homework question . Some tutor said they couldn’t solve it ?

Let p be: John goes to the beach

Let q be: He will go surfing.

Then in symbolic form, the argument becomes:

p ⇒ q

p

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

∴ q

An argument is valid if the conjuction of the premises implies the conclusion.

p | q | p ⇒ q | (p ⇒ q) ∧ p | [(p ⇒ q) ∧ p] ⇒ q

---------------------------------------------------------------------\

F | F | T | F | T

F | T | T | F | T

T | F | F | F | T

T | T | T | T | T

The table above shows that the argument is a tautology.

Hence, the argument is valid

The value of x is -9.

Here the equation is :

14 - 2(x + 8) = 5x -( 3x - 34)

We have to prove that x = -9.

From the above-given equation, we have to find the value of x.

So by evaluating the equation we have:

14 -2(x +8) = 5x - (3x - 34)

= 14 - 2x - 16 = 5x - 3x + 34

= -2 -2x = 2x + 34

= 4x = -34 - 2

= 4x = -36

=x = -9

Therefore the value of the above-given equation x = -9.

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Width = 4x + 7

The perimeter of the rectangle shown = 16x + 6

The width of the rectangle = 4x - 4

Perimeter of a rectangle = 2(Length + Width )

16x + 6 = 2[ (4x - 4) x Width]

(16x + 6)/2 = (4x - 4) x width

8x + 3 = (4x - 4) x width

Width = 8x + 3 - (4x - 4)

Width = 8x - 4x + 3 + 4

Width = 4x + 7

Answer:

11

a

+

5

Step-by-step explanation: you're welcome. Brainlyest?

The marks on the test tube where the liquid will be after the sixth drop is added is d. 4/5 and 5/5, between 0.8 and 1 ml.

From the information, the scientist adds drops of liquid to a test tube. The test tube has marks every 1/5 ml while each drop contains 0.14 mL.

In this case, it was stated that each drop is about 0.14mL. Therefore, it's important to note that the value of the 6th drop will be:

= Number of drops × Amount on each drop

= 6 × 0.14

= 0.84

In this case, 0.84 is between 0.8 and 1ml.

Therefore, the correct option is D.

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Answer:

Explanation:

Here, we want to get the unit price per pound

From the question, the brand sells for $3.15 per 10 ounces

Mathematically, 1 ounce is 0.0625 pound

Thus $3.15 is the price for 0.625 pounds (10 * 0.0625 pounds)

if $3.15 is for 0.625 pounds

$x will be for 1 pound

Mathematically:

To determine wether a variable is a basic variable or not in a simplex tableu we have to look for the variables which have a one in a column and all the other values are zero, the variables that fullfil this condition are the basic ones.

Looking at the tableu we notice that the basis variables are: x2, s5 and Z. Now that we know that, we look at each row where the number one appear and put all the other variables equal to zero, with this in mind we conclude that:

SOLUTION:

a. The parametric equations that represent the balls motion is;

Inserting the values;

Simplifying, we have;

b. The graph of the parametric equation is given below;

To find the missing angle we use that the sum of the inner angles of a triangle must add up 180º:

We know W and V, so we clear X:

To order the sides, you don't need the size of them. Let's take a look at the angles:

So, since the angle with vertex on W is the widest, the opposite side to it (the segment XV) will be the longest. Then, the second angle is the one in X, so the second largest side will be it's opposite side (segment WV).

And finally but not last, the shortest side will be the oposite one to the narrowest angle, the one in V.

In summary, the sides ordered from shortest to longest are: c-a-b

Ok, the number of different permutations are:

8!/3! (Considering the three O's)

The answers are :

a) The average price of a new home (y) is given by a linear equation which is y = -800x + 294000.

b) The average price of a new home in year 2014 will be $286000.

What is the point slope form of a line ?

Point slope form is used to represent a straight line using its slope and a point on the line.

a)

We know that the two point -slope form of a line is given by :

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex])

where : m is slope and represented by

m = [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]

As per the questions hint is that two points that is (-2 , 11) and (1 , -4).

These points can be represented by :

([tex]x_{1}[/tex] , [tex]y_{1}[/tex]) = (0 , 294000)

([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (7 , 288400)

So : the slope will be :

m = [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{288400-294000}{7 - 0}[/tex]

m = -5600 / 7

m = -800

So , the point -slope form of line will be :

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex])

y - 294000 = -800 ( x - 0)

y - 294000 = - 800 x

or

y = -800x + 294000

So , the average price of a new home (y) is given by a linear equation which is  :

y = -800x + 294000

b)

As per the question y is the average price of a new home in year x and is given by :

y = -800x + 294000

It is given that x = 0 meant year 2004. So , for year 2014 value of x will be x =10.

Substituting this value to get the value of y or average price of a new home in year 2014 , we get :

y = -800x + 294000

y = - 800 × 10 + 294000

y  = -8000 + 294000

or

y = $ 286000

Therefore  , the answers are :

a) The average price of a new home (y) is given by a linear equation which is y = -800x + 294000.

b) The average price of a new home in year 2014 will be $286000.

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Answer:

Step-by-step explanation:

The least common multiple of the denominators 5 and 7 is 35. Make the denominators of the fractions as 35 using multiplication. Compare the numerators. So, 3 : 5 is greater than 4 : 7.

Hope this helps!

The error in the subtraction of the given fraction is that the LCM was not used before subtraction of numerators and as such if correctly answered the final fraction is; -15/4

We are given the subtraction of fraction expression as;

3/4 - 9/2

Now, the first step in this subtraction is to find the L.C.M of both denominators.

Factors of 2 ; 1, 2

Factors of 4; 1, 2, 4

Thus, the L.C.M of both denominators is; 2 * 2 = 4

Now, the next step is to divide the LCM by the denominator and multiply by the numerator while retaining the LCM as common denominator to get;

[(3 * 4/4) - (9 * 4/2)]/4

= (3 - 18)/4

= -15/4

The method used in the question to subtract the fraction did not take into account finding the LCM.

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An arithmetic sequence has the form:

where d is the common difference.

For this sequence the common difference is 3 and the first term is:

Plugging this values in the general expression we have:

Therefore the sequence is:

Now, from this expression we can determine the value of the zeroth term:

Hence the zeroth term is:

SOLUTION

We want to find the unit rate for number of cookies per dollar. This can be done using the diagram below

So the unit rate is calculated thus

Hence the answer is 2

To graph the system

y ≤ 2x + 1

y < -x - 1

first, you have to graph the lines

y = 2x + 1

y = -x - 1

From the y-intercept and the slope, we know that the first line passes through the points:

(0, 1)

(0+1, 1+2) = (1, 3)

From the y-intercept and the slope, we know that the second line passes through the points:

(0, -1)

(0+1, -1-1) = (1, -2)

Next, we have to find if a point satisfies each equation or not, in order to know which region we have to shade. Taking for example the point (0, 0) and replacing it into the first inequality,

0 ≤ 2(0) + 1

0 ≤ 1

which is true, then we have to shade the region below the line y = 2x + 1

Replacing (0, 0) into the second inequality,

0 < -0 - 1

0 < -1

which is false, then we have to shade the region below the dotted line y = -x - 1

The final result is shown in the next picture.

This corresponds to graph X

We will solve the following:

***Explanation***

We will have that in order to expand a polynomial of the form:

We will proceed by using the following rule:

In our case the solution for the given polynomial is [Step by step]:

ANSWER

C. x² - x ≥ 6

EXPLANATION

Let's analyze the solution set graphed first. We can see that the values -2 and 3 are included in the set, and all values below -2 and above 3. So, the solution set is (-∞, 2] U [3, ∞).

To find which inequality satisfies this solution set we have to solve them. To do so, we will be using the quadratic formula:

A. To solve this one, first, add x to both sides,

Now, apply the quadratic formula to find the zeros. For this inequality, a = -1, b = 1, and c = 6

But in this case, the solution set is [-2, 3] - note that for any value outside this interval the inequality is false.

B. Similarly, apply the quadratic formula for a = -3, b = 3, c = 18,

Again, the solution set is [-2, 3] since for any value outside the interval the inequality is not true.

C. Subtract 6 from both sides,

Apply the quadratic formula, with a = 1, b = -1, and c = -6,

In this case, if we take any value between -2 and 3, for example 1,

We can see that the inequality is false, while if we take a value greater than 3 or less than -2, for example, -5,

We can see that the inequality is true.

Hence, we can conclude that inequality C satisfies the solution set graphed.

The capacity of the mug is 7/6 cups.

Given,

A mug is 3/7 full.

The mug contains 1/2 of a cup of water.

Solution:

Let x be the water.

Water the mug has = 3/7 of x

= 3/7x

Since the water in the mug is 1/2 cup,

3/7x = 1/2

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore,

The capacity of the mug is 7/6 cups.

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The area of the figure = Area of the Triangle + Area of the semi-circle

Area of the Triangle = 1/2 x b x h

Base = 6 feet

Height = 8 feet

Area of the Triangle = 1/2 x 6 x 8 = 48/2 = 24 feet^2

Area of the circle = pi x r ^2 radius = 8/2 = 4 ft

= 3.14 x 4 x 4

= 50.24 feet^2

Total area = 24 + 50.24 = 74. 24 feet ^2

I'm not sure the right equation that we need to used for this problem.

The solution is, :

8x  = 40.01 -2.89, is the equation could be used to determine b, how much each bag of lemons costs.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

David buys milk and lemons at the store.

. He pays a total of $40.01.

• He pays $2.89 for the milk.

• He buys 8 bags of lemons that each cost the same amount.

Cost of 1 bag of lemons = $ x

Cost of 8 bags of lemons = 8 *x = 8x

Cost of 8 bags of lemons = Total cost - cost of the eggs

                             8x           = $40.01 - $2.89

so, 8x  = 40.01 -2.89, is the equation.

Hence, The solution is, :

8x  = 40.01 -2.89, is the equation could be used to determine b, how much each bag of lemons costs.

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EXPLANATION:

We are given the unit cost to produce x number of airplanes as follows;

However, to minimize the unit cost, we need to first take the derivative of the cost function and then find its value at zero.

Thuis is shown below;

Note that for a derivative, the constant term is always equal to zero. We can now simplify what we have above;

We now set this equal to zero and simplify;

Add 150 to both sides;

ANSWER:

Therefore, to minimize the unit cost, 150 engines must be made.

The roofer should work 5 2/3 hours of overtime.

Given:

Earnings for regular hours = $22 per hour

Earnings for overtime = $30 per hour

Time spent on regular hours = 40 hours

Total amount to be earned = $1050

To find:

The number of hours worked overtime

let the number of hours worked overtime = h

Earnings for regular hours (number of hours) + Earnings for overtime (number of hours) = 1050

Using a system of equations, it is found that:

1.

2. Tables are good for summarized data, that is, containing a few pairs of input - outputs solutions.

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.

In the context of this problem, the variables are given as follows:

Considering that they want to raise $100, and the prices of $4 for each chocolate chip and of $2 for each brownie, the equation is:

4x + 2y = 100.

In intercept form, the equation is given by:

2y = 100 - 4x

y = -2x + 50.

When x = 10, the solution of the system for y is given as follows:

y = -2(10) + 50 = -20 + 50 = 30.

Hence one possible solution is (x,y) = (10,30), meaning that she can sell 10 chocolate chips and 30 brownies.

In this question, we are given pairs of input-output that satisfy the given condition, hence tables are more appropriate than graphs.

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Answer:

1. 100=4x+2y and y = -2x+50

X=19, and Y=12

2. Graphs are better for showing trends. tables are better for showing precise data.

Step-by-step explanation:

Luna makes $4 per cookie, so her equation for her income is 4x. Miles makes $2 per cookie, so his equation is 2y. Since they want to make $100, that means that 100 = 4x+2y. Then put this in y-inercept form. Or, y=-2x+50

So now I need to find a solution for y = -2x+50, or 100=4x+2y. One way to do this is through substitution. We can use 12 as the y input.

​

This would mean that miles sold 12 brownies.  Then,  ---> = 19.

​

Therefore, a solution is x=19 and y=12. Meaning Luna sold 19 cookies and Miles sold 12 cookies. (19,12)

The line that passes through the given point may be stated as

y - y1 = m(x - x1)

where (x1, y1) and (x2, y2) = (-6,5) and (6,-7)

m = (y2 - y1)/(x2 - x1)

= (-7 - 5)/(6 - -6)

= -12/12

= -1

Hence the equation of the line that passes through the given points is

(y - 5) = -1(x - -6)

y - 5 = - x - 6

y = -x - 6 + 5

y = -x - 1

The equation that represents the total distance the bird travels would be; d =  1/3.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

Given that bird flies downward 2 feet per second for 6 seconds. Therefore, the bird flies up 7 feet.

Since, a bird flies 2 feet = 1 second

Thus, for 6 seconds = 6 x 2 = 12 feet.

for 6 seconds  = 12 feet.

Similarly, the bird flies up 7 feet = 6/12 x 7

= 42/12 = 3.5

Hence, the equation that represents the total distance the bird travels would be; d = 2/6 = 1/3.

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Given the quadratic equation:

To find the solutions for the given equation you have to apply the quadratic formula:

Where

a is the coefficient of the quadratic term

b is the coefficient of the x-term

c is the constant of the equation

For this equation, a= 16, b= -24, and c= -27, replace the values into the formula:

Solve the addition and subtraction separately to determine both possible values of x:

-Addition:

-Subtraction

The solutions of the quadratic equation are x=9/4 and x=-3/4