Mathematics High School

## Answers

**Answer 1**

The slope is -3/1 so to find other points, go to (2,-1) and go down 3, over 1.

## Related Questions

What is the average rate of change of the function shown over the interval 2 ≤x≤6?

### Answers

**Answer:**

What's the function? Put the function in the problem so I can solve.

**Step-by-step explanation:**

it's due today please help

### Answers

**Step-by-step explanation:**

f(-1) -> f(x)

-> -(-1)-2 -> **-1 < 1**

-> -2 -> 2 **= 1**

-> -((-1) -4)^2 -> -25 -> **-25 > 1**

**- This might be correct, not entirely sure**

**- If it did help please mark as brainliest**

There are 3 types of gummy bears:

Mini-bear, Regular bear, and Super Bear

10 mini-bears weights to 12.1 grams

10 regular bears weights to 23.1 grams

1 super bear weights to 2250 grams

Question: How many more mini-bears than regular-bears does it take to have the same weight as one super-bear?

If you can please respond in one clear, succinct paragraph. Be sure to clearly state your final answer and include all of your mathematical reasoning that led you to your final answer. Make sure you write in complete sentences with proper writing conventions (i.e. grammar, punctuation, spelling).

### Answers

885 mini bears

974 regular bears equals the size of a super bear while 1859 mini bears eqauls the size of a super bear therefore,there are 885 mini bears more than regular bears to make the size of a super bear.

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7-2(x)-2(-10)=15

Write the equation.

### Answers

**Answer: x = - 21**

**Step-by-step explanation:**

7-2(x)-2(-10)=15

7-2x - (2*10) =

7 - 2x - 20 =

7 - 20 -2x =

-27 - 2x = 15 ;

↔ -2x + (-27) =

-2x - 27 = 15 ;

-1 ( -2x -27) = 15 *(-1)

2x + 27 = -15 ;

2x + 27 - 27 = -15 -27 ;

2x = -42 ;

2x / 2 = - 42/2 ;

x = -21 .

Suppose there is a 1.7degrees f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is ,46.1 degrees f what will be the temperature when the plane reaches an altitude of 8,000 ft ?

### Answers

If the **temperature** on the ground is 46.1 degrees Fahrenheit, the temperature in the sky when the plane reaches an **altitude** of 8,000 ft, using **mathematical operations**, will be 32.5°F.

What are mathematical operations?

**Mathematical operations** calculate values using mathematical **operands** and **operators**.

The basic **mathematical operators** include addition, subtraction, multiplication, and division.

The calculations below are based on **mathematical operations** performed on the provided values to answer the requirement of the temperature when the plane reaches 8,000 ft altitude from the ground.

Data and Calculations:

Drop in temperature for every thousand feet ascent = 1.7°F

The temperature on the ground = 46.1°F

The altitude reached by plane = 8,000 ft.

The **total temperature** drop at this point = 13.6°F (1.7°F x 8,000/1,000)

Final temperature at 8,000 ft altitude = 32.5°F (46.1°F - 13.6°F)

Thus, the temperature in the sky when the plane reaches an **altitude** of 8,000 ft, using **mathematical operations**, will be 32.5°F.

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s the function y = 3(3.5)* a linear, quadratic, or exponential function? Explain

how you know

### Answers

**Answer:**

Exponential

**Step-by-step explanation:**

Any function which has a term aˣ where a is a constant is considered an exponential functionhere

A linear function will have a form such as y = mx + b where m and b are constants.

A quadratic function will have the form y = ax² + bx + c where a, b and c are constants

An exponential function will have the form [tex]y = ka^{mx}[/tex]. It may have a constant as the multiplying factor. But [tex]a[/tex] has to be a constant greater than 0. k and m are also constants

Examples are

y = [tex]e^x[/tex] which is the natural exponential function. Value of e is 2.71828....

y = 2ˣ

y = [tex]5 (3^{2x})[/tex]

The function you provided is of the form [tex]y = k(a^x)[/tex] with k = 3 and a = 3.5

Consider this polynomial. p(x) = 3x3 + 11x2 - 4x - 6

Which statements are true?

A. The quotient of p(x) & (x + 2) is 3x^2 + 5x + 6 + 6/x + 2

B. (x + 2) is a factor of p

C. p(-2) = 22

D. p(-2) = 6

E. The quotient of p(x) & (x + 2) is 3x^2 + 5x - 14 + 22/x + 2

### Answers

The correct options about the given** polynomial **are; C. p(-2) = 22 and

E. The quotient of p(x) & (x + 2) is 3x^2 + 5x - 14 + 22/x + 2

How to carry out Polynomial Division?

The general form of equation of a **Polynomial** is ax² + bx + c.

where;

a, b, and c are **real numbers** with a ≠ 0,

The **degree **of a** polynomial** is the highest exponent of the variable in the polynomial.

Option C) Calculation for p(-2)

To get the value of p(-2), at the place of 'x' put (-2) in the polynomial p(x).

p(x) = 3x³ + 11x² - 4x - 6

p(-2) = 3(-2)³ + 11(-2)² - 4(-2) - 6

p(-2) = 22

Thus, option C is correct and option D is incorrect.

A) To calculate the quotient divide the polynomial p(x) by (x +2)

The solution of this is attached in the file.

Therefore, option E is correct and option A is incorrect.

As, we can see from the division of polynomial p(x) by (x + 2) , the p(x) polynomial is not completely divisible by (x +2). Therefore, option B is also incorrect.

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Spencer wrote that 3.3+4=3.7. Use the drop-down menus to explain why 3.7 is incorrect.

### Answers

**Answer:**

4 is in the ones places, so it should be added to the 3 in the ones place, not the 3 in the tenths place.

**Step-by-step explanation:**

3.3+4=7.3, not 3.7

Write an expression that you can evaluate using a commutative property, and associative property, and the distributive property.Justify answer

### Answers

The commutative property, associative property, and the distributive **property of algebra** have been explained below with examples.

How to use property of Algebra?

1) The **commutative property** is a math rule that says that the order in which we multiply numbers does not change the product. However, this only works for addition and multiplication properties. An example is;

5 + 4 = 4 + 5

3 * 7 = 7 * 3

2) The **associative property **is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product. An example of this is;

(5 * 4) * 2 = 5 * (4 * 2)

3) The **distributive property **states that an expression which is given in form of X * (Y + Z) can be solved as X × (Y + Z) = XY + XZ. An example is;

3(5 + 7) = (3 * 5) + (3 * 7)

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Divide.

X³+2x²-x+1/x^2+2

Show steps

### Answers

**Answer:**

( x + 2 ) + ( -3x - 3)/(x + 2)

**Step-by-step explanation:**

(x^3+2x^2 -x +1) / (x^2 + 2)

= ( x + 2 ) + ( -3x - 3)/(x + 2)

I solved this problem by long division, so I do know how to explain it here but if you have any questions, you can ask me in the comments.

**Answer:**

[tex]x+2-\dfrac{3x+3}{x^2+2}[/tex]

**Step-by-step explanation:**

As the divisor is quadratic, use **long division **rather than synthetic division:

[tex]\large \begin{array}{r}x+2\phantom{)}\\x^2+2{\overline{\smash{\big)}\,x^3+2x^2-x+1\phantom{)}}}\\{-~\phantom{(}\underline{(x^3\phantom{))))))}+2x)\phantom{-b)}}\\2x^2-3x+1\phantom{)}\\-~\phantom{()}\underline{(2x^2\phantom{))))))}+4)\phantom{}}\\-3x-3\phantom{)}\\\end{array}[/tex]

Therefore:

[tex]\textsf{Dividend}: \quad x^3+2x^2-x+1[/tex]

[tex]\textsf{Divisor}: \quad x^2+2[/tex]

[tex]\textsf{Quotient}: \quad x+2[/tex]

[tex]\textsf{Remainder}: \quad -3x-x=-(3x+x)[/tex]

When dividing a polynomial, the result is the quotient plus the remainder over the divisor.

[tex]\implies \dfrac{x^3+2x^2-x+1}{x^2+2}=x+2-\dfrac{3x+3}{x^2+2}[/tex]

Darius and donovan each have a collection of basketball and football trophies. donovan has 13 fewer than twice as many basketball trophies as darius. when they combine their collections, there are 35 trophies in all. how many basketball trophies are in donovan's collection?

### Answers

The **number** of basketball trophies in **Donovan's collection** is **19**

How to determine the value

From the **information** given, let;

Donovan collection be xDarius collection be y

We have that;

x = 2y - 13 (1)

x + y = 35 (2)

Now, let's **substitute** the value of x as 13 - y in (2)

2y - 13 + y = 35

collect like terms

3y = 35 + 13

3y = 48

Make 'y' the subject

y = 48/3

y = 16

Donovan's collection = 2y - 13 = 2 (16) - 13 = 32- 13 = 19

Thus, the **number** of basketball trophies in **Donovan's collection** is **19**

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Mohamed was given a large bag of sweets and ate one fifth of the sweets before stopping as he was feeling sick. the next day he ate one fourth of the remaining sweets and the following day he ate one fourth of the remainder, before counting the sweets he had left which totaled nine. how many sweets was he given in the beginning?

### Answers

The total **number** of sweets given to Mohamed in the beginning is equals to** 20.**

As given in the question,

Let x be the total **number **sweets given to Mohamed in the beginning.

**Number** of sweets he ate when feeling sick = [tex]\frac{x}{5}[/tex]

Number of sweets left = x - (x /5)

= (4x / 5)

**Number** of sweets he ate next day = [tex]\frac{1}{4}[/tex] × [tex]\frac{4x}{5}[/tex]

= x /5

Number of sweets left = (4x/5) - (x/5)

= (3x /5)

**Number** of sweets he ate on the following day = [tex]\frac{1}{4}[/tex] ×[tex]\frac{3x}{5}[/tex]

= (3x / 20)

**Number **of sweets left at the end = (3x /5) - (3x/20)

= (12x-3x) / 20

= (9x /20)

As per given condition,

(9x / 20) = 9

⇒ x = (9 × 20)/9

⇒ x= 20

Therefore, the total **number** of sweets given to Mohamed in the beginning is equals to** 20.**

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Jorge measured his heart rate jogging.He counted 11 beats during a 6 second interval.what was the unit rate for jorge’s heart rate in beats per minute?

### Answers

**Answer:**

110bpm

**Step-by-step explanation:**

If his heart beat was 11 beats in 6 seconds and there is 60 seconds in a minute that would mean you times 11 beats times 10 which leaves you with 110 and you add the correct unit of measurement (bpm) which leaves you with 110 bpm

what is three times a number increased by 9

### Answers

algebraic expression: 3n+9

verbal statement: three times a number increased by 9

**Answer:**

3x + 9

**Step-by-step explanation:**

Hello!

Let's break down the sentence to convert it into an **expression**.

The phrase "**three** **times** a **number**" can be represented as

3*x or **3x**The phrase "increased by 9" can be represented as**+ 9**

So in total, you get **3x + 9**

Select all of the expressions that are equivalent to 5% of 60. 1/20(60), 1/5 times 60, 0.05 times 60, 0.5 times 60, 0.5(60), 5/100 times 60

### Answers

The** expressions** that are **equivalent **to 5% of 60 are 5/100 * 60, 0.05 * 60 and 1/20 * 60

How to determine the expressions that are equivalent to 5% of 60?

The **expression **is given as:

5% of 60

Express as fraction and decimal

5% of 60 = 5/100 * 60

5% of 60 = 0.05 * 60

This gives

5% of 60 = 1/20 * 60

Hence, the** expressions** that are **equivalent **to 5% of 60 are 5/100 * 60, 0.05 * 60 and 1/20 * 60

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Lauren needed to get her computer fixed. She took it to the repair store. The

technician at the store worked on the computer for 3.75 hours and charged her $119

for parts. The total was $400.25. Write and solve an equation which can be used to

determine x, the cost of the labor per hour.

Equation:

Answer: x =

### Answers

400.25-119= 281.25

281.25/3.75=75

X=75 hours

A system is composed of two components connected in series whose availabilities are 0.8555 and 0.9435, respectively. what is the system availability?

### Answers

Based on the question, the system **availability **is said to be ** 80.72%**.

How do you calculate system availability?

The term **System **availability is said to be calculated by dividing the uptime with or by the full sum of uptime and that of downtime.

For a **system **there is found to be connection made in series, its availability is one that can be calculated by using this formula:

A = A₁A₂

So, Substituting the said parameters into the formula, it will be;

A = 0.8555 × 0.9435

= 0.8072

**= 80.72%.**

So, Based on the question, the system **availability **is said to be ** 80.72%**.

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Simplify 6(x + 3) , im very confused

### Answers

**Answer: 6x+18**

**Step-by-step explanation: you just have to distribute so you multiply the six with whatever is inside so 6 times x is 6x + 6 times 3 is 18 so the answer is 6x+18 we cant simplify anymore**

How far apart were the closest marks on the ruler that was used to make a measurement of 23.435 m?

### Answers

The closest marks on the **ruler** that was used to make a measurement of **23.435m** is **0.01m** apart.

What is a Ruler?

This refers to a **tool** which is used to measure **distances** of two points or area and has standard **markings**.

Since the **thousandth** digit is uncertain and the **significant** figures are digits which are read from the **measuring** instrument plus one doubtful number on the **ruler** then the most appropriate choice will be** 0.01m.**

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squareroot of 36n squared

### Answers

Answer:6n

Explanation:

n^2 squared is n

36 squared is 6

Piper spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -8.4°F. Between 9am and noon, the temperature increased by 2.6°F. Between noon and 3pm, the temperature rose 1.2°F.

Between 3pm and 6pm, the temperature went down 9.9°F. What was the

temperature at 6pm?

### Answers

**Answer: -14.5°F**

**Step-by-step explanation:**

-8.4 + 2.6 = -5.8

-5.8 + 1.2 = -4.6

-4.6 - 9.9 =

-14.5

solve the equation for y.

4x+8y=2

### Answers

In this situation, you would need to move all terms that don't contain *y* to the right side and then solve.

[tex]y=\frac{1}{4} -\frac{x}{2}[/tex]

Hope this helps! If not, please feel free to comment below and I'll see what else I can do to help. Thanks and good luck!

A number is divisible by 9 if the ______ of digits is a _________ of 9

### Answers

**Answer: sum, multiple**

**Step-by-step explanation:**

A number is divisible by 9 if the sum of digits is a multiple of 9.

**Answer:**

**Step-by-step explanation:**

A number is divisible by 9 if the **sum** of digits is a **divisible** of 9.

Ezekiel spends t hours each night on his homework and 1/4 of this time studying math. Which equation represents the number of hours, h, Ezekiel will spend doing math homework during the next 5 days?

### Answers

The **equation **that represents the **number of hours **is Math = 5/4h

How to determine the equation that represents the number of hours?

The given parameters are

hours = h

days = 5

The **total time **spent on homework is

Total = hours * days

This gives

Total = h * 5

Evaluate

Total = 5h

He spent 1/4 on **math assignment**,

So, we have

Math = 1/4 * 5h

Evaluate

Math = 5/4h

Hence, the **equation **that represents the **number of hours **is Math = 5/4h

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Radioactive radium has a half-life of approximately 1,599 years. the initial quantity is 13 grams. how much (in grams) remains after 850 years? (round your answer to two decimal places.)

### Answers

The **quantity of substance** remains after 850 years is 8.98g if the **half life **of **radioactive radium **is 1,599 years.

The time taken by substance to reduce to its** half** of its initial concentration is called **half life period**.

We will use the **half- life** equation N(t)

N e^{(-0.693t) /t½}

Where,

N is the initial sample

t½ is the **half life time period** of the substance

t2 is the time in years.

N(t) is the reminder quantity after t years .

Given

N = 13g

t = 350 years

t½ = 1599 years

By substituting all the value, we get

N(t) = 13e^(0.693 × 50) / (1599)

= 13e^(- 0.368386)

= 13 × 0.691

= 8.98

Thus, we calculated that the **quantity of substance** remains after 850 years is 8.98g if the **half life **of **radioactive radium** is 1,599 years.

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Ashley was given $15 for mowing the

lawn. She now has $33. How much

money did she start with?

### Answers

**Answer:**

$18

**Step-by-step explanation:**

x + 15 = 33

x = 33-15

x = 18

The weekly profits of a Company A is determined by multiplying the number of units sold by the cost per unit. The company sold 2000 units one week at a price of $10 per unit. For each $5 increase in cost per unit, the company sells 10 fewer units.

The weekly profits of Company B is represented by y.

What quadratic inequality represents a week where the profits of Company B is less than Company A?

### Answers

The correct weekly profit of company B as represented by quadratic inequality is as below:

y≤−50x2+19950x+20,000 y less than or equal to negative 50 x squared plus 19950 x plus 20,000

**What is the initial weekly profit?**

The initial **weekly profit **is determined as the initial price of **$10** multiplied by** 2,000 units **sold in one week.

However, a change in price by **$5**, I mean an increase of $5 means that the quantity sold falls from** 2,000 units **to **1,990 units,** however, it is evident that volume falls but the **profit** would increase the increase in profit by $5 on 1,990 units is more than the decrease in sales revenue by 10 units, hence, the **quadratic equation** should have an equal to sign and less than not just less than.

Profit after decrease of 10 units=1990*($10+$5)

Profit after decrease of 10 units=**$19,950**(the option that $19,950 and > or = signs is correct)

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When testing the differences between means, the _____ hypothesis suggests that population means are not equal.

### Answers

When testing the differences between means, the** research hypothesis** suggests that population means are not equal.

This is further explained below.

What is** a research hypothesis**?

Generally, A declaration of an expectation or prediction that will be put to the test by means of research is known as a research hypothesis. Read up on the subject that you're interested in before you try to formulate a research hypothesis about it.

In conclusion, The study **hypothesis proposes **that population means are not equal, and this may be tested by comparing how different means compare to one **another**.

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find three consecutive integers such that the sum of the second and third exceeds half of the first by 33

### Answers

Using a **system of equations**, the **three consecutive integers **are given as follows:

20, 21 and 22.

What is a system of equations?

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

For this problem, the **consecutive integers** are given by:

x, x + 1 and x + 2.

The **sum **of the second and third exceeds half of the first by 33, hence:

x + 1 + x + 2 = 0.5x + 33

2x + 3 = 0.5x + 33

1.5x = 30

x = 30/1.5

x = 20.

Hence the **integers **are **20, 21 and 22.**

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15 men can dig a trench of 90m long in 3 hours.how long will it take 16 men to dig a trench 48m long

### Answers

It will take** 1.5 hours** for 16 men to dig a trench **48 m long.**

How can this be calculated?

It should be noted that the time needed is direct proportional to the length of the trench, and inverse proportional to number of men.

The equation can be written as

t=kl/m..................................................... eqn(1)

Then if we substitute the given figures we have,

3=90k/15

Then k= 0.5

then substitute into eqn(1) we have

t=0.5 l/m

Therefore, since 16 men, 48m long, is required, the time will now be calculated as :

t=0.5 48/16

t= 1.5 hrs.

Therefore, It will take** 1.5 hours** for 16 men to dig a trench 48 m long.

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