Selena and Drake are evaluating the expression (StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1, when r = negative 1 and s = negative 2.


Selena’s Work
Drake’s Work

(StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1 Baseline = (r Superscript negative 1 Baseline s) Superscript negative 1 Baseline = StartFraction r Over s EndFraction = StartFraction negative 1 Over negative 2 EndFraction = one-half

(StartFraction (negative 1) (negative 2) Superscript negative 2 Baseline Over (negative 1) squared (negative 2) Superscript negative 3 EndFraction) Superscript negative 1 = (StartFraction (negative 1) (negative 2) cubed Over (negative 1) squared (negative 2) squared EndFraction) Superscript negative 1 = (StartFraction negative 8 Over 4 Endfraction) Superscript negative 1 Baseline = StartFraction 4 Over negative 8 EndFraction = negative one-half


Who is correct and why?
Selena is incorrect because she should have substituted the values for the variables first, and then simplifed.
Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.
Drake is incorrect because he should have simplified first, before substituting the values for the variables.
Drake is correct because he substituted the values for the variables first, and simplified correctly

Answer:

100 meters

Step-by-step explanation:

Given the following :

Alex house = F

Alex school = H

Alex bus stop = G

FG = 2x meters

GH = 1000meters

FH = 1200 meters

Hence,

FH = FG + GH

1200 = (2x + 1000) meters

1200 = 2x + 1000

1200 - 1000 = 2x

200 = 2x

x = 100meters

Hence, x = 100 meters

Answer:

Step-by-step explanation:

9 + 4x = 52

4x = 43

x = 10.75

4(10.75) = 43

Answer:

3(x + 4)

Step-by-step explanation:

Factor out a 3 from both terms, since 3 and 12 are both divisible by 3.

3x + 12

3(x + 4)

So, the factored expression is 3(x + 4)

Answer: 3(x+4)

Step-by-step explanation:

Hii! Do you need to factor the expression 3x+12? No problem! :)

Note that, both 3x and 12 have something in common. This "something" is known as the greatest common factor, or g.c.f.

The g.c.f. of 3x and 12 is 3, so we divide both 3x and 12 by 3

x+4; next we put parentheses around x+4.

(x+4)

Now  we put 3 outside the parentheses.

3(x+4)

Voila! There's our solution, cheers!

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Hope that this helped! Best wishes.

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Answer:

4u - 24

Step-by-step explanation:

(u-6)*4

Distribute

4*u - 4*6

4u - 24

Answer:

14

Step-by-step explanation:

5(x−6+3x)2−6

10(4x-6)-6

40x-60-6

40x-66

x=2

40*2-66

80-66

14

Answer:

6

Step-by-step explanation:

Unknown number = x

So,

x - 4 = 2 (add 4 to both sides)

x - 4 + 4 = 2 + 4

x = 6

Answer:

$13.36

Step-by-step explanation:

12.5+6.25+3.8=22.55

35.91-22.55= 13.36

Answer:

41

Step-by-step explanation:

Simplify the following:

(5 i + 4) (-5 i + 4)

Hint: | Multiply 4 + 5 i and 4 - 5 i together using FOIL.

(4 + 5 i) (4 - 5 i) = (4) (4) + (4) (-5 i) + (5 i) (4) + (5 i) (-5 i):

4×4 + 4 (-5 i) + 5 i×4 + 5 i (-5 i)

Hint: | Multiply 4 and 4 together.

4×4 = 16:

16 - 5×4 i + 5 i×4 + 5 i (-5)×i

Hint: | Multiply 4 and -5 together.

4 (-5) = -20:

16 + -20 i + 5 i×4 + 5 i (-5)×i

Hint: | Multiply 5 and 4 together.

5×4 = 20:

16 - 20 i + 20 i + 5 i (-5)×i

Hint: | Combine products of like terms.

5 i (-5)×i = 5 i^2 (-5):

16 - 20 i + 20 i + -5×5 i^2

Hint: | Evaluate i^2.

i^2 = -1:

16 - 20 i + 20 i - 5×5×-1

Hint: | Multiply 5 and -1 together.

5 (-1) = -5:

16 - 20 i + 20 i - 5-5

Hint: | Multiply -5 and -5 together.

-5 (-5) = 25:

16 - 20 i + 20 i + 25

Hint: | Evaluate 16 - 20 i + 20 i + 25.

16 - 20 i + 20 i + 25 = 41:

Answer:  41

Answer:

Cant give as good of as answer like the other person but it is 41!

Step-by-step explanation:

Answer: The answer is 91.44 centimeters/cm

Step-by-step explanation:

2.54*36= 91.44 centimeters/cm

A 36-inch long measuring stick is equivalent to 91.44 cm.

To convert inches to centimeters, we can use the conversion factor:

1 inch = 2.54 cm

To find out the length of a 36-inch measuring stick in centimeters,

we multiply the length in inches by the conversion factor:

36 inches x 2.54 cm/inch

= 91.44 cm

Therefore, a 36-inch long measuring stick is equivalent to 91.44 cm.

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Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = \frac{2}{45} }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 5 = \frac{ - 2}{9x} }[/tex]

Apply cross product property

[tex] \dashrightarrow{ \sf{ - 5 \times 9x = - 2}}[/tex]

[tex] \dashrightarrow{ \sf{ - 45x = - 2}}[/tex]

Divide both sides by -45

[tex] \dashrightarrow{ \sf{ \frac{ - 45x}{ - 45} = \frac{ - 2}{ - 45} }}[/tex]

[tex] \dashrightarrow{ \sf{x = \frac{2}{45} }}[/tex]

Hope I helped!

Best regards! :D

Answer:

inductive

Step-by-step explanation:

Inductive reasoning is based on generalization, and making conclusions without hard evidence. If Micheal has red hair and is from Chicago, inductive reasoning draws the conclusion that everyone in Chicago has red hair. Deductive reasoning would be predicting that everyone in Chicago has red hair, and then testing it to see if you are right.

Answer:

13 hours

Step-by-step explanation:

Mean=sum of observations/number of observations

=>17+15+5+8+20/5

=>65/5

=>13

Answer:  14.2

Step-by-step explanation:

The numbers are 17,15,5,8,20, and 20   and to find their mean you need to find their average which their sum divide by the number of values.

17 + 15 + 5 + 8 + 20 + 20 = 85

85 /6 = 14.1666...  and rounded to the nearest tenth is 14.2

Let's simplify step-by-step.

3x+2−4x−−2x

=3x+2+−4x+2x

Combine Like Terms:

=3x+2+−4x+2x

=(3x+−4x+2x)+(2)

=x+2

Answer:

=x+2

i hope this helps you

Answer:

Step-by-step explanation:

The sum of suplementary angles is allways 180°

so:

x  -   the other angle

3x  - three times the other angle

180°- x  - one angle

180° - x + 184° = 3x

   364° = 4x

     x = 91°

180°- x = 180° - 91° = 89°

Answer:

Answers in the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask =)

Answer: 7

Step-by-step explanation:

2−(−4)+3+(−6)−(−2)2

solution:

– x – = +

– x + = –

= 2−(−4)+3+(−6)−(−2)2

= 6 + 3 + ( – 6) – ( 2 ) 2

= 9 + ( –6 ) – ( –2 ) 2

= 3 – (–2)2

= 3 – ( –4 )

= 7

To solve any expression the BODMAS priority rule is applicable. Thus, the solution of the expression is 7.

The given expression is [tex]2-(-4)+3+(-6)-(-2)2[/tex]

Apply the BODMAS priority rule to the above expression.

To set the priorities of mathematical operations, the BODMAS is applied. BODMAS rule can be explained below:

  B stands for brackets.

  O stands for of, and or terms.

  D stands for divide.

  M for multiply.

  A for addition.

  S for subtraction.

Therefore, apply the BODMAS and solve the expression further.

[tex]\begin{aligned}2-(-4)+3+(-6)-(-2)2&=2-(-4)+3+(-6)-(-4)\\&=2+4+3-6+4\\&=7\end{aligned}[/tex]

Thus, the solution of the expression is 7.

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Answer:

The first one. Zareem takes good notes in class to know the lesson better

The first one. is the answer

Step-by-step explanation:

no graphs included. need photos or words to answer.

Answer: Its B (FtG)(x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

by memories the formula and practice questions

Answer:

Break it down

Take it slow

Step-by-step explanation:

By taking apart the information given, you can decide what information is useful and what isn't.

Don't rush this process. If you try and rush through math, you will likely make a mistake.

Answer: D

Step-by-step explanation:

We will try it to determine how much the need to save using the exponential function. In an exponential function,we need the start up amount and the common difference.

We know that the common difference is is 1.085  because if they will earn 8.5% interest plus 100% .

So  1.085 raised to the number of years times a number has to equal 250,000

x * 1.085^14 = 250,000   now solve for x

3.13340357495x = 250,000

x = 79785.44544 Rounded to the nearest cent is $79785.45

Answer:

A single sheet of paper should weigh: 0.00645 pound or  [tex]6.45*10^{-3}[/tex] (in scientific notation)

Step-by-step explanation:

Divide 3.225 (the weight of the ream of paper) by 500 (the amount of paper in a ream).

If you need the scientific notation form, simply move the decimal point/place right or left until you end up with a whole number that is between 1 and 10 (in this case, 3 times to the right), then determine what power of 10 it should be, depending on the number of times you moved the decimal place (in this case, the power is -3).

The power/exponent is determined by the direction you have to move your decimal point, right=negative and left=positive. For example, if you started off with the number 6450, you would move the decimal point 3 times to the left and your power would be positive 3, which results in [tex]6.45*10^{3}[/tex].

Hope this helps!

Answer:

option first cause

-2(y-5)= 3y+10-5y

-2y+10=-2y+10

Step-by-step explanation:

Answer:

Step-by-step explanation:

RTLM+x=36

Answer:

a. ¼

(Below is the Screenshot on EdgeCourseware)

1/4 must be added to the given expression to make it a perfect-square trinomial.

The given expression is x²+x.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Add 1/4 to the given expression, we get

x²+x+1/4

= x²+x+(1/2)²

= (x+1/2)²

Verification:

x²+2.x.1/2+1/4

= x²+x+1/4

Therefore, 1/4 must be added to the given expression to make it a perfect-square trinomial.

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Answer:

C'(2, 1 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of C by [tex]\frac{1}{3}[/tex] , that is

C(6, 3 ) → C'( [tex]\frac{1}{3}[/tex] (6), [tex]\frac{1}{3}[/tex] (3) ) → C'(2, 1 )

Answer:

.2

Step-by-step explanation:

do 1 divided into 5 in long division.

you will end up with .2

Answer:

1/5 = 0.2

U have to divide 5 ÷ 1...long division

Hope it helped u if yes mark me BRAINLIEST