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Travka [436]
3 years ago
7

F’(x)= 1+3 square root x f(9)=68

Mathematics
1 answer:
notka56 [123]3 years ago
8 0

Answer:

f(x) = x + 2x^\frac{3}{2} + 5

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx

Apply the reverse power rule

x + 2x^\frac{3}{2} + C

Now solve for C when x = 9

x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5

Now substitute into the antiderivative

f(x) = x + 2x^\frac{3}{2} + 5

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Y=(x+3)(x-4)(x+1)^2 sulutions? Multiplicity?
Eddi Din [679]

Answer:

Y = (x + 3)(x - 4)(x + 1)^2

Y = (x^2 - x - 12)(x^2 + 2x + 1)

Y = x^4 + 2x^3 + x^2 - x^3 - 2x^2 - x - 12x^2 - 24x - 12

Y = x^4 + x^3 - 13x^2 - 25x - 12

7 0
3 years ago
Twin brothers,billy and Bobby, can mow their grandparents lawn together in 72 minutes. Billy could mow the lawn by himself in 15
Alla [95]

Answer:

Billy used 28 mins 30 sec to mow the lawn and Bobby used 43 mins 30 sec to now the lawn both within 72 mins

Step-by-step explanation:

let x represent Billy

let x+15 represent Bobby

x + x + 15 = 72

2x = 72 - 15

2x = 57

2x/2 = 57/2

x = 28.5 minutes = 28 minutes 30 seconds

Bobby = x + 15

= 28.5 + 15

= 43.5 minutes= 43 minutes 30 seconds

6 0
3 years ago
What is the quotient of 4 2/3 divided by 4 1/5 :fraction
Ostrovityanka [42]
Write the two fractions as improper fractions 
4  2/3 is 14/3
<span>4  1/5</span> is 21/5
rewrite
14/3 <span>÷ 21/5
since it is pretty complicated to divide two fractions, 
you change it to multiplication
keep the first fraction, change the division sign to multiplication, then flip the second fraction
(you can remember KEEP, CHANGE, FLIP whenever dealing with division of fractions :) )
14/3 * 5/21
multiply across
(14 * 5) / ( 3 * 21)
</span>70/ 63
simplify to 10/9
this can be written as 1  1/9

Hope this helps
8 0
3 years ago
Read 2 more answers
Lin spent 5/6 hour on math homework and 1 3/4 hours on science homework how many hours in all did she spend on homework for both
Alenkinab [10]

Answer:2 7/12 hours.

Step-by-step explanation: First, convert 1 3/4 to improper fraction form which will give you 7/4. Then find the common denominator of 5/6 and 3/4. The common denominator is 24. 5/6=20/24. 7/4=42/24. 20/24+42/24= 2 7/12.

5 0
3 years ago
***<br> -6<br> Simplify 21v6 ÷ (-7v-6)<br> O 0<br> -3y¹2<br> -3<br> 12<br> 0 -3<br> DONE<br> 0 0
-Dominant- [34]

Answer:

-3

Step-by-step explanation:

\frac{  21y {}^{ - 6} }{ - 7y {}^{ - 6} }  \\  - 3y {}^{ - 6 - ( - 6)}  \\  - 3y {}^{ - 6 + 6}  \\  - 3y {}^{0}  \\  - 3(1) \\  - 3

3 0
2 years ago
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