Find the value of x in the equation 2(x +1)=14

The graph showing a function increasing at a constant rate is graph B.

In order to check the rate of rise of a function in an interval find the value of its derivative at all the points of that interval. If the values of derivatives are increasing then the function is increasing else it is decreasing.

The graphs A and B are given in the problem can be analysed one by one as follows,

Graph A,

In the interval [-∞,0], the slope of the function is decreasing.

And, in the interval [0,∞], the slope is increasing.

Thus, it is not increasing at a constant rate.

Graph B,

The function has the same slope in both the intervals [-∞,0] and  [0,∞], which is positive.

It implies that the function is increasing at a constant rate.

Hence, the function shown in graph B is is increasing at a constant rate.

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Given:

18% increase followed by a 13% decrease.

To find:

The single percentage equivalent to a 18% increase followed by a 13% decrease.

Solution:

Let a number be 100.

If it is increased by 18% then the number becomes

[tex]Number=100+\dfrac{18}{100}\times 100[/tex]

            [tex]=100+18[/tex]

            [tex]=118[/tex]

Then, it is decreased by 13%.

[tex]Number=118-\dfrac{13}{100}\times 118[/tex]

             [tex]=118-15.34[/tex]

             [tex]=102.66[/tex]

New number is 102.66.

Now, the percentage change is

[tex]\%\text{ Change}=\dfrac{\text{New number - Initial number}}{\text{Initial number}}\times 100[/tex]

[tex]\%\text{ Change}=\dfrac{102.66-100}{100}\times 100[/tex]

[tex]\%\text{ Change}=\dfrac{2.66}{100}\times 100[/tex]

[tex]\%\text{ Change}=2.66\%[/tex]

Therefore, the Single percentage change is 2.66%.

Answer:  Create equations. Top length=Bottom length

Left side = right side.

Combine like terms and rewrite the equations.  

Use the new equations to create a system of equations to solve for x and y.

Once you have x and y, you can substitute those in the expressions for the lengths of the parallelogram.

You should end up with top and bottom lengths of 10. The sides are 9.

Step-by-step explanation:

3x-5 = 18 -2y . Rewrite as 3x + 2y = 23

x+4 = 21 -3y    Rewrite as  x + 3y = 17

The system of equations is

3x + 2y = 23   and  x + 3y = 17 . To solve by substitution, multiply the second equation by -3   It becomes  -3x-9y= -51  Add the equations so the x terms cancel. Solve for y

3x + 2y = 23

-3x - 9y = -51

0  -7y  = - 28  Divide both sides by -7.   y = 4

Substitute 4 for y,  solve for x

x + 3(4) = 17

x + 12 = 17 . Subtract 12 from both sides   x = 5

Substitute the values of x and y in the expressions

Top: 3x-5    is 3(5) -5  becomes 10

Bottom: 18 -2y  is  18 - 2(4) becomes 10

Left:  x +4   is (5) + 4  becomes 9

Right:  21 - 3y  is  12 -3(4)  becomes 9

Answer:

-11x = -48 +15

x = (-48+15) / (-11)

x = -33 / -11

x= 3

hope that help

Step-by-step explanation:

4e88s45etds8sistzerse8rse85t8ss

Answer:

Radius: 1.128  Area: 4

Hope this helps :)

Answer:

1200

Step-by-step explanation:

Answer:

I don't understand, please write again

Answer:

Sally rode 4 kilometers more than her brother.

Step-by-step explanation:

1,000 meters = 1 kilometer

So if you convert Sally's meters into kilometers, you get 6 kilometers. John rode 2 kilometers so you do 6 kilometers - 2 kilometers = 4 kilometers.

Now you got your answer!

Hope this helped.

Answer & Step-by-step explanation:

1. (3g−2) (2g+3)

2. 9(x−1)^2

Sorry if wrong ;(

Hope this helps ;)

Answer:

(3g-2)(2g+3)

9(x-1)^2

Hope this helps

Answer:

20 p per pear 10p per peach

Step-by-step explanation:

Hope this helps

Answer:

1 pear costs 20 cents. 1 peach costs 10 cents.

Step-by-step explanation:

x represents pears

y represents peaches

4x + 2y = 1

2x + 3y = 0.7

multiply the second equation by -2 to elimate the x variable

(2x +3y = 0.7) -2 = -4x - 6y = -1.4

add the new equation to the first original one:

4x + 2y = 1

-4x - 6y = -1.4

-4y = -0.4. divide both sides by -4, y = 0.10

plug in y = 10, solve algebraically and get x = 0.20

Lastly, check your work:

4(0.20) + 2(0.10) = 1

2(0.20) + 3(0.10) = 0.7

Answer:

4. [tex]6\sqrt{3}[/tex]

6. [tex]\frac{2\sqrt{6} }{3}[/tex]

8. 23.78

Answer:

Brodie drank 70 milliliters

Step-by-step explanation:

280 divided by 4 equals 70

To check: 70 x 4 = 280

Hence, the Brodie drink [tex]280[/tex] milliliters.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Jamie drank four times as much juice as Brodie. Jamie drank [tex]280[/tex]milliliters of juice.

So,

[tex]\frac{280}{4}=70[/tex] millilitres

And, Jamie drank four times as much juice as Brodie

[tex]70[/tex] x [tex]4[/tex] = [tex]280[/tex]

Hence, the Brodie drink [tex]280[/tex] milliliters.

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Answer:

288

Step-by-step explanation:

because 20 percent off is 252 and adding the sales tax which is 36 so you get 288

Answer:

-20

Step-by-step explanation:

According to order of operations, multiplication comes before addition.

4(– 7) + 8 =

-28 + 8 =

-20

An expression equivalent to 4(– 7) + 8 would be:

8 + 4(-7)

This is true because of the commutative property which states that a+b=b+a

Answer:

-20

Step-by-step explanation:

It is very simple!

4x-7= -28

-28+8=20

Answer:

yes

Step-by-step explanation:

we know because the triangle have the same angles

Answer:

no/yes

Step-by-step explanation:

Answer:

4x+6y<=10

Step-by-step explanation:

The linear inequality that describes the graph is 4x+ 6y ≤ 10.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

As, The bold straight line passes through the points (1,1) and (-2, 3).

so, equation of line will be

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

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

-3y + 3 = 2x - 2

-3y -2x = -5

If we multiply by 2 both side we get

-6y - 4x = -10

4x+ 6y= 10

So, the required inequality for gray area is 4x+ 6y ≤ 10.

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Answer:

45.6363636 or 45.6

Step-by-step explanation:

Answer:

answer:it is 45.636

Answer: 0.0875

Step-by-step explanation: you divide the number by 100

Answer:

the building would be 32.5 feet tall.

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

2x (x + 4) -12x

2×-3(-3+4)-12×-3

-6(1)+36

30

Answer:

The function that is incorrect is the third option, the option where the Domain's 0 is pointing to two Ranges.

Answer:

SAS triangle congruence postulate

the answer is:

x = -6

Answer:

23%

im supposed to add more to this so i can submit this so here you go

Answer:

17, 50, 9

Step-by-step explanation:

Hello

We already know the values of x and y, 5 and 2.

All we have to do to figure out a, b, and c, is to plug in those known values.

a) 3x + y

Let's plug in x and y as 5 and 2

3(5) + 2

15 + 2

17

b) 2x^2

2(5)^2

2(25)

50

c) (x - y)^2

(5 - 2)^2

3^2

9

Answer:

A) 3(5)+2= 17

B) 2(5)2=  50

C) (5-2)2= 9

Step-by-step explanation:

Answer: the answer is B

Step-by-step explanation:

Answer:

-21/40, -3/8, 21, 21 3/8, 21 3/40,

Step-by-step explanation:

Answer:

g= -1.74

Hope this helped :)