4 subtracted from twice w, the result is 20 more than w. Find w

Answer: 1= ( 13 + 4g )

2= ( 4(10) + 13 )

3= ( 13 + 4(10) )

4= ( 53 )

5= ( 21 )

Step-by-step explanation:

The equivalent expression by cumulative property is,

                    [tex]4g+13=13+4g[/tex]

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

                      [tex]a+b=b+a[/tex]

Given expression is,  [tex]4g+13[/tex]

The equivalent expression by cumulative property is,

                    [tex]4g+13=13+4g[/tex]

For [tex]g=10[/tex],    

                    [tex]4(10)+13=13+4(10)\\\\40+13=13+40\\\\53=53[/tex]

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Answer:

Step-by-step explanation:

g(f(x))

g(-x^2 - 1)

-x^2 + 0x + 4= -x^2 + 4

Answer: Function g reflected function f across the x-axis.

For function g, as x approaches negative infinity, g(x) approaches negative infinity.

Function f is symmetrical about the point (4,6).

The correct options are Option A and Option C : Function g is reflected of function f across the x-axis. and as x approaches to the -∞, g approaches to the -∞.

Here given that the function g(x)= -(x-4)²+6

vertex of the graph of the function g is

dg/dx=0

⇒2(x-4)=0

⇒x-4=0

⇒x=4

putting x=4 in g(x) , g(4)= -(0-0)²+6=6

Hence the vertex of the graph of g is (4,6).

The parent function is f(x)= x²

here the vertex of the function is (0,0).

Option A: This option is true as the graph of function g is the inverse image of f. So,  Function g is reflected of function f across the x-axis.

Option B: This option is incorrect. as the vertex of the function f is transformed to (4,6) which is the vertex of g(x).

Option C:  This option is true because

 [tex]\lim_{x \to- \infty} g(x)[/tex]

= [tex]\lim_{x \to- \infty} -(x-4)^2+6\\[/tex]

= -(∞-4)²+6

=-∞²+6

=-∞

Hence as x approaches to the -∞, g approaches to the -∞

Option D. This option is incorrect because

if the function is always decreasing its derivative is negative for all x∈R

dg/dx<0

⇒2(x-4)<0

⇒x-4<0

⇒x<4

so the function is decreasing for x<4 not for all x.

Option E: This option is incorrect. because g is not always rather it is positive for 4-√6 < x < 4+√6

g(x)>0

⇒-(x-4)²+6 >0

⇒-(x-4)²>-6

⇒(x-4)²<6  

⇒|x-4|<√6

⇒4-√6<x<4+√6

so, g(x) is positive for 4-√6 < x < 4+√6

Option E:
This option is incorrect as g(x) is symmetrical about line x=4.

Therefore the correct options are Option A and Option C : Function g is reflected of function f across the x-axis. and as x approaches to the -∞, g approaches to the -∞.

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Answer:

irrational

Step-by-step explanation:

Answer:

It's rational because it isn't a decimal with no end. To simplify it even more, it is an integer.

Step-by-step explanation:

The cost of one pound beef is $3.2

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Cost 4.5 pound of beef = $14.40

So, the unit rate for beef

= 14.40 / 4.5

= $3.2

Hence, the cost of one pound beef is $3.2

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Answer:

5/7

Step-by-step explanation:

6/7-1/7=5/7

The answer is 6/7 - 1/7 = 5/7

Step by step explanation is in the image below. :)

Answer:

The mean is 41

Step-by-step explanation:

Here , we are interested in finding the mean.

Firstly, let the standard deviation be x and the mean be y.

We are told that 51 is 2 standard deviations above the mean. What this mean is that if we subtract 2 standard deviations from 51, we will arrive at the mean.

Mathematically;

51 - 2(x) = y

y + 2x = 51 •••••••••(i)

We are also told that 36 is one standard deviation below the mean. What this mean is that if we subtract one standard deviation from the mean, we will have 36

Mathematically, that would be;

y-36 = x •••••••(ii)

Substitute ii into i directly;

We have

y + 2(y-36) = 51

y + 2y -72 = 51

3y -72 = 51

3y = 51 + 72

3y = 123

y = 123/3

y = 41

Answer:

-6430041/50000000000

Step-by-step explanation:

so -6 to the power of negative 5 is -0.00012860082 which as a fraction is -6430041/50000000000

Answer:

(-1,-3)

Step-by-step explanation:

I hope this help

Answer:

A' (3, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , thus

A(3, 7 ) → A'(3, - 7 )

Answer:

2x - 5 - x²

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 2x - 5 - x²

Answer:

interest rate (r)=0.049%

principal (p) =1100

Time (t)= 1/12

interest = (1100*1/12*0.049)/100 = 0.045

please check question once

Answer:

Step-by-step explanation:

-3x + y = 22     ⇒  y = 3x + 22

-12x - 10y = -10  and  y = 3x + 22

-12x - 10(3x + 22) = -10

-12x - 30x - 220 = -10

               +220       +220

 - 42x  = 210  

 ÷(-42)     ÷(-42)

    x = -5

y = 3(-5) + 22 = -15 + 22 = 7

Step-by-step explanation:

this is your answer..........

Answer:

h = 40w

Step-by-step explanation:

40 per week

hours = 40 x amount of weeks

h = 40w

Answer:

g(x) = 4|x| +2

Step-by-step explanation:

f(x) = |x|

y = f(x) + C  C > 0 moves it up

g(x) = |x| +2 moves it up 2 units

y = Cf(x)  C > 1 stretches it in the y-direction

g(x) = 4|x| +2 stretch by 4

We start off with: f(x) = |x|

c > 0 means move up

y = f(x) + c

2 units up

After: g(x) = |x| + 2

c > 1 means y-direction stretch

y = cf(x)

4 unit stretch

After: g(x) = 4|x| + 2

Best of Luck!

Answer:

10y+16

Step-by-step explanation:

Distribute and combine like terms

Answer:

c has greatest ratio output with 0.6 compared to other

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.

Step 1: Combine like-terms.

2x + 118 = 180

Step 2: Subtract 118 from both sides to isolate the variable.

2x = 62

Step 3: Simplify

x = 31

Answer:

900 miles

Step-by-step explanation:

well if you have 12.5 and you divide it by 2.5 you get 5. I do this because you need to find out how many time 2.5 goes into 12.5 so you can then multiply 180 by that number. 180*5=900

Answer:

Step-by-step explanation:

Monomials have only one term each.

Thus:

-7 is a monomial

a   is a monomial

x + y   is NOT a monomial ; it has two terms and is thus a binomial

1/x    is a monomial

24r^2st^3    is a monomial

ab/5    is a monomial

bx

[tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.

"Monomials are defined as the polynomial which represents a single term. This single may consist of two or more numbers and variables with highest exponents."

According to the question,

From the given terms,

-7 is a single term .

Therefore, monomial.

a is a single term .

Therefore, monomial.

x + y is not a single term .

Therefore, it is not a monomial.

[tex]\frac{1}{x}[/tex]  is a single term .

Therefore, monomial.

[tex]24r^{2} st^{3}[/tex] is a single term .

Therefore, monomial.

[tex]\frac{ab}{5}[/tex] is a single term .

Therefore, monomial.

b x  is a single term .

Therefore, monomial.

Hence, [tex]-7, a, \frac{1}{x} , 24r^{2} st^{3} , \frac{ab}{5}, bx[/tex] all these terms represents monomials.

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Answer:

Yes

Step-by-step explanation:

The constant is $1.75 each

Answer:

-6-b

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/100+33/100=36/100=0.36≈0.4(round to one decimal place)

Answer:

A

Step-by-step explanation:

in the end of the sentence it mentions "in the future" so you need to make that verb future tense as well

I think the correct answer is A.

Explanation: It just makes the most sense to me. I dont really know how to explain it any better! Im sorry! I hope this helped!! :)

Since the measure of angle DOC = 44 degrees and it's the central angle of arc DC, the measure of arc DC = 44 degrees