Mathematics College

## Answers

**Answer 1**

Given the points (-8.6) and (1,8) you have to determine the coordinates of its midpoint.

The midpoint is halfways between both points, to determi

## Related Questions

Which graph shows the line y- 1 = 2(x + 2)?сBDA. Graph CB. Graph DC. Graph AD. Graph B

### Answers

**Answer:**

[tex]\text{ Graph C}[/tex]

**Step-by-step explanation:**

A line is represented as follows:

[tex]\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]

Isolate y in the given equation to get the line in the form above:

[tex]\begin{gathered} y-1=2(x+2) \\ y=2(x+2)+1 \\ y=2x+4+1 \\ y=2x+5 \end{gathered}[/tex]

Notice that the slope of the line is positive and the y-intercept is 5.

*Remember that the y-intercept of a line is where x=0.

Then, the graph that shows the line is Graph C

Use the Rules of Special right triangles to find x and y 6) Www 302 4 [Select [Select y=

### Answers

We will determine the values of x & y by using the law of sines, that is:

*First: x:

[tex]\frac{x}{\sin(60)}=\frac{4}{\sin(90)}\Rightarrow x=\frac{4\sin(60)}{\sin(90)}\Rightarrow x=2\sqrt[]{3}[/tex]

*Second: y:

[tex]\frac{y}{\sin(30)}=\frac{4}{\sin(90)}\Rightarrow y=\frac{4\sin(30)}{\sin(90)}\Rightarrow y=2[/tex]

Hello please help me out it's been a long time since math

### Answers

**Given:**

A polynomial is given as below

x + 3x² + 2x - 3 - 4x² + 6

**Find:**

we have to simplify the polynomial and evaluate for x = 2

**Explanation:**

We will simplify the polynomial as follows

x + 3x² + 2x - 3 - 4x² + 6 = 3x² - 4x² + x + 2x + 6 - 3 = **- x² + 3x + 3**

for x = 2

- (2)² + 3(2) + 3 = -4 + 6 + 3 = -4 + 9 = **5**

Therefore, the correct option is** - x² + 3x + 3 ; 5**

What is the equation for the Exponential Function below (you can use ^ to representexponential notation like you do on a calculator)

### Answers

The general equation for the exponential equation is given as

[tex]y=ar^{n-1}[/tex][tex]\begin{gathered} \text{where } \\ a\text{ = 8 } \\ \text{and } \\ r\text{ = 4} \\ n\text{ =x} \end{gathered}[/tex]

Substituting these values into the above equation yields

[tex]y=8(4)^{x-1}[/tex]

Checking for x = -1 and x = 3, to find out if the values of y correspond with the one in the chart yields

[tex]\begin{gathered} \text{If x=-1} \\ y=8(4)^{-1-1} \\ y=8(4)^{-2} \\ y\text{ = 8 }\times0.0625\text{ =}\frac{1}{2} \end{gathered}[/tex]

[tex]\begin{gathered} \text{If x= 3 } \\ y=8(4)^{3-1} \\ y\text{ = 8 }\times16\text{ = 128} \end{gathered}[/tex]

Hence the equations hold since the values x and y are corresponding with those in the chart

[tex]y=8(4)^{x-1}[/tex]

**y = 8(4)^(x-1)**

how can I solve this 3+2(3x-2)

### Answers

**1.- Get rid of the parenthesis**

3 + 2(3x - 2)

3 + 6x - 4

2.- Simplify like terms.

In this expression, like terms are only 3 and -4

(3 - 4) + 6x

-1 + 6x

3.- Write the result

** 6x - 1 **

the restaurant wants to create a larger male to accommodate large groups of people they also want to limit the number of chicken tenders to 15 If the ratio Remains the Same how many biscuits are in a larger

### Answers

If the **ratio **remains the same then **20 biscuits** are included in** larger** meal.

Given, The restaurant wants to create a larger meal to accommodate **larger** groups of people.

hey also want to limit the number of **chicken tenders** to 15.

If the **ratio** remains the same, how many biscuits are in the larger meal = ?

According to the given conditions we have:

Let x represent the **number** of biscuits in the larger meal.

The** family tester meal** includes:

4 chicken sliders.

6 chicken tenders

8 biscuits

1 pint of cole slaw

So, by using** direct calculation**:

⇒ 6/8 = 15/x

⇒ 6x = 120

⇒ x = 120/6

⇒ x = 20

Hence If the **ratio** remains the same, then 20 biscuits are in the **larger meal.**

Learn more about** Ratios **here:

brainly.com/question/2914376

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*Your question is incomplete. Please find the missing content here:*

The table shows the items in a family chicken taster meal at a restaurant. The restaurant wants to create a larger meal to accommodate larger groups of people. They also want to limit the number of chicken tenders to 15 . If the ratio remains the same, how many biscuits are in the larger meal?

family tester meal includes:

4 chicken sliders.

6 chicken tenders

8 biscuits

1 pint of cole slaw

What are the solutions of the following systems?[2x + 2y = 2|--4x – 4y = -4O no solutionsO (-8,5)O infinitely many solutionsO (8,-5)

### Answers

First we look at each graph, for 2x + 2y = 2 we have:

then, look at the graph for -4x-4y = -4 :

as you can see, both equations have the same graph, therefore, the system has infinitely many solutions, since each point of the line is a solution.

Rotate the following figure 90° counterclockwise about the origin: l: (-3,-4), J: (-4, 0), K: (-3, O), L: (0, -2)

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Let's begin by identifying key information given to us:

[tex]I(-3,-4),J(-4,0),K(-3,0),L(0,-2)[/tex]

We are to rotate the figure 90 degrees counterclockwise about the origin. The transformation is mapped by the formula:

[tex]\begin{gathered} A\mleft(x,y\mright)\rightarrow A^{\prime}\mleft(-y,x\mright) \\ I(-3,-4)\rightarrow I^{\prime}(4,-3) \\ J\mleft(-4,0\mright)\rightarrow J^{\prime}(0,-4) \\ K\mleft(-3,0\mright)\rightarrow K^{\prime}(0,-3) \\ L\mleft(0,-2\mright)\rightarrow L^{\prime}(2,0) \end{gathered}[/tex]

Task 3wº35°41°Elena: 35 + w +41 = 180Diego: w +35 = 180Type your answer here...I need to figure out who’s right and solve the problem

### Answers

**Answer:**

**Elena is right.**

**The measure of angle w is;**

[tex]w^{\circ}=104^{\circ}[/tex]

**Explanation:**

Given the figure in the attached image.

The three angles will add up to 180 degrees because the sum of angles on a straight line equals 180 degrees.

[tex]35+w+41=180[/tex]

Reason: sum of angles on a straight line.

Therefore, **Elena is right.**

solving the equation for w;

[tex]\begin{gathered} w+35+41=180 \\ w+76=180 \\ w=180-76 \\ w=104 \end{gathered}[/tex]

**The measure of angle w is;**

[tex]w^{\circ}=104^{\circ}[/tex]

A heater uses 30,079 BTU each hour to operate. How many foot-pounds of energy does it use each hour?The heater uses foot-pounds of energy each hour.(Simplify your answer.)

### Answers

**Answer**:

23406553 foot-pounds each hour

**Explanation**:

We know that

1 BTU = 778.169 foot-pounds

therefore

30, 079 BTU = 778.169 * 30, 079 foot-pounds

30, 079 BTU = 23406545

10y-20x+50=0 this is a linear equation needed to be put in slope intercept form

### Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given linear equation

[tex]10y-20x+50[/tex]

**STEP 2: Subtract 50 from both sides**

[tex]\begin{gathered} 10y-20x+50-50=0-50 \\ 10y-20x=-50 \end{gathered}[/tex]

**STEP 3: Add 20x to both sides**

[tex]\begin{gathered} 10y-20x+20x=-50+20x \\ 10y=-50+20x \end{gathered}[/tex]

**STEP 4: Divide both sides by 10**

[tex]\begin{gathered} \frac{10y}{10}=\frac{-50+20x}{10} \\ \\ y=\frac{-50}{10}+\frac{20x}{10} \\ y=-5+2x \\ y=2x-5 \end{gathered}[/tex]

**Since the slope intercept form of a line is given as:**

[tex]\begin{gathered} y=mx+c \\ where\text{ m is the slope} \\ c\text{ is the y-intercept} \end{gathered}[/tex]

**Hence, the slope intercept form is given as:**

[tex]y=2x-5[/tex]

Complete the equation of this circle:(x - 2)² + (y - {?})² = {?}

### Answers

**Given - **

**To Find - **

Missing Values =?

(x - 2)² + (y - {?})² = {?}

**Step-by-Step Explanation - **

As we know the general equation of a circle:

(x - x₁)² + (y - y₁)² = R²

So,

Here (x₁, y₁) are the coordinates of the center of the circle

and R = Distance of center of the circle.

So,

As shown in the diagram:

x₁ = 2

y₁ = -2

R = 3

Now, Putting all these values in the formula =, we get:

(x - 2)² + (y - [-2])² = 3²

(x - 2)² + (y + 2)² = 9

**Final Answer - **

**(x - 2)² + (y + 2)² = 9**

A jumbo jet carries 280 passengers, 38 in first class, and the remainder in coach. If the average first class ticket is $710 and the average coach ticket is $236, how much will the airline gross if the plane is full?

### Answers

Given that there is a total (T) of 280 passengers, of which 38 are in first class (f).

So the number of passengers in the coach (c)is calculate as,

[tex]\begin{gathered} \text{c=T}-f \\ \text{c=}280-38 \\ \text{c=}242 \end{gathered}[/tex]

Also given that the cost of first class ticket (Cf) is $710, and the cost of a coach ticket (Cc) is $236.

So the gross amount (A) of a full plane is calculated as,

[tex]\begin{gathered} A=(f\times C_f)+(c\times C_c) \\ A=(38\times710_{})+(242\times236) \\ A=(26980)+(57112) \\ A=84092 \end{gathered}[/tex]

Thus **the airline will gross $84092 if the plane is full**.

A real estate agent works on a 9% commission. What is her commission on a house that she sold for $691,600? Follow the problem solving process and round youranswer to the nearest cent, if necessary

### Answers

A 9% commission means that she will earn a commission equal to 9% of the entire value of the house.

Since the house was $ 691,600, we can simply take 9% of this value to calculate the commission.

To do this, we multiply the value for the percentage converted to decimals, that is:

[tex]9\%=0.09[/tex]

So, the commission is:

[tex]C=0.09\cdot691600=62244[/tex]

That is, the commission was **$ 62,244**.

Could Dot plot A represents the data in the histogram? Explain how you determined the relationship between the histogram and the dot plot.

### Answers

**could, the same, 2, 5, 6**

1) Examining the Dot plot A, and the Histogram on the left, we can state the following:

2) Dot plot A **could ** represent the same data displayed in the histogram because the frequency of data points within each interval is **the same**

0 |---5 = 2

*As we can see the histogram from no trees up to two are 5 meters long*

*5 |---10: 5 meters*

(...)

There are **2 **trees in the first interval, **5 **trees in the first interval, and **6 **trees in the third interval.

*Each dot on that dot plot stands for 1 unit.*

3) Hence, the answers in order are:

**could, the same, 2, 5, 6**

i got m<3=65 but not sure would you help thank you!find the measure of 3.

### Answers

**Step 1**

Given;

Required; Find the measure of angle 3

**Step 2**

Find the measure of angle 3

[tex]\begin{gathered} m\angle1=140\text{ \lparen opposing interior angle is equal to the exterior angle\rparen} \\ m\angle2=180-140=40^{^o}(sum\text{ of angles on a striaght line\rparen} \end{gathered}[/tex][tex]180-105=75^o(sum\text{ of angles on a straight line\rparen}[/tex]

Thus,

[tex]\begin{gathered} m\angle3=180-40-75(sum\text{ of angles in atriangle\rparen} \\ m\angle3=65^o \end{gathered}[/tex]

**Answer;**

[tex]m\angle3=65^o[/tex]

I need help with question question 7 i just need the answer

### Answers

Let:

F = Final grade

n = Number of questions you get wrong

so:

[tex]F=\frac{k}{n}[/tex]

Where:

k = Arbitrary constant of proportionality

Since the greater the number of incorrect answers, the grade is lower, and the lower the number of incorrect answers, the grade is higher. We can conclude it is an inverse variation.

**Answer:**

**B) Inverse**

The scale on a map reads 3 inches =25 miles. If two cities are 7.5 inches apart on the map, find their actual distance.

### Answers

**Given:**

The scale on a map reads 3 inches =25 miles.

Two cities are 7.5 inches apart on the map.

Then the distance is,

[tex]\begin{gathered} 3\text{ inches=25 miles} \\ 1\text{ inch=}\frac{25}{3}miles \\ 7.5\text{ inches=7.5}\cdot\frac{25}{3}=62.5\text{ miles} \end{gathered}[/tex]

**Answer: The distance between the two cities is 62.5 miles.**

Find the equation of the line in slope-intercept form through (6, 1) and perpendicular to Y= 3 / 2 X + 1/4

### Answers

The general form of the equation of a line in slope intercept is y = mx+b where m is the slope and b is the intercept. To find the equation, we simply need to find the values of m and b.

Have in mind that if we have two lines y = mx+b and y = dx+e, we say that two lines are perpendicular if the product of their slopes is -1. That is

[tex]m\cdot d\text{ = -1}[/tex]

We are given the line y = (3/2)x+(1/4). For this line, the slope is (3/2). Since we want that our line y =mx+b is perpendicular to the given line, it must happen that

[tex]m\cdot(\frac{3}{2})\text{ = -1}[/tex]

If we multiply by 2 on both sides and then divide by 3, we get

[tex]m\text{ = -1}\cdot\frac{2}{3}=-\frac{2}{3}[/tex]

So far, we have the equation of our line to be y = (-2/3)x+b. We are given that this line passes through the point (6,1). This means that in this equation, if we replace x by 6, then we get y=1. This leads to the equation

[tex]1=(-\frac{2}{3})\cdot6+b\text{ = -2}\cdot2+b\text{ = -4+b}[/tex]

So, if we add 4 on both sides, we get

[tex]b\text{ = 1+4 = 5}[/tex]

So the equation of our line is y = (-2/3)*x + 5.

the graph of function f is shown above. For which of the following values of c does lim f (x)= 1?

### Answers

**Answer**

-2 and 0 only

**Explanation**

As x approaches to 3 there are 2 different values by the right and by the left.

name each polynomial by degree and numbers of terms for -8+3x-2x^5

### Answers

-2x^5 + 3x - 8 Total degree = 5 for this the degree could be 6 if we

consider all the exponents.

Number of terms = 3

2) -9p^3 + 5p^5 Degree = 5 the degree could be 8, if we consider all

the exponents.

Number of terms = 2

3) 4x^6 Degree = 6

Number of terms = 1

4) -3a^5 Degree = 5

Number of terms = 1

5) 3yz^4 + 2x^-4y^3 Total Degree = 4 It could be 4 the highest exponent

Number of terms = 2

[tex]3yz^4\text{ + }\frac{2y^3}{x^4}[/tex]

6) 4x^4^y-4 + 4xy^-4 - 3x^3y^2 Total degree = 4

Number of terms = 3

[tex]\frac{4x^4}{y^4}\text{ + }\frac{4x}{y^4}-3x^3y^2[/tex]

Find the z-score, to the nearest hundredth, that satisfies the given condition.0.195 square unit of the area of the standard normal distribution is to the right of z.

### Answers

The area of 0.195 to the right of z under the normal curve is

[tex]P(ZSketch the normal curve and shade the area of 0.195 to the right of "z" under the normal curve.

Since the total area under the normal curve is 1. therefore, the area to the left of normal is 1-0.195 = 0.805.

[tex]P(ZRefer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.805 to the left of the normal curve[tex]P(Z<0.86)=0.805[/tex]

**Hence the value of z is 0.86.**

the square of a number is 20 more than 8times the number.find the number

### Answers

Given:

Let the number be x.

According to the statement, we have:

[tex]x^2=20+8x[/tex]

Simplifying it for x,

[tex]x^2-8x-20=0[/tex]

Consider two terms such that their product is - 20 and their sum is -8

The terms will be - 10 and 2 since their product is -20 and their sum is -8 so we can write the equation as:

[tex]x^2-10x+2x-20=0[/tex]

Now, take x common from first two terms and 2 from last two terms,

[tex]x(x-10)+2(x-10)=0[/tex]

Now, take (x-10) common :

[tex](x-10)(x+2)=0[/tex]

Since the product of two terms is zero, so one must be zero or both must be zero.Hence,

[tex]\begin{gathered} (x-10)(x+2)=0 \\ x=10,-2 \end{gathered}[/tex]

**Hence, the number can be 10 or - 2.**

Find the area of the composite figure, made up of a rectangle and a semicircle. Use as an approximation for and give your answer to the nearest hundredth of a square foot.

### Answers

Take into account that the given figure can be considered as formed by a rectangle and one half of a circle.

Use the following formulas for the areas:

rectangle:

**A1 = w*l**

w: width = 4 ft

l: length = 8 ft

semircle:

**A2 = 1/2 * π*r^2**

r: radius = diamterer/2 = 2 ft/2 = 1 ft (consdiered by the dimensions of the up side of the rectangle)

replace the previous values of the parameters into the formulas for the areas:

**A1 = (4 ft)(8 ft) = 32 ft^2**

**A2 = 1/2*(3.14)(1 ft)^2 = 1.57 ft^2**

the area of the total figure is:

**A = A1 + A2**

**A = 32 ft^2 + 1.57 ft^2**

**A = 33.57 ft^2**

**Hence, the area of the figure is 33.57 ft^2**

The circumference of a pizza in 16π of50.2654824574... inches.

### Answers

**Is 16*pi a rational or a irrational number?**

A multiple of an irrational number is a irrational number.

use the distributive property to evaluate the expression 4(11-5)

### Answers

Distributive property states:

[tex]\begin{gathered} a(b+c)=ab+ac \\ so\colon \\ 4(11-5)=4\cdot11-4\cdot5=44-20=24 \end{gathered}[/tex]

Select the correct location on the image. 796,142 Click the digit in the ten thousands place.

### Answers

In this case, you have to click 9, it is on the ten thousands place.

5 6 7 8910 11 1213 14If 20 burgers feeds 15 kids and you wanted to know how many burgers would feed 80 kids,you would write the following proportion:15/20=80/x15/80=x/20

### Answers

**Explanation: **

The problem states that 20 burgers can fees 15 kids, we can write this as a proportion between the number of kids and the number of burgers in **fraction form**

Then, we need to find the number of burgers **x** for **80 kids**, following the same previous proportion, the number of kids (80) is the numerator of the fraction, and the number of burgers is the denominator

The **two **expressions must be equal, therefore, the **proportion is**

[tex]\frac{15}{20}=\frac{80}{x}[/tex]

which is the first option.

**Answer:**

[tex]\frac{15}{20}=\frac{80}{x}[/tex]

PLEASE HELP ASAP!!!The graph shows the function f(x) = 2XWhat is the value of x when f(x) = 8? A. 2B. 3C. 0D. 1

### Answers

**Given the function of the graph expressed as**;

f(x) =- 2^x

**Given**

f(x) = 8

**Required **

The value of x

**To get the value of x, we will simply substitute f(x) = 8 into the function of the graph given as shown;**

f(x) = 2^x

8 = 2^3

2^3 = 2^x

**Since the base value are the same, they will cancel out to have;**

3 = x

**Rearrange;**

x = 3

**Hence the value of x is 3. Option B is correct**

SIMPLIFY THE FOLLOWING EXPRESSION BY DISTRIBUTING 9(2 + 8y)

### Answers

To simplify this expression, we need, first, apply the distributive property, and we can do this as follows:

[tex]9\cdot(2+8y)=9\cdot2+9\cdot8y=18+72y[/tex]

As we can see, we multiply 9 by each of the terms into the parenthesis.

The expression can be expressed as:

[tex]18\cdot(1+4y)=18(4y+1)[/tex]

And **this is a simplified expression we were looking for (the previous expression).**

**(18 is a common factor in 18 + 72y.)**