4x+3(2x-1)-4x
I need an equivalent expression please.

Answer:

  --g(x) = g(x) = x - 6

Step-by-step explanation:

The opposite of the opposite is the original.

the answer is 0

Step-by-step explanation:

on edge

Answer:

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). There are three steps in calculating the slope of a straight line when you are not given its equation.

Step-by-step explanation:

Step One: Identify two points on the line. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Answer:

Step-by-step explanation:

2 green of every 5:

[tex]\dfrac{2}{5}[/tex]

Convert to the percent:

[tex]\dfrac{2}{5}\cdot100\%=\dfrac{200}{5}\%=40\%[/tex]

Step-by-step explanation:

= (11+13+14+15+18+20+23+26)/8

= 140/8

= 17.5

Answer:

16.5

Step-by-step explanation:

We can use the points (12, 5) and (9, 8) to solve.

Slope formula: y2-y1/x2-x1

= 8-5/9-12

= 3/-3

= -1

______

Best Regards,

Wolfyy :)

Answer:

60 calories per day

Step-by-step explanation:

example: 60 calories per serving so obviously the non example is the opposite

Answer:

39.3

Step-by-step explanation:

100 / 6 is about 16, 16.66667 to be exact:

2.36 * 16.66667 =  approx. 39.3

Final answer:

To determine 6% of what number is 2.36, divide 2.36 by 0.06, resulting in an answer of approximately 39.33.

Explanation:

To find 6% of what number equals 2.36, we set up an equation where 6% (or 0.06) multiplied by a number 'x' equals 2.36. The equation looks like this: 0.06x = 2.36. To solve for 'x', you divide both sides of the equation by 0.06, which yields x = 2.36 ÷ 0.06. After calculating, you get that x equals 39.33. Therefore, 6% of 39.33 is 2.36.

Answer:

30 oversized rackets and 50 standard rackets

Step-by-step explanation:

To maximize profit, it is very essential she strikes a balance between the two type of rackets. It is important to note that the profit on oversized racket is twice that of standard racket. Hence, she must make as many oversized rackets as possible.

The highest number of oversized racket she can make is 30. Subtracting 30 from the total number of rackets give 50 standard racket

To maximize profit, represent the constraints as a system of inequalities, graph these to find a feasible region, and evaluate the profit function at each vertex of this region.

To determine how many of each type of tennis racket a manufacturer should produce daily to maximize profit, we can set up a system of inequalities based on the given constraints and then use linear programming. The constraints are that the daily production of standard rackets (S) should be between 30 and 80, and production of oversized rackets (O) should be between 10 and 30. Additionally, the total number of rackets produced (S + O) should not exceed 80 per day.

The profit function to be maximized is P = 15O + 8S. The optimization process involves graphing the inequalities to form a feasible region, then evaluating the profit function at each vertex of this region to find the maximum profit point.

The constraints can be written as:

We look for the corner points of the feasible region that satisfies all the constraints and calculate the profit at each of these points. The highest profit among these calculated values will give us the optimal number of each type of racket to produce.

By systematically evaluating the profit P at the corner points of the feasible region, the manufacturer can identify the production levels of standard and oversized rackets that will maximize profit within the given constraints.

This approach ensures that the manufacturer can meet dealer demand, maintain high quality through production limits, and optimize profit based on the profit margins of each racket type.

To write an equation for the deer population p as a function of t, we can assume a constant growth rate and use the equation p = 80 + rt, where r is the growth rate per year.

To write an equation for the deer population p as a function of t, we can use the information given. Let's assume that the population grows at a constant rate. If t represents the number of years since 2000, then we can write the equation as:

p = 80 + rt

where r is the growth rate per year. This equation assumes that there were 80 deer in the population in 2000, and the population has been growing at a constant rate since then.

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Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

Answer:

The initial investment was $7945.58.

Step-by-step explanation:

Use the compound interest formula: A = P(1 + r)^t

A is the ending amount, in this case 11,680.

P is the starting amount, which is unknown.

r is the interest rate in decimal form, in that case 8% is 0.08.

t is the time in years, in this case 5.

Substitute known values into the equation

A = P(1 + r)^t

11,680 = P(1.08)^5

11,680 = 1.47P

P = 11,680/1.47

P = 7945.58

The initial investment was $7945.58.

Answer:

35 by 25 inches

Step-by-step explanation:

1 inch = 18 feet

each 18 feet in the scale model is one inch, which means that there is one inch per 18 feet, so all you need to do is divide 630 by 18 and 450 by 18.

630/18 = 35

450/18 = 25

so the dimensions of the scale model are 35 by 25 inches

Answer:

y<1

Step-by-step explanation:

-2(y-4)+8y+2<16

-2y+8+8y+2<16

6y+10<16

6y<16-10

6y<6

y<6/6

y<1

The total cost of c ounces of cinnamon would be $0.79c

Since each ounce costs $0.79, just multiply this number by the number of ounces to get the cost.

Answer:

C)  8, 15, 16 is NOT Pythagorean TRIPLET.

Step-by-step explanation:

There numbers  a, b and c are said to be a PYTHAGORAS TRIPLET if

[tex](a) ^2 + (b)^2 = (c) ^2[/tex]

Now, here in the given options:

A)5, 12, 13

[tex](5)^2 +   (12)^2 = 25 +  144 = 169 = (13)^2\\\implies (5) ^2 + (12)^2 = (13) ^2[/tex]

Hence, 5, 12, 13 is a Pythagorean TRIPLET.

B)7, 24, 25

[tex](7)^2 +   (24)^2 = 49 +  576=  625 = (25)^2\\\implies (7) ^2 + (24)^2 = (25) ^2[/tex]

Hence, 7, 24, 25 is a Pythagorean TRIPLET.

C)8, 15, 16

[tex](8)^2 +   (15)^2 = 64 +  225=  289 \neq (16)^2 = 256\\\implies (8) ^2 + (15)^2 \neq (16) ^2[/tex]

Hence, 8, 15, 16 is NOT Pythagorean TRIPLET.

D)11, 60, 61

[tex](11)^2 +   (60)^2 = 121 +  3600 =  3721 =  (61)^2\\\implies (11) ^2 + (60)^2 = (61) ^2[/tex]

Hence, 11, 60, 61 is a Pythagorean TRIPLET.

E)12, 35, 37

[tex](12)^2 +   (35)^2 = 144 +  1225 =  3721 =  (37)^2\\\implies (12) ^2 + (35)^2 = (37) ^2[/tex]

Hence, 12,35 , 37 is a Pythagorean TRIPLET.

Answer:

51

Step-by-step explanation

12-9 = 3

48+ 3 = 51

Total number of not broken windows is 51 windows

Number of big window = 48

Number of small window = 12

Number of broken window = 9

Total number of not broken windows

Total number of not broken windows = Number of big window + Number of small window - Number of broken window

Total number of not broken windows = 48+ 12 - 9

Total number of not broken windows = 60 - 9

Total number of not broken windows = 51 windows

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Answer:

You have to show us the shape for us to write down the expression.

Answer:

B.76

Step-by-step explanation:

4 quarts = 1 gallon

so 4 * 19=76

John is 34, Grandmother is 86.

2014 - 1980 = 34.

2014 - 1928 = 86.

:)

Answer:

-1-i

Step-by-step explanation:

(2-8)+(5-i)=-6+5-i=-1-i

Answer:

No Solution.

Step-by-step explanation:

x-3y=-4

2x-6y=6

-----------

simplify 2x-6y=6 into x-3y=3

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

x-3y=-4

x-3y=3

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

x-3y=-4

-(x-3y)=-1(3)

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

x-3y=-4

-x+3y=-3

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

0=-7

no solution

The equations x - 3y = -4 and 2x - 6y = 6 represent a system with parallel lines that do not intersect, therefore there are no solutions to this system of equations.

Let's solve the system of equations using the method of substitution or elimination. First, look at the two given equations:

It's clear that Equation 2 is simply Equation 1 multiplied by 2. This implies the two equations are multiples of each other, which could mean the system has an infinite number of solutions or no solutions. Let's simplify Equation 2 to confirm:

Divide Equation 2 by 2:

2x/2 - 6y/2 = 6/2

x - 3y = 3

This new equation contradicts Equation 1 (x - 3y = -4), which indicates that there are no solutions since the two lines are parallel and will never intersect.

Answer:

y = 4x² + 36x + 80

Step-by-step explanation:

Since the roots are x = - 5 and x = - 4 then the factors are

(x + 5) and (x + 4)

The equation is the product of the factors

y = (x + 5)(x + 4) and with leading coefficient of 4 is

y = 4(x + 5)(x + 4) ← expand factors

  = 4(x² + 9x + 20)

  = 4x² + 36x + 80

Answer:

$9 to each person

Step-by-step explanation:

63/7=9

Answer: 9

Step-by-step explanation:

$63 divided by 7 people = $9 debt per person

Answer:

B) 3 1/2 or 7/2

Step-by-step explanation:

4 3/7=31/7

3 1/2=7/2

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

31/7x-7/2=12

31/7x=12+7/2

31/7x=24/2+7/2

31/7x=31/2

x=(31/2)/(31/7)

x=(31/2)(7/31)

x=7/2

Answer:

The answer is B.) 3 1/2

Step-by-step explanation:

4

3

7

x − 3

1

2

= 12

31

7

x −

7

2

= 12

31

7

x · 14 −

7

2

· 14 = 12 · 14

62x − 49 = 168

62x = 217

x =

217

62

=

7

2

= 3

1

2

Cara's brother is 7 years old.

14 is twice as much as 7 (7 * 2 = 14).

Answer:

7

Step-by-step explanation:

If Cara is twice the age of her brother,

divide 14/2

7, her brother is 7

Answer:B

Step-by-step explanation:

So, its a multiplying question - the product. Also there are multiple answers from x = negative anything to positive 14, so i chose a number.

The product of -2 and a number minus six is greater than -18.

-2 · (x - 6) > -18

-2 · (7 - 6) > -18

-2 · (1) > -18

-2 > -18

x = 7, or anything lower than 15.

On the number line btw, -2 is bigger than -18

Answer:

The number of solutions of the system is zero

Step-by-step explanation:

we have

a) [tex]x+y=2[/tex]

Isolate the variable y

[tex]y=-x+2[/tex] ----> equation A

This is the equation of the line in slope intercept form

where

The slope is m=-1

The y-intercept is b=2

b) [tex]2x+2y=8[/tex]

Isolate the variable y

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

[tex]y=-x+4[/tex] ----> equation B

This is the equation of the line in slope intercept form

where

The slope is m=-1

The y-intercept is b=4

Remember that

If two lines are parallel, then their slopes are the same

In this problem the lines A and B are parallel lines with different y-intercept

so

The lines don't intersect

therefore

The system has no solution

Answer:

The percentage of the total annual expenses for product payment costs is  11.49% .

Step-by-step explanation:

Given:

Annually costs on product company spends = $34000 and total annual expenses = $296000.

Now, to get the percentage of the total annual expenses for product payment costs. We will calculate the percentage, $34000 by $296000:

According to question:

[tex]\frac{34000}{296000} \times 100[/tex]

[tex]=0.11486\times 100[/tex]

[tex]=11.486[/tex]

Now, rounding to the nearest hundredth of a percent to 11.486 will be 11.49. As we see 6 in the thousandth place and 8 in hundredth place so rounding to decimal in hundredth place will change 8 into 9.

Therefore, the percentage of the total annual expenses for product payment costs is 11.49% .