What is direct and inverse variation?

Answer: 9

Step-by-step explanation:

f(g(4)) is the value of 4 in function g and then in function f

Step 1. Find g(4)

g(x)=x²

g(4)=4²

g(4)=16

Step 2. Find f(g(4))

f(x)=x-7

f(g(4))=g(4)-7

f(16)=16-7

f(16)=9

Answer:

9

Step-by-step explanation:

edg 2020

Answer: The choice with the two equivalent expressions is B.

Step-by-step explanation:

Here's how I got my answer:

Do each equation carefully and be sure to pay attention to the order of the multiplication, subtraction, addition, parentheses and division signs. Since B. is just the Associative Property (it means that it has been grouped in a different way) then it is the same as the first equation.

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{2.58}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 \frac{7}{12} }[/tex]

Convert the mixed fraction into improper fraction

⇒[tex] \sf{ \frac{2 \times 12 + 7}{12} }[/tex]

⇒[tex] \sf{ \frac{24 + 7}{12} }[/tex]

⇒[tex] \sf{ \frac{31}{12} }[/tex]

Calculate

⇒[tex] \sf{ 2.58}[/tex]

Hope I helped !

Best regards!

The mixed number  [tex]2\frac{7}{12}[/tex]  as a decimal is approximately 2.58333 as per th rule of simplification.

To simplify [tex]2\frac{7}{12}[/tex] as a decimal form, we need to convert the mixed number to an improper fraction and then perform the division.

First, multiply the whole number (2) by the denominator of the fraction (12), and add the numerator (7). This gives us 2 x 12 + 7 = 24 + 7 = 31.

Now, the numerator of the improper fraction is 31, and the denominator remains the same (12). Therefore, the improper fraction is 31/12.

To convert this improper fraction to decimal form, divide the numerator (31) by the denominator (12):

31 ÷ 12 = 2.58333 (rounded to five decimal places)

Hence,  [tex]2\frac{7}{12}[/tex]  as a decimal is approximately 2.58333.

It's important to note that the decimal form is an approximation because fractions can have repeating decimal representations. In this case,  [tex]2\frac{7}{12}[/tex]  can be expressed exactly as a fraction but has a repeating decimal approximation when converted to decimal form.

To learn more about the decimal;

https://brainly.com/question/15945576

#SPJ6

The complete question:

Simplify 2 7/12 as a decimal form.

Answer:

Step-by-step explanation:

Let the amount of correct answer gotten be x and that of wrong answer be y. The sum of Jay score = 5x+ (-2)y [since(+5)marks are give for every correct answer and (-2)marks for every incorrect answer]

If Jay answered all questions and scored (-12)m, then 5x - 2y = -12

If Jay got four answers correctly, the number of correct answers x = 4

Substituting x = 4 into the equation 5x - 2y = -12 to get the value of y, we will have;

5(4) - 2y = -12

20 - 2y = -12

-2y = -12-20

-2y = -32

y = 16

This means that Jay attempted 16 incorrect answers.

Answer:

2x + y > 4

(1,3) → 2(1) + 3 = 5 > 4 -- solution

(2, 0) → 2(2) + 0 = 4 = 4 -- not a solution

(4, -5) → 2(4) - 5 = 3 < 4 -- not a solution

(-1, 8) → 2(-1) - 8 = -10 < 4 -- not a solution

|6|  is equal to 6

|-6|  is equal to 6

-|6|  is NOT equal to 6

-|-6|  is NOT equal to 6

|0 - 6|  is equal to 6

|-2| · |3| is equal to 6

Hope this helps!  (❁´◡`❁)

Answer:  |6|, |-6|, |0-6|, |-2| x |3|

Step-by-step explanation:

if the negative sign is in front of the line instead on inside it makes the whole thing negative.  Anything inside the lines is automatically positive.

Answer:

67

Step-by-step explanation:

● -(x + 3) + (y - 5) + (z - 6)

● -x - 3 + y - 5 + z - 6

● (-x + y + z) + (3 -5 -6)

● 75 + 3 - 11

● 78 - 11

● 67

Answer:

[tex]y = \frac{1}{5}x[/tex]

Step-by-step explanation:

Given

Yearly Cost for members; [tex]y = \frac{1}{10}x + 6[/tex]

Required

Determine the yearly cost for non members

From the question, we understand that:

A non member pays $0.20 for each game;

Yearly cost is then calculated as thus;

y = Amount * Number of Games

Where:

Amount = $0.2 and Number of Games = x

[tex]y = 0.20 * x[/tex]

Convert 0.2 to fraction

[tex]y = \frac{2}{10} * x[/tex]

Divide the numerator and the denominator by 2

[tex]y = \frac{1}{5} * x[/tex]

[tex]y = \frac{1}{5}x[/tex]

Hence, the yearly cost for non members is

[tex]y = \frac{1}{5}x[/tex]

Answer:

y = y equals 1 Over 5 x. x

Step-by-step explanation:

So c

please rate me brainliest i need 5!!!!!!

Answer:

7 days

Step-by-step explanation:

If you are using [tex]\frac{5}{6}[/tex] of a bag of coffee per day, and you have [tex]5 \frac{5}{6}[/tex] bags of coffee, you want to find how many times [tex]\frac{5}{6}[/tex] goes into [tex]5 \frac{5}{6}[/tex].

This can be found using division.

First let's convert  [tex]5 \frac{5}{6}[/tex] into an improper fraction:

[tex]5 \frac{5}{6} = \frac{(6\cdot5) + 5}{6} = \frac{35}{6}[/tex]

Now we set up our division equation:

[tex]\frac{35}{6} \div \frac{5}{6}[/tex]

To divide, we multiply by the reciprocal, so:

[tex]\frac{35}{6} \div \frac{5}{6} = \frac{35}{6} \cdot \frac{6}{5} = \frac{210}{30}[/tex]

Dividing both the numerator and denominator of [tex]\frac{210}{30}[/tex] by 30 gets us [tex]\frac{7}{1}[/tex], which is just 7.

Hope this helped!

Answer:

7 days or 1 week

Step-by-step explanation:

First, know what the equation is. In this case, it's 5 5/6 divided by 5/6, since you need to divide the amount you have by how much you use every day to find out how many days it will last.

The equation is 5 5/6 ÷ 5/6, but since that is harder to solve, turn the 5 5/6 into an improper fraction: 35/6

Now, just solve 35/6 ÷ 5/6, so this means you have to flip your second number and multiply instead divide when dividing fractions, so the new equation is 35/6 ×6/5

That equals 210/30, and if you take out both the 0s (cancel them out), you get 21/3 and after simplifying that, you get 7/1, which is basically 7.

Roxanne's Cafe's coffee can last them 7 days or 1 week.

Answer:

[tex]\Large \boxed{\mathrm{E}}[/tex]

Step-by-step explanation:

The x-intercept is when y = 0.

[tex]y = 3x + 1[/tex]

Let y = 0.

[tex]0=3x+1[/tex]

Subtracting 1 from both sides.

[tex]-1=3x[/tex]

Dividing both sides by 3.

[tex]\frac{-1}{3} =x[/tex]

The x-intercept is negative.

Answer:

Step-by-step explanation:

7x - 11 = 5x + 3

2x - 11 = 3

2x = 14

x = 7

Answer: [tex]\left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}[/tex]

=======================================================

Explanation:

We have some number x such that x is a real number, so we write that as [tex]x \in \mathbb{R}[/tex] which is saying "x is in the real number set".

The portion [tex]-5 \le x < 16[/tex] is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.

This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.

The curly braces surrounding everything indicates that we have a set of values.

-----------------

Side note:

If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.

Though chances are your teacher will want you to stick to real numbers rather than just integers.

Answer:

OB = 8

OC = 8

OA = 8

AC = 16

BD = 16

OD = 8

Step-by-step explanation:

Given, rectangle ABCD, with diagonals AC and BD, and OC = 3x – 4, OB = x + 4,

thus, since diagonals of a rectangle are equal, therefore, AC = BD.

Invariably, 2*OC = 2*OB

Thus, [tex] 2(3x - 4) = 2(x + 4) [/tex]

Solve for x

[tex] 6x - 8 = 2x + 8 [/tex]

Add 8 to both sides

[tex] 6x - 8 + 8 = 2x + 8 + 8 [/tex]

[tex] 6x = 2x + 16 [/tex]

Subtract 2x from both sides

[tex] 6x - 2x = 2x + 16 - 2x [/tex]

[tex] 4x = 16 [/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{16}{4} [/tex]

[tex] x = 4 [/tex]

OB = x + 4 = 4 + 4 = 8

OC = 3x - 4 = 3(4) - 4 = 12 - 4 = 8

OA = OC = 8

AC = 2*OC = 2*8 = 16

BD = 2*OB = 2*8 = 16

OD = OB = 8

Answer:

Step-by-step explanation:

[tex](\frac{5}{4} + (-\frac{1}{3})) \div (\frac{5}{4} - (-\frac{1}{3}))\\\\\frac{\frac{5}{4}+\left(-\frac{1}{3}\right)}{\frac{5}{4}-\left(-\frac{1}{3}\right)}\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=\frac{\frac{5}{4}-\frac{1}{3}}{\frac{5}{4}+\frac{1}{3}}\\\\\mathrm{Join}\:\frac{5}{4}+\frac{1}{3}:\quad \frac{19}{12}\\\mathrm{Join}\:\frac{5}{4}-\frac{1}{3}:\quad \frac{11}{12}\\\\=\frac{\frac{11}{12}}{\frac{19}{12}}\\\\=\frac{11\times\:12}{12\times \:19}[/tex]

= 11/19

Answer:

199/144

Step-by-step explanation:

(5/4-1/3)(5/4+1/3)

25/16-1/9

(135-16) /144

119/144

Answer:

6

Step-by-step explanation:

(2)/((6)√(8))*√(2)-((18)/√81))-2)

(6)sqrt√8 = 6sqrt √2³= 2^3/6=2^1/2= √2

(2√2)/√2 -(-18/√9²)-2)

2-(-18/9 -2)

2-(-2-2)=2+4=6

Answer:

Step-by-step explanation:Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2+(1)/(6)*y-(3*x+4)=0  

STEP

1

:

           1

Simplify   —

           6

Equation at the end of step

1

:

        1          

 (2 +  (— • y)) -  (3x + 4)  = 0  

        6          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Adding a fraction to a whole

Rewrite the whole as a fraction using  6  as the denominator :

         2     2 • 6

    2 =  —  =  —————

         1       6  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 • 6 + y     y + 12

—————————  =  ——————

    6           6    

Equation at the end of step

2

:

 (y + 12)    

 ———————— -  (3x + 4)  = 0  

    6        

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  6  as the denominator :

             3x + 4     (3x + 4) • 6

   3x + 4 =  ——————  =  ————————————

               1             6      

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(y+12) - ((3x+4) • 6)     y - 18x - 12

—————————————————————  =  ————————————

          6                    6      

Equation at the end of step

3

:

 y - 18x - 12

 ————————————  = 0  

      6      

STEP

4

:

When a fraction equals zero

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 y-18x-12

 ———————— • 6 = 0 • 6

    6    

Now, on the left hand side, the  6  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  y-18x-12  = 0

Equation of a Straight Line

4.2     Solve   y-18x-12  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-18x-12  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 12/1 so this line "cuts" the y axis at y=12.00000

 y-intercept = 12/1  = 12.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 2/-3 Our line therefore "cuts" the x axis at x=-0.66667

 x-intercept = 12/-18 = 2/-3  = -0.66667  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 12.000 and for x=2.000, the value of y is 48.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 48.000 - 12.000 = 36.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = 36.000/2.000 = 18.000  

Geometric figure: Straight Line

 Slope = 36.000/2.000 = 18.000

 x-intercept = 12/-18 = 2/-3 = -0.66667

 y-intercept = 12/1 = 12.00000

Answer:

4.78125

Step-by-step explanation:

Step 1

Find the mean

Mean = Sum of Terms/Number of Terms

Mean = 7+5+ 16+20+ 17+ 9+ 18+ 15/8

= 107/8

= 13.375

Step 2

Find the Mean Absolute Deviation

Mean Absolute Deviation formula = |x - Mean|/n

Mean Absolute Deviation =[ |7 - 13.375| +| 5 -13.375|+ |16 - 13.375| + |20 - 13.375| +| 17 - 13.375| + |9 - 13.375 | +| 18 -13.375|+|15 - 13.375|] /8

Mean Absolute Deviation = 4.78125

Therefore, the Mean Absolute Deviation (M.A.D.) for these students = 4.78125

Answer:

24 is x=2

Step-by-step explanation:

Answer:

14 years

Step-by-step explanation:

To find the answer, you have to use the formula to calculate the time period:

t=(1/r)*(A/P-1), where:

t= time period

r= rate of interest=5%

A= accrued amount=$8,500

P= principal amount=$5,000

Now, you can replace the values in the formula:

t=(1/0.05)*(8,500/5,000-1)

t=20*0.7

t=14

According to this, the answer is that the money has been 14 years in the account.

Answer:

2nd option is true

Step-by-step explanation:

Answer:

9.9 quarters or Approximately ≈ 10

Step-by-step explanation:

Let n = number of nickels

d =number of dimes

q = number of quarters

n + d + q = 30 coins....... Equation 1

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

0.05n + 0.10d + 0.25q =$ 3.65.......Equation 2

There are twice as many nickels as there are dimes.

Hence

n = 2d

n + d + q = 30 coins

2d + d + q = 30 coins

3d + q = 30 coins........Equation 3

3d = 30 - q

d= 30 - q/3

0.05n + 0.10d + 0.25q =$ 3.65

Since n = 2d

0.05(2d) + 0.10d + 0.25q = $3.65

0.10d + 0.10d + 0.25q = 3.65.........Equation 4

Substitute 30 - q/3 for d in Equation 4

0.10(30 - q/3) + 0.10(30 - q/3) + 0.25q = 3.65

= 3 - 0.10q/ 3 + 3 - 0.10q/3 + 0.25q

(3 - 0.10q) + (3 - 0.10q) + 3(0.25q)/ 3 = 3.65

Cross multiply

(3 - 0.10q) + (3 - 0.10q) + 3(0.25q) = 3 × 3.65

3- 0.10q+ 3 - 0.10q + 0.75q = 10.95

6 - 0.20q + 0.75q = 10.95

0.50q = 10.95 - 6

0.50q = 4.95

q = 4.95/0.50

q = 9.9 quarters

Therefore, the numbers of quarters is approximately ≈ 10 quarters

Answer:

Step-by-step explanation:

41. -3

42. 3

43 y^19

Answer:

41 )  b²/b^8=b^-6 ( when divide subtract exponents)

42 ) x.x².x^6=x^9   ( when multiply add exponents)

43) y^25/y^19 = y^6

44 )  when you divide numbers you make it smaller, so subtract the exponent will make the value of the base smaller.

Answer:

8x + 8 = 6x + 20/3

Step-by-step explanation:

Answer:

B 6/11

Step-by-step explanation:

The answer for edge 2021 is.....c-6/11

Answer:

-$240

Step-by-step explanation:

40 x 6 is 240 so it changed by -$240 since it was a withdrawal

Answer:

-40 * 6 = -240

Step-by-step explanation:

Withdrawing money creates a negative number. The weeks are a positive number. So, you get -40 * 6. A negative times a positive number gives you a negative number for an answer.

Answer:

Step-by-step explanation:

[tex]8-7x-6-8x=5\\\\\mathrm{Group\:like\:terms}\\-7x-8x+8-6=5\\\\\mathrm{Add\:similar\:elements:}\:-7x-8x=-15x\\-15x+8-6=5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\-15x+2=5\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\-15x+2-2=5-2\\\\Simplify\\-15x=3\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\frac{-15x}{-15}=\frac{3}{-15}\\\\Simplify\\x=-\frac{1}{5}[/tex]

Answer:

37 ounces

Step-by-step explanation:

1 pound =16 ounces

2 pounds =16*2=32 ounces

16+3=19 ounces

weight of the kitten 1 month later=56 ounces

56-19=37