Mathematics College

1.x(x+4)=5
2.(x+3)raise to 2=36
3.(t+2)raise to 2+(t-3)raise to2 =9
4.3 4
--+-- =x-1
x 2x
5. 3 4
-------+------- =x-1
m-2 m+5
how did you transform each equation into a quadratic equation what concepts or principles did you employ​

Answers

Answer 1

x (x + 4) = 5

x² + 4x = 5

x²+ x + (-5) = 0

(x+3)²+(t+3)²=9

x² + 6x + 9 + t² + 6t + 9 = 9

x² + t² + 6x + 6t + 18 + (-9) = 0

x² + t² + 6x + 6t + 9 = 0

x² + t² + 6(x + t) + 9 = 0

3/x + 4/2x = x - 1

6/2x + 4/2x = x - 1

10/2x = x - 1

10 = (x - 1) 2x

10 = 2x² - 2x

0 = 2x² + (-2x) + (-10)

Related Questions

A function that is injective but not surjective

Answers

An example of an injective function R→R that is not surjective is h(x)=ex. This "hits" all of the positive reals, but misses zero and all of the negative reals. But the key point is the the definitions of injective and surjective depend almost completely on the choice of range and domain.

Look at the scatter plot. Which of these equations is the best representation of the trend line?

A. y = -5x + 5

B. y = 5x + 5

C. y = -5x - 5

D. y = 5x - 5

Answers

B. y = 5x + 5

you can see that the y intercept is at positive 5 and the slope is also positive because the line continues upwards.

A polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6

Answers

This can have several answers as long your equation follows what the question is asking!


It can look like:

7x^5+2x^2+6

Or can even look like:

7x^5 + 6x^4 + 5x^3 + 4x^2 +6

In both equations, the polynomial is a 5th degree, with its leading coefficient as 7 and a constant term of 6.

Hope that helps!

22 divided by a number s

Answers

22 divided my 2 is 11

Answer:

22 divided by 2 is 11

Step-by-step explanation:

How do you do this question?

Answers

Step-by-step explanation:

(a) dP/dt = kP (1 − P/L)

L is the carrying capacity (20 billion = 20,000 million).

Since P₀ is small compared to L, we can approximate the initial rate as:

(dP/dt)₀ ≈ kP₀

Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.

20 = k (6,100)

k = 1/305

dP/dt = 1/305 P (1 − (P/20,000))

(b) P(t) = 20,000 / (1 + Ce^(-t/305))

6,100 = 20,000 / (1 + C)

C = 2.279

P(t) = 20,000 / (1 + 2.279e^(-t/305))

P(10) = 20,000 / (1 + 2.279e^(-10/305))

P(10) = 6240 million

P(10) = 6.24 billion

This is less than the actual population of 6.9 billion.

(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))

P(100) = 7570 million = 7.57 billion

P(600) = 20,000 / (1 + 2.279e^(-600/305))

P(600) = 15170 million = 15.17 billion

756 divided by 36
plz need help

Answers

Answer:

21

Step-by-step explanation:

I did the math.

Answer:

756 divided by 36 = 21

What is the reciprocal of 2 3/5​

Answers

Answer:

Please give me Brainlest if my answer it correct!

Step-by-step explanation:

⇒ they are asking to find  reciprocal

=first the fractional form of    is

⇒ 10+3/5

  13/5

⇔now, the reciprocal of 13/5 is

= 5/13

Which of the following best represents a linear proportional relationship?

Answers

A linear proportional relationship is shown by y = 3x - 7.

What is a linear relationship?

We know that when we talk about a linear relationship, we mean the kind of relationship that would obey the equation of the straight line and the equation of the straight line would be y = mx + c

We have to look at the representations and see the one that actually fits into the model that have been shown above and when we look at it we can see that the y = 3x - 7.

This follows the pattern of the equation of the straight line.

Lear more about proportional relationship:https://brainly.com/question/29765554


#SPJ1

The best representation of a linear proportional relationship is the table of values

How to determine the best linear proportional relationship?

From the question, we have the following parameters that can be used in our computation:

The list of options

As a general rule, the equation of a linear proportional relationship is represented as

y = kx

Where k is the constant of proportion

This means that the given equations are not proportional relationship because they do not have the form y = kx

i.e. y = 3x - 7 and y = 8x + 25 do not have the form y = kx

Also, the equation y = kx implies that the graph passes through the origin

So, the given graph is not

The equation of the table is represented as

y = Y/X * x

So, we have

y = 2/24 * x

This gives

y = x/12

The equation of the table is of the form y = kx

Hence, the solution is the table of values

Read more about  proportional relationship:

brainly.com/question/29765554

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Which diagram has all of the correct lines of reflectional symmetry for the regular pentagon? A pentagon has 3 lines of reflectional symmetry. They intersect near the bottom of the figure. A pentagon has 5 lines of reflectional symmetry. They intersect in the center of the figure. A pentagon has 1 vertical line of reflectional symmetry. A pentagon has 3 lines of reflectional symmetry that intersect in the center of the figure.

Answers

Answer:

It is B

Step-by-step explanation:

Edge 2020

The zeroes of the function are

Answers

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

PLZ HELP ME PLZ

PLZ

I WAN'T HELP
HELP PLZ
DUE AFTER 10 MIN

Answers

Answer:

I'll Help you

Step-by-step explanation:

MARKING BRAINLIEST!!!!
Which of the following values of b makes 1/10= 4/b true?
A 20
B 5
C 40
D 14

Answers

The answer is C because of you simplify 4/40 is 1/10

Answer:

C 40

Step-by-step explanation:

1/10 = 4/b

1 x ? = 4 ?=4

10x4 = 40

4/40 = 1/10

I need help pls I’m really dumb

Answers

2- 464

5 - 1160

8 - 1856

The sales tax rate is 4.625%. If Shelley buys a snowboard
priced at $621.52, how much tax will she pay?
Round your answer to the nearest cent: $

And please do step by step

Answers

Take 621.52 and multiply by the sales tax rate of 4.625% which you get is 28.7453
Then add price of snowboard to sales tax amount of 28.7453
Total is 650.2653
Round it nearest cent

650.27

Dion predicted that he would sell 87 art prints. He actually sold 100 art prints. What are the values of a and b in the table
below?
Percent Error
Error
Ratio
Percent error
Item
Art prints
Approximate value
87
Exact value
100
Absolute error
b
a
a=-13, b=-13
a=-13, b=13
.
a = 13,b=-13
a = 13,- 13

Answers

Answer:

a = 13, b = 13

Step-by-step explanation:

In this example predicted value is 87 and actual value is 100

Error is 100 - 87 = 13

Absolute error is same, |100 - 87| = 13

So the correct choice is the last one:

a = 13, b = 13

Yesterday, a movie theater sold 274 bags of popcorn. A large bag of popcorn costs ​$4. A small bag of popcorn costs ​$1. In​ all, the movie theater made $523 from popcorn sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.

Answers

Hi I really hope you get the answer that’s too much to read so I’ve me point 3

Mira got a 71 and an 83 on her first two tests. If she wants her average to be exactly an 80, what would she need to get on her third test?

Answers

Answer:86%

Step-by-step explanation:

71+83+86=240

240/3=80% average

question in the picture ​

Answers

Answ

1 ounce = 1 oz · 1 cup = 1 c · 1 pound = 1 lb .

Step-by-step explanation:

Answer:

r= c/2π

its a little unclear what the question was... what should we do with the equation?

Step-by-step explanation:

hope this helps, have a nice day/night!

5x + 6y = 20 , 8x - 6y = -46

Answers

Answer:

5x + 6y = 20_____(1)

8x - 6y = -46_____(2)

Solving simultaneously:

Eqn(1) + Eqn(2)

5x + 8x + 6y + (-6y) = 20 + (-46)

13x = -26

x = -2

substituting this into Eqn (1):

5(-2) + 6y = 20

-10 + 6y = 20

6y = 30

y = 5

hence:

x = -2,y = 5.

just solve these 2 its prob easy i just too lazy to even try or think at the moment, want to go to bed...​

Answers

Answer:

The correct option is 'No Solution'.

Step-by-step explanation:

Given the system of the equations

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

[tex]2x-4y=12[/tex]

solving the system of the equations

[tex]\begin{bmatrix}y=\frac{1}{2}x-1\\ 2x-4y=12\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{1}{2}x-1[/tex]

[tex]\begin{bmatrix}2x-4\left(\frac{1}{2}x-1\right)=12\end{bmatrix}[/tex]

[tex]2x-4\left(\frac{1}{2}x-1\right)=12[/tex]

[tex]2x-2x+4=12[/tex]

[tex]4=12[/tex]

as

4=12 is false, therefore the system of equations has no solution.

Therefore, the correct option is 'No Solution'.

help plz go faster<3

Answers

most to least likely to happen:

land on a number less than 3

land on a section with a 1

land on an even number

hope this helps!! :)

Tyrell's gross income last month was $2,948.45 he paid 442.45. In pay roll tax for the month. How can you find Tyrell's. Her in come
A Add the payroll tax to the gross income.
B. Subtract the payroll tax from the gross income.
C. Multiply the payroll tax to the gross income.
D. Divide the payroll tax from the gross income.

Answers

B. subtract the payroll tax from the gross income

20 points :((((( Please help!!!
If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.

Group of answer choices

True

False

Answers

Answer:

true

Step-by-step explanation:

What is the range of the graph?

Answers

Answer:

-7≤y≥5 is correct

Step-by-step explanation:

A teacher asked the class to write an expression that has two decimal factors and an estimated product of 30.

Which of these expressions have an estimated product of 30? Check all that apply.
9.7 × 2.84
10.1 × 28.8
6.25 × 4.76
35.3 × 1.92

Answers

Answer:

9.7 x 2.84 and 6.25 x 4.76

Step-by-step explanation:

i just got them right lol

Answer:

the first and third one

Step-by-step explanation:

i did edg.

How were Egyptian farmers able to produce enough food to create a surplus?​

Answers

Answer: Well it depends if their land had rich soil or not and it depends on the weather and climate and where they settle near the equator or not so their crops (food) could grow faster and if they had enough farmers to take care of the crops as they were growing .

Step-by-step explanation:

HELPPPP PLEASEEEEEEEEWEE HELPPPPPPPP

Answers

Answer:

calculate the rise over the run.

therefore, it's -8/7

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

-8/7 when you calculate

The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a = 60 (g /t) .. In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes.

Answers

Answer:
Option 1 -
Step-by-step explanation:
Given : The goals against average (A) for a professional hockey goalie is determined using the formula . In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes.
To find : Which is an equivalent equation solved for g?
Solution :
Solve the formula in terms of g,

Multiply both side by t,

Divide both side by 60,


Therefore, option 1 is correct.

The value of x must be greater than ________.
0
1
3
7

Answers

Answer:

Neither, x can be a negative number as well. If there is context, please post more to the question.

Step-by-step explanation:

Answer:

3 is the answer. Good Luck

Step-by-step explanation:

Find the area of the Compound shape

The answer is 89 m^2

I just need the steps....

Answers

Answer:

Step-by-step explanation:

Area of semi-circle is [tex]\frac{\pi r^2}{2}[/tex] ≈ [tex]\frac{22}{7}[/tex] × 4² ÷ 2 ≈ 25 cm²

Area of square is 8² = 64 cm²

Total area is 25 + 64 = 89 cm²

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