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3 years ago

PLZ HELP!!!!!! ASAP! 70 POINTS! Factor ax^2−ay−bx^2+cy+by−cx^2

Mathematics

2 answers:

dexar [7]3 years ago

5 0

Answer:

(a-b-c)(X^2-Y)

Step-by-step explanation:

DONE!!

Lera25 [3.4K]3 years ago

5 0

Hey i think this expression is not factorable with rational numbers

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Write and equation in slope intercept form of a line that has a slope of 1/3 and passes through the point (6,0)

ladessa [460]

y=(1/3)x-2

Step-by-step explanation:

the slope-intercept form is y-y1=m(x-x1)

hence, y-0=1/3(x-6) or y=(1/3)x-2

3 0

3 years ago

find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis

antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

$x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0$

Which means that the roots are

$x=0\ \lor\ x=1\ \lor\ x=-2$

Next, we can expand the function definition:

$y = x(x-1)(x+2) = x^3 + x^2 - 2x$

In this form, it is much easier to compute the derivative:

$y' = 3x^2+2x-2$

If we evaluate the derivative in the points of interest, we have

$y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3$

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

$y-y_0=m(x-x_0)$

is what we need. The three lines are:

$y-0=6(x+2) \iff y = 6x+12$ This is the tangent at x = -2

$y-0=-2(x-0) \iff y = -2x$ This is the tangent at x = 0

$y-0=3(x-1) \iff y = 3x-3$ This is the tangent at x = 1

7 0

3 years ago

What is the answer to this calculus problem???<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28e%20%7B%7D%5E

Len [333]

Answer:

see explanation

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)g(x), then

$\frac{dy}{dx}$ = f(x). g'(x) + g(x). f'(x)

here f(x) = $e^{x}$ ⇒ f'(x) = $e^{x}$

g(x) = cosx ⇒ g'(x) = - sinx

Hence

$\frac{dy}{dx}$ = $e^{x}$ (- sinx) + cosx $e^{x}$

= $e^{x}$ cosx - $e^{x}$ sinx

3 0

3 years ago

ABCDEFGHIJ is a regular decagon and the measure of <D is 144º. What is the measure of <A?

AnnyKZ [126]

Answer:

1. 144⁰

2. 60⁰

Step-by-step explanation:

The formula to find the measure of the interior angles of a regular polygon is:

m< = (n - 2) • 180/n where n = the number of sides

For a decagon, there are 10 sides.

m< = (10-2) • 180/10 = 144°

A regular polygon/equilateral triangle is defined as having equal sides and angles.

4 0

3 years ago

Read 2 more answers

8. Loren already knows that he will have $500,000 when he retires. If he sets up a payout

Ulleksa [173]

The annuity could provide $221.19 each month

Step-by-step explanation:

The ANNUITY FORMULA is $P_{t}=\frac{d[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}}$ , where

1. $P_{t}$ is the balance in the account after t years

2. d is the regular deposit (the amount you deposit each year or month

or .........)

3. r is the annual interest rate in decimal

4. n is the number of compounding periods in one year

5. t the number of years

∵ Loren knows that he will have $500,000 when he retires

∴ $P_{t}$ = $500,000

∵ he sets up a payout annuity for 30 years in an account paying 10%

interest

∴ t = 30 years

∴ r = (10/100) = 0.1

∵ The annuity could provide each month

∴ n = 12

Substitute the values above in the formula

∴ $500,000=\frac{d[(1+\frac{0.1}{12})^{(12)(30)}-1]}{\frac{0.1}{12}}$

∴ $500,000=\frac{d[(1.00833333)^{360}-1]}{0.00833333}$

∴ 500,000 = d [2260.487925]

- Divide both sides by 2260.487925

∴ d = $221.19

The annuity could provide $221.19 each month

Learn more:

You can learn more about deposit in brainly.com/question/8782252

#LearnwithBrainly

8 0

3 years ago