3+ −6 = ? I need an answer asap!

Answer:

Minimum z =22 at A =6, B=1

See the graph below variable A is on the horizontal axis and variable B on the vertical axis

Step-by-step explanation:

We can solve using the graphical method

Min z = 3A + 4B

s.t.

1A + 3B ≥ 9

1A + 1B ≥ 7

A, B ≥ 0

Draw two lines using the constraint equations

1A + 3B = 9

1A + 1B = 7

The feasible region for the inequality constraints is the region that satisfies all 4 constraints below

1A + 3B ≥ 9

1A + 1B ≥ 7

A, B ≥ 0

This is the heavily shaded region in the graph. The minimum will be at one of the corner points

There are three corner points on the graph

(0,7), (6,1) and (9,0)

Plug in these coordinate values with A being the first and B being second in the parentheses and see which set of values makes the objective function the minimum

Point (7,0) ==> z = 3(0) + 4(7) = 28

Point (6,1) ==> z = 3(6) + 4(1) = 22

Point (9,0) ==> z = 3(9)+4(0) = 27

Answer:1.2x+5 2.2(x+5) 3.(x+5)^2

Step-by-step explanation:

Answer:

1687500

Step-by-step explanation:

If their sum is 27,000,000 then their are millions of ways to find this answer. like one can be 13500000. But that answer is obviously incorrect. If you divide that by 8, your answer will be 1687500.

Answer:

+ 12 yards

Step-by-step explanation:

8-3 = 5
5 + 12 - 5 = 12

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{((243 {)}^{2n/5} ) \sdot( {3}^{2n + 1}) }{ ({9}^{n + 1}) \sdot( {3}^{2(n - 2)} )}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{5(2n/5)} ) \sdot( {3}^{2n + 1}) }{ ({3 }^{2(n + 1)}) \sdot( {3}^{2(n - 2)} )}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{2n} \sdot( {3}^{2n + 1}) }{ ({3 }^{(2n + 2)}) \sdot( {3}^{(2n - 4)} )}[/tex]

let's break it up :

now let's take [tex]{ \sf {3}^{(2n-4)}} [/tex] common here ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{(3{)}^{(2n - 4)} (3 {}^{4} \sdot{3}^{5}) }{ {(3 )}^{(2n - 4)}(3 {}^{6} \sdot1)}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{{} (3 {}^{4} \sdot{3}^{5}) }{ (3 {}^{6} \sdot1)}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{{} 3 {}^{9} }{ 3 {}^{6} }[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 27[/tex]

Answer:

Step-by-step explanation:

[tex]\sf \cfrac{243^{\frac{2n}{5}}\cdot \:3^{2n+1}}{9^{n+1}\cdot \:3^{2\left(n-2\right)}}[/tex]

[tex]\sf 9^{n+1}\cdot \:3^{2\left(n-2\right)}[/tex]

Simplify:-

[tex]\sf \cfrac{3^{2n}\cdot \:3^{2n+1}}{\boxed{\bf 3^{4n-2}}}[/tex]

Now, Factor:-

[tex]\sf \cfrac{3^{2n}\cdot \:3^{2n+1}}{3^{4n-2}}[/tex]

Now, let's simplify:-

Simplify:-

Apply the exponent rule:-

Therefore, your answer is 27.

______________________

Hope this helps!

Have a great day!

Answer:

A packet of nuts costs $2.70

Step-by-step explanation:

Let C represent the cost of a bar of chocolate and P represent the cost of a packet of nuts

4 bars of chocolate will cost $4C

1 packet of nuts costs $P

Total price Sandra paid is $11.50

This can be represented using

4C + P = 11.50    (1)

A bar of chocolate costs $0.50 less than a packet of nuts. So

P - C =0.50  

-C + P = 0.50   (2)

Multiply eq (2) by 4 to get

-4C + 4P = 4 x 0.50

-4C + 4P = 2   (3)

Add equations (1) and (3) to eliminate the 4C term

4C + P - 4C + 4P = 11.50 + 2

P+4P = 13.50

5P = 13.50

Dividing by 5 on both sides

5P/5 = 13.50/5

P = 2.70

So a packet of nuts costs $2.70  (Answer)

To verify this is correct,

Use equation (2) to get

-C + P = 0.50

-C + 2.70 = 0.50

Add C to both sides

-C + 2.70 + C = 0.50 + C

2.70 = 0.50 + C

Subtract 0.50 from both sides

2.70-0.50 = 0.50 + C - 0.50

2.20 = C which is C= 2.20

Plug this value into equation (1)

4(2.20) + 2.70 = 8.80 + 2.70 = 11.50

So verified that answers are correct

Answer:

The slope would be [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Answer:

-4/-5

Step-by-step explanation:

Remember the formula to slope:

(y2 - y1)/(x2-x1) given two points on the line that are (x1, y1) and (x2, y2).

The two points given on this line are: (2,2) from the top left and (-3,-2) from the bottom left. Let's say (2,2) = (x1, y1) and (-3,-2) = (x2, y2). Plug the points into the formula:

(-2 - 2)/(-3-2) = -4/-5

FINAL ANSWER: -4/-5

Answer: 6

Step-by-step explanation: 6 because then he would owe his parents 49 dollars

Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the individual speeds of airplanes that close the 2940 mile distance between them in 4 hours, and have a speed difference of 35 mph.

The closing speed is found using the relation ...

  speed = distance/time

It is ...

  (2940 mi)/(4 h) = 735 mi/h

If x represents the speed of the slower plane, then (x+35) is the speed of the faster one. The sum of their speeds is the closing speed:

  x +(x +35) = 735

Simplifying, we have ...

  2x +35 = 735

  2x = 700 . . . . . . subtract 35

  x = 350 . . . . . . . divide by 2

  x+35 = 385 . . . . speed of the faster plane

The speeds of the planes are 350 mph and 385 mph.

The coefficient matrix for the given system of equations is as follows:

[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The augmented matrix of a system is composed as follows:

In standard notation, this system is given as follows:

Hence the augmented matrix is given by:

[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]

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Answer:

Step-by-step explanation:

its 8 duh jk its your mom XD

Answer:

There are 12 months per year so:

58000 - 12(3450) =  $________ more

Just plug into calculator or otherwise

work the arithmetic.

Hope this helps.

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Number of student tickets sold = 84

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Let the number student tickets sold = x

Let the number adult tickets sold = y

7x+10y = 3888 -----------i

y = 4x-6 ----------------------ii

Substituting eq ii in i

7x + 10 ( 4x -6) = 3888

7x + 40x - 60 = 3888

47x = 3888+60

x = 3948 / 47

     = 84

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The probability that Oscar reaches into the bag and randomly selects a peanut butter cookie from the bag and randomly selects peanut butter cookie from the bag eats it, then reaches back in the bag and randomly selects a sugar cookie is 0.07.

What is probability?

These generalities have been given a self-evident fine formalization in probability proposition, which is used extensively in areas of study similar to statistics, mathematics, wisdom, finance, gambling, artificial intelligence, etc.

P(sugar | oatmeal) = (7/25)(6/24) = 0.07

The probability that Oscar reaches into the bag and randomly selects a peanut butter cookie from the bag and randomly selects peanut butter cookie from the bag eats it, then reaches back in the bag and randomly selects a sugar cookie is 0.07.

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One can recognize when two integers are opposite numbers as C. Opposite numbers are the same distance from zero on both sides of the number line.

It should be noted that opposite numbers are given as being 0 when added.

For example, the addition of 3 and -3 will be equal to 0.

Therefore, one can recognize when two integers are opposite numbers as Opposite numbers are the same distance from zero on both sides of the number line.

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Answer:

2.5

Step-by-step explanation:

By Using s = d/ t

So t = d / s

Answer: 30

Step-by-step explanation: just do 6*5, 6 faces for five die is thirty faces

There are 30 faces on 5 dice in total.

Given that a standard die has 6 faces on it, we need to determine the number of the faces on 5 dice.

A standard die has 6 faces. If you have 5 dice, each with 6 faces, you can calculate the total number of faces by multiplying the number of dice by the number of faces on each die:

Total number of faces = Number of dice × Number of faces on each die

Total number of faces = 5 dice × 6 faces/die

Total number of faces = 30 faces

So, there are 30 faces on 5 dice.

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Given the length and width, the expression for the perimeter of the rectangle is 10x - 16.

The perimeter of rectangle is expressed as;

P = 2( l + w )

Where l is length and w is width.

Given the data in the question;

Plug the given values in the equation above

Perimeter = 2( l + w )

Perimeter = 2( (3x+ 1) + ( 2x - 9) )

We can go on and simplify.

Perimeter = 2( (3x+ 1) + ( 2x - 9) )

Perimeter = (6x+ 2) + (4x - 18)

Perimeter = 6x+ 2 + 4x - 18

Perimeter = 10x - 16

Given the length and width, the expression for the perimeter of the rectangle is 10x - 16.

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Answer:

The first set is a set of linear equations.

The way to figure this out is pretty easy. If you want to see it visually, go search up desmos graphing calculator and put in these equations.

A linear equation is a function that has a constant slope, meaning that the rate it increases or decreases will never change. The first one is a set of linear equations because it is 2 equations with constant slopes, meaning that the slopes will never change no matter what y and x are.

The second set is not, because while the first equation is linear, the second is an inequality. While it is a straight line, it doesn't count as a linear equation.

The third set, both equations have exponents on the x, which means that the slope will change depending on x. This means that both of these are not linear equations.

The only set that is a linear set is the one that has only linear equations.

The gross income will be $5,800.

It is given that per month salary of an individual is $4000 and from a side job he makes $20 per hour for 10 hours a week for 4 weeks and rent he got is $1000.

We have to calculate the gross income.

What do you mean by gross income ?

Gross income refers to the total income of a person or business from all resources.

As per the question ;

Per month salary = $4000

Earning from side job is given $20 per hour for 10 hours a week for 4 weeks.

i.e.,

= 20 × 10 × 4

= $800 for 4 week

and

the rent they receive = $1000

So ;

The gross income will be ;

= 4000 + 800 + 1000

= $5,800

Thus , the gross income will be $5,800.

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If

[tex]f(x) = \dfrac{2ax+b}{x-1}[/tex]

Note that

[tex]f(2) = \dfrac{4a+b}{2-1} = 4a+b[/tex]

From the given information we have

[tex]\displaystyle \lim_{x\to0} f(x) = \lim_{x\to0} \frac{2ax+b}{x-1} = \frac{0+b}{0-1} = -b = -3 \\\\ ~~~~ \implies b=3[/tex]

and

[tex]\displaystyle \lim_{x\to\infty} f(x) = \lim_{x\to\infty} \frac{2ax+b}{x-1} = \lim_{x\to\infty} \frac{2a+\frac bx}{1-\frac1x} = \frac{2a+0}{1-0} = 2a = 4 \\\\ ~~~~ \implies a=2[/tex]

It follows that

[tex]f(2) = 4\cdot2+3 = 11[/tex]

as required.

Answer:

True

Step-by-step explanation:

Both fractions simplify to 1/5 and thus are equivalent

If (x > 3), then the simplified form of the expression [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex] will be equivalent to [tex][\frac{x^{2}+5x+6 }{2x+5}][/tex].

As per the question statement, we are provided with a mathematical expression in the form of a fraction which goes as [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex].

We are required to calculate an equivalent simplified form of the above mentioned expression.

To solve this question, we simply have to add the fractions in the denominator part and then perform a reciprocal of the overall fraction, and simplify it further in that format only, to obtain our final desired answer. The process is shown below as:

[tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}]\\=\frac{1}{\frac{(x+3)+(x+2)}{(x+2)(x+3)} } \\=\frac{1}{\frac{(2x+5)}{(x+2)(x+3)} }\\=\frac{(x+2)(x+3)}{(2x+5)} \\=\frac{x^{2}+3x+2x+6 }{2x+5} \\=\frac{x^{2}+5x+6 }{2x+5}[/tex]

Hence, If (x > 3), then the simplified form of the expression [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex] will be equivalent to [tex][\frac{x^{2}+5x+6 }{2x+5}][/tex].

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Step-by-step explanation:

find point (-1,-2)

go down one

go to the right one

repeat

draw line with arrows at each end

done!

$3000 and $12000

If you know the principal amount, the rate of interest, and the time periods, you can use the simple interest formula to calculate the interest.

The following is a simple interest formula:

   SI = P *R * T /100

Where SI = simple interest

Principal (P)

interest rate, or R (in percentage)

T is the time period (in years)

The following formula is used to determine the overall sum:

Sum (A) = Principal (P) + Interest (I)

Where,

The entire amount repaid at the conclusion of the borrowing period is indicated by the letter (A).

You can also write the total amount formula for simple interest as follows:

A = P(1 + RT)

X+Y = $15000

0.04x + 0.07y = 960

0.04x + 0.07 ( 15000 - x) = 960

0.04x + 1050 - 0.07x = 960

0.03x = 90

x = $3000

y= $12000

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