One number is 5 less than a second number.twice the second number is 4 less than 4 times the first.find the two numbers

Answers

Answer 1
Answer:

The equation is solved and the two numbers are x = 7 and y = 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let's call the first number "x" and the second number "y"

x = y - 5 (the first number is 5 less than the second number)

2y = 4x - 4 (twice the second number is 4 less than 4 times the first)

We can use substitution to solve for one of the variables.

Substituting the first equation into the second equation, we get:

2y = 4 (y - 5) - 4

Simplifying this equation , we get

2y = 4y - 24

2y - 4y = -24

-2y = -24

y = 12

Now that we know that the second number is 12, we can use the first equation to find the first number:

x = y - 5

x = 12 - 5

x = 7

Hence , the two numbers are 7 and 12

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Answer 2
Answer:

Answer:

9 and 14

Step-by-step explanation:

One number is 5 less than a second number.

a = b - 5

:

Twice the second number is 8 less than 4 times the first.  

2b = 4a - 8

replace a with (b-5)

2b = 4(b-5) - 8

 

2b = 4b - 20 - 8

2b - 4b = -28

-2b = -28

b = 14

then

a = 9


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Find all complex solutions of x^2=i

Answers

Simple...

it's saying x^(2) =i?

To find the answer just take the root of both sides and solve.

\sqrt{ x^(2) } = √(i)

But, remember, there's the positive side of the answer...and the negative side of the answer...

x=√(i) ,- √(i)

Thus, your answer.

Which is equivalent to 216 power of 1/3 ?
3
6
36
72

Answers

Answer:

6

Step-by-step explanation:

GIVEN :


(216)^{(1)/(3) }


Solution :

let


(216)^{(1)/(3) }=x


216 = x^(3)


6^(3) = x^(3)


⇒ x = 6


(216)^{(1)/(3) }= 6

Answer:

Option (b) is correct.

(216)^{(1)/(3)}=6

Step-by-step explanation:

Given:  216 power of 1/3

We have to find an equivalent number to  216 power of 1/3

Consider  216 power of 1/3

Writing mathematically as, (216)^{(1)/(3) }

Also, 216 can be written as product of 6 three times that is 6× 6 × 6

Thus, (216)^{(1)/(3)}=(6* 6* 6)^{(1)/(3)}

Simplify, we get,

(6* 6* 6)^{(1)/(3)}=(6^3)^{(1)/(3)}

Apply property of exponents, we have,

(a^n)^m=a^(nm)

(6^3)^{(1)/(3)}=6^{(3)/(3)}=6

Thus, (216)^{(1)/(3)}=6

Option (b) is correct.

What is the surface area? I can't figure it out...

Answers

Answer: wouldn't be 18 m because half is 9 m.

HOPE THIS HELPS :D

Answer:

A≈926.54

Step-by-step explanation:

π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr, where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.Using the formulas

A=πrl+πr2

l=r2+h2

Solving forA

A=πr(r+h2+r2)=π·9·(9+222+92)≈926.54225

A sample is representative of a population true or false

Answers

True. I hope this helps C:
False how can it be true

Find the gradient and intercept of the line y=9x-1

Answers

This equation is in slope-intercept form,so 9x = slope and -1 = y-intercept.
9x= slope and -y=y intercept

What is the inverse of the function f(x) = 4x + 8?h(x) = x – 2
h(x) = x + 2
h(x) = x – 2
h(x) = x + 2

Answers

we have

f(x)=4x+8

Step 1

Let

y=f(x)

y=4x+8

Step 2

exchanges the variable x for y and the variable y for x

x=4y+8

Step 3

Isolate the variable y

4y=x-8

y=(1)/(4)x-2

Step 4

Let

h^(-1)(x)=y

h^(-1)(x)=(1)/(4)x-2 ------> the inverse function

therefore

the answer is

h^(-1)(x)=(1)/(4)x-2


Final answer:

The inverse of the function f(x) = 4x + 8 is h(x) = (x - 8) / 4.

Explanation:

The inverse of the function f(x) = 4x + 8 can be found by switching the x and y variables and solving for y. So, we have:

x = 4y + 8

Now, we rearrange the equation to isolate y:

x - 8 = 4y

y = (x - 8) / 4

Therefore, the inverse function is h(x) = (x - 8) / 4.