10 raise to power2 - 11 raise to power 2 + 4raise to power2​

Compute the derivative of y = (x² + x - 2)² using the chain rule:

dy/dx = 2 (x² + x - 2) d/dx [x² + x - 2]

dy/dx = 2 (x² + x - 2) (2x + 1)

Evaluate the derivative at x = -1 :

dy/dx (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4

This is the slope of the tangent line to the function at (-1, 4).

Use the point-slope formula to get the equation for the tangent line:

y - 4 = 4 (x - (-1))   →   y = 4x + 8

Answer:

Infinite number of solutions

Step-by-step explanation:

Use distributive property to eliminate the parenthesis on the left:

8 x + 12 = 16 x + 12 - 8 x

combine like terms on the right:

8x+ 12 = 8 x + 12

subtract 12 from both sides

8 x = 8 x   (notice both sides are identical)

subtract 8 x  from both sides

0 = 0

This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")

9514 1404 393

Answer:

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

Answer:

n-7 would be the equation

Answer:

n - 7

Step-by-step explanation:

n - 7

Answer:

The answer to your problem is the last option

Answer:

1001 m/s

300 [tex]m/s^2[/tex]

0.299.

Step-by-step explanation:

Given that:

[tex]D=f(t)=t^3+1[/tex]

[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].

[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]

To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.

Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:

[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]

[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]

Relative rate of change:

[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]

Answer:

B

Step-by-step explanation:

D point is a representation of -(-3), Option D is correct.

A number system is defined as a system of writing to express numbers.

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers

Every point of a number line is assumed to correspond to a real number, and every real number to a point

The points right to the integer zero are positive

The points left to the integer zero are negative

-(-3) is nothing but +3

The point D represents the 3

Hence, D point is a representation of -(-3), Option D is correct.

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Answer:

A and B

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

I made a graph using “D e s m o s”

You can go on there too

Basically anything on the line would be the answer.

Answer: z = -2

Step-by-step explanation:

5(2z + 4) = 0

10z + 20 = 0    [distributive property]

10z = -20   [carry over the 20]

z = -2    [divide]

Answer:

1/5 and 3/4 difference is —

-11/20

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in one month you need to divide the total by the amount of months. 28.8/12 = 2.4

Answer:

what????????????????

Answer: I think its A

Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.

Answer:The other endpoint is at  ( − 4 , 3 )

Explanation:

The line segment passing through  ( − 4 , 9 )  and  ( − 4 , 6 )

is a vertical line with the midpoint  3

units below the first point.

The other endpoint must be  3

further units below the midpoint i.e. at  ( − 4 , ( 6 − 3 )

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Apply the fraction rule,

Divide the Numbers,

Factor the Number, then cancel the common factor!

Answer:

3/3

Step-by-step explanation:

Answer:

B, E, D

Step-by-step explanation:

You just look for the ones that have the same factors as 5:2

Answer:

A

C

D

Step-by-step explanation:

if I'm not wrong, I'm sure is that

Answer:

A) (5)^48

Step-by-step explanation:

They both equal 3.552713679E33.

Answer:

30

Step-by-step explanation:

5 x 6 = 30

2 x 6 = 12

30+12 = 42

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beautiful day!

Answer: 459009089038

Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...      

HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.

Answer:

2.4

Step-by-step explanation:

Given that :

The confidence interval = ( 7.9 , 12.7 )

The Margin of error M.O.E = Interval width/2

where;

The interval width = UCL - LCL

The interval width = 12.7 - 7.9

The interval width = 4.8

∴

The Margin of error M.O.E = 4.8/2

The Margin of error M.O.E = 2.4

Answer:

C. 26

Step-by-step explanation:

According to the question,

Daniel planted 51 seeds.

12 seeds did not grow at all,

Therefore, the number of seeds that grew are 51-12= 39

Then, from the 39 seeds that grew, 2/3 of them are green tomatoes.

So, to find out how many green tomatoes grew, we solve

2/3 * 39= 26.

Therefore, the amount of green tomatoes are 26.

Answer: 40% OUT OF 100

Answer:

(B)

Step-by-step explanation:

it is an undefined

Answer:

Step-by-step explanation:

I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.

Answer:

carrot

Step-by-step explanation:

give me brainlyist i never got it pls bt i have snap if you want im a girl

Answer:

by using the slope incercept form: y=mx+b

this one is m=7/3 (m is the letter we use for the word slope btw) :)

Step-by-step explanation: