Formule una propiedad algebraica basica del sistema de numeros reales para justificar cada uno de los siguientes enunciados, donde Y y Z representan numeros reales. a) (y + 2)z+3=(yz+2z)+3 b) (4+7)y=y(4+7) C) (1+4)+3=4+(1+3)

Answer:

Step-by-step explanation:

a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.

b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.

Answer:

Okay I got youuu

Step-by-step explanation:

From the point Z go 5 right and 3 units up (5,3), and label it Z'. Do this for L and X, too.

The final answer is Z'(2,3) X'(5,0) L'(3,-1)! Hope this helps!

Answer:

y=-x+pi/3+sqrt(3)/2

Step-by-step explanation:

*I assume you are asking for help on part a because the other question is a calculator question.*

We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.

First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)

Differentiate using chain rule:

y'=2cos(2x)

y' gives us the slope for any tangent along our curve.

So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.

We also need to know a point our line to find the equation of our line.

At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.

So a point on our line is (pi/3, sqrt(3)/2).

So by point-slope form of a line we have

y-y1=m(x-x1)

y-sqrt(3)/2=-1(x-pi/3)

Distribute:

y-sqrt(3)/2=-x+pi/3

Add sqrt(3)/2 on both sides:

y=-x+pi/3+sqrt(3)/2

Answer:

y= -x+(pi/3)+(sqrt3)/2

Step-by-step explanation:

The given is y=2sin(x)*cos(x)

to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get

y'=2(sin(x)*-sin(x)+cos(x)*cos(x))

this would simplify to be

y'=-2sin^2(x)+2cos^2(x)

We then substitute in the given x value to find the slope of the tangent line at that point and get

-2sin^2(pi/3)+2cos^2(pi/3)

which simplifies to

-2*3/4+2*1/4

which is -1

Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)

now we write the point slope form equation

y-(sqrt3)/2= -(x-pi/3)

y-(sqrt 3)/2 = -x+pi/3

y= -x+pi/3+(sqrt3)/2

you could simplify the last two terms, but I think it is simplest to understand this way.

For b, enter both equations into graphing software or a calculator

The correct answer is:   " [tex]\frac{33,611}{1,000}[/tex] " .

____________________

Step-by-step explanation:

Based on the assumption that the "1" repeats infinitely; in the given value:

  " 33.61111111 ...." ;

_______

Note that the "611" ; after the decimal point;  this goes to the "thousandths";  

place (is "3 (three) digits long.").

_______

As such; we rewrite the number as:

_______

" [tex]\frac{33.611}{1}[/tex] " ;  

and we multiply BOTH the "numerator" And the "denominator" by: "1000" :

_______

  →  " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;

to get:

  →  " [tex]\frac{33611}{1000}[/tex] " ;  →  which cannot be reduced any further.

_______

The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .

_______

Hope this is helpful to you!

 Wishing you the best!

_______

Answer:

D.

Step-by-step explanation:

Answer:

the shorter man

Step-by-step explanation:

224 cm minus 174.21 = 49.79

49.79/5.56= approximately 9 standard deviations from the mean.

174.21 minus 97.8= 76.41

76.41/5.56= approximately 14 standard deviations from the mean.

bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.

Answer:

[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x^2-8=0[/tex]

[tex]x^2=8[/tex]

[tex]\sqrt{x^2} = \sqrt{8}[/tex]

[tex]x=2\sqrt{2}[/tex]

plus or minus

Answer:

7/9

Step-by-step explanation:

2+5=7

Denominator stays the same 9

So it's 7/9

Answer:

You sure bout that this is the answer

Step-by-step explanation:

2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9

Answer:

Step-by-step explanation:

You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you

Answer:

See explanation

Step-by-step explanation:

If we have a polynomial in x with x as a factor, we know that there will be no constant term. This arises because every term will be a multiple of x, and thus there will be know constant term.

Because there is a constant term in our polynomial, namely 1, x is not a factor of [tex]2x^3-x^2-2x+1[/tex], as desired.

Answer: You divide using polynomial long division or synthetic division and if the remainder is 0 then it is a factor.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.

5*2 is 10, which means that 15*20 is 10 times greater than 3*10.

If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.

Answer:

5 sections

Step-by-step explanation:

5 yards of fabric is cut in 1 yard long

1 yard +1 yard +1 yard +1 yard +1 yard = 5 yards

5 sections

Answer:

C

Step-by-step explanation:

1/4 is .25

4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.

No of hamburgers she can make

[tex]\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{60}{2}[/tex]

[tex]\\ \sf\longmapsto 30[/tex]

Answer:

1,000 days

Step-by-step explanation:

6 tires per minute = 600 per hour

600 per hour times 10 hours = 6,000 per day

Divide 6,000,000 by 6,000 per day = 1000 days.

the difference in depth is 3 feet, you can find this by the equation 14-11

Answer:

2,887.50

Step-by-step explanation:

First changing percent to decimal 175% - 1.75

I = 550 × 1.75 × 3 = 2,887.50

Answer:

1.33

Step-by-step explanation:

Divide 3 by 3, making it one.  Now divide 4 by 3, making it 1.33.

Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.

Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width

Top Left Rectangles: Proportional

6.4 / 5.6 = 1.6 / 1.4

8.96 = 8.96

Top Right Rectangles: Not Proportional

10.2 / 6.2 = 5.2 / 1.2

32.24 does not equal 12.24

Bottom Left Rectangles: Proportional

39 / 27 = 13 / 9

351 = 351

Bottom Right Rectangles: Not Proportional

64 / 36 = 8 / 6

288 does not equal 384

Hope this helps!! :)

Answer:

Mandy is making a bouqet of flowers. She goes to

Answer:

possible flower combinations can she choose from?

Step-by-step explanation:

possible flower combinations can she choose from?

Answer:

-1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

(1,2)(4,1)

1-2 / 4-1

-1/3

Answer:

C

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

15 / 37.5 x 100 = 40

Answer:

.30times 28.99=$8.697

Answer:

45 girls

Step-by-step explanation:

There is 4 more boys than girls in each ratio.

60 boys / 4 = 15 groups where there is more boys

3 (girls) x 15 groups = 45 girls in total

Step-by-step explanation:

She earns $1046 that week

Answer:

The answer is 77848.1336

The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02

If the actual width of the caliper is represented as x

Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02

Learn more : https://brainly.com/question/15748955