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3 years ago

Show (prove) in detail why (xyz)4 =x4 y4 z4 for any number x,y,z

1 answer:

7 0

By using distributive property you can distribute (XYZ)4 and get a simplified answer of 4(x)+ 4(y) + 4 (z). The parenthesis show that 4(xyz) is not simplified and could also be written as 4(x)+ 4(y) + 4 (z).

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A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

ra1l [238]

Answer:

x + y=24

x=24-y = 3x+5y=100

3(24-y)+5y=100

72-3y+5y=100

72+2y=100

2y=28

y=14, since x=24-y

x=10

So there are 10 3-point questions and 14 5-point questions.

8 0

2 years ago

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You bought a pair of jeans for $11.25 that was originally $45.00. In terms of percent, what discount did you get on the shirt?

icang [17]

Answer:

45/11.25 is 4.

4*25=100

This tells us that the jeans are discounted at 75%.

7 0

2 years ago

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The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason

aev [14]

Answer:

Equation 2 of system divided by 2 on both sides then we get second equation of system 2.

Step-by-step explanation:

We are given two equations

$2x+2y=14$

$-4x+6y=12$

We are given a proof which shows an equivalent system of equations created from another system of equations

We have to fill the correct reason in the blank space

Statement: $2x=2y=14$

$-4x+6y=12$

Reason: Given

Statement : $2x=2y=14$

$-2x+3y=6$

Reason : equation 2 of system I divided by 2 on both sides then we get second equation of system 2.

When we divide by 2 then the solution does not change and x and y - intercepts are not change.So, the two systems are equivalent.

3 0

2 years ago

Find the corresponding angles, alternate interior angles, and alternate exterior angles .

yan [13]

Answer:

Step By Step Explanation:

6X8=48

5X7=35

1X3=3

2X4=8

48+35+3+8= 94

48+35=83

3+8=11

83+11=94

8 0

3 years ago

Which system of inequalities is represented by the graph?

Dahasolnce [82]

Answer:

$y\leq 2x+4$

$y\geq -x-6$

Step-by-step explanation:

step 1

Find the equation of the solid line with positive slope

we have the points

(0,4) and (-2,0)

Find the slope

$m=(0-4)/(-2-0)=2$

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=2\\b=4$

substitute

$y=2x+4$

step 2

Find the equation of the inequality with positive slope

we know that

The solution of the inequality, is the shaded area below the solid line

The equation of the inequality is

$y\leq 2x+4$ ----> inequality A

step 3

Find the equation of the line with negative slope

we have the points

(-6,0) and (-4,-2)

Find the slope

$m=(-2-0)/(-4+6)=-1$

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=2\\point\ (-6,0)$

substitute

$0=-(-6)+b$

solve for b

$0=6+b$

$b=-6$

The linear equation is

$y=-x-6$

step 4

Find the equation of the inequality with negative slope

we know that

The solution of the inequality, is the shaded area above the solid line

The equation of the inequality is

$y\geq -x-6$ ----> inequality B

therefore

The system of inequalities is

$y\leq 2x+4$ ----> inequality A

$y\geq -x-6$ ----> inequality B

7 0

3 years ago