Need this answer for this

Answer:

(3b-2a)^2=9b^2-12ab+4a^2

Step-by-step explanation:

Using the formula (a-b)^2=a^2-2ab-b^2, you can plug in the values to get your answer. (Sorry I can't really explain more, it's just using the formula. Hope this helps)

Answer:

Step-by-step explanation:

28350, two thousand and eight, three hundred and fifty

Answer:

28350

Step-by-step explanation:

Answer:

Associative property

Step-by-step explanation:

you can group factors in any order and the answer will be the same

Answer:

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

For any two real numbers, a and b ,only one property will hold for given two numbers.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

For any two real numbers, a and b

For real numbers according to the Law of Trichotomy,

if a = b then a will never be greater than b and a will never be less than a.

if a<b then a will never be equal to b and a will never be greater than b.

if a>b then a will never be less than b and a will never be equal to b.

And vice versa to b as well.

That means only one property will hold for given two numbers.

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Answer:

4.66666666667 to be exact

Step-by-step explanation:

divide 3 into 14

-NULL

Brainliest will be appreciated thank you!

Answer:

B) Danni walked farther than Wendi.

Step-by-step explanation:

a mile is 5,280 feet. 5,280 + 5280 = 10,560

Answer:

it would be 15 or 14 that only came up when I did it

Step-by-step explanation:

Answer:

x + 15 = 3 (x - 5)

William’s current age: 15. Years old

Step-by-step explanation:

x + 15 = 3(x-5)

x + 15 = 3x - 15

15 + 15 = 3x - x

30 = 2x

x = 15

Answer:

13;14;17;19;20;21;23;25

Step-by-step explanation:

this is so simple

4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard

Answer:

y = 5x -10

Step-by-step explanation:

The y-intercept is -10, as in, the line on the y-axis is at -10

The slope is 5, as in, the line is moving up 5 and right 1. So it should be 5/1x but you don't need the 1. You could use it, but you don't need to. Here's what it would look like if you did use it:

y = 5/1x - 10

Answer:

slope = 9 , y- intercept = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 9x - 3 ← is in slope- intercept form

with slope m = 9 and y- intercept c = - 3

Answer:

36 neutrons

Step-by-step explanation:

The ratio of the protons to neutrons is 5:6, or 5 protons/6 neutrons. You know there are 30 protons, so this means you can set up proportions. Keeping the protons on the top, 5 protons/6 neutrons = 30 protons/x neutrons. You can cross-multiply from here, but how I find it helpful to think of it is seeing that you have to multiply 5 protons by 6 to get to 30 protons, so you'd have to also multiply the 6 neutrons by 6 to get x neutrons. Doing so (6x6) will get you 36. Don't forget your units! (:

Answer:

242$ in grocery store and 210$ in nursery

Step-by-step explanation:

Answer:

in 2019, $36 465.19

in 2021, $40 202.87

Step-by-step explanation:

2015 is $30 000 per year

if it is increased by 5% every year

then,

in 2019, her salary will be $30 000 x (1.05)^4 = $36 465.19

in 2021, her salary will be $30 000 x (1.05)^6 = $40 202.87

Answer:

15m long

Step-by-step explanation:

Answer:

d=45t

Step-by-step explanation:

Plug 1 in for t

d=45(1)

d=45

so after one hour, the train travels 45 miles

Answer:

8:24

8/24

3#

Step-by-step explanation:

mark as a brainlist

Answer:

8 : 24 = 1 : 3

Step-by-step explanation:

The ratio is not in lowest terms so we found an equivalent ratio by simplifying

We can simplify the ratio 8 : 24 by dividing both terms by the greatest common factor (GCF).

The GCF of 8 and 24 is 8.

Divide both terms by 8.

8 ÷ 8 = 1

24 ÷ 8 = 3

Therefore:

8 : 24 = 1 : 3

Answer:

1. x=6

2. x = -4

3. x³ = 0

Step-by-step explanation:

Step 1: Equation at the end of step 1

((x⁵) - ( 2 · (x⁴)))-(2³· 3x³) = 0

Step 2:

Equation at the end of step 2:

((x⁵)-2x⁴)-(2³ · 3x³) = 0

Step 3: X

Step 4: Pulling out like terms

Pull out like factors :

x⁵ - 2x⁴ -24x³ = x³· (x² - 2x -24)

Trying to factor by splitting the middle term

Factoring  x² -2x - 24

The first term is, x² ts coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  -24  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -2 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  4

 x2 - 6x + 4x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x-6)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x-6)

            Which is the desired factorization

Equation at the end of step

4

:

 x3 • (x + 4) • (x - 6)  = 0  

STEP

5

:

Theory - Roots of a product

5.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

5.2      Solve  :    x3 = 0  

 Solution is  x3 = 0

Solving a Single Variable Equation:

5.3      Solve  :    x+4 = 0  

Subtract  4  from both sides of the equation :  

                     x = -4

Solving a Single Variable Equation:

5.4      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

Supplement : Solving Quadratic Equation Directly

Solving    x2-2x-24  = 0   directly  

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

6.1      Find the Vertex of   y = x2-2x-24

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   1.0000  

Plugging into the parabola formula   1.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 24.0

or   y = -25.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-2x-24

Axis of Symmetry (dashed)  {x}={ 1.00}  

Vertex at  {x,y} = { 1.00,-25.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-4.00, 0.00}  

Root 2 at  {x,y} = { 6.00, 0.00}  

Solve Quadratic Equation by Completing The Square

6.2     Solving   x2-2x-24 = 0 by Completing The Square .

Add  24  to both side of the equation :

  x2-2x = 24

Now the clever bit: Take the coefficient of  x , which is  2 , divide by two, giving  1 , and finally square it giving  1  

Add  1  to both sides of the equation :

 On the right hand side we have :

  24  +  1    or,  (24/1)+(1/1)  

 The common denominator of the two fractions is  1   Adding  (24/1)+(1/1)  gives  25/1  

 So adding to both sides we finally get :

  x2-2x+1 = 25

Adding  1  has completed the left hand side into a perfect square :

  x2-2x+1  =

  (x-1) • (x-1)  =

 (x-1)2

Things which are equal to the same thing are also equal to one another. Since

  x2-2x+1 = 25 and

  x2-2x+1 = (x-1)2

then, according to the law of transitivity,

  (x-1)2 = 25

We'll refer to this Equation as  Eq. #6.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-1)2   is

  (x-1)2/2 =

 (x-1)1 =

  x-1

Now, applying the Square Root Principle to  Eq. #6.2.1  we get:

  x-1 = √ 25

Add  1  to both sides to obtain:

  x = 1 + √ 25

Three solutions were found :

x = 6

x = -4

x3 = 0

Answer: it’s just 2.89 there’s nothing else to it

Answer:

To solve this, make d the subject from the eqn.

[tex]b = - \frac{1}{c} da[/tex]

[tex]d = - \frac{cb}{a} [/tex]

If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.

Let "x" represent the width of his drawing in millimeters.

The proportion can be set up as follows:

1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)

Now, cross-multiply and solve for "x":

1 * 63 m = 3 * x mm

63 = 3x

Divide both sides by 3 to find the width of his drawing:

x = 63 / 3

x = 21

So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.

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Answer:

Step-by-step explanation:

Given:

Comparing the total cost, work out the value of x:

Answer:

Step-by-step explanation:

Salary increase in 2 years = Salary in fifth year - salary in 3rd year

    = 87,023 -  43,250

     = $ 43,773

Salary increase per year= 43773/2 = $ 21,886.50

Answer:

275?

Step-by-step explanation:

I just divided it.. 825÷3

Answer:

The correct answer is 275 seats

Step-by-step explanation:

Since its 3 FULL theaters then we are gonna divide the number of tickets by the number of theaters which is 825÷3.

Do the math (or use a calculator) and your left with 275.

Hope this helps!

Answer:

the city bus would cover 6 miles in 10 minutes.

Step-by-step explanation:

18 miles = 30 minutes

? miles = 10 minutes

cross multiply

? x 30 = 18 x 10 (180)

? = 180/30

? = 6

the city bus would cover 6 miles in 10 minutes.

Answer:

option D is correct

x=O and x=-8

Answer:

Most likely a B.

Step-by-step explanation:

This depends on how much the test was of your grade.