Mathematics High School

Simultaneous equations
y=x+2
y=x^2

Answers

Answer 1

Answer:

(- 1, 1 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = x² → (2)

Substitute y = x² into (1)

x² = x + 2 ( subtract x + 2 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )

Related Questions

Can you guys check these :) I’ll give brainleist :)

Answers

Answer:

9. No

10. Yes

Step-by-step explanation:

The first one is not, since you have (3, 3) and (3, 9).  In a function, each x maps to a single y.

The second one is since every x appears only once.


Determine the slope of each equation below:
y = 3x -8
y-4 = [(x + 5)
12x + 2y = 18

Answers

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction

What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x

Answers

Answer:

A: cos x

B: cos y

C: tan y

Step-by-step explanation:

The missing value of A, B and C are as follow:

A: cos x

B: cos y

C: tan y

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin (x-y)/ cos (x- y)

Step 2:

= sin x cos y + cos x sin y / cos x cos y - sin x sin y

Step 3:

= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y

step 4:

= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷

  (cos x cos y / cos x cos y - sin x sin y / cos x cos y)

Step 5:

= tan x + tan y / 1- tan x tan y

Learn more about Trigonometry here:

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Leon is posting 12 flyers for the science club and 18 for the music club. He wants to make all the locations identical, with the same combination of science club flyers. In addition, he wants to make sure that no flyers are left over. What is the greatest number of locations that Leon can post at?

Answers

Answer:

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations

Step-by-step explanation:

Science club flyers = 12

Music club flyers = 18

He wants to make sure that no flyers are left over.

Find the highest common factor of 12 and 18

12 = 1, 2, 3, 4, 6 and 12

18 = 1, 2, 3, 6, 9 and 18

The highest common factor of 12 and 18 is 6

The greatest number of locations that Leon can post at is 6 locations

Science club flyers = 12

= 12 / 6

= 2

Leon will post 2 science club flyers in each location

Music club flyers = 18

= 18 / 6

= 3

Leon will post 3 music club flyers in each location

Leon will post 2 science club flyers in each location

Leon will post 3 music club flyers in each location

The greatest number of locations that Leon can post at is 6 locations

PLease answer the slope
!!!!!!!!!!!!!!!!!!!

Answers

-2/1 or -2

Ignore this, Brainly be saying my answer should have more words-_-

58:27
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:

$0.50, $0.65, $0.80, $0.95, $1.10, ...

Which equation represents Marisa’s library fine as a function of a book that is n days overdue?

f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15

Answers

Answer:

a

Step-by-step explanation:

MATH MATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATH

Answers

NONONONONONONONONONONONONONONONONONONONONONONONONONONKNONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONO
NONONONONONONONONONONONONONONONONONONONONONONONONONONKNONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONONO
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john’s dog eats 4/5 tin of mince meat added in his meal every day . if dog eats 35 full tins of meat in one week(7 days) then how much does it eat every day.
​

Answers

Answer:

it eats five mince meat everyday

A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.

21 points bruh and also sub to RahimZ

Answers

12.25 sorry if wrong

Convert 4/7 to 42nds

Answers

Answer:

24... I hoped dis helped.

15+10f=-12 does someone knows this one?

Answers

Answer:

f = - 2.7

Step-by-step explanation:

15 + 10f = -12

10f = -12 - 15

f = -27/10

f = - 2.7

On the set of axes below, triangle ABC is graphed. Triangles A'B'C'
and A"B"C", the images of triangle ABC, are graphed after a
sequence of rigid motions.

Answers

Answer:

Step-by-step explanation:

a reflection followed by a rotation

The sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. Graphs are used to map out functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis and a vertical y-axis.

For the given situation,

The graph shows the triangle ABC plotted in the fourth quadrant.

The triangle A'B'C' are graphed in the third quadrant as its reflection.

The triangle A''B''C'' are graphed in the second quadrant by reflecting the triangle A'B'C' and then rotating it.

Hence we can conclude that the sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.

Learn more about graphs here

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.53х^2 – .6х^3
Standard form

Answers

well, my calculator gave me 0.53x^2 - 0.6x^3 for standard form, so i hope this helps :)

Multiply the polynomial expressions below.
(7x+5)(2x^3-4x^2+9x-3)
A. 14x^4-18x^3+43x^2+24x-15
B. 14x^4-18x^3+43x^2+24x-8
C.9x^4-11x^3+16x^2+11-8
D.9x^4-11x^3+16x^2+11x-15

Answers

Answer:

A. 14x⁴ - 18x³ + 43x² + 24x - 15

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like TermsExpanding

Step-by-step explanation:

Step 1: Define expression

(7x + 5)(2x³ - 4x² + 9x - 3)

Step 2: Expand

Distribute 7x:                    14x⁴ - 28x³ + 63x² - 21x + 5(2x³ - 4x² + 9x - 3)Distribute 5:                     14x⁴ - 28x³ + 63x² - 21x + 10x³ - 20x² + 45x - 15Combine like terms:        14x⁴ - 18x³ + 43x² + 24x - 15

Solve.
5 (2 – 3) < 5W + 20

Answers

Answer:

W > -5

Step-by-step explanation:

5×(-1) < 5W + 20

-5 < 5W + 20

-25 < 5W

-5 < W

W > -5

Please can someone help me?? I’ll give brainliest to the correct answer!!

Which situation does NOT show causation?

A) When the student population at a school increases, the number of teachers at the school increases

B) when the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving

C) When there are more workers on a project, the project is completed in less time.

D) When there is more protein in an athlete’s diet, the athlete scores more points in a game.

Answers

Answer: D

Step-by-step explanation:

y = (x + 1)(x - 2)
Distribution

Answers

You have to use FOIL (First, Outer, Inner, Last) so it would be y= x^2 -2x + x -2 then combine like terms you get y= x^2 (x squared) -x -2. Hope this helps!!

is 0.5 or 17/34 greater

Answers

Answer:

They're equal; 17/34 as a decimal is 0.5

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Answer:

17/34 is actually equal to 0.5. So since your comparing it to the decimal o.5 they are both equal to each other (:

Step-by-step explanation:

Thank you for your timeeee

PLEASE ANSWER BOTH!!!WILL GIVE BRAINLIEST!!!

Taylor has a collision deductible of $500 and a Bodily Injury Liability coverage limit of $50,000.

Taylor hits another driver and injures them severely.

The case goes to trial and there is a verdict to compensate the injured person for $40,000.

a) How much does Taylor have to pay?

b) How much does Taylor's insurance pay?

Answers

Answer: she will have to pay $500 and her insurances has to pay $40,000

Step-by-step explanation:

Answer: She will pay 9,000 dollars. Her insurance company will have to pay 7,000.

PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION

Answers

Answer:

look

Step-by-step explanation:

When she simplified her radical she put 5x*2x and 12 squared

what she should ahve done is 5x*4x^2 square 3x

I dont understand this

Answers

Answer:

x=66

Step-by-step explanation:

180-114=66

Interior angles on the same side of transversal are supplementary (180°).

So,

x + 114° = 180°

=> x = 180° - 114°

=> x = 66°

The drop down options are explicit and recursive.

Answers

Answer:

Recursive

Explicit

Step-by-step explanation:

An arithmetic sequence an be represented by a recursive rule which gives the first term and defines the nth term by relating it to the previous term, or by an explicit rule which defines the nth term as a function of n.

The recursive rule is that we have the initial term. To find the subsequent term, we will take that previous term and add it to our common difference.

Hence, we are relating the previous terms to define the nth term.

For the explicit rule, we simply have a function of n. To find the nth term, we can substitute our desired term n for n and evaluate.

i need help asappppp​

Answers

Answer:

make them all the separate rectangle

like 5*8+5*8+12*(15-8) = Answer

got it ?

Answer:

5*8=40

+5*8=40

+(15-8)= 7*12 =84 + 80

=164

Step-by-step explanation:

ps  happy thanksgiving

Draw a street diagram based on the given information
1) Fox Boulevard and
Harty Way are parallel
2) Barbosa Avenue
intersects Harty Way
and Fox Boulevard
I
3) Hankins Salon and
Chase bank are same
side interior angles
4) Buckley Park and Town
Hall are alternate
exterior angles
5) Popeye's and
McDonalds are on
corners that are
supplementary

Answers

Answer:

See attachment.

Step-by-step explanation:

The name of the streets and places are abbreviated as follows:

✍️The Streets:

Fox Boulevard = FB

Harty Way = HW

Barbosa Avenue = BA

✍️Places:

Hankins Salon = HS

Chase bank = CB

Buckley Park = BP

Town Hall = TH

Popeye's = PP

McDonalds = MD

Based on the information given, a diagram of the streets have been drawn and attached below.

what is the slope of the line 5x +2y = -15

Answers

Answer:

-5/2

Step-by-step explanation:

5x +2y = -15

-5x          -5x

2y = -5x - 15

y = -5/2x - 7.5

y = mx + b

Slope (m) = -5/2

down 5, right 2

-5/2
y = Mx + b
5x + 15 = - 2y
-5/2x -15/2 = y

Which number would make this inequality true?


______ <0.271



0.27100


0.28


0.21


0.309

Answers

0.21 because it is the only one smaller than 0.271 plz mark brainliest, trying to be virtuoso
that answer is correct also ^^^

question says.

which number would make this inequality true?________< 0.271

answer is

0.21

have a good day!!

You use a pair of shoes to measure a distance. The shoes are 10 3/4 inches long. The distance is equal to the length of 12 of the shoes. What is the distance?

Answers

Answer:

10 ft 9 in

Step-by-step explanation:

If you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, the shoes are 10 3/4 inches long. The distance is equal to the length of 12 shoes.

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

The total distance according to the given condition is,

= 12 × 10 3/4 inches

= 12 × 43/4

= 129 inches

Thus, if you use a pair of shoes to measure a distance and the distance is equal to the length of 12 of the shoes, the distance is 129 inches.

Learn more about the arithmetic operation here:

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Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Well, the linear equation of a line is:

y=mx+b

Where  

m

is the slope and  

b

is your y-intercept

So, you can just plug the numbers into the equation

m = − 3

and  

b = − 2

y = − 3x-2

At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?

Answers

Answer:

$0.52 cents per banana. $39 divided by the 75 bananas

Step-by-step explanation:

Answer:

$0.52

Step-by-step explanation:

When finding the unit price, we use divide the certain number of units of an item by the number of units

So for this question we will divide 39/75 to get a result of $0.52

1+2=? may be 3
plz help me
​

Answers

Answer:

I'm pretty sure it is 3

Step-by-step explanation:

Not too sure though

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