Find the constant of variation when y=6 varies directly with x=3

Answer:

Question 4

Simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2

Option D is correct option.

Question 5

Simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]

Option C is correct.

Step-by-step explanation:

Question 4

Simplify completely [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex]

For simplifying the above expression we have to find find factors of numerators and denominators

First finding factors of numerator [tex]x^2-10x-24[/tex]

[tex]x^2-10x-24\\ = x^2-12x+2x-24 \\= x(x-12)+2(x-12) \\=(x-12)(x-2)[/tex]

So, the factors of [tex]x^2-10x-24[/tex] are [tex](x-12)(x-2)[/tex]

Now finding factors of denominator [tex]x^2-3x-108[/tex]

[tex]x^2-3x-108\\=x^2-12x+9x-108\\=x(x-12)+9(x-12)\\=(x+9)(x-12)[/tex]

So, factors of [tex]x^2-3x-108 are (x-12)(x+9)[/tex]

Now, replacing numerators and denominators with their factors

[tex]\frac{x^2-10x-24}{x^2-3x-108}\\=\frac{(x-12)(x-2)}{(x+9)(x-12)}\\Cancelling\:(x-12) \: from\:numerator\:and\:denominator\\=\frac{x-2}{x-9}[/tex]

so, simplifying the expression [tex]\frac{x^2-10x-24}{x^2-3x-108}[/tex] we get [tex]\frac{x-2}{x-9}[/tex] and x≠9 or x≠2

Option D is correct option.

Question No 5

Simplify the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex]

For simplifying the above expression we have to find find factors of numerators and denominators

First finding factors of numerator [tex]8x-16[/tex]

Taking 8 common:

[tex]8x-16\\=8(x-2)[/tex]

So, factors of [tex]8x-16[/tex] are [tex]8(x-2)[/tex]

Now finding factors of denominator : [tex]x^2-13x+22[/tex]

[tex]x^2-13x+22\\=x^2-11x-2x+22\\=x(x-11)-2(x-11)\\=(x-2)(x-11)[/tex]

Now, replacing numerators and denominators with their factors

[tex]\frac{8x-16}{x^2-13x+22}\\=\frac{8(x-2)}{(x-11)(x-2)}\\Cancelling\:(x-2)\\=\frac{8}{x-11}, x\neq 11[/tex]

So, simplifying the expression: [tex]\frac{8x-16}{x^2-13x+22}[/tex] we get [tex]\frac{8}{x-11}, x\neq 11[/tex]

Option C is correct.

Answer:

Answer is n^4

Step-by-step explanation:

You add the exponent when they are multiplying and have the same base

Answer:

n^4

Step-by-step explanation:

n^3 just means nxnxn and now, you are going to multiply that by another n. So it will become nxnxnxn which is essentially just n^4. Also, you should keep in mind that when you multiply a number by another number that has exponents in it but has the same base, you can just add their exponents. For example, n is actually just n^1 and when you multiply it by n^3 you can just add the one and the three to get 4. Which will give you n^4. Another example is if you have 6^5 multiplied by 6^3, you can just add the exponents and put that on the base to get 6^8. This works because 6^5 is just (6x6x6x6x6) and 6^3 is just (6x6x6) and when you multiply all of them you get 6^8 (6x6x6x6x6x6x6x6) I hope the last part made sense. If it didn't, you can just use the nxnxnxn logic instead. The last part was a little hard from me to explain.

Answer:

I hope this helps :)        

Answer:

Step-by-step explanation:

1+0.6

6/10 simplifed into 3/5

+1(which can be written anso as 5/5)

so 3/5 + 5/5 is 8/5 or         1 and 3/5

Answer:

73. 61 degrees

74. x= 31

75. 37 degrees

76. x=27

78. x=96 z=151 y=68

79. x= 66 y=z y and z =88

80. y =43 z=90 x = 71

81= x=95 y=51 z=39

83. g=49 h=117 j=49 m=55 k = 76

84= b=37 a=143 c=37 d=121 e=158 f=22 h=50 g=108

Step-by-step explanation: As far as I can go sorry

No

The first fraction is under 1 whole while the second fraction is over 1 whole.

40/48 and 1  14/42 is what this is equal to.

May I have brainliest please? :)

Answer:

No

Step-by-step explanation:

the two fractions go down to

40/48= 5/6

56/42= 8/7

So, No

Answer: Statement p is false.

Step-by-step explanation:

In both cases, we need to isolate the variables:

p: -3*x + 8*x - 5*x = x

   (-3*x - 5*x) + 8*x = x

    -8x + 8*x = x

        0 = x

This will be true only for one value of x, so this is not always true, which means that the statement is false.

q: (3*x)*(5*y) = 15*x*y

let's solve the left side:

  3*x*5*y = 15*x*y

  (3*5)*(x*y) = 15*x*y

   15*x*y = 15*x*y

This is true for every value of x and y, then this statement is true.

Answer:

x ≤ 5

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define Inequality

4x - 2 ≤ 18

Step 2: Solve for x

Here we see that any value x smaller than or equal to 5 would work as a solution to the inequality.

Answer:

g = 8.7

Step-by-step explanation:

3.1 (g - 7) = 5.2

Multiply by 3.1

3.1g - 21. 7 = 5.2

Add 21.7 to both sides

3.1g = 5.2 + 21.7

3.1g = 26.9

Divide both sides by 3.1

g = 26.9 / 3.1

g = 8.677 = 8.7

Answer:b

Step-by-step explanation:

Plato

A. 1 pair of corresponding points are N and L or you could use S and H.

but i do not know the question B sorry.

Answer:

B. 36

Step-by-step explanation:

Answer:

36, 45

Step-by-step explanation:

Using equations you get [tex]x + x+9=81[/tex] because one number is 9 more than the other and the sum is 81. Simplifying you get, [tex]2x = 72[/tex]. Divide both sides by 2 to get [tex]x=36[/tex]. Remember this is only x so to get the other number you have to add 9 to 36 to get 45 as the other number.

Answer:

18 units

Step-by-step explanation:

(-4 , 10) and (-4, -8)

Distance = [tex]\sqrt{(x_{2}+x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]

              [tex]= \sqrt{(-4-[-4])^{2}+(-8-10)^{2}}\\\\= \sqrt{(-4+4)^{2}+(-18)^{2}}\\\\=\sqrt{0 + 324}\\\\=\sqrt{324}\\\\= 18[/tex]

Answer:

8.77

Step-by-step explanation:

Answer:

I believe the answer is A) $8.77

step1) multiply the cost of peaches oer pound by 18.4

step2) add the cost for the peaches to the cost for the pineapple

step3)divide the cost by 4

Answer:

Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface

Step-by-step explanation:

The height of Cassidy's diving platform above the water = 6 ft.

The equation that models her dive is d = x² - 7·x + 6

Where;

d = Her vertical position or distance from the water surface

x = Here horizontal distance from the platform

At Cassidy's maximum depth, we have;

dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0

x = 7/2 = 3.5

∴ At Cassidy's maximum depth, x = 3.5 ft.

The maximum depth, [tex]d_{max}[/tex] = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25

The maximum depth, Cassidy went before coming back up to the surface = [tex]d_{max}[/tex] = -6.25 ft = 6.25 ft. below the surface of the water.

Answer:

Step-by-step explanation:

A bar chart is a graphical representation of data, showing the relationship between two variables in the form of bars. the height of each bar expresses the connection between the variables.

In the given question, plot the number of weeks given against the cost of living index so as to have a clear picture of the relationship between the variables.

The attachment to this answer shows the bar chart for the given data.

Answer:

4

Step-by-step explanation:

Perimeter of triangle = 2x + 1 + 3x + 2(x + 4)

                                   = 2x + 1 + 3x + 2x + 8

                                   = 7x + 9

7x + 9 = 37

7x = 37 - 9

    = 28

x = 28 ÷ 7

x = 4

Answer:

I think its C

Step-by-step explanation:

Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

A). What amount will he have in his account 28 years later ?

First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

Answer:

It is half as much. urysukdhwjx8hdjdhvndkduc

Answer:

We conclude that the red drown has the greater the acceleration.

Step-by-step explanation:

Given

Given that all 3 drones have the same mass.

To determine:

Which drone has the greatest acceleration

From the figure, it is clear that the red drown has a steeper slope. We know that the steeper the slope of the line the greater the acceleration.

It is also visible the red drone has already covered 50 km in just 50 minutes speed, while the blue drone covered around 30 km in 50 minutes and the green drone is the slowest of all, covering less than 20 km in 50 minutes.

Therefore, we conclude that the red drown has the greater the acceleration.

Answer:

D. 28

Step-by-step explanation:

This answer is it because 28 is greater than 25.

Answer:

$500.1

Step-by-step explanation:

Step one:

principal= $500

rate= 3%

time 8 months

Required

The  final amount

Step two;

simple interest= PRT/100

SI= (500*0.03*8/12)/100

SI=10/100

SI=0.1

The final amount is

Amount= 500+0.1

Amount= $500.1

Hey there!

“What is the best decimal equivalent to 3 9/100?”

3(100) + 9

3(100) = 300

300 + 9 = 309 ⬅️ solving for your numerator

100 ÷ 1 = 100 ⬅️ solving for your denominator

309 / 100 ➡️ 309 ÷ 100 = 3.09

Thus your answer is: 3.09 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

___Its the first option___

Answer:

A

Step-by-step explanation:

The square root of 16 is 4 and of 49 is 7. 4/7 is equivalent to the square root of 16/49.

Answer:

Check my explanation

Step-by-step explanation:

Okay. I measured my left foot and it's 11 inches. (5 of that is 55 inches.) My forearm is about 11 inches, too?

What is this even for? I have no clue, but it sounds interesting right off the bat.