Hey, i really need help simplifying radicals. i dont know how to simplify with negatives, could someone give a step-by-step for this one? -6√150r

Answer:

51

Step-by-step explanation:

$3 time 7 = $21

$5 time 6 =30

21+30 = $51

When y = 4 and x = 2, the inverse variation equation is y = 8/x

Inverse variation is variation in which the relationship between two variables is an inverse one. That is, while one variable increases, the other decreases.

Given that in an inverse variation, y = 4 when x = 2. Since y and x have an inverse relationship, we have that

y ∝ 1/x, this implies that

⇒ y = k/x where k = constant of proportionality

Now, given that  in an inverse variation, y = 4 when x = 2. Substituting the values of y and x into the equation, we have that

y = k/x

4 = k/2

k = 4 × 2

k = 8

So, susbstituting k = 8 into the equation for y, we have

y = k/x

y = 8/x

So, the inverse variation equation is y = 8/x

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Without calculating you would that  x=-2 is an extraneous solution because an absolute value inequality usually two possible solutions.

Solution of absolute value inequalities

An absolute value inequality is an expression with absolute functions as well as inequality signs. This type of inequality usually have two solutions.

The given equation

|4x + 20| = 6x

The solution to the absolute value inequality above is calculated as follows;

4x + 20 = 6x ------ (1)

-4x - 20 = 6x   ------ (2)

from equation (1) above, the value of x is calculated as follows;

2x = 20

x = 20/2 = 10

from equation (1) above, the value of x is calculated as follows;

-10x = 20

-x = 20/10

-x = 2

x = -2

Thus, without calculating you would that  x=-2 is an extraneous solution because an absolute value inequality usually two possible solutions.

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Answer:(5x+1)(x+1)

Step-by-step explanation:

Factor 5x2+6x+1

5x2+6x+1

=(5x+1)(x+1)

hope its correct by my correction

Answer:

Step-by-step explanation:

This is a straight line with positive gradient 4/7

There is no horizontal asymptote.

Answer:

  1.6 qt/s

Step-by-step explanation:

You want the fill rate of 24 gal/min converted to quarts per second.

To convert units, multiply by a factor that has units you want and cancels units you don't want. The numerator value and the denominator value of the conversion factor should be equal:

  4 qt = 1 gal

  1 min = 60 s

Your conversion is ...

  [tex]\dfrac{24\text{ gal}}{\text{min}}=\dfrac{24\text{ gal}}{\text{min}}\times\dfrac{4\text{ qt}}{1\text{ gal}}\times\dfrac{1\text{ min}}{60\text{ s}}=\dfrac{24\cdot4}{60}\,\dfrac{\text{qt}}{\text{s}}=\boxed{1.6\text{ qt/s}}[/tex]

Answer:

21

Step-by-step explanation:

→ Substitute in the values

3³ + 11 × 2 - ( 4 × 7 )

→ Simplify

27 + 22 - 28

→ Evaluate

21

After solving the given inequality the answer is x∈(-∞, 2/15].

So,

Then,

Therefore, after solving the given inequality the answer is x∈(-∞, 2/15].

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The required domain of g ( x ) = 3 x - 1 is R ( real nos . ) .

Given : g ( x ) = 3 x - 1

To find : Domain of function

Domain : The set of all possible values of input variable  ( x in this case ) is called the domain of the function .

Calculating domain :

g ( x ) = 3 x - 1

Since , it is a polynomial function with degree 1 , therefore it's domain will be real nos .

Hence , domain of g ( x ) = 3 x - 1 is R .

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Answer: x² + y² = 9 is not a function

Step-by-step explanation: In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation. and therefore the equation is not a function.

x^2+y^2=9

if for example x=0

There are two values for y(namely+3 and -3) which satisfy the equation and therefore the equation is not a function

The number of tiles is mathematically given as

x=2500Tiles

This is further explained below.

Generally, the equation for the Area of the floor is  mathematically given as

A= 20*5

A = 100m^2

Where

20*20=400cm

Therefore no tiles needed is

x=100*10000/400

x=2500Tiles

In conclusion, the number of tiles is

x=2500Tiles

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CQ

\A floor 5m by 20m is covered by square tiles of side 20cm. How many tiles are needed?

Answer:

Step-by-step explanation:

The constant of proportionality is 70.

Step-by-step explanation:

I cannot draw here but f(x) + y simply means everything moves up by 6 units.

the line is parallel to the original line and goes now through the points (0, 4) and (1, 8).

Check the picture below.

The value for g(f(-4)) = -4

Given:

          g(x) = 3 x+2 and  f(x)= x-2 / 3

Take,   f(x) =  x-2 / 3

substitute x = -4  into the function f(x). Then:

           f(-4)  = (-4)-2/ 3

           f( -4)  = -6/3

           f( -4)  = -2

Now, the next step is to substitute  f(-4) into the function g(x)

            g(x) = 3 x+2

         g(f( x)) = 3 x+2

         g(f(-4)) = 3(-2) +2

          g(f(-4) = -6+2

         g(f(-4) = -4

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The relation between these two variables can be represented by the linear equation:

y = 4ft + 2.5ft*x

We know that the original height of the tree was 4 ft, and it grows 2.5 feet each year.

Then if we define the variables:

y = height.

x = number of years.

The relation between these two variables can be represented by the linear equation:

y = 4ft + 2.5ft*x

This linear equation relates the height of the tree as a function of the number of years since it was planted.

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Answer:

y = 4ft + 2.5ft*x

Step-by-step explanation:

Answer:

^{4}+36+8x^{2}

x^{4}+8x^{2}+36

Step-by-step explanation:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.  

i hope this helped

The total change in the weight of Callie's cat will be - 1 5/8 pounds.

Callie's cat lost weight = 4 1/2 pounds

Lost = 9 / 2 pounds

Cat gained the weight = 2 7/8 pounds

Gained = 23 / 8 pounds

Net change = - 9 / 2 pounds + 23 / 8 pounds

= - 36 / 8 pounds + 23 / 8 pounds

= - 13 / 8 pounds

= - 1 5/8 pounds

She lost the net weight of 1 5/8 pounds.

Therefore, the total change in the weight of Callie's cat will be - 1 5/8 pounds.

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Answer:

the answer is 43.1

Step-by-step explanation:

because i searched it up

In linear equation, the missing value is a 16.

According to the statement

We have to find that the value of the linear equation.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

It is given that:

The equation shown includes a missing value.

-2(2x - ?) + 1 = 17 - 4x

Applying the distributive property:

-4x + ? + 1 = 17 - 4x

? + 1 = 17

There aren't any values that the equation has only 1 solution or unique solutions.

For no solution the missing value are often anything except 16

? + 1 = 17

? = 17 - 1

? = 16

Thus, there aren't any values that the equation has just one solution for no solution the missing value are often anything except 16.

So,In linear equation, the missing value is a 16.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

The equation shown has a missing value. -2(2x-?)+1=17-4x. For what missing value(s), if any, does the equation have exactly one solution?For what missing value(s), if any does the equation have no solution?

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Answer:

Below.

Step-by-step explanation:

In Δ ABC m < B = 180 - (50+70) = 60 degrees.

in Δ DEF m < D = 180- ( 60 + 70) = 50 degrees.

BC = DE  ( both are 10 cm).

m < A = m < F  ( both 70 and directly opposite BC and DE)

m < C = m < D (corresponding angles and both = 50 degree)

Therefore, Δ's ABC and DEF are congruent by AAS.

Step-by-step explanation:

2 things to remember :

the sum of all angles in a triangle is ashtrays 180°.

the sum of all angles around a point on one side of a line is also always 180° (because that represents a half-circle).

let's call the 3rd angle in the triangle "innerQ".

so,

180 = (4x + 13) + 19 + innerQ

180 = (7x + 2) + innerQ

as innerQ is also the supplementary angle of 7x + 2.

because of that, we can now say

(4x + 13) + 19 + innerQ = (7x + 2) + innerQ

4x + 13 + 19 = 7x + 2

4x + 32 = 7x + 2

30 = 3x

x = 10

so, the angle S = 4×10 + 13 = 40 + 13 = 53°

The quotient 49/109 ÷ 28/37 represents a quotient expression. This is because 49/109 is the dividend and the number 28/37 is the divisor. The quotient of 49/109 ÷ 28/37 is 259/436

The quotient expression is given as

49/109 ÷ 28/37

The above expression is a quotient expression such that

To calculate the quotient, we start by rewriting the expression as a product

So, we have:

49/109 ÷ 28/37 = 49/109 * 37/28

Divide 49 and 28 by 7

So, we have

49/109 ÷ 28/37 = 7/109 * 37/4

Multiply the numerator and the denominator

So, we have

49/109 ÷ 28/37 = 259/436

Hence, the complete statement is

The quotient 49/109 ÷ 28/37 represents a quotient expression. This is because 49/109 is the dividend and the number 28/37 is the divisor. The quotient of 49/109 ÷ 28/37 is 259/436

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The polynomial function is x²- 3xi  + 4

In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. A polynomial equation has positive numbers as their exponent which is also known as its degree. All the equations such as quadratic equation, cubic equation which has non  negative number as their powers are part of polynomial equation.

Types of polynomial equations :

Some examples of polynomial equation are :

According to question,

roots are -i , 4i

Thus the factors are :

(x - (-i) ) ( x - (4i) )

=> ( x + i )( x - 4i )

=> x²- 4xi + xi - 4i²

=> x²- 3xi  + 4         ( as i² = -1)

Thus polynomial function for given roots is x²- 3xi  + 4

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Answer:7

Step-by-step explanation:

Triangle fits inside of a rectangle (A=15).

If the rectangle is drawn around the triangle, three other right triangles are formed outside of it. Find the area of each right triangle (4, 1.5, and 2.5), add those together, and subtract from the area of the rectangle.

(15 - 8 = 7)