Write the equation of the line

Answer:

x=2, -4, -1

Step-by-step explanation:

-x³-3x²+6x+8=0

Multiply entire equation by -1:

x³+3x²-6x-8=0

Since x=2 is a solution, then x-2 must be a factor. Then:

x³+3x²-6x-8/x-2=x²+5x+4

x²+5x+4=0

Factor this:

x²+5x+4=(x+4)(x+1)=0

x=-4, -1

x=2, -4, -1

[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]

[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]

[tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]

[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]

[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]

[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]

[tex]\boxed{\sf{=a^x}}[/tex]

→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]

→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]

Answer:

a^x.

Step-by-step explanation:

y = a^x / log a

Assuming the log is to the base e:

y = (1/ log a) * a^x

Derivative of a^x:

Let u = a^x

log u = log a^x

log u = x log a

1/u * du/dx = log a

du/dx =  = u * log a

y = (1 / log a) * u

so  dy/du = 1/log a

and dy/dx = dy/du * du/dx

=  (1/log a )* log a u

= u

= a^x.

Answer:

Danny contributed $295

Step-by-step explanation:

Assume that Danny contributed $x

∵ Danny contributed x

∵ Beth contributed $80 more than Danny

→ Add The amount of Danny by $80 to get the amount od Beth

∴ Beth contributed x + 80

∵ Katie contributed $20 less than Beth

→ Subtract the amount of Beth by 20 to get the amount of Katie

∴ Katie contributed x + 80 - 20

∴ Katie contributed x + 60

∵ The three friends pay $1025

→ Add their amounts and equate the sum by 1025

∴ x + x + 80 + x + 60 = 1025

→ Add the like terms in the left side

∵ (x + x + x) + (80 + 60) = 1025

∴ 3x + 140 = 1025

→ Subtract 140 from both sides

∴ 3x + 140 - 140 = 1025 - 140

∴ 3x = 885

→ Divide both sides by 3

∴ x = 295

∵ x represents the amount of Danny contributed

∴ Danny contributed $295

Answer:

200$ equals 170 euros so he will have 170 euros

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

Answer:

[tex]c = 2\sqrt{5[/tex]

Step-by-step explanation:

Given

[tex]a = 2[/tex]

[tex]b = 4[/tex]

c = hypotenuse

Required

Find c

Using Pythagoras theorem, we have:

[tex]c^2 = a^2 + b^2[/tex]

Substitute values for a and b

[tex]c^2 = 2^2 + 4^2[/tex]

[tex]c^2 = 4 + 16[/tex]

[tex]c^2 = 20[/tex]

Take square roots of both sides:

[tex]c = \sqrt{20[/tex]

Express 20 as 4 * 5

[tex]c = \sqrt{4 * 5[/tex]

Split surd

[tex]c = \sqrt{4} * \sqrt{5[/tex]

Take square root of 4

[tex]c = 2 * \sqrt{5[/tex]

[tex]c = 2\sqrt{5[/tex]

Answer:

15

Step-by-step explanation:

I got this answer because I just added up all the x's.

1=3

2=2

3=5

4=3

5=2

3+2= 5

5+5=10

10+3=13

13+2=15

Answer:

15 lbs total

1 canister - 3 lbs

lion has already consumed 9 pounds, "3 x 3 canisters of food"

15 - 9 = 6

6/3 = 2

the person needs to feed the lion 2 more canister

ANSWER IS 2

Step-by-step explanation:

Answer:

a) .000064

b) .2621

c) .9984

Step-by-step explanation:

esta correcta confianza en me

Answer:

2:9

Step-by-step explanation:

Answer:

2:11

Step-by-step explanation:

There are 2 hockey jerseys and 11 TOTAL. Total is including the hockey jerseys aswell

Answer:

The length of side A is 9 inches.

Step-by-step explanation:

B= A-4

C= A×2

B= 9-4

C= 9×2

B= 5

C= 18

9+5+18= 32 inches

A= 9 inches

B= 5 inches

C= 18 inches

Answer:

i dont speak chinese

Step-by-step explanation:

sorry ;-;

Answer:

3.33

hope I helped

Answer:

18 seconds per mile  

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

f(4)=4-2x+5

4-2(4)+5

4-8+5

1

Answer:

x=1

Step-by-step explanation:

4-2x+5

x=4 so substitute the x with 4.

4-2(x)+5

=1

Answer:

value of larger number is27

Step-by-step explanation:

x+y=45

x-y=9

2x=36

x=18

y=27

Answer: 27 + 18 = 45

27 - 18 = 9

Step-by-step explanation:

Answer:

1. 1/5    2. 3/5       4. 1/2    I dont know what 3 is

Step-by-step explanation:

Answer:

A≈50.27

Or 16π

Step-by-step explanation:

Answer:

50.24cm

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

36 represents the total cost that they spent

Answer:

About 30 m/s

Step-by-step explanation:

Answer:

4.78 pounds

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 9.2 pound

σ is the population standard deviation = 3.4 pounds

z = 1.3

We are to find x

Hence,

-1.3 = x - 9.2/3.4

Cross Multiply

-1.3 × 3.4 = x - 9.2

-4.42 = x - 9.2

x = -4.42 + 9.2

x = 4.78 pounds.

Therefore the weight of the cat is 4.78 pounds

Answer:

85

Step-by-step explanation:

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The given line of reflection is a perpendicular bisector of every segment joining any figure point with its image. Hence the given image trapezoid is a reflection across the line of the given pre-image trapezoid.

__

For example, Line f is the perpendicular bisector of AA'.

Answer:

p= 76

A=338

Step-by-step explanation:

Perimeter: 15+18+18+8+17=76

Area:

15x18=270+(8x17/2)

270+68=338

Answer: -2.2

Step-by-step explanation:

Answer:

-3/5 which is the third line between 0 and -1 if you're going back from 0.

Answer:

A: 38º

Step-by-step explanation:

Triangle JKL is an isosceles triangle as JK=KL:

Answer:

5

Step-by-step explanation:

-2-8/0-2

-10/-2

Answer:

(-2,3)

Step-by-step explanation:

The left and down is negative and right and up is positive

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