Which values are in the solution set to this inequality? 3 ⁢ x 4 < 9 and − x 6 ≥ − 3 x = 4 x = 11 x = 18 x = 12 x = 15

Considering the linear relationship between the variables, we have that:

a) The function is: y = 500t - 500.

b) The factory should operate for 10 hours to have a production of 4500 units.

c) The graph for the first 20 hours of the function is given at the end of the answer.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For the given linear relationship, we have two points, as follows:

(5,2000) and (8,3500).

The slope is given by change in y divided by change in x, hence:

m = 1500/3 = 500.

Then:

y = 500t + b.

When t = 5, y = 2000, hence we solve for the intercept as follows:

2000 = 500(5) + b

b = -500.

Then the function is:

y = 500t - 500.

For 4500 units, the time is found as follows:

4500 = 500t - 500

500t = 5000.

t = 5000/500

t = 10 hours.

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1. x = 8 -8      When the number that is the sum or answer, the number that is in the lines is usually the same but is the opposite, os if it is positive, then it is negative.

2. x = 7, -7

3. A = 6, -10     8 - 2 = 6     8 + 2 = 10  Switch it up, put the negative sign with the 10.

This is all that I can do right now I hope this helped I will try to answer more later.

The results of the logical expressions are

Logical expressions are expressions that have a result of true or false.

These results are generally classified as boolean values

We start by solving the first expression

Logic expression (3)

¬ q v p

The above expression uses the or operator

The rule of the or operator is that:

This means that the expression ¬ q v p evaluates to false if q is true and p is false; otherwise, it evaluates to true

Logic expression (4)

¬ p ∧ ¬ q

The above expression uses the and operator

The rule of the and operator is that:

This means that the expression ¬ p ∧ ¬ q evaluates to true if q is false and p is false; otherwise, it evaluates to false

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Answer:The results of the logical expressions are¬ q v p: false if q is true and p is false¬ p ∧ ¬ q: true if q is false and p is falseWhat are logical expressions?Logical expressions are expressions that have a result of true or false.These results are generally classified as boolean valuesHow to solve the logical expressions?We start by solving the first expressionLogic expression (3)¬ q v pThe above expression uses the or operatorThe rule of the or operator is that:It evaluates to true, if at least one of the terms is trueOtherwise, it is falseThis means that the expression ¬ q v p evaluates to false if q is true and p is false; otherwise, it evaluates to trueLogic expression (4)¬ p ∧ ¬ qThe above expression uses the and operatorThe rule of the and operator is that:It evaluates to true, if both terms are trueOtherwise, it is falseThis means that the expression ¬ p ∧ ¬ q evaluates to true if q is false and p is false; otherwise, it evaluates to false

Step-by-step explanation:

Answer:

Monica sells one more book (12) than Carlos (11).

Step-by-step explanation:

Carlos: $60.50/$5.50 = 11

Monica: $57.00/$4.75 = 12

Monica sells one book more than Carlos.

The initial value is the initial profits of the company, so:

Answer a: $25,000

The decay factor is the percentage in what the profits have been decreasing, so:

Answer b: 6% or 0.06

Finally, the profits every year can be calculated as:

Answer c: $15,239

SOLUTION

We want to write an equation of a line that passes through (-1,3) and (1,4)

First, let us find the slope m of the line for the points (-1,3) and (1,4)

We have

Now, equation of a line in point slope form becomes

plugging in the values, we have

Hence the answer becomes

The statements that are true regarding the temperature include:

1. At noon, the temperature is - 9 1/2°F.

2. The temperature at 5pm is - 15 3/4°F.

3. The change in temperature from noon to 5pm is - 6 1/4°F.

From the information, the temperature at 6A.M is -14°D and the temperature increases at an average of 3/4°F each hour until noon. Then it drops at 1 1/4°F until 5P.M.

The temperature at noon will be:

= -14 + (3/4 × 6)

= -14 + 4.5

= -9.5°F

The temperature at 5pm will be:

= -9.5 - (1 1/4 × 5)

= -9.5 - 6.25

= -15.75

The total change in temperature will be:

= Ending temperature - Starting temperature

= -15.75°F - (-14°F)

= 1.75°F

The temperature change from noon to 5 pm will be:

= -15.75 - (-9.5)

= -6.25 = 6 1/4°F

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Answer:

  20 mi/h

Step-by-step explanation:

You want the speed of separation after 3 hours between two cars that started from the same point. One is moving at 16 mi/h south, the other is moving at 12 mi/h west.

Since both cars started from the same point, the speed of separation is the magnitude of the difference between the respective velocity vectors. A graphical representation of the velocity vectors shows them to be the legs of a right triangle. Their difference is the length of the hypotenuse, which can be found using the Pythagorean theorem.

  s = √(16² +12²) = √(256 +144) = √400

  s = 20

The speed of separation is a constant 20 mi/h.

__

Additional comment

If the cars did not start at the same point, then the speed of separation would be changing with time. It could be found using the derivative of the distance between the cars, or by considering the car speeds in the direction each car is from the other at the time of interest.

We note that the problem here makes use of a 3-4-5 right triangle, with a multiplier of 4 mph.

Two different expressions that represent the total bill, including both tax and tip for the meal sold by the restaurant, are:

To arrive at the amount to be paid by the customer, we first have to get the original amount that they should pay for the meal. Next, they are meant to apply the 16% tip for the total meal and this is gotten by calculating 16% of the total meal.

Next, we ought to get 5% of the sales tax which will also be applied to the total bill. When all of these are summed up, we will arrive at the total amount to be paid by the customer. Another way will be, to sum up, all of the percentages and apply them to the total bill.

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Answer: A. 1.152 pounds.

Step-by-step explanation:

Add vertically

 0.320

+0.832

[tex]2+0=2[/tex]

 0.320

+0.832

         2

[tex]2+3=5[/tex]

 0.320

+0.832

      52

Since [tex]3+8=11[/tex] , the one Carries Over to the ones place.

 1

 0.320

+0.832

    .152

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

 1

 0.320

+0.832

  1.152

Therefore, 1.152 pounds is the correct answer.

Answer:

No

Step-by-step explanation:

No because it says purple to green buttons and the student put green to purple so the answer would be 4:3 not 3:4

The variable "b" is greater than or equal to −37/76.

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Answer:

24.06................

Answer:

B

Step-by-step explanation:

[tex]( - 20.16) + ( - 3.9) \\ [/tex]

=

[tex] - 20.16 - 3.9[/tex]

=

[tex] \frac{ - 1203}{50} or - 24.06[/tex]

The points plotted in the cartesian plane are:

A( - 6 , 8 )

B( -2 , 8 )

C( - 2 , 2 )

D( - 6 , 2 )

The intersection of two perpendicular lines forms a cartesian plane. The X-axis is the horizontal line, and the Y-axis is the vertical line.

1st Quadrant - x > 0 and y > 0. Thus, the sign = ( +, +).

2nd Quadrant - x < 0 and y > 0. Thus, the sign=  ( -, +).

3rd Quadrant - x < 0 and y < 0. Thus, the sign = ( -, -).

4 th Quadrant - x > 0 and y < 0. Thus, the sign= ( +, -).

In this given question all the points lie in the second quadrant that is all the point are of the form ( - x, y)

Thus the points are A( - 6 , 8 )

B( -2 , 8 )

C( - 2 , 2 )

D( - 6 , 2 )

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Q: 23The side opposite to larger angles is always larger than angle oppostie to smaller side.

a sideangle the

Since side opposite to angle 68 is AB and side opposite to angle 65 is CD. The angle of measure 68 is more than angle 65. So,of measure

As the line intersected the y-axis at x = 4, the equation of the line which represents planet Drive to the community garden is x = 4.

The shortest distance that separates two points is represented by a line. A line can be horizontal, slanted, or straight. A equation of a line in slope-intecept form has been expressed as:

y = mx + b

where,

m is called the slope

b is the y-intercept

From the graph shown, you recognize that the planet drive line is a horizontal as well as the general equation of the a horizontal line is represented as x = a where;

'a' is indeed the x-intercept of a line, which is the point at which the line intersects the y-axis.

Because, the line intersected the y-axis at x = 4, the equation of the line which reflects planet Drive to community garden  is x = 4.

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I will give an example on an equation with variables on both sides, then explain.

Example : 20-x = 5x - 4

→the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.

20-x =

When the ratio of the number of miles run to the number of miles biked is equivalent for each row in the table, the value for A is C. 2 3/4.

It should be noted that based on the information, the table has been given and the appropriate figures have been put into it.

The constant rate will be:

7 / 3 1/2 = 2

Now we can then write the relationship and this is illustrated as:

B = 2R

where B is the distance biked

R = the distance that's run.

We want to find the missing value of A. This is illustrated as:

5 1/2 = 2 × A

2A = 5 1/2

A = 2 3/4

Therefore, based on the information given, the correct option is C.

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The ratio of the number of miles run to the number of miles biked is equivalent for each row in the table.

Complete the table for A

A 2 1/4

B 2 2/4

C 2 3/4

D 3 3/4

For the linear function y = 2/3x + 1, we have that:

a) The slope is of 2/3 and the intercept is of 1.

b) The y-intercept is marked at y = 1 on the y-axis.

c) Using the slope and the intercept, point (3,3) is the second point used to graph the function.

d) The graph of the linear function y = 2/3x + 1 is given at the end of the answer.

A linear function, in slope-intercept format, is modeled as follows:

y = mx + b

In which:

For this problem, the function is:

y = 2/3x + 1.

Then, form item a, we have that:

For item b, the y-intercept of b = 1 means that the function crosses the y-axis at b = 1.

For item c, we have to consider that the slope is of 2/3, meaning that when y increases by 2, x increases by 3. Point (0,1) is on the graph of the function, hence point (3,3) will also be, as x increases by 3 from 0 to 3 and y increases by 2 from 1 to 3.

Considering the discussion above, the graph of the function is given at the end of the answer, with the intercept and point (3,3) labeled.

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Given expression is

Among the given options the simplication that applies the power rule is

This can be simplified as

Hence the corresponding simplification is D.

Answer:

Quotient = 58.5

Step-by-step explanation:

Long division is a method used to divide large numbers by breaking the division down into multiple steps.

Parts of long division:

The divisor is placed to the left of the parenthesis.

The dividend is placed to the right of the parenthesis.

The quotient is placed above the dividend and separated from it by a bar.

To finish the given long division, subtract 64 from 68:

⇒ 68 - 64 = 4

Now divide the result by the divisor:

⇒ 4 ÷ 8 = 0.5

Finally, add 0.5 to 58 to give the final quotient:

⇒ 58 + 0.5 = 58.5

[tex]\large \begin{array}{r}58.5\\8{\overline{\smash{\big)}\,468\phantom{))}}}\\{-~\phantom{(}\underline{40\phantom{))..}}\\68\phantom{))}\\-~\phantom{()}\underline{\phantom{)}64\phantom{))}}\\4\phantom{))}\\-~\phantom{()}\underline{\phantom{)}\phantom{)}4\phantom{))}}\\0 \phantom{))}\\\end{array}[/tex]

Therefore, from inspection of the given long division:

An equation of the function in standard form for the given table of values is equal to -2x² - 7x - 6 = 0.

In Mathematics, the standard form of a quadratic equation is given by;

y = f(x) = ax² + bx + c = 0

In order to write an equation of the quadratic function in standard form, we would formulate a system of equations from the data provided in the table above as follows:

-6 = a(-3)² + b(-3) + c  ⇒ -6 = 9a - 3b + c      .......equation 1.

0 = a(-2)² + b(-2) + c  ⇒   0 = 4a - 2b + c      .......equation 2.

-2 = a(-1)² + b(-1) + c  ⇒   -2 = a - b + c          .......equation 3.

From equation. 2, we derive:

c = -4a + 2b   .....equation 4.

Substituting equation 4 into equation 1 and 3, we derive the following equations:

-2 = a - b - 4a + 2b          ⇒ -2 = -3a + b

-6 = 9a - 3b - 4a + 2b     ⇒ -6 = 5a - b

By using the elimination method, the value of a is given by:

[-2 + (-6) = (-3a + 5a) + (b + (-b)]

-2 - 6 = -3a + 5a + b - b

-8 = 2a

a = -4

Next, we would determine the value of b as follows:

-2 = -3a + b

b = -2 + 3a

b = -2 + 3(-4)

b = -2 - 12

b = -14

For the value of c, we have:

c = -4a + 2b

c = -4(-4) + 2(-14)

c = 16 - 28

c = -12.

Substituting the respective values of a, b and c into the standard form of a quadratic equation:

ax² + bx + c = 0

-4x² - 14x - 12 = 0

Dividing all through by 2, we have the following quadratic function:

-2x² - 7x - 6 = 0

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Complete Question:

The table represents a quadratic function. Write an equation of the function in standard form.

X -3, -2, -1, 0

f(x)-6, 0, -2, 0

The equivalent ratios are 14:56 and 5 : 20 .

A ratio in mathematics shows how many times one number appears in another. For instance, if there were eight oranges and six lemons on a fruit platter, the ratio of oranges to lemons would be eight to six.

By dividing each quantity by the sum of all the numbers' common components, ratios can be reduced (much like fractions are). The fraction is said to be in its simplest form when the ratio's numbers are the tiniest practical integers.

A and B are frequent names for the ratio's antecedent and consequent, respectively.

The given ratios are 2 : 8 and 7 : 28 . which when simplified given the ratio 1 : 4 .

Now we know that 1 / 4 = k which is the common ratio.

Hence 14 / x = k = 1 / 4

or , x = 56

Again 5 / y = k = 1 / 4

or , y = 20

Therefore the equivalent ratios are 14:56 and 5 : 20 .

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Answer:

you nrriebr dhdhxbe ahowe a grap by doing your work

Answer:

Step-by-step explanation:

I will use cross multiplication to answer this question.

[tex]4(2y)=3y+10\\8y=3y+10\\8y-3y=10\\5y=10\\\frac{5y}{5} =\frac{10}{5} \\y=2[/tex]

I hope this helps!!!!!!!

The relationship between the input and output variables in the given table of values are;

Question 1

Yes, it is proportional, because the ratio of Dollar per hour are all equivalent to 12 dollar per hour

Question 2;

x; 1, 2, 3, 4, 5

y; 140, 280, 420, 560

Question 3

No it is not proportional because the ratio between the number of cookies, and the cups of flour are not equivalent

Question 4

No, it is not proportional because 18.26/36.5 ≠ 21.1/63.3

Question 5

Yes, it is a proportional relationship because it is a line that intersects with the origin

Question 6

The number of calories burned is dependent on the number of hours worked out. For a one–hour work out, 190 calories are burned, and for a two–hours work out, there are 380 calories burned

Question 7

Yes because the ratio of the miles per hour are all equivalent to 1.75

A proportional relationship is one in which the input and output have a constant ratio, and in which the graph passes through the origin.

Question 1

A proportional relationship is one that has the x and y –intercept as the origin, (0, 0) and in which the ratio of the values at each point, y/x is a constant

Given (0, 0) is a data point and 72/6 = 144/12 = 216/18 = 12

Therefore; Yes it is proportional because the ratio for Dollar per hour are all equivalent to 12 dollar per hour

Question 2;

The points on the graph are;

(0, 0), (5, 700), (6, 840), (7, 980)

Therefore;

y = (5/700)•x = (1/140)•x

The table is therefore;

x; 1, 2, 3, 4

y; 140 280 420 560

Question 3;

The ratio of the dozens of cookies to cups of flour, gives;

Recipe 1; R = 2/1.5 dozen per cup of flour

Which gives;

Approximately 1.33 dozens per cup of flour

Recipe 2, R = 3/3 dozens per cup of flour

Which gives;

Recipe 3, R = 4/4.5 dozens per cup of flour

Therefore;

No it is not proportional because the ratios between the number of cookies and the cups of flour are not all equivalent

Question 4

The ratio of the terms are;

18.26/36.5 = 11.6/23.2 = 1/2 ≠ 21.1/63.3 = 1/3

Therefore;

No it is not proportional because 18.26/36.5 is not equal 21.1/63.3

Question 5

Given that the graph is a straight line that passes through the origin, it is a proportional relationship with which gives;

Yes, it is a proportional relationship because, it is a line that intersects with the origin

Question 6

The number of calories burned is dependent on the number of hours worked out. For a one–hour work out 190 calories are burnt, and for a two–hours work out there are 380 calories burned

Question 7

The relationship is proportional, given that 3.5/2 = 8.75/5 = 12 .25/7 = 1.75

Therefore; Yes, because the ratios for miles per hour, are all equivalent to 1.75

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Answer:

The relationship between the input and output variables in the given table of values are;

Question 1

Yes, it is proportional, because the ratio of Dollar per hour are all equivalent to 12 dollar per hour

Question 2;

x; 1, 2, 3, 4, 5

y; 140, 280, 420, 560

Question 3

No it is not proportional because the ratio between the number of cookies, and the cups of flour are not equivalent

Question 4

No, it is not proportional because 18.26/36.5 ≠ 21.1/63.3

Question 5

Yes, it is a proportional relationship because it is a line that intersects with the origin

Question 6

The number of calories burned is dependent on the number of hours worked out. For a one–hour work out, 190 calories are burned, and for a two–hours work out, there are 380 calories burned

Question 7

Yes because the ratio of the miles per hour are all equivalent to 1.75

What is a proportional relationship?

A proportional relationship is one in which the input and output have a constant ratio, and in which the graph passes through the origin.

Question 1

A proportional relationship is one that has the x and y –intercept as the origin, (0, 0) and in which the ratio of the values at each point, y/x is a constant

Given (0, 0) is a data point and 72/6 = 144/12 = 216/18 = 12

Therefore; Yes it is proportional because the ratio for Dollar per hour are all equivalent to 12 dollar per hour

Question 2;

The points on the graph are;

(0, 0), (5, 700), (6, 840), (7, 980)

Therefore;

y = (5/700)•x = (1/140)•x

The table is therefore;

x; 1, 2, 3, 4

y; 140 280 420 560

Question 3;

The ratio of the dozens of cookies to cups of flour, gives;

Recipe 1; R = 2/1.5 dozen per cup of flour

Which gives;

Approximately 1.33 dozens per cup of flour

Recipe 2, R = 3/3 dozens per cup of flour

Which gives;

Recipe 3, R = 4/4.5 dozens per cup of flour

Therefore;

No it is not proportional because the ratios between the number of cookies and the cups of flour are not all equivalent

Question 4

The ratio of the terms are;

18.26/36.5 = 11.6/23.2 = 1/2 ≠ 21.1/63.3 = 1/3

Therefore;

No it is not proportional because 18.26/36.5 is not equal 21.1/63.3

Question 5

Given that the graph is a straight line that passes through the origin, it is a proportional relationship with which gives;

Yes, it is a proportional relationship because, it is a line that intersects with the origin

Question 6

The number of calories burned is dependent on the number of hours worked out. For a one–hour work out 190 calories are burnt, and for a two–hours work out there are 380 calories burned

Question 7

The relationship is proportional, given that 3.5/2 = 8.75/5 = 12 .25/7 = 1.75

Therefore; Yes, because the ratios for miles per hour, are all equivalent to 1.75

Step-by-step explanation:

B. The polynomial can be simplified. 6[tex]x[/tex]³ + 5[tex]x[/tex]³ + 4[tex]x[/tex] + 5 = 11[tex]x^3[/tex] + 4[tex]x[/tex] + 5

Answer: 64

Step-by-step explanation:

If angle A is 116, then the angle C is also 116. As the sum of the angles of a parallelogram is 360, the sum of B and D should be 360 - 2*116 = 132. Hence, the angles B and D should be each 132/2 = 64