Properties of Logarithms pls help me with this?

Step-by-step explanation:

is connected to graph before u learn this u must know your graph

Answer:

8 feet, 256 ft^2

Step-by-step explanation:

The function of the area can be graphically rapresented with a parabola that opens downwards

in this specific case the vertex is the maximum point of the parabola.

(X) Vertex = -64/-8 = 8 feet

(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2

Answer:

Maximum Width = 8 feet.

Maximum area = 256 ft^2.

Step-by-step explanation:

Part A.

A = -4w^2 + 64w

Finding the derivative:

dA/dw = -8w + 64 = 0  for maxm/minm, so

-8w  = -64

w = 8

The second derivative is -8 so w = 8 gives a maximum.

Part B.

The maximum area = -4(8)^2 + 64*8

= -256 + 512

= 256 ft^2.

Given:

A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).

To find:

The corresponding quadratic expression.

Solution:

If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.

A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.

The function is defined as:

[tex]P(x)=a(x-2)(x-6)[/tex]                    ...(i)

Where, a is a constant.

The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.

Substituting x=4 and P(x)=8 in (i).

[tex]8=a(4-2)(4-6)[/tex]

[tex]8=a(2)(-2)[/tex]

[tex]8=-4a[/tex]

Divide both sides by -4.

[tex]\dfrac{8}{-4}=a[/tex]

[tex]-2=a[/tex]

Putting [tex]a=-2[/tex] in (i), we get

[tex]P(x)=-2(x-2)(x-6)[/tex]

[tex]P(x)=-2(x^2-6x-2x+12)[/tex]

[tex]P(x)=-2(x^2-8x+12)[/tex]

[tex]P(x)=-2x^2+16x-24[/tex]

Therefore, the correct option is B.

Answer:

2604

Step-by-step explanation:

Answer:

2600 as a estimate but it is 2604

Step-by-step explanation:

Answer:

B; 4,783

Step-by-step explanation:

To find the sum, we have to multiply the number of observations by the mean

Therefore, we simply have the sum calculated as follows;

100 * 47.83 = 4,783

What is x equivalent to?

Answer:

56.3 =c

44.1 =a

Step-by-step explanation:

Using the law of sines

sin 102        sin 28

----------  = ----------

c                 27

Using cross products

27 sin 102 = c sin 28

Divide by sin 28

27 sin 102

------------   = c

sin 28

56.25470702= c

Rounding to the nearest tenth

56.3 =c

To find a

We need Angle A

A = 180 - 102 -28

A = 50

sin 50        sin 28

----------  = ----------

a                 27

Using cross products

27 sin 50 = a sin 28

27 sin 50

------------   = a

sin 28

44.0563425= a

Rounding to the nearest tenth

44.1 =a

Answer:

(fog)(x)=6x-3

Step-by-step explanation:

In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).

[tex](fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

8.34 ×10^4 as in sceintific notation so in normal

8.39×10^4 = 83900

and 3.84 × 10^-3 = 0.00384

Hope it helps

Answer:

Nnamdi Azikiwe

Step-by-step explanation:

he was the first one

Answer:

The answer will be 2a×3=6a

Answer:

[tex]y=0.5x+2[/tex]

Step-by-step explanation:

Finding the inverse of a function is essentially finding the complete opposite of a given function. An easy trick can be used to find the inverse of a function. This trick is essentially thinking of the evaluator (f(x)) as another variable. Solve the function for (x) in terms of (f(x)); use inverse operations to do so. After completing this process, rewrite the function such that it is in the inverse function notation; switch the position of the (f(x)) and the (x), then indicate that it is an inverse function.

[tex]f(x)=2x-4[/tex]

Inverse operations,

[tex]f(x)=2x-4[/tex]

[tex]f(x)+4=2x[/tex]

[tex]\frac{f(x)+4}{2}=x[/tex]

Simplify,

[tex]0.5f(x)+2=x[/tex]

Rewrite in inverse function notation,

[tex]f^-^1(x)=0.5x+2[/tex]

[tex]y=0.5x+2[/tex]

Answer:

Answer: 315

Step-by-step explanation:

9514 1404 393

Answer:

  7+(7–7) ÷(7+7•7)= 7

Step-by-step explanation:

The difference 7 - 7 provides an opportunity to zero out everything to its right. That's what we've done in this version:

  7 +(7 -7) ÷ (7 +7×7) = 7 . . . our version of the equation

  7 +0 ÷ (7 +49) = 7 . . . . . multiplication inside parentheses first

  7 +0 ÷ 56 = 7 . . . . . . . . parentheses first

  7 +0 = 7 . . . . . . . . . . . . division before addition

Answer:

13 points

Step-by-step explanation:

Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").

Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"

How many 6 player games?

How many 2 player games?

The answer to this question is:

7 two-player games are played

6  six-player games are played

What are system of equations?

A collection of two or more equations with the same set of unknowns is referred to as a system of equations.

Systems of linear equations in two variables can be solved in one of three ways:

Solution:

Given:

Total games = 13

Total number of athletes participated = 50

Find:

6-player games played = ?

2-player games played = ?

Step-1:

let x denote the total 2-player games played &

    y denote the total 6-player games played.

Hence the equation for the total number of games played is:

                     x + y = 13 ..............eq(1)

Now, the equation for the total number of games played by the athletes is:

                    2x + 6y = 50............eq(2)

Further eq(2) can be reduced as-

                   2(x + 3y) = 50

                    x + 3y = 50/2

                     x + 3y = 25.........eq(2)

Step-2:

Solving eq(1) and eq(2) by using elimination method as follows:

                      x + y = 13

                      x + 3y = 25

Step-3:      

In the elimination method positive signs changes to negative and x gets eliminated so we get the y value as:    

-2y = -12

y = 6

Substituting y value in eq(1): x+ y = 13

                                               x + 6 = 13

                                               x = 13 - 6

                                              x = 7

Hence we found out that total 7 two-player games and 6 six-player games were played.  

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Answer:

X= 7.5 Y=75

Step-by-step explanation:

Answer:

x=13.84

Step-by-step explanation:

3x + 5x + 5x = 180 degree (sum of interior angles of a triangle is always 180 degeree)

13x = 180

x=180/13

x=13.84

therefore value of x is 13.84  degree

Answer:

postive

Step-by-step explanation:

positive collums so it's positive

Answer:

Haha sure mate! Its 116 :) Your thing is wrong but I would select 106 because it seems like a more reasonable mistake

Step-by-step explanation:

Give me braiest answer if I saved you a whooping

Answer:

The answer to your question is 244 degrees

Step-by-step explanation:

Simply add 60, 90, 82, and 12 to get 244 degrees.

Answer:

I left out a few so you can do 1 or 2! :D

Step-by-step explanation:

3: 1/2 hour + 1/4 hour= 3/4 hour on computer

5: 1/5 more of the money

6: 8/5      9/4

7: a:6 5/9  b: 3 9/10  c: 4/5  d: 4 5/8

8 They have the same denominator

10: a: 5/12  b: 6 times more c: How much of the day does he spend sleeping or schooling

Give Brainiest answer to me. It helps! :D

Answers:

4.)  

a)

i) 3/8 - 1/4 = 3/8 - 2/8 = 1/8

ii) 4/5 - 3/4 = 16/20 - 15/20 = 1/20

b)

9.) It's less than 1 and the tops are smaller then the bottem

Answer:

1. 6 units

2. 24,000 newspapers

3. 6,000 bricks

4. 81 tons

5. a) 1,250 minutes or 20 hours and 50 minutes

    b) 384 meters

Step-by-step explanation:

ill include a picture of my work if u need it. sorry if its messy, it's how my brain works

Answer:

Step-by-step explanation:

D.36

because 12 divided by 1/3 is 36

Answer:

576'' squared

Step-by-step explanation:

Answer:

1=68 (Vertically opposite angles are equal)

2= 112 (sum of angles on a straight line gives 180°)

3=112 (vertically opposite angles are equal)

Answer:

[tex]x=-5,\\y=\frac{13}{2}[/tex]

Step-by-step explanation:

[tex]\begin{cases}x+2y=8,\\x=-5\end{cases}[/tex]

Substitute the second equation into the first ([tex]x=-5[/tex]):

[tex]-5+2y=8,\\2y=13,\\y=\boxed{\frac{13}{2}}[/tex]

The second equation already denotes [tex]x=-5[/tex]. Therefore,

[tex]\boxed{x=-5,\\y=\frac{13}{2}}[/tex]

Answer:

x=-5

y=6.5

Step-by-step explanation:

if x=-5 then x+2y=8 could be rewriten as -5+2y=8 then you add 5 on both sides and you get 2y=13 then divide both sides by 2 and you get y=6.5

Answer:

-1,024

Step-by-step explanation:

4×2=8

8×2=16

and so on repeating 7 times

Answer:

I hope This will Help u.. Plz mark me as Brilliant please

Step-by-step explanation:

Before you get started, take this readiness quiz.

Simplify: 

If you missed this problem, review (Figure).

Solve Equations with Constants on Both Sides

In all the equations we have solved so far, all the variable terms were on only one side of the equation with the constants on the other side. This does not happen all the time—so now we will learn to solve equations in which the variable terms, or constant terms, or both are on both sides of the equation.

Our strategy will involve choosing one side of the equation to be the “variable side”, and the other side of the equation to be the “constant side.” Then, we will use the Subtraction and Addition Properties of Equality to get all the variable terms together on one side of the equation and the constant terms together on the other side.

By doing this, we will transform the equation that began with variables and constants on both sides into the form  We already know how to solve equations of this form by using the Division or Multiplication Properties of Equality.

Solve: 

Solution

In this equation, the variable is found only on the left side. It makes sense to call the left side the “variable” side. Therefore, the right side will be the “constant” side. We will write the labels above the equation to help us remember what goes where.



Since the left side is the “”, or variable side, the 8 is out of place. We must “undo” adding 8 by subtracting 8, and to keep the equality we must subtract 8 from both sides.

Use the Subtraction Property of Equality.Simplify.Now all the variables are on the left and the constant on the right.

The equation looks like those you learned to solve earlier.Use the Division Property of Equality.Simplify.Check:Let .

Solve: 



Solve: 



Solve: 

Solution

Notice, the variable is only on the left side of the equation, so we will call this side the “variable” side, and the right side will be the “constant” side. Since the left side is the “variable” side, the 9 is out of place. It is subtracted from the , so to “undo” subtraction, add 9 to both sides. Remember, whatever you do to the left, you must do to the right.

Answer:

Division property of equality

Step-by-step explanation:

[tex] - 2m = 40[/tex]

[tex]m = - 20[/tex]

Answer:

The correct answer is - 103.13

Step-by-step explanation:

Given:

Circumference (C) = 36

Area =?

Formula:

Formula of area

A=πr2

formula of circumference

C=2πr

Solution:

C= 36 given so

36 = 2*3.142*r (r is radius)

r = 36/6.284

= 5.729

Putting the value of r in the formula of Solving for Area

A = 3.142*(5.729)^2

= 3.142*32,821

= 103.1124 or 102.3

Answer:

Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees

No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.

In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.

Let's calculate the sum of the given angles:

Sum = 80° + 55° + 65°

       = 200°

Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.

In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.

Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.

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