PLEASE HELP! NEED ANSWERS FOR A,C,D,E,F

Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x-3y=−9

Paha777 [63]

Answer:

Step-by-step explanation:

Slope-intercept from: y = mx +c

Here, m is the slope & c is the y-intercept.

So, we have to isolate y. To isolate y first subtract 2x from both sides.

2x - 3y = -9

-3y = -2x -9

Now, divide the entire equation by the co efficient of y (-3)

$\dfrac{-3}{-3}y=\dfrac{-2}{-3}x-\dfrac{9}{-3}\\\\\\y=\dfrac{2}{3}x + 3$

7 0

2 years ago

Find the value of x. 95° (7x – 40° (3x + 23) (9x – 6)°

BaLLatris [955]

Answer:10x

Step-by-step explanation:

yes

7 0

2 years ago

Difference between 4/5 and 6/8

alexira [117]

The answer is 1/20 .............

8 0

3 years ago

Read 2 more answers

Help evaluating the indefinite integral

Dafna11 [192]

Answer:

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

General Formulas and Concepts:
Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:
$\displaystyle (u + v)' = u' + v'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Reverse Power Rule]:
$\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Multiplied Constant]:
$\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution/u-solve.

Set u:
$\displaystyle u = 4 - x^2$
[u] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = -2x \ dx$
[du] Rewrite [U-Solve]:
$\displaystyle dx = \frac{-1}{2x} \ du$

Step 3: Integrate Pt. 2

[Integral] Apply U-Solve:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du$
[Integrand] Simplify:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du$
[Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C$
[u] Back-substitute:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

∴ we have used u-solve (u-substitution) to find the indefinite integral.

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Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

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

Unit: Integration

5 0

2 years ago

To the nearest dollar, what does the analyst believe

ruslelena [56]

The analyst believes the value of the stock at the end of three weeks will be $134.

<h3>What are stocks?</h3>

Stock (also known as capital stock) in finance refers to the shares of ownership in a corporation or company.
A single share of stock represents fractional ownership of the corporation based on the total number of shares.
This typically entitles the shareholder (stockholder) to that fraction of the company's earnings, proceeds from asset liquidation (after discharge of all senior claims such as secured and unsecured debt), or voting power, which are often divided in proportion to the amount of money invested by each stockholder.

To find the value of the stock:

Because the stock price drops by 28% every week, it will be:
100 - 28 = 72% every week.
So, r = 0.72.
Then, the equation V = 360(r)∧t will be V = 360(0.72)∧t .
After 3 weeks, V = 360(0.72)³ = 134.47 = 134

Therefore, the analyst believes the value of the stock at the end of three weeks will be $134.

Know more about stocks here:

brainly.com/question/690070

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The correct question is given below:

To the nearest dollar, what does the analyst believe the value of the stock will be at the end of three weeks? (Note: Disregard the $ sign when gridding your answer.)

3 0

2 years ago