The number of books Jason reads each week is inversely proportional to the number of hours he spends with his friends if Jason read three books and spent four hours with his friends one week how many books does he read during the week in which he spent six hours with his friends

Answer:

-30 -45K

Step-by-step explanation:

-5(6+9K)

Distribute

-5 * 6 + -5 * 9k

-30 -45K

Answer:

First, you have to substitute your x and y.

This looks like

(-6)(-2 - 12) because you multiplied (-2)(1) and (-4)(3)

Then, you have to do what's in the parenthesis because of order of operations.

(-6)(-14)

The answer is 84 I believe.

Answer:

4+x

Step-by-step explanation:

[tex]Let\: the\:unknown\:number\:be \:x\\\\= x +4[/tex]

Answer:

x + 4

Step-by-step explanation:

The sum - '+'

Of a number - 'x'

And four - '4'

The sum of a number and 4 would be 'x + 4'.

Hope this helps.

Answer:

5x²y + 4xy - 4

Step-by-step explanation:

Step 1: Write out expression

5x²y - 3xy - 8 + 7xy + 4

Step 2: Combine like terms (xy)

5x²y + 4xy - 8 + 4

Step 3: Combine like terms (constants)

5x²y + 4xy - 4

Answer:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex](1,\infty)[/tex]

Step-by-step explanation:

The domain of a function is the span of x-values it covers.

The range of a function is the span of y-values it covers.

From the graph, we can see that the domain stretches infinitely in both directions. Therefore, the domain is all real numbers.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

For the range, note that horizontal line at y=1.

The dotted line tells us that there is a horizontal asymptote there. In other words, y would never reach exactly 1.

Thus, our range would be all values greater than 1 (to positive infinity).

In interval notation, this is:

[tex](1,\infty)[/tex]

And we're done :)

Step-by-step explanation:

Take the LCM of the denominators:

=> LCM = 18

=> -7/9 x 2/2 = -14/18

=> -4/9 x 2/2 = -8/18

=> 1/9 x 2/2 = 2/18

=> 1/2 x 9/9 = 9/18

When the number is negative, the greater the number, the smaller it is.

So, -14 is smaller than -8.

< = smaller than

=> -14/18 < -8/18 < 2/18 < 9/18

=> -7/9 < -4/9 < 1/9 < 1/2

Answer:

-7/9, -4/9, 1/9, 1/2

There's no change as this list is already from smallest to largest

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

Explanation:

We can get each denominator to 18 as this is the LCD (lowest common denominator)

-7/9 = -14/18 ... multiply top and bottom by 2

-4/9 = -8/18 ... multiply top and bottom by 2

1/9 = 2/18 ... multiply top and bottom by 2

1/2 = 9/18 ... multiply top and bottom by 9

We now have to sort this list {-14/18, -8/18, 2/18, 9/18}

Which is the same as sorting {-14, -8, 2, 9} since we can focus solely on the numerators. This only applies when the denominators are the same.

The list {-14, -8, 2, 9} is already sorted from smallest to largest. Think of a number line. We would have -14 as the left most value, then -8 is next, followed by 2 and then 9.

So the original list of fractions {-7/9, -4/9, 1/9, 1/2} is already sorted from smallest to largest.

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

An alternative is to use your calculator to see that

-7/9 = -0.78 approximately

-4/9 = -0.44 approximately

1/9 = 0.11 approximately

1/2 = 0.50

The order from least to greatest is

-0.78, -0.44, 0.11, 0.50

The -0.78 is smaller than -0.44 since its further away from 0

So the order would be

-7/9, -4/9, 1/9, 1/2

and there's no change from the original order your teacher gave you.

Answer:

Step-by-step explanation:

[tex]f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\[/tex]

To find f(-2) , Substitute -2 for x in the given equation ;

[tex]f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2[/tex]

To find g(f(-2)) ;

[tex]g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\[/tex]

To find g(2) , substitute 2 for x in the given equation

[tex]g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7[/tex]

Value of g(f(-2)) is equals to 7.

"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."

According to the question,

Given,

f(x) = x² + x

g(x) = 3x + 1

Substitute the value x=-2 in function f(x) we get,

f(-2) = (-2)² +(-2)

      = 4 -2

      = 2                                         ______(1)

Again substitute the value of x = f(-2) in g(x) to get composition function,

g(f(-2)) = 3f(-2) +1

Substitute the value f(-2) from (1) we have,

   g(f(-2)) = 3(2) + 1

⇒ g(f(-2)) = 7

Hence, value of g(f(-2)) is equals to 7.

Learn more about composition function here

https://brainly.com/question/20379727

#SPJ2

Answer:

The expression is false

Step-by-step explanation:

Given

[tex]f - (g - h) = (f - g) - h[/tex]

Required

True or False

To determine if the expression is true or false, we need to simplify both sides of the equation

[tex]f - (g - h) = (f - g) - h[/tex]

Start by opening the bracket on the right hand side

[tex]f - (g - h) = f - g - h[/tex]

Then open the bracket on the left

[tex]f - g + h = f - g - h[/tex]

Subtract f - g from both sides

[tex]f - g - (f - g) + h = f - g - (f - g) + h[/tex]

[tex]f - g - f + g + h = f - g - f + g - h[/tex]

[tex]f - f - g + g + h = f - f - g + g - h[/tex]

[tex]h \neq -h[/tex]

Hence;

The statement is false

To further check;

Assume f = 5; g = 4 and h = 3

[tex]f - (g - h) = (f - g) - h[/tex] becomes

[tex]5 - (4 - 3) = (5 - 4) - 3[/tex]

[tex]5 - 4 + 3 = 5 - 4 - 3[/tex]

[tex]2 \neq -2[/tex]

Answer:

They are equal.

Step-by-step explanation:

Step 1: Evaluate 16/28

16/28 = 0.571429...

Step 2: Evaluate 28/49

28/49 = 0.571429...

Step 3: Compare

0.571429... ? 0.571429...

0.571429... = 0.571429...

So 16/28 = 28/49

Answer: Line BC and Line DE

Step-by-step explanation:

In geometry terms, we can say that for any set of two points, we always can find a line that passes through them.

For example, in the image, we can see two lines (but actually we could make more with those points)

We can see a line that connects points B and C, and we can call that line as:

Line BC

We also can see a line that connects the points D and E, we can call this line as:

Line DE

So the two lines are: Line BC and Line DE

Answer:

0.6 deg/s²

Step-by-step explanation:

Acceleration is the time rate of change of velocity, it is the ratio of velocity to time. The formula for acceleration is given by:

Acceleration = Change in velocity / time taken = (Final velocity - Initial velocity) / time

Given that the acceleration is 2160 deg/min², we have to convert it to deg/s²

1 min = 60 seconds

1 min² = 60² s² = 3600 s²

[tex]2160\ deg/min^2=\frac{2160\ deg}{1\ min^2*3600\ \frac{s^2}{min^2} }=0.6\ deg/s^2\\ \\2160\ deg/min^2=0.6\ deg/s^2[/tex]

Answer:

0.6

Step-by-step explanation:

Answer:

1)     x = 24

    AB = 33

    AD = 33

2)     x = 7

    PS = 21

    QR = 21

3)    x = 36

      K = 104

     N = 76

Step-by-step explanation:

1)  5x-87 = x+9

   4x = 96

   x = 96/4

   x = 24

   AB = 5(24)-87 = 33

   AD = 24 + 9 = 33

2)  4x - 7 = 3x

     x = 7

    PS = 4(7) - 7 = 21

    QR = 3(7) = 21

3)  x + 68 + 2x + 4 = 180

    x = 36

    K = 36 + 68 = 104

    N = 2(36) + 4 = 76

Answer:

fundamental orders of connecticut

Step-by-step explanation:

Answer:

(5, 6)

Step-by-step explanation:

(5, 6)

x, then y.

one grid space is one up or down.

Good luck mate :)

Answer:

no solution

Step-by-step explanation:

u cant multiply when there is an equal

Answer:

6x−5=(2)(3)x+4

Step 1: Simplify both sides of the equation.

6x−5=(2)(3)x+4

6x+−5=6x+4

6x−5=6x+4

Step 2: Subtract 6x from both sides.

6x−5−6x=6x+4−6x

−5=4

Step 3: Add 5 to both sides.

−5+5=4+5

x=9

First, turn the fraction into a decimal.

9.75

Second, multiply by 100%.

9.75 * 100% = 975%

Best of Luck!

Answer:

The answer is 5

Step-by-step explanation:

Given g(x)=3x2+3 find x if g(x)=78 = 5

Hope this helped you :)

Answer:

x = ± 5

Step-by-step explanation:

Given

g(x) = 3x² + 3 and g(x) = 78 , then equate the right sides, that is

3x² + 3 = 78 ( subtract 3 from both sides )

3x² = 75 ( divide both sides by 3 )

x² = 25 ( take the square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

That is x = - 5 or x = 5

Answer:

The number 25 is a rational number.

It is a whole number which can be written as the fraction 25/1.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

Answer:

$8

Step-by-step explanation:

We want to find the difference between the money Clare has and the money she needs.

Difference means subtract, so we should subtract the amount of money she has from the amount she needs.

money needed - money she has

She has $110 and she needs $118 to purchase the MP3 player.

$118 - $110

Subtract 110 from 118.

$8

The difference between the money Clare has and the money she needs is 8 dollars.

Answer:

77

Step-by-step explanation:

3.5(11)+1.9(11)+1.6(11)

3.5(11)=38.5

1.9(11)=20.9

1.6(11)=17.6

38.5+20.9+17.6

77

Answer:

36

Step-by-step explanation:

● 3[ (4-2)^5 -20]

● 3 ( 2^5 -20 )

● 3 (32-20)

● 3× 12

● 36

Answer:

x=2.5

Step-by-step explanation:

2.5x=5

subtract 2.5 from itself and 5

x=2.5

Answer:

D. -3x

Step-by-step explanation:

Terms have the form k or kx^n, where k is a number, x is a variable, and n is a whole number.

-3x follows the above rule, so -3x is a term.

Answer:

D

Step-by-step explanation:

Hi...

Answer:

La respuesta es 1/5.

Step-by-step explanation:

porque el 1 pastel se divide en 5 personas.

Espero que esto ayude.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-9) and (-1,4)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

[tex]\sqrt{178}[/tex] ≈ 13.3

Step-by-step explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = (2, - 9) and (x₂, y₂ ) = (- 1, 4)

d = [tex]\sqrt{(-1-2)^2+(4+9)^2}[/tex]

   = [tex]\sqrt{(-3)^2+13^2}[/tex]

   = [tex]\sqrt{9+169}[/tex]

   = [tex]\sqrt{178}[/tex] ≈ 13.3 ( to 1 dec. place )

Answer:

The answer is 23/18..

5/6+4/9=23/18.

Answer:

Exact Form:

23/18

Decimal Form:

1.27

Mixed Number Form:

1 5/18

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\[/tex]

[tex]\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\[/tex]

Answer:

the answer is 3820

Step-by-step explanation:

first you do 28 +38 which is 393 and then you do 383_jals which is 69, please mark me as brainiest