find the solution to the following equation

3X+5X/x+2=5x

Answer:

[tex]2:1[/tex]

Step-by-step explanation:

[tex]a:b\\---\\\ 2b:b\\2:1[/tex]

Complete Question

Find the general expression for the slope of a line tangent to the curve of y=2x^2+4x at the point P(x,y) . Then find the slopes for [tex] x = 3[/tex] and x=0.5. Sketch the curve and the tangent lines. What is the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) ​?

Answer:

The  generally expression for the slope of [tex]y = 2x^2 + 4x[/tex] is  [tex]y' = 4x +4[/tex]

The graph is shown on the first uploaded image

The  generally expression for the slope of [tex]y=2x^2+4[/tex] is   [tex]y' = 4x[/tex]

Step-by-step explanation:

From the question we are told that

  The  equation of the curve is [tex]y = 2x^2 + 4x[/tex]

First we differentiate the equation

So  

     [tex]y' = 4x +4[/tex]

Therefore the generally expression for the slope tangent to the curve [tex]y=2x^2+4x[/tex] is   [tex]y' = 4x +4[/tex]

The  next step is to substitute for x =  3 and  x =  0.5

So  for [tex]x_1 = 3 [/tex]

    [tex]y' = 4(3) +4[/tex]

     [tex]y' =m_1= 16[/tex]

And  for  [tex]x_2 = 0.5[/tex]

      [tex]y' = 4(0.5) +4[/tex]

       [tex]y' =m_2= 6[/tex]

Here m_1  and  m_2 are slops of the curve

Next we obtain the coordinates of the tangent lines

So  at [tex]x_1 = 3 [/tex]

   [tex]y_1 = 2(3)^2 + 4(3)[/tex]

  [tex]y_1 = 21[/tex]

So the coordinate for the first tangent line is  

    [tex](x_1 , y_1 ) = (3 , 21)[/tex]

At  [tex]x_2 = 0.5 [/tex]      

    [tex]y_2 = 2(0.5)^2 + 4(0.5)[/tex]

=>  [tex]y_2 = 2.5[/tex]

So the coordinate for the second  tangent line is  

    [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex]

Next we obtain the equation for the tangent lines

 So generally the slope is mathematically represented as

        [tex]m = \frac{y - y_1 }{x-x_1}[/tex]

For   [tex](x_1 , y_1 ) = (-3 , 21)[/tex] and  [tex]y' =m_1= 16[/tex]

       [tex] 16 = \frac{y -21 }{x-3)}[/tex]

=>    [tex]y = 16x - 27[/tex]

For  [tex](x_2 , y_2 ) = (0.5 , 2.5)[/tex] and  [tex]y' =m_2= 6[/tex]

       [tex] 6 = \frac{y -2.5 }{x-0.5}[/tex]

       [tex]y = 6x -0.5[/tex]

Generally the general expression for the slope of a line tangent to the curve of the function y=2x^2+4 at the point P(x,y) is mathematically evaluated by differentiating  y=2x^2+4 as follows

     [tex]y' = 4x[/tex]

Answer:

a negative quotient.

Answer:

Square root of 2: No

Square root of 3: Yes

Square root of 5: Yes

Square root of 6: No

Step-by-step explanation: Verified by RSM

Answer:

$300

Step-by-step explanation:

1 month =4 weeks

1 week=22 hrs

2 week= 25 hrs

3 week = 14 hrs

4 week = 19 hrs

Total of hrs in the month is 80 hrs

80 hrs = $960

25 hrs = ?

960×25÷80=300

Answer =$ 300

Answer: y=2x+1

Step-by-step explanation:

To solve for y, we want to use our algebraic properties to isolate y.

16x+9=9y-2x               [add both sides by 2x]

18x+9=9y                     [divide both sides by 9, divide to each term]

2x+1=y

Now, we know that y=2x+1.

Answer:

no thx and thx for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠6 = 45     {Vertically opposite angles are equal}

∠6 + 5x + 35 = 180  {Co interior angles}

45 + 5x + 35 = 180  {add like terms}

80 + 5x = 180

5x = 180 - 80

5x = 100

x = 100/5

x = 20

5x + 35 =  5*20 + 35 = 100 + 35 = 135

∠8 = 5x + 35   { Corresponding angles}

3) ∠8 = 135

4) ∠ 3 = ∠6    {Alternate interior angles are equal}

∠3 = 45

5) ∠6 = 45

Answer:

C. 7 inches I hope this helps

Answer: No, it is not possible

Why not? Because of the phrasing "share an arm AB". If two angles share a common line, segment or ray, then they are considered adjacent angles by definition. You can think of two rooms sharing the same wall. Those rooms are adjacent. So we cannot have nonadjacent angles sharing the same arm AB.

Answer:

.2

Step-by-step explanation:

15 /75

Divide the top and bottom by 15

1/5

Changing to decimal form

1/5 * 2/2 = 2/10

.2

Answer:

✓ The data for store 1 shows greater variability.

✓ The mean of the data for store 1 is greater than the mean of the data for store 2.

Answer:

38.6

Step-by-step explanation:

Answer: A.) 4

Step-by-step explanation:

Given the following:

Horizontal line y = 5

Point (6, 9)

Distance between point (6, 9) and horizontal line y = 5

For point (6,9) ; x1 = 6, y1 = 9

Horizontal line : y = 5

Hence, distance between the two points will be the difference between the the y values :

y1 - y = 9 - 5 = 4

Hence, the distance between a point (6, 9) and a horizontal line at y = 5 is 4

Step-by-step explanation:

use algabraic expreshens it will help trust me

Answer:i think the answer is A(x/.ly/

Step-by-step explanation:

Answer:

  D.  x - y > 0

Step-by-step explanation:

Given:

  x > y

Solution:

  x - y > y - y . . . . . subtract y from both sides

  x - y > 0 . . . . matches choice D

Given: 2/3 every 30 seconds

If we cut 2/3 in half, we get 1/3. This would also mean we cut the time in half 30 / 2 = 15 seconds

Therefore, 1/3 of the length every 15 seconds.

15 + 15 + 15 = 45 seconds to go the full length of the path

Answer:

Step-by-step explanation:

(2 - 0)/(0 + 2)= 2/2= 1

y - 0 = x + 2

y = x + 2

Answer:

-.75x-6

Step-by-step explanation:

Step 1: simplify the first equation

1/4(x-28)=2x, or .25x-7=2x.

Step 2: simplify the second equation so that one side equals 2x

13-5x=-7.5x-t. Add 7x to either side to get 13+2x=-.5x-t. Then, subtract 13 from either side and then you have 2x=-.5x-t-13

Step 3: make both equations into one equation

Since 2x=.25x-7, and 2x=-.5x-t-13, then it's safe to say .25x-7=-.5x-t-13.

Step 4: Simplify this final equation

Add .5x to both sides to get .75x-7=-t-13. Then add 13 to both sides to get .75x+6=-t. Then multiply everything by -1 to get -.75x-6=t

The numbers between 813-930 are 870,880,925.

It is required to find the  three numbers.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

We have to find the  three numbers between 813 to 930.

Numbers between 813-930 are 870,880,925.

Therefore , the numbers between 813-930 are 870,880,925.

Learn more about real number here:

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Answer:

The center of the circle is the point (6,3)

Answer:

The greatest number of bracelets she can buy is 63.

Step-by-step explanation:

12 + 0.60x ≤ 50

1.) 12 + 0.60(63) ≤ 50

12 + 37.8 ≤ 50

49.8 ≤ 50

Since 49.8 ≤ 50 is always true, there are infinitely many solutions.

2.) 12 + 0.60(64) ≤ 50

12 + 38.4 ≤ 50

50.4 ≤ 50

Since 50.4 ≤ 50 is false, there is no solution.

Answer:

63

Step-by-step explanation:

did the test on edge

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Use a calculator to find this or simply use your figers and count 5 more starting from 5.

Given:

The exponential equations in the options.

To find:

The equation which represents exponential decay.

Solution:

The general exponential equation is

[tex]y=ab^x[/tex]

where, a is initial value and b is growth rate.

If b<1, then it is an equation of exponential decay.

If b>1, then it is an equation of exponential growth.

In option A, b=31>1, i.e., exponential growth.

In option B, b=3.1>1, i.e., exponential growth.

In option C, b=0.13<1, i.e., exponential decay.

In option D, b=1.03>1, i.e., exponential growth.

Only [tex]y=10(0.13)^x[/tex] represents exponential decay.

Therefore, the correct option is C.

Answer:

D

Step-by-step explanation:

Shsgbsbdh

Step-by-step explanation:

5 cupcakes = PHP 2675

25% profit =

25/100 × 2675 = 668.75

Selling price for 25% profit = 2675 + 668.75 = 3343.75

Cost of each cupcake for 25% profit = 3343.75/5

= 668.75

Answer:

El padre pago el 63% del valor del juego, es decir, $57.

Step-by-step explanation:

Si el valor total del juego es de $90, y el redactor aportó una quinta parte del total del precio, el total aportado por él es de $18 (90 / 5 = 18). A su vez, su hermana María aportó una sexta parte del valor, es decir $15 (90 / 6 = 15). Por ende, el padre de los niños aportó $57 (90 - 18 - 15 = 57), es decir, el 63% del valor total.

Answer:

C

Step-by-step explanation:

The inequality 2(x + 7) > 6 and 2(x + 7) ≤ -3 will represents the given situation so option (C) will be correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

Let's say that number is x

Then,

sum of a number and 7 = x +7

Twice the sum of a number and 7 is more than 6

So,

2(x + 7) > 6

And

Twice the sum of a number and 7 is at most -3, it means it can go up to -3 not more than.

So,

2(x + 7) ≤ -3

Hence "The inequality 2(x + 7) > 6 and 2(x + 7) ≤ -3 will represents the given situation".

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Answer:

9/11

Step-by-step explanation:

The fraction that are men are

men/total

18/22

Divide the top and bottom by 2

9/11