Select the difference of (8x2 - 3x3) - (4x2 - 7x3).

Answers

Answer 1

Answer: (16-9)-(8-21)
7-(-13)
7+13
20

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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)

Answers

Answer: y = -x + 5 and y = -x - 7 (see attached graph)

Step-by-step explanation:

y = $(9)/(x + 1)$

= 9(x + 1)⁻¹

Use the product rule to find the derivative

a = 9 a' = 0

b = (x + 1)⁻¹ b' = -(x + 1)⁻²

ab' + a'b

= 9[-(x + 1)⁻²] + 0[(x + 1)⁻¹ ]

= $(-9)/((x + 1)^(2))$

Set the derivative equal to the desired slope of -1 to solve for x

-1 = $(-9)/((x + 1)^(2))$

-(x + 1)² = -9

(x + 1)² = 9

√(x + 1)² = √9

x + 1 = +/- 3

x + 1 = 3 x + 1 = -3

x = 2 x = -4

Plug those values into the original equation to solve for y:

y = $(9)/(x + 1)$

= $(9)/(2 + 1)$

= 3

(2, 3)

y = $(9)/(x + 1)$

= $(9)/(-4 + 1)$

= -3

(-4, -3)

Next, plug in the given slope (-1) and the coordinates above into the Point-Slope formula y - y₁ = m(x - x₁) to find the equations:

m = -1, (x₁ y₁) = (2, 3) m = -1, (x₁ y₁) = (-4, -3)

y - 3 = -1(x - 2) y + 3 = -1(x + 4)

y - 3 = -x + 2 y + 3 = -x - 4

y = -x + 5 y = -x - 7

Answer:

$f(x)=\frac9{x+1}\n f'(x)=-\frac9{(x+1)^2}\n f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\n |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\n x_1=2\ \vee\ x_2=-4\n f(x_1)=f(2)=\frac9{2+1}=3\n f(x_2)=f(-4)=\frac9{-4+1}=-3$

First tangent line:

$y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5$

Second tangent line:

$y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7$

Notice: slope of -1 means that both $f'(x_1), \ f'(x_2)$ are equal to -1, so $f'(x_1)=-1 \ and \ f'(x_2)=-1$

Which set represents the range of the function shown? {(8,2),(6,5),(4,7),(11,-2)}

A.) {-2, 2, 5, 7}

B.) {4,6,8,11}

C.) {(2,8),(5,6),(7,4),(-2,11)

D.) {-2,2,4,5,6,7,8,11}

Answers

Answer:

A.) {-2, 2, 5, 7}

Step-by-step explanation:

The range of a set of ordered pairs is the set of second numbers in the pairs.

Here, the second numbers are 2, 5, 7, -2. When written as a set, it is convenient (though not required) that they be written in numerical order:

{-2, 2, 5, 7} . . . . matches choice A

Answer:

A.) {-2, 2, 5, 7}

Step-by-step explanation:

What is 2x3x6x4x7x5x0x4x5

Answers

I followed the numbers across, thinking to myself "this won't be
too hard to multiply, because they're all small numbers". And then
when I got to the zero, I burst out laughing ! It doesn't matter at all
what all the other numbers are. Once there's a zero in there, the whole
product will be zero, no matter what else gets multiplied along the way.
There could be millions and billions in there. You wouldn't need to do
any calculating at all. With zero as a factor, you know right away that
the product is zero.

So your question is
$\sf{2*3*6*4*7*5*}$ $\bf{0}$ $\sf{*4*5=}$

We need to use this property:
$\sf{a * 0=0}$

So then your problem has one number that is a 0. And all these numbers are getting multiplied. That means you could have like a million numbers, but if you multiply it by 0 even once, your final answer will be 0.

So your final answer is

$\boxed{\bf{0}}$

Three families each have three sons and no daughters. Assuming boy and girl babies are equally likely, what is the probability of this event?

Answers

I don't think it matters how many families are involved.
You're talking nine live births, and the probability of a
male birth each time is 50% .

So the probability of nine males in nine births is

(1/2)^9 = 1/512 = about 0.195 percent (rounded)

three families with three children all boys
parents-2
children-3
total-5 times 3= 15
then boys-3 times three=9

Answer: 9/12
Percentage:75%

Find the final sale price rounded to the nearest cent of a $239 television with a 10% discount.

Answers

Answer:

215

Step-by-step explanation:

239 x .10 = 23.9

239 - 23.9 = 215.1

then to round it would be 215!

Max scored 9 runs on Monday and 11 runs on Tuesday. How many runs did he score in all?

Answers

The totalrun he scored in all would be 20.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that max scored 9 runs on Monday and 11 runs on Tuesday.

We need to find the total number of scores he runs in all.

The run scored on Monday = 9

The run scored on Tuesday= 11

The total = run scored on Monday + run scored on Tuesday

The total = 9 + 11 = 20

The totalscore he runs in all would be 20.

To learn more about the unitary method, please visit the link given below;

brainly.com/question/23423168

#SPJ2

Out of those two days ? 20 runs

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(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.