X^3+48x-64-12x^2/x^2+16-8x

Step-by-step explanation:

14.2a + 9.8b -13.1b + 0.2a - 3.7a -4.8b

= 14.2a + 0.2a -3.7a + 9.8b -13.1b -4.8b

= .......a + or - ....... b

The simplified form of the given expression is 10.7a-8.1b.

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

The given expression is (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b).

Now, 14.2a+9.8b-13.1b+0.2a-3.7a-4.8b

Group like terms, that is

(14.2a+0.2a-3.7a)+(9.8b-13.1b-4.8b)

= 10.7a+(-8.1b)

= 10.7a-8.1b

Therefore, the simplified form of the given expression is 10.7a-8.1b.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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Answer:

y = -3x -9

Step-by-step explanation:

slope = 1/3

perpendicular slope = -3

y = mx + b

0 = -3(-3) + b

-9 = b

y = -3x -9

Answer:

y = -3x-9

Step-by-step explanation:

2x - 6y = 12

Solving for y we get

-6y = -2x+12

y = 1/3x -2

The slope is 1/3

Perpendicular lines have slopes that multiply to -1

m * 1/3 = -1

Multiply each side by 3

m * 1/3 * 3 = -1 *3

m = -3

The perpendicular line has a slope of -3

Using the slope intercept form

y = mx+b

y = -3x +b

And the point (-3,0) is substituted into the equation

0 = -3(-3) +b

0 = 9+b

B = -9

y = -3x-9

Step-by-step explanation:

Simply you replace X and Y by their values

Given: x=-1 y=-4

10 - (-X)^3 + y^2

=10 + X^3 + Y^2

Now replace X and Y

=10 + (-1)^3 + (-4)^2

=10 - 1 + 16

= 25

Answer:

centre=(0,3) radius =5

Step-by-step explanation:

Answer:

6 and 14

Step-by-step explanation:

The numbers are in the ratio 3 : 7 = 3x : 7x (x is a multiplier )

adding 1 to smaller number is 3x + 1 and 7 to the larger is 7x + 7, then

3x + 1 : 7x + 7 = 1 : 3

Expressing the ratio in fractional form

[tex]\frac{3x+1}{7x+7}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3(3x + 1) = 7x + 7

9x + 3 = 7x + 7 ( subtract 7x from both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the numbers are

3x = 3(2) = 6

7x = 7(2) = 14

Answer:

Side F G and Side I H

Step-by-step explanation:

No picture attached but from the description, we got:

Trapezoid F G H I

F G ║I H  

Which sides of the trapezoid are parallel?

Answer:

the top answer is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

The third step's reason is given.  Then you must make <QRP and <SRT congruent because all right angles are congruent.  Then you have two angles in each triangle congruent and can thus prove the triangles congruent by AA.

Answer:

See below.

Step-by-step explanation:

Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.

For example:

Try (2, 3):

2x + 3y = 10

2(2) + 3(3) = 10

4 + 9 = 10

13 = 10

Since 13 = 10 is a false statement, (2, 3) is not a solution.

Try (2, 2):

2x + 3y = 10

2(2) + 3(2) = 10

4 + 6 = 10

10 = 10

Since 10 = 10 is a true statement, (2, 2) is a solution.

Answer:

The answer is given below

Step-by-step explanation:

A) Integers are whole numbers (without fraction) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}

B)  Since the elements in set T = {2, 3}, then the number of elements in set T = 2

C) The subsets of set T are {}, {2}, {3} and {2,3}

D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}

An improper subset of set T contains all the element of set T and a null element. The improper subset of set T are {2,3} and {}

Answer:

98

Step-by-step explanation:

3 bed house= 33 rooms

4 bed house 40 rooms

4 bed house 25 rooms

each house is worth 2 houses. so u double everything

hope I got it right

Answer: 4

Step-by-step explanation:

numerator - denominator

Numerator: w¹³           Denominator: w⁸ · w¹

                   13      -                             (8 + 1)

13 - 9 = 4

Answer:

The slope is  [tex]s =[/tex] $0.1774 / pounds

Step-by-step explanation:

From the question we are told that

   The weight of the rat is [tex]w_1 = 3.5 \ pound[/tex]

     The cost of feeding the rat per week is [tex]c_1 =[/tex]$4.50

     The weight of a Beagle is  [tex]w_2 = 30 \ pound[/tex]

     The cost of feed a Beagle per week is  [tex]c_2 =[/tex]$9.20

Now the slope can be evaluated mathematically as

           [tex]s = \frac{c_2 -c_1 }{w_2 -w_1 }[/tex]

substituting values

            [tex]s = \frac{9.20 -4.50 }{30 -3.5 }[/tex]

           [tex]s =[/tex] $0.1774 / pounds

Answer:

a. 15 meters.

b. 20 meters.

Step-by-step explanation:

a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.

The ball will be 15 meters high.

b. The maximum height reached by the ball.

To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.

In this case, a = -5 and b = 20.

-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.

Then, we find the y-coordinate by putting 2 where it says "t".

h(2) =  20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.

Hope this helps!

Answer:

pen

Step-by-step explanation:

Answer:

The expected value for the insurance company is $200

Step-by-step explanation:

In order to calculate the expected value for the insurance company we would have to make the following calculation:

expected value for the insurance company=expected value live+expected value die

expected value live=Net gain*probability of living

expected value live=$300*0.999=$299.70

expected value die=Net gain*probability of die

expected value die=(-$100,000 + $300)*0.001

expected value die=$-99.70

Therefore, expected value for the insurance company=$299.70-$99.70

expected value for the insurance company=$200

The expected value for the insurance company is $200

Answer: about 17.7%

Step-by-step explanation:

The area of a trapezoid is ((b1+b2)/2)*h

Thus, the area of the trapezoid is 85 meters squared.  Thus, because the garden is 480 meters squared, the trapezoid occupies 85/480 of the garden, or about 17.7 percent.

Hope it helps <3

Answer:

17.7% rounded to the nearest tenth

Step-by-step explanation:

Well to find the percent of space the trapezoid takes up we need to find both areas.

To find the area of a Rectangle we do l*w.

So the l is 30 and the w is 16 so,

30*15 = 480m^2

To find the area of a Trapezoid [tex]\frac{b1 + b2}{2}h[/tex].

So b1 is 20 and b2 is 14,

14 + 20 = 34

34/2 = 17

17 * h

17 * (5) = 85m^2

So now we make a fraction of the areas of the trapezoid and rectangle,

[tex]\frac{85}{480}[/tex]

Now we simplify,

85/5 = 17

480/5 = 96

So 17/96 is in its simplest form so now we do 17/96 which is 0.1770833333

So to the following into a percent we move the decimal places 2 places to the right which is about 17.7% rounded to the nearest tenth.

Answer:

The answer is y=1x+2

Step-by-step explanation:

Simply count up on both sides. Then take the number of increases between each y value and place it on top of the increase of the x value. Divide. To find the y-intercept, or "b", take the constant of the y and count back until the x is zero. For example, since the chart is consistently going up by 1s on each side, take the first "y" value, 3, and count one back to zero on the x. It is two.

Answer:

y=1x+2

Explanation:

You use the equation y=mx+b.

Here is how I got my answer

step 1: Find the slope by finding the change in y values and x values

  x  y

  1  3

  2 4

  3 5

  4 6

  5 7

X=+1

Y=+1      you do the change of y over the change of x and get 1/1=1

So far in the equation now you have y=1x+b

Step 2:Solve for the b value by substituting the y and x variable with a value from the table

x y              y=1x+b

1 3               3=1(1)+b-->3=1+b-->3-1=b+1-1-->2=b  

2 4              

3 5

4 6

5 7

Step 3: Plug in all the numbers you got into the equation y=mx+b

y=1x+2

Answer:

The equation of the line is

[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

Equation of a line is

[tex]y = mx + c[/tex]

Where m is the slope

c is the y intercept

y = 2x + 3

Comparing with the above formula

m is 2

Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .

That's

m = - 1/2

Equation of the line using point (1,2) and slope - 1/2 is

y - 2 = -1/2(x - 1)

y - 2 = -1/2x + 1/2

y = -1/2x + 1/2 + 2

The final answer is

[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]

Hope this helps you.

Answer:

x^2-4x+y^2+6y-108=0

Step-by-step explanation:

[tex]The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0[/tex]

Answer:

D

Step-by-step explanation:

Just take x and replace it by 0 to see if you get 12

you will get 11.93 wich is close to 12

A regression can either be linear, nonlinear or no relationship at all

The equation of the quadratic regression is [tex]y = -0.89x^2 +3.24x +11.93[/tex]

To determine the equation of the quadratic regression, we make use of a graphing calculator.

From the graphing calculator, we have the following calculator summary

A quadratic regression equation is represented as

[tex]y = ax^2 + bx + c[/tex]

So, we have:

[tex]y = -0.89x^2 +3.24x +11.93[/tex]

Hence, the equation of the quadratic regression is [tex]y = -0.89x^2 +3.24x +11.93[/tex]

Read more about regression equations at:

https://brainly.com/question/732489

Responda:

Explicação passo a passo:

Dê = n a equação 5x + 5 = 4x - 2, para mostrar que x = -7 é a solução, as seguintes etapas devem ser seguidas.

Etapa 1: Subtraia 5 de ambos os lados da equação

5x + 5 - 5 = 4x - 2 - 5

5x = 4x - 7

Etapa 2: Subtraia 4x de ambos os lados da equação resultante

5x = 4x - 7

5x - 4x = 4x - 7 - 4x

x = -7

Isso prova que a solução é x = -7

b) Para mostrar que 5 não é a solução, substituiremos x = 5 em ambos os lados da equação e verificaremos se são iguais ou não. Se eles não são iguais, significa que 5 não é uma solução.

Para o lado direito da equação, ou seja, 5x + 5

f (5) = 5 (5) + 5

f (5) = 25 + 5

f (5) = 30

Para o lado esquerdo da equação, ou seja, 4x-2

f (5) = 4 (5) - 2

f (5) = 20-2

f (5) = 18

Como os dois valores não são os mesmos, [tex]30\neq 18[/tex] ou seja, isso mostra que 5 não é uma solução

Answer:

Option (C)

Step-by-step explanation:

We will apply the rules of transformations in this question.

Parent function of the given line in the graph is,

f(x) = mx

If the function is f'(x) = -mx

Then the line will be inverted of reflected across the x-axis.

If the function is g(x) = -mx - b

Then the line representing function g(x) = -mx will be shifted b units downwards, similar to the graph given in Option (C).

Answer:

complementary

b = 45 deg

Step-by-step explanation:

Angles b and 45-deg are complementary since their measures ad to 90 deg.

45 + b = 90

b = 45

Answer:

Complementary

45°

Step-by-step explanation:

b + 45° = 90°

b = 90° - 45°

b = 45°

Answer:

length = 10 cm; width = 25 cm

Step-by-step explanation:

Let's call the length 2x and the width 5x. Since perimeter can be calculated by multiplying the sum of the length and width by 2 we can write:

2 * (2x + 5x) = 70

2 * (7x) = 70

7x = 35

x = 5 which means the length is 2 * 5 = 10 and the width is 5 * 5 = 25.

Answer:

2783 pounds

Step-by-step explanation:

He has got 2300. The factor by which that is multiplied is 1,1 (+10%).

The time given is 2 years. We will calculate it by using equation:

[tex]2300*1.1^{2}[/tex]

2783

Answer:

Its the first answer!

Step-by-step explanation:

1/25, 1/5, 1 trust me on this one! sorry im a bit late!  

Answer:

Radius of sphere is 3 units.

Step-by-step explanation:

Volume of sphere is given by [tex]4/3 \pi r^3[/tex]

surface area of sphere is given by [tex]4 \pi r^2[/tex]

where r is the radius of the sphere.

Given that

The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.

we equate formula of Volume of sphere  and surface area of sphere

assuming r as the radius.

thus,

[tex]4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3[/tex]

Thus, radius of sphere is 3 units.

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

Remove the brackets

That's

9m + 3n - 11 + m + 4n - 3

Group like terms

9m + m + 3n + 4n - 11 - 3

The final answer is

Hope this helps you

Answer:

The value of q/p = 144

Step-by-step explanation:

Number of cards in the box = 40

Each bearing a number: 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10

Each number appears 4 times cards in total

p = the probability that all four cards bear the same number.

q = the probability that three of the cards bear a number 'a' and the other bears a number 'b' that is not equal to 'a'.

The cards were chosen without replacement.

For Probability without replacement, the total number of items decrease after each pick. When considering same items, the number of the same item also decrease after each pick.

a) In this question, the order of the 4 cards picked is irrelevant.

Pr (4 same cards) = p = 4/40 × 3/39 × 2/38 × 1/37

p = 24/2193360 = 1/91390

Pr (3same cards and 1 different card) = q

Probability of picking 'a' card = 4/40

Probability of picking other cards aside 'a' = Probability of not picking 'a' card

= 36/40

Since we were not told what the particular number of the other number is, it would be any of the remaining 36 numbers.

b) In this question, we would consider the order of the 4 cards picked.

q = Pr(baaa) + Pr(abaa) + Pr(aaba) + Pr(aaab)

Without replacement

q = (36/40 × 4/39 × 3/38 × 2/37) + (4/40 × 36/39 × 3/38 × 2/37) + (4/40 × 3/39 × 36/38 × 2/37) + (4/40 × 3/39 × 2/38 × 36/37)

q = 4[(36×24)/2193360]

q= 144(24)/2193360 = 144(24/2193360)

q= 144(1/91390) = 144/91390

The value of q/p = (144/91390)/(1/91390)

The value of q/p = (144/91390) × (91390/1)

The value of q/p = 144

Answer:

candle burns down 1 cm per hour

Step-by-step explanation:

I believe that since the slope is -1, the steepness would be going downward. This means the candle would burn down.

Answer:

D.

Step-by-step explanation:

candle burns down 1 cm per hour