7) = x^{2}  + 24x + 140

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(f.g)x =  {x}^{2}  + 24x + 140

3 0
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Piano lessons cost $30 per lesson. Choose the graph that represents the total cost for x number of lessons. ty 150 1501 ofy y 디
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3 0
1 year ago
f(x) = 0.2^x is transformed 9 units right, compressed vertically by a factor of 1/6 and reflected across the x-axis. Write the t
postnew [5]

Answer:

The function g(x) is defined as g(x)=-\frac{1}{6}(0.2)^{x-9}.

Step-by-step explanation:

The given function is

f(x)=-(0.2)^x

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.

The transformation of function is defined as

g(x)=kf(x+b)+c

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.

If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.

If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.

The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

g(x)=\frac{1}{6}(-f(x-9))

g(x)=-\frac{1}{6}(0.2)^{x-9}            [\because f(x)=-(0.2)^x]

Therefore the function g(x) is defined as g(x)=-\frac{1}{6}(0.2)^{x-9}.

7 0
3 years ago
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