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3 years ago

What is the similarity between relative dating and radioactive dating?

1 answer:

4 0

Hello,

Both relative and radioactive dating are used to determine the age of fossils and geological features.

Faith xoxo

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Use long division to divide x^3+x^2-2x+14 by x+3

bekas [8.4K]

First, $x^3=x^2\cdot x$ , and if we multiply $x+3$ by $x^2$ we get

$x^3+3x^2$

Subtracting this from the numerator gives a remainder of

$-2x^2-2x+14$

Next, $-2x^2=-2x\cdot x$ , and if we multiply $x+3$ by $-2x$ we have

$-2x^2-6x$

and subtracting this from the previous remainder, we end up with a new remainder of

$4x+14$

Next, $4x=4\cdot x$ , and if we multiply $x+3$ by $4$ we get

$4x+12$

Subtracting from the previous remainder, we get a new remainder of

$2$

which contains no more factors of $x$ , so we're done.

So,

$\dfrac{x^3+x^2-2x+14}{x+3}=x^2-2x+4+\dfrac2{x+3}$

8 0

3 years ago

A movie theater charges $5 per ticket and averages 300 customers each night. If prices are raised to $7 per ticket, the theater

Shtirlitz [24]

Attendance with the higher ticket price is ...

... $1750/$7 = 250

So the percentage change in attendance is ...

... change = (new - original)/original × 100%

... = (250 -300)/300 × 100% = -1/6×100% ≈ -17%

4 0

3 years ago

F is between E and G. EF=3X, EG= 11x-2, FG= 5x+16. Find the value of the variable

Salsk061 [2.6K]

9514 1404 393

Answer:

x = 6

Step-by-step explanation:

The sum of segments is used:

EF +FG = EG

3x +(5x +16) = 11x -2 . . . . substitute given expressions

8x +18 = 11x . . . . . . . . add 2

18 = 3x . . . . . . . . subtract 8x

6 = x . . . . . . divide by 3

The value of the variable is 6.

<em>Check</em>

The segment lengths are ...

EF = 3x = 3·6 = 18

FG = 5x+16 = 5·6 +16 = 46

EG = 11x -2 = 11·6 -2 = 64 = 18+46 . . . answer is correct

3 0

3 years ago

Solve the quadratic equation x2+8x−30=0 by completing the square.

diamong [38]

Answer:

$\bold{x=-4\pm\sqrt{46}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}$

5 0

3 years ago

Which ordered pairs make the open sentence true? 3x+y<14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0

Jet001 [13]

Answer:

(4, - 1)

(-1, 6)

Step-by-step explanation:

Given the expression :

3x+y<14

Test the opprions to find out the true statement.

(7, - 7)

3(7) + (-7) < 14

21 - 7 < 14

15 < 14 (not true)

(-1, 6)

3(-1) + 6 < 14

3 + 6 < 14

9 < 14 ( true)

(3, 6)

3(3) + 6 < 14

9 + 6 < 14 ( not true)

(4, - 1)

3(4) - 1 < 14

12 - 1 < 14 ( true)

(6,0)

3(6) + 0 < 14

18 < 14 ( not true)

4 0

3 years ago