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IrinaK [193]
3 years ago
14

If f(x) = x1/2 and g(x)= 2x^3 - x1/2 - x, find f(x)-g(x)

Mathematics
1 answer:
shusha [124]3 years ago
8 0

Answer: D- f(x) - g(x) = -2x^{3} + 2x^{1/2}

Step-by-step explanation:

f(x) - g(x) = (x^{1/2} - x) - (2x^{3} - x^{1/2} - x)

f(x) - g(x) = x^{1/2} - x - 2x^{3} + x^{1/2} + x - distribute negative sign

f(x) - g(x) = -2x^{3} + 2x^{1/2} - combine like terms ( -x & +x cancel out)

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image Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle graph above. If Dita spent $ 12
sdas [7]

Let total amount spent =x

Dita spent 35 % of total amount.

35% of x = 0.35x

So amount spent by Dita = 0.35x

% of money spent by Benton = 20 % of x = 0.2x

We are given that Benton spent $12 more than Claire,

so making equation we have ,

Money spent by Dita = Money spent by Claire +12

0.35x =0.2x +12

0.35x -0.2x = 12

0.5x =12

x=80

So total amount spent was $80.

Money spent by Benton = 0.2x = 0.2 * 80= $16

So amount spent by Benton is $16.



5 0
3 years ago
Choose Yes or No to tell whether the expressions are equivalent.
netineya [11]
1. No
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3. Yes
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8 0
3 years ago
The school store sells erasers for $0.35 each and pencils for $0.15 each. Anthony spent $2.80 to buy a total of 12 erasers and p
Sergio039 [100]

Answer:

5 erasers.

Step-by-step explanation:

0.35e + 0.15p = 2.80

e + p = 12

e = 12 - p

0.35(12 - p) + 0.15p = 2.80

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-0.2p = -1.4

-0.2p/-0.2p = -1.4/-0.2

p = 7

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2 years ago
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Answer:

u = 16

Step-by-step explanation:

Given

\frac{3}{4} u = 12

Multiply both sides by 4 to eliminate the fraction

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