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3 years ago

9.) Find the following antiderivative

Mathematics

2 answers:

Studentka2010 [4]3 years ago

8 0

◆ Indefinite Integration ◆

IrinaVladis [17]3 years ago

5 0

Let u = 5x+1. Then du = 5·dx, and your integral is

$\displaystyle\frac{1}{5}\int{\frac{5}{5x+1}}\, dx=\frac{1}{5}\int{\frac{1}{u}} \, du}\\\\ =\frac{1}{5}\ln(u)=\frac{1}{5}\ln(5x+1)$

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What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?

telo118 [61]

Step-by-step explanation:

The solution is one-solution

.3(12x-16)=.4(12-3x) (you do the distributive property)

3.6x-4.8=4.8-.12x (you add 1.2 to both sides)

3.6x-3.6=4.8 (You add 3.6 to both sides)

3.6x=8.4 ( You divide 3.6 both numbers)

x=0.4285...

Its a one-solution

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3 years ago

Log(x)²=(logx)², find the value of x

Gnesinka [82]

Answer:

x = 7.39

Step-by-step explanation:

log(x)²=(logx)², find the value of x

log x² = log x * log x

2log x = log x * log x

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Take the exponent pf both sides

e² = e^logx

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x = 7.39

6 0

3 years ago

Which equation models a line that passes through point (-2,2) And has a slope of -8

trasher [3.6K]

So we will be using $y=mx+b$ form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.

$2=-8(-2)+b$

Firstly, do the multiplication: $2=16+b$

Next, subtract 16 on both sides, and your answer will be -14 = b

Using the previous info we have, our equation is y = -8x - 14

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3 years ago

Alberta has 5 shirts and 4 pants. 3 of the shirts are her favorite and 2 of the pants are her favorite. If Alberta chooses an ou

tiny-mole [99]

Answer:

$\frac{3}{10}$

Step-by-step explanation:

In probability, "AND" means "multiplication" and

"OR" means "addition".

We want the probability that she picks FAVORITE SHIRT "AND" FAVORITE PANT.

Probability that she picks favorite shirt = 3/5

Probability that she picks favorite pants = 2/4 = 1/2

Since, "AND", we "multiply" both to get:

3/5 * 1/2 = 3/10

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4 years ago

Parallel lines are preserved in which of the following types of transformations?

dedylja [7]

Answer:

The answer should D) I, II, and III

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3 years ago