If BG = 19+ 2w and GC = 5w + 4, then find the value of w.

Answer:

22/a

Step-by-step explanation:

The quotient of 22 and a number = 22/a

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = [tex]3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4[/tex]

[tex]fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4[/tex]

[tex]fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4[/tex]

[tex]fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}[/tex]

[tex]fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}[/tex]

[tex]fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}[/tex]

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

[tex]x(x^{2}+x) \neq 0[/tex]

If x = 0, the function doesn't exist.

[tex]x^{2}+x \neq0[/tex]

[tex]x(x+1) \neq0[/tex]

[tex]x+1\neq0[/tex]

[tex]x\neq-1[/tex]

Therefore, the domain of this function is: -∞ < -1 or x > 0

Answer:

It would be  -13.6

Step-by-step explanation:

I used my calculator for this,  

-24.65 +25 - 46.75 + 32.80 = -13.6

Answer:

Step-by-step explanation:

1) If the sum of consecutive integers is given, I usually solve the problem by considering the average of those integers: the sum divided by the number of integers. (See https://brainly.com/question/17307802 for an example.)

If some other relation is given then quite often a variable is assigned to one of the integers, often the smallest. If they are consecutive, then the others may be n+1, n+2, n+3 and so on.

__

2) If they are consecutive even or odd, then they differ by 2 instead of 1: n, n+2, n+4, and so on.

__

3) That difference of 2 is the same whether the integers are consecutive even or consecutive odd. The representation used does not change.

_____

Additional comment

In some instances, you need to ensure that the integers are even or odd, so you might use a representation of 2n for an even integer and 2n+1 for an odd integer. This is rarely an issue in consecutive integer problems.

A semicircle is a half of a circle.

Find the circumference of a full circle then divide in half.

Circumference = pi x r x 2

Circumference = 3.14 x 9 x 2 = 56.52

Semicircle = 56.52/2 = 28.26

Answer:

4

Step-by-step explanation: you have t do y plus 10 and then add 4  minus -2

Answer:

[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]

[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]

Step-by-step explanation:

Given

[tex]y = 25x + 65[/tex]

Required

Determine the range and domain when x = 9 to 16

The domain is the set of

[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]

Solving for the range;

When x = 9

[tex]y = 25 * 9 + 65[/tex]

[tex]y = 225 + 65[/tex]

[tex]y = 290[/tex]

When x = 10

[tex]y = 25 * 10 + 65[/tex]

[tex]y = 250 + 65[/tex]

[tex]y = 315[/tex]

When x = 11

[tex]y = 25 * 11 + 65[/tex]

[tex]y = 275 + 65[/tex]

[tex]y = 340[/tex]

You continue till you get to x = 16

---

--

-

When x = 16

[tex]y = 25 * 16 + 65[/tex]

[tex]y = 400 + 65[/tex]

[tex]y = 465[/tex]

Hence; the range is

[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]

The tabular data shown in the image attached does not represent a function.

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find which of the given tables represent a function.

For a table to represent a function, for every unique value of {x}, there should be only one possible value of {y}. This means that if for a function f(x), at {x} = 1, there exists two or more values of {y}, then it is not a function. From the image, it can be seen that the relations given in tables does not represent a function. This is because -

Table {1} -

for {x} = - 3, there exists two values of y

Table {3} -

for {x} = 0, there exists two values of y

Therefore, the tabular data shown in the image attached does not represent a function.

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Answer:

factors are 5, 6, a, 11, b

Step-by-step explanation:

3)   5 + 6a + 11b

Algebraic expressions: 5 + 6a + 11b

Are combinations of numbers, variables, and at least one arithmetic.

Term are: 5, 6a, 11b

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).

Factors are: 5, 6, a, 11, b

Something which is multiplied by something else. A factor can be a variable, number,  a term, or a longer expression.

Coefficient: 6, 11

The numerical factor of a multiplication expression that contains a variable.

Constant: 5

A number that cannot change its value.

4).  13m-2n​ (note: it applies as above)

Answer:

x = infinite amount of solutions

Step-by-step explanation:

Step 1: Write out inequality

5 + 2x < 2x + 6

Step 2: Solve

5 < 6

Since we can see that 6 is indeed bigger than 5, it makes the inequality true. If you plug in any number x, it will still be true. Therefore, we have an infinite amount of solutions,

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

[tex]\blue\star[/tex]a1 = 9. eq1

[tex]\blue\star[/tex]a2 = 17. eq2

Firstly we have to find d

[tex]\blue\star[/tex]d = a2 -a1

we dont have a2 so we can do this by other method

split a3 into a+2d

Now add equation 1 and 2

[tex]\blue\star[/tex] a+a+2d = 17 +9

[tex]\blue\star[/tex] 18 + 2d = 26. [we have a = 9]

[tex]\blue\star[/tex] 2d = 8

[tex]\blue\star[/tex] d = 4

Now we have to find a5

[tex]\blue\star[/tex] a5 = a+(n-1)d

[tex]\blue\star[/tex] a5 = 9 + (5-1)4

[tex]\blue\star[/tex] a5 = 25

now we can easily find s5

[tex]\blue\star[/tex]s5 = n\2(a+l)

[tex]\blue\star[/tex] s5 =5\2(9+25)

[tex]\blue\star[/tex] s5 = 85

[tex]\huge\boxed{S5 = 85}[/tex]

Check

s5 = a1 + a2 + a3 +a4 +a5

s5 = 9 +13+17+21+25= 85

Hope it helps

The sum of the arithmetic sequence [tex]S_5=85[/tex]

Explanation :

Arithmetic series, a1 = 9, a3 = 17

We need to find out sum of 5 terms

The formula to find sum of arithmetic series is

[tex]S_n=\frac{n}{2} (2a+(n-1)d)[/tex]

where 'a' is the first term

'd' is the common difference and n is the number of terms

a1=9,, first term is 9

formula for nth term is [tex]a_n=a_1+(n-1)d[/tex]

a3=17, it means third term is 17

lets find out 'd' using third term

[tex]a_3=a_1+(3-1)d\\17=9+2d\\17-9=2d\\8=2d\\d=4[/tex]

So value of d=4

Now use sum formula to find out S5

[tex]S_n=\frac{n}{2} (2a+(n-1)d)\\n=5, d=4, a_1=9\\\\S_5=\frac{5}{2} (2(9)+(5-1)4)\\S_5=\frac{5}{2}\cdot \:34\\S_5=85[/tex]

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Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{536}}}}}[/tex]

Step-by-step explanation:

Solution :

Here, 12 - 8 = 4

15 - 11 = 4

18 - 14 = 4

27 - 23 = 4

Thus, every divisor is greater than its remainder by 4. So, the required smallest number is the difference of the L.C.M of the given number and 4

Finding the L.C.M

First of find the prime factors of each numbers

12 = 2 × 2 × 3

15 = 3 × 5

18 = 3 × 3 × 3

27 = 3 × 3 × 3

Take out the common prime factors : 3 , 3 and 3

Also take out the other remaining prime factors : 2 , 2 and 5

Now, Multiply those all prime factors and obtain L.C.M

L.C.M = Common factors × Remaining factors

= 3 × 3 × 3 × 2 × 2 × 5

= 540

L.C.M of 12 , 15 , 18 and 27 = 540

So, The required smallest number = 540 - 4

= 536

Hope I helped!

Best regards!!

Answer:

Step-by-step explanation:

[tex]8x-x\\\mathrm{Add\:similar\:elements:}\:8x-x=7x[/tex]

Answer:

7x

Step-by-step explanation:

it is quite clear and also very easy look...

8x -1x = 7x

                 whenever it's only x, p y etc. remember it is always 1x, 1p, 1y etc. and then just do the operations

so easy hope you found it helpful

plz rate and mark the brainliest if you found it helpful....

Answer:

pounds

Source:

Trust me bro

Answers & Step-by-step explanation:

Now let's solve your problems!

First, we see if there are any parentheses. Since there are no parentheses, we will evaluate the exponent 3² first.

After this, our problem now looks like this:

Next, since multiplication (not subtraction) is next on the list, we will evaluate 6 × 3, which equals 18.

After that, we will subtract:

41 - 9 = 32

18 - 26 = -8

We now have 32/-8 or 4/-1 or simply -4.

With this, one, note the parentheses. This means that we will do these operations first.

(21 - 4²) = 5

(3 + 1) = 4

The problem now looks like this:

[tex]\frac{5 * 4}{8^{2}-44}[/tex]

Next, we do the exponents:

8² = 64

After that, we do the multiplication of 5 x 4, which equals 20.

We now have 20/64 - 44, which simplifies to 20/20 or 1/1 or 1.

Again, we see parentheses, so that means we need to do these operations first.

(6² - 20) = 16

We now have:

48 ÷ 16 + 5

48/16 = 3 and 3 + 5 = 8

Here, we see an exponent 3³, so we'll need to evaluate this first.

3³ = 27

We now have:

4 × 27 ÷ 18 + 14

4 × 27 = 108

108/18 = 6

And finally:

6 + 14 = 20

Here we again see the parentheses, which means we need to evaluate the subtraction first.

3 - 8 = -5

We now have:

11 + 2 (-5)

2 × -5 = -10

11 + -10 (same as 11 - 10) = 1

Answer:0

Step-by-step explanation:2 4ac

2×4×-2×0=0

Answer:

Step-by-step explanation:

Do 91-6 which equals 85. Then do 85/5 which equals 17

answer: 17

Answer:

17

Step-by-step explanation:

So first we write an equation

5x+6=91

subtract 6 from both sides

5x=85

divide by 5

so x=17

(plz give me brainliest)

Answer:

Average Speed

C.) 19.6 m/s

Instantaneous Speed

D.) 39.2 m/s

Step-by-step explanation:

Given the function to represent the distance traveled by the object in [tex]t[/tex] seconds:

[tex]y = 4.9t^2[/tex]

To find:

Object's average speed during the first 4 seconds ?

Instantaneous speed at t = 4 seconds

Solution:

Average speed of a moving object is given by, Total Distance covered divided by Total time taken.

[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

Let us find the distance traveled in 4 seconds by putting t = 4 in the equation [tex]y = 4.9t^2[/tex]

[tex]y = 4.9\times 4^2 = 78.4\ m[/tex]

Now, let us put the values in the formula:

[tex]\text{Average Speed = }\dfrac{78.4}{4} = \bold{19.6\ m/s}[/tex]

For instantaneous speed, we need to differentiate y w.r.to t:

[tex]Speed = \dfrac{d}{dt}y = 4 \times 4.9 t^{2-1}\\\Rightarrow Speed = \dfrac{d}{dt}y = 4 \times 4.9 t[/tex]

Now, let us put t = 4 seconds

Speed = [tex]4\times 4.9\times 4[/tex] = 39.2 m/s

The answers are:

Average Speed

C.) 19.6 m/s

Instantaneous Speed

D.) 39.2 m/s

Answer:

See below

Step-by-step explanation:

● (7x^3 - 2x^2 -12) + (-3x^3 - 8x^2 +10x)

● 7x^3 - 2x^2 - 12- 3x^3 - 8x^2 + 10x

Combine like terms

● 7x^3 - 3x^3 -2x^2 - 8x^2 -12 + 10x

● 4x^3 - 10x^3 +10x -12

Answer:

Addition:::::4x^3-10x^2+10x-12

Answer:each sister get will get $525

Step-by-step explanation:

1st step

Eric and his sisters shared amount x in the ratio 2:7

total ratio = 2+7 = 9

2nd step ;

Total amount of money shared since Eric received $300

(ratio of Eric/ Total ratio ) x Shared amount X = share of Eric

2/9 x X= 300

X=(300 x 9) / 2 = $1,350

Total money = $1,350

3rd step:

two sisters will receive

(ratio of two sisters/ Total ratio ) x Shared amount x = share of two sisters

7/9 x $1,350 =  9,450/9 = 1,050

share of two sisters= $1050

if they share equally , each will receive  $1050/2 = $525

Answer:

C AND D

Step-by-step explanation:

KHAN ACADEMY.

C: c(n)= 64(1/2)^n for n greater than or equal to 3

D: d(n)= 128(1/2)^n for n greater than or equal to 4

The correct series is being generated by options B and D

A geometric series is a series for which the ratio of each two consecutive terms is a constant term called the common ratio.

The given series is 8 , 4 , 2 , 1......

Here, we should check the options one by one

So, option A is wrong.

So, option B is correct.

Hence option C is wrong.

So, option D is correct.

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Answer:

1, 2, -3, 51

Step-by-step explanation:

0 ÷ 2 = 0

0 + 1 = 1

2 ÷ 2 = 1

1 + 1 = 2

-8 ÷ 2 = -4

-4 + 1 = -3

100 ÷ 2 = 50

50 + 1 = 51

Answer:

h = 11/g - 3/5

Step-by-step explanation:

[tex]g ( h + \frac{3}{5} ) = 11 \\\\Divide\:both\:sides\:of\:the\:equation\:by\:g \:;\\\frac{g(h+\frac{3}{5}) }{g} = \frac{11}{g} \\\\h + \frac{3}{5} = \frac{11}{g} \\\\Move\: 3/5\: to\: the\: right\:and\:change\:its\:sign\\h = \frac{11}{g} -\frac{3}{5}[/tex]

Answer:

Step-by-step explanation:

A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol.

This is the definition

Answer:

$84

Step-by-step explanation:

So, if the store is selling the bicycles at a 30% discount, that means that the bike is at 70% of it's original value. SO we can do 120*.7=84.

Answer:

0.2 miles

Step-by-step explanation:

Given that Jonah starts jogging at a constant speed of 6 miles per hour, Five minutes later, Jonah must have covered a distance of;

Distance = speed × time

Distance = 6 × 5/60

Distance = 0.5 miles

Distance covered in 12 minute will be

Distance = 6 × 12/60

Distance = 1.2 miles

Total distance covered by Jonah will be 0.5 + 1.2 = 1.7 miles

Sory jogging from the same place along the same trail. Sory jogs at a constant speed of 7.5 miles per hour.

If Sory jogs for 12 minute, then sory distance covered will be

Distance = speed × time

Distance = 7.5 × 12/60

Distance = 1.5

The distance between Jonah and Sory will be:

1.7 - 1.5 = 0.2 miles

Therefore, they are 0.2 miles apart after 12 minutes

Answer:

p= -80

Step-by-step explanation:

DON'T FORGET TO INCLUDE THE NEGATIVE

1. Isolate the p

2. Bring the .6 to the other side by doing the opposite. In this case adding.

3. You now should have -0.07=5.6

4. You are going to continue to isolate the variable.

5. You are going to do the opposite of multiplication to the -0.07. (Didn't know how to word this part)

6. You are going to divide both sides by -0.07. Which would give you -80.    

DON'T FORGET TO INCLUDE THE NEGATIVE

Answer:

A.20_ 3=17..

option A is the answer

Answer:

A) 20 - 3

Step-by-step explanation:

20 - 9÷3

Use PEMDAS.

First Division should be done

So, 20 - 9÷3 = 20 - 3