HELP PLS!! I need help for question 10, answers a, b, and c! (Everything is in the picture)

Answer:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

General Formulas and Concepts:

Calculus

Discontinuities

Integration

Step-by-step explanation:

Let's define our answer choices:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

B)  [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]

C)  [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integration

Book: College Calculus 10e

Answer:

y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Step-by-step explanation:

We know that the general exponential function is of the form

f(x) = aˣ

were a > 0

Given the function

y = 2ˣ + 8

Comparing with y =  aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.

where a = 2

We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.

i.e.

y = 2ˣ + 8

y = 2⁰ +8        ∵ 2⁰= 1

y = 1+8

y = 9

Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.

Therefore, y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Answer:

ans below

Step-by-step explanation:

your gonna be 13

Answer:

13

Step-by-step explanation:

please mark this answer as brainlest

Answer:

The measure of Angle B = 82

Step-by-step explanation:

⁕We have to calculate the angle for A.

‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.

⁕You are going to subtract 143 from 180.

[tex]180 - 143 = 37[/tex]

‣So the angle of A is 37. A triangle equals 180 degrees.

⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.

[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]

‣Therefore, angle B equals 82.

Answer:

-1

Step-by-step explanation:

To figure this answer out, you add 9 to -10, which is -1

Hope this helps

Answer:

y ≥ -1

Step-by-step explanation:

range consists of all y-values contained in the solution set

the lowest y-value (as seen by the graph) is negative 1

Answer:

(-1,5)

Step-by-step explanation:

-4-(-3)=1

8-3=5

Answer: If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.

Step-by-step explanation:

Given: One station plays every 12 minutes the other every 8 minutes.

The minimum time at which both stations have commercials  = lcm (12 and 8 )

12 = 2 x 2 x 3

8 = 2 x 2 x 2

LCM( 12 and 8)= 2 x 2 x 2 x 3 = 24

The minimum time at which both stations have commercials  = 24 minutes

If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A is the variable.

Answer:

Hi! The correct answer is 16!

Step-by-step explanation:

~Use the formula (b/2)^2 in order to create a new term to complete the square~

Answer:

the answer is option : c 16

Answer:

y = 3x - 8

Step-by-step explanation:

passes through (5, 7) and (4, 4)

Find slope:

(7 - 4) / (5 - 4)

= 3/1

= 3

This is your slope.

Now plug in a set of coordinates.

y = 3x + b

7 = 3(5) + b

7 = 15 + b

b = -8

Your equation is: y = 3x - 8

Check your work by plugging in the second coordinate pair.

y = 3x - 8

4 = 3(4) - 8

4 = 12 - 8

4 = 4

Your solution is correct.

Answer:

315

Step-by-step explanation:

So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.

Since you want to find the number of adults, just multiply.

7/18 x 810

You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying

7 x 45

=315

So, 315 is your answer

Answer: 315 Adults.

Step-by-step explanation:

Let the number of adults is x.

Then the number of kids is (810-x).

The ratio of kids to adults is

810 - x/x = 11/7

It is your basic equation, which you get from the condition.

To solve it, cross multiply; then simplify

7*(810-x) = 11x

7*810 - 7x = 11x

7*810 = 11x + 7x

7*810 = 18x

x = 7 x 810/18 = 315.

Answer:

Answer : False.

Step-by-step explanation:

Hey there!

The equations of line a and line b are:

line a : y= 5x-6...........(i)

line b : x+5y= 5..........(ii)

Firstly find the slope of both equation.

To find slope of first equation;

y= 5x-6

Comparing the equation with y= mx+c. We get;

Slope (m1) = 5.

Now,

To find slope of second equation;

Slope (m2) = (-coefficient of x)/(coefficient of y)

Slope (m2) = (-1/5)

Therefore, the slope of second equation is -1/5.

As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.

Now, comparing their slopes;

5≠(-1/5)

Therefore, the answer is "False".

Hope it helps....

Line A

Compare to slope intercept form

LineB

Slope

As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel

Hence it's False

Answer:

p = 6

Step-by-step explanation:

The slope equation is:

[tex]m = \frac{y \frac{}{2} - y \frac{}{1} }{x \frac{}{2} - x \frac{}{1} } [/tex]

then to know the value of "p":

[tex] - \frac{1}{3} = \frac{7 - p}{p - 9} \\ - 1(p - 9) = 3(7 - p) \\ - p + 9 = 21 - 3p \\ 3p - p = 21 - 9 \\ 2p = 12 \\ p = \frac{12}{2} \\ p = 6[/tex]

Answer:

7

Step-by-step explanation:

7x3=21

Answer:

7

Step-by-step explanation:

21÷7=3

Answer:

63

Step-by-step explanation:

A= HxB÷2

7x18÷2=63

Answer:

A 159.25 to the second power

Step-by-step explanation:

he simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Answer:

D

Step-by-step explanation:

Answer: (x34, y912)

Step-by-step explanation: Because (x34, y912) equals (x34, y912) :)

Answer:

x = 2, y = 6

Step-by-step explanation:

I'm assuming you're finding the pattern and then finding x and y, in which case it would be:

In the first one (x, 3, 4, 5, 6) you can see it goes up by 1 each time so x is just 2.

In the second one (y, 9, 12, 15, 18) it goes up by 3 each time so y = 9-3 = 6.

Answer:

the answer is approximately 8.2 units.

Given:

The expression is

[tex]-5x+4-x-1[/tex]

To find:

The terms, like terms, coefficients and constants.

Solution:

We have,

[tex]-5x+4-x-1[/tex]

It can be written as

[tex]=(-5x)+4+(-x)+(-1)[/tex]

So, terms are [tex]-5x,4,-x,-1[/tex].

It two terms have same variable of same degree, then they are called like terms.

[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.

In the product of a number and a variable, the number is called coefficient.

Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.

Constant terms are free from variable. So, constant terms are 4 and -1.

Terms: [tex]-5x,4,-x,-1[/tex];

Like terms: [tex]-5x, -x;4, -1[/tex];

Coefficients: -5, -1;

Constants: 4, -1

Therefore, the correct option is c.

Answer:

»»»»»

ZBDC = ( 180 - x - y )°

:-))

»»»»»

Answer:

The cost of 1 orange is $2.05.

Step-by-step explanation:

Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.

Cost of 5 oranges = $5x

Cost of 2 packs of strawberries = 2×5 = $10

ATQ,

5x + 10 = 20.25

Subtract 10 both sides

5x + 10 -10 = 20.25-10

5x = 10.25

x = 2.05

So, the cost of 1 orange is $2.05.

Answer:

AA

Step-by-step explanation:

bggdjjydyjjydyjdjyfukufkuf

Answer:

9/25 = 0.36

Step-by-step explanation:

CLICK THAT CROWN AND THANK YOU BUTTON

Answer:

9/25 = 0.36

Step-by-step explanation:

Answer:

okay I also have no idea why why r busy and see

Answer:

i'm gonna say the answer is 16cm

Step-by-step explanation:

12/6 = 2

8/16 = 2

Let's solve for p.

[tex]y=4x3+4px2+16x−9[/tex]

Step 1: Flip the equation.

[tex]4px2+4x3+16x−9=y[/tex]

Step 2: Add -4x^3 to both sides.

[tex]4px2+4x3+16x−9+−4x3=y+−4x3[/tex]

[tex]4px2+16x−9=−4x3+y[/tex]

Step 3: Add -16x to both sides.

[tex]4px2+16x−9+−16x=−4x3+y+−16x[/tex]

[tex]4px2−9=−4x3−16x+y[/tex]

Step 4: Add 9 to both sides.

[tex]4px2−9+9=−4x3−16x+y+9[/tex]

[tex]4px2=−4x3−16x+y+9[/tex]

Step 5: Divide both sides by 4x^2.

4px² / 4x² = −4x³ − 16x + y + 9 / 4x²

Answer:

p = −4x³ − 16x + y + 9 / 4x²

Answer:

1x²+5 x 6x

Step-by-step explanation:

Answer:

The value of tan A: 40/9

i.e.

tan A = 40/9

Step-by-step explanation:

Given

Hypotenuse = 41

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

Here:

Thus, substituting opposite = 40 and adjacent = 0 in the equation

tan A = opposite / adjacent

tan A = 40/9

Therefore, the value of tan A: 40/9

i.e.

tan A = 40/9