Solve for x. Show each step of the solution 4.5 ( 8 - x ) + 36 = 102 - 2.5 ( 3x + 24)​

The difference between the longest and shortest light bulb lifetime was five years is correct interpretation so option (B) will be correct.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

In other meaning, standard deviation shows the deviation of the value of data from the mean.

Standard deviation is how much-given data is deviate from the mean of it.

So the difference between the longest to shortest gives an idea about this deviation.

Hence "The difference between the longest and shortest light bulb lifetime was five years is a correct interpretation".

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Answer:

D

Step-by-step explanation:

Slope

All answers agree that the slope = - 3

y intercept

So far what you know is that the line is

y = -3x + b

The point shows that

5 = -3*2 + b                    Combine right

5 = -6 + b                        Add 6 to both sides

5 + 6 = -6+6 + b             Combine

11 = b

So the y intercept = 11

Answer: y = -3x + 11              D

Answer:

24% finished, 76% did not

Step-by-step explanation:

12cars/50 total +24%, and then just subtract 100% by the 24 to get 76% for the remaining percent

Answer:

24% finished and 76% did not

Step-by-step explanation:

you have the ratios:

12/50 and 38/50

These have to be turned into percentages so they need to have a denominator of 100

to do this, figure out what you have to multiply the denominator by to get 100

In this case, 50 times 2 is equivalent to 100.

Then, whatever you multiplied the denominator by, you multiply the numerator by

In this case, 12 times 2 is 24 and 38 times 2 is 76

Once you have the end products, take the numerator and add a percentage sign to it

Chat me if you have anymore questions

Answer:

  1/5

Step-by-step explanation:

When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.

  k(10, -15) = (2, -3)

  k = 2/10 = -3/-15 = 1/5

The scale factor of the dilation is 1/5.

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of [tex]y -a = m(x -b)[/tex] where [tex](b,a)[/tex] is the coordinates of a point that's on the line and [tex]m[/tex] is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose [tex](-3,7)[/tex] where [tex]a = 7[/tex] and [tex]b = -3[/tex]

[tex]y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)[/tex]

The next thing we have to do now is finding the slope, [tex]m[/tex], where it's equal to [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\[/tex]. I'll make [tex](-3,7)[/tex] point 1 and [tex](3,3)[/tex] point 2.

[tex]m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}[/tex]

Now let's plug that to our equation.

[tex]y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)[/tex]

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

[tex]y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5[/tex]

[tex]y = -\frac{2}{3}x +5\\[/tex] is your equation.

Given parameters:

Distance traveled  = 1778miles

Average speed  = 61.7 miles per hour

Unknown:

Time taken for the travel = ?

Speed is a physical quantity. It is the rate of change of distance with time.

 It can be mathematically expressed as;

           Speed  = [tex]\frac{distance}{time taken}[/tex]

  The unknown here is the time taken;

   Substitute the parameters and solve for it;

      61.7  = [tex]\frac{1778}{ time taken}[/tex]

          time taken  = [tex]\frac{1778}{61.7}[/tex]   = 28.8hrs

The time taken is  28.8hrs

Answer:

the answer for this would be 30 hours.

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

If we set up the equation with the known info, we get y=3x+b

We can then use the ordered pair to plug in, so 8=12+b

Now, simply solve for B, and you get -4

Answer:

Largest: 800,499

Smallest: 799,500

The required largest number is 8,00, 499 and the smallest number is 7,99, 500.

Given that,
800,000 rounded to the nearest hundred thousand.
To determined the largest and smallest number.

What is rounding of values?

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
Any number range -500 and + 499 to 8,00,000 will be the smallest and largest number that could be rounded to 8,00,000.

smallest number  = 8,00,000 - 500 = 7, 99, 500

largest number = 8,00,000 + 499 = 8,00,499

Thus, the required largest number is 8,00, 499 and the smallest number is 7,99, 500.

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okay so the 2x+6 is the red line

x<12 is the purple region

-3/4x+8 is the blue line

x is greater than or equal to 12 is black

the second picture shows when 8 ≤ x ≤ 16

in the second photo it shows the region where 8≤x≤12 which is the red shaded part

Given parameters:

  Equation:

          (x-4)²=9

Problem, solve the equation by factoring and extracting the root

Solution:

    Given equation:

                  (x-4)²=9

         subtract 9 from both sides to equate to zero;

                (x-4)² - 9 = 0

                (x -4)² - 3² = 0

  Now, this is similar to the concept of difference of two squares;

          x² - y² = (x + y)(x-y)

Here x  = x-4 and y = -3

  So input and solve;

              (x - 4 -3)(x - 4 -(-3)) = 0

              (x - 7)(x - 4+3) = 0

              (x -7)(x -1) = 0

S0,

             x - 7 = 0 or x-1 = 0

             x = 7 or 1

If we extract the square roots;

          (x-4)² = 9

         √(x-4)² = √9

              x - 4 = 3

              x  = 4 + 3 = 7; this is not the only solution to the problem

So we cannot solve it by extracting the square root.

The solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root. The equation can only be solved by factoring

Given the expression;

(x-4)²=9

This expression can be solved by factoring

Factoring the expression on the left hand side

(x-4)(x-4)=9

x²-4x-4x+16 = 9

x² - 8x + 16 - 9 = 0

x² - 8x + 7 = 0

x² -x - 7x + 7 = 0

x(x-1) -7(x-1) = 0

x-7 = 0 and x - 1 = 0

x = 7 and 1

This shows that the expression can be solved by factoring

The other way is by squaring both sides

(√x-4)² = ±√9

x - 4 =±√9

x = -9+4 and x = 9 + 4

x = -5 and 13

Since the solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root

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Answer:

Addition Property Of Equality

Step-by-step explanation:

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

Step 1: -5x = -4x -15

Step 2: -x = -15

Answer:

the addition property of equality

Step-by-step explanation:

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

Answer:

a is 75.00 b is 12 meters above c is credit of 23.00

Step-by-step explanation:

Answer:

y=x3

Step-by-step explanation:

x=time minutes

y= texts

i hope i'm correct

plz mark brainliest

Answer:

a and e

Step-by-step explanation:

Answer:

A, D, and E

Step-by-step explanation:

Answer:

You can demonstrate some of the exercises that your trainer taught you

Step-by-step explanation:

The rest of the options are too formal.

You can demonstrate some of the exercises that your trainer taught you. The correct option is C.

Persuasive communications include a variety of attributes designed to increase persuasions, such as an appealing source, a message with convincing arguments, or efforts to make the topic seem personally relevant to the audience.

You can prove to your friend that you have been working with a trainer at the gym by demonstrating some of the exercises that your trainer taught you.

Therefore, you can demonstrate some of the exercises taught to you by your trainer. C is the correct answer.

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Answer:

The length of the drawing is 10 centimeters and the width is 6 centimeters.

Step-by-step explanation:

500/50= 10 1*10=10 so the length is 10

300/50=6 1*6=6 so the width is 6.

1415236 IDC DCCDSDSDCSDCSDC

The answer is 135

1+3+5=9(9 is a multiple of 3. To know if something is divisble by 3, you must add it and if it is a multipe of 3 it is divisble of 30

135 end with 5( If a number ends with 0 or 5 it is divible by 5)

Hope my explanation helps!

Step-by-step explanation:

the answer is C

2/5(2x+3)

I hope it helps

Answer:

No

The sides of the triangle do not satisfy the Pythagorean Theorem.

Step-by-step explanation:

If we are given the three sides to a triangle, and we are asked to find out if it is a right triangle, we will have to see if the sides of the triangle satisfies the Pythagorean Theorem. The Pythagorean Theorem is:

a² + b² = c²

where c is the hypotenuse and a and b are the other two sides.

So we can see from the image that 28 would be the length of the "hypotenuse" and 19 and 20 would be the lengths of the other two sides. Lets see if these values satisfy the Pythagorean Theorem:

19² + 20² = 28²

361 + 400 = 784

761 ≠ 784

So no, the triangle is not a right triangle because the sides does not satisfy the Pythagorean Theorem.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: 8

Step-by-step explanation: if you count the angels and the sides then you'll get the answer 8..

Answer:

2.a)  3 ( x - 1 ) = 5x - 6 (Because the sides of a square are always equal)

b) 3 ( x - 1 ) = 5x - 6

    => 3x - 3 = 5x - 6

    => 3x - 5x = -6 + 3 (Law of transposition)

    => -2x = -3

    => -x = -3/2

    => -x = -1.5

    => x = 1.5 (By cancelling out the negative sign from both the sides)

c)  3(x-1) = 3 (1.5 - 1)

    => 3 (0.5)

    => 3 * 0.5 = 1.5

Both the angles are 1.5 because they are equal

If my answer helped, please mark me as the brainliest!!

Thank You!

Answer:

[tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex]  → (a)

Step-by-step explanation:

We need to evaluate g(n - 7), where

Replace x by (n - 7) to evaluate it

∵ x = (n - 7)

∴ [tex]g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}[/tex]

→ Let us find (n - 7)²

∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)

∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49

∴ (n - 7)² = n² - 14n + 49

→ Find 7(n - 7)

∵ 7(n - 7) = 7(n) - 7(7)

∴ 7(n - 7) = 7n - 49

→ Now let us write then in the form above

∵ [tex]g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}[/tex]

→ Add the like terms in the numerator

∴  [tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex]

The correct answer is (a)

Answer:

46;&74)474:&48&4:&48&

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.