Determine The Slope Of The Line Passing Through The Given Points.(1, 2) And (2, -1)m = -3m = -1m = -6m=1000Which (2024)

Answer:

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

Step-by-step explanation:

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

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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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 .

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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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

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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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

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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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]

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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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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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

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 3xThe phrase "increased by 9" can be represented as
+ 9

So in total, you get 3x + 9

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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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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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

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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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

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!

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.

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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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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Answer:

$18

Step-by-step explanation:

x + 15 = 33
x = 33-15
x = 18

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 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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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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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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