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ycow [4]
3 years ago
8

For the function f(x)=2x-6 and g(x)=5x+1, which composition produces the greatest output?

Mathematics
1 answer:
nadezda [96]3 years ago
5 0
Let's see which composition you can obtain:

f(g(x))=2(5x+1)-6=10x+2-6=10x-4 \\ g(f(x))=5(2x-6)+1=10x-30+1=10x-29.

You can see that graph g(f(x)) lies under the graph of f(g(x)), then the composition f(g(x)) <span>produces the greatest output.</span>
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You invest $4000 at 7% compounded weekly for 4 years. How much is the investment worth at the end of the 4 years?
Licemer1 [7]

Answer:

$5291.52

Step-by-step explanation:

So... the equation is f(x) = P(1+r/n)ⁿᵗ where r is the rate, n is the number of times compounded in a year, and t is time in years

if you plug the numbers in, you get (4000)(1+.07/52)^(4×52), which gives you $5291.52

6 0
2 years ago
What is the slope intercept form of 12x-5y=-44
Lilit [14]

Answer:

y = \frac{12}{5} x + \frac{44}{5}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 12x - 5y = - 44 into this form

subtract 12x from both sides

- 5y = - 12x - 44 ( divide all terms by - 5 )

y = \frac{12}{5} x + \frac{44}{5} ← in slope- intercept form


4 0
3 years ago
The band will receive income based on sales of x tickets. Which equation would represent the income I(x) from the sale of x tick
Leno4ka [110]
Where are the equations?
4 0
3 years ago
0.524 as a percentage
brilliants [131]

Answer:

52.4%

Step-by-step explanation:

Simply multiply the value with 100 to find the percentage

thus 0.524× 100 = 52.4%

3 0
3 years ago
Instructions:Select the correct answer from the drop-down menu. Dave is helping his grandmother make trail mix. His grandmother
Mazyrski [523]
Set up a proportional relationship:

xf/1n=(f/5)/(n/3)

xf/1n=3f/(5n)  multiply both sides by 1n

xf=3f/5 so

x=3/5

Dave must mix in 3/5 of a cup of fruit with a single cup of nuts.

You could of also just noted that you need to multiply 1/5 times 3 because 1/5 mixes with just 1/3 of a cup of nuts...

8 0
3 years ago
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