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Liula [17]
3 years ago
10

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

erivative. Remember to use absolute values where appropriate.) f(x) = 3 5 − 9 x , x > 0
Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

35x - \frac{9x^2}{2} + C

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes 35x - \frac{9x^2}{2} + C. We add a constant C for any possible constant that was eliminated during differentiation.

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4 Choose the correct answer for the expression: 5 x 5 x 5 x 5 A 54 B. 53 C 52 D) 55​
Alchen [17]

Answer:

um I dont think any of those are right it should be 625

Step-by-step explanation:

sorry if those are the only answer choices then I do not know how to help

5 0
3 years ago
Direction: Solve the given problems.
MAXImum [283]
<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

=\tt 2 : 3 \:  =  \:  x  : 6

= \tt \frac{2}{3}  =  \frac{x}{6}

=\tt 2 \times 6 = 3 \times x

=\tt 12 = 3x

=\tt x =  \frac{12}{3}

\hookrightarrow\color{plum}\tt \: x = 4

▪︎<u>Therefore, the smaller number = 4</u>

<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = \tt \frac{36}{6}

Let the number be x.

Which means :

= \tt \frac{36}{6}  =  \frac{x}{3}

=\tt  \frac{36 \div 2}{6 \div 2}  =  \frac{x}{3}

=\tt  \frac{36}{6}  =  \frac{18}{3}

▪︎Therefore, the fractional number \tt \frac{18}{3} is equal to \tt \frac{36}{6}.

<h2>○=> <u>Solution (8)</u> :</h2>

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

=\tt  \frac{24}{6}  =  \frac{x}{8}

=\tt 24 \times 8 = 6 \times x

=\tt 192 = 6x

=\tt x =  \frac{192}{6}

\hookrightarrow \color{plum}\tt x = 32

▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

= \tt \frac{7}{2}  =  \frac{21}{x}

=\tt7 \times x = 2 \times 21

=\tt 7x = 42

=\tt x  =  \frac{42}{7}

\hookrightarrow \color{plum}\tt \: x = 6

▪︎Therefore, 6 adults were there in the plaza.

<h2>○=> <u>Solution (10)</u> :</h2>

Cost of 12 pencils = P60

Cost of 1 pencil :

= \tt \frac{60}{12}

=\tt P5

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

=\tt 5 \times 25

\color{plum}=\tt \: P  \: 125

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7 0
3 years ago
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Dahasolnce [82]
3xy 

<span>y(3y)/3xy + y(xy)/3xy + (y+1)(3x)/3xy </span>

<span>NOW since all of the fractions have a denominator of 3xy, drop the denominators and solve using the numerators. </span>

<span>y(3y) + y(xy) + (y+1)(3x) </span>

<span>3y^2 + xy^2 + 3xy +3x </span>

<span>cannot simplify further.</span>
5 0
3 years ago
Please help, I'll mark brainliest.
GREYUIT [131]
I'm almost certain it's C :)
8 0
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The table shows the number of miles that a car travels and the gallons of gasoline it uses to go those distances.
PtichkaEL [24]

Answer:

4 -.-

Step-by-step explanation:

8 0
2 years ago
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