Mathematics High School

What are the ordered pairs of the
solutions for this system of equations?
f(x)=x^2 – 2x + 3; f(x) = -2x + 19

(4, [?]); ([ ], [])

Answers

Answer 1

Answer:

(4, 11) is one ordered pair  and (-4, 27) is the other ordered pair

Step-by-step explanation:

(1)  f(x) = x^2 - 2x + 3             (2)    f(x) = -2x + 19

-2x + 19 = x^2 - 2x + 3

x^2 - 16 = 0

(x - 4)(x + 4) = 0

x = 4   or    x = -4                                  -2(4) + 19 = 11

                                                             -2(-4) + 19 = 27

So, when x = 4, y = 11                   and when x = -4, y = 27

(4, 11) is one ordered pair              and (-4, 27) is the other ordered pair

Related Questions

Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.
Which equation represents the amount of money in dollars, x, Adam will owe in one year, if no payments
are made?

Answers

Answer:

$235.2

Step-by-step explanation:

Given data

Principal=  $5,600

Rate= 4.2%

Time= 1 year

The expression for the simple interest is given as

SI= PRT/100

substitute

SI= 5600*4.2*1/100

SI= 23520/100

SI=$235.2

Hence after 1 year he will pay $235.2

Jackie's mother's sister has a son. How would that son be related to Jackie? He is Jackie's​

Answers

Answer:

cousin

Step-by-step explanation:

because his moms sister is his aunt and if she had a kid it would be his cousin hope this help

Jackie's aunt son would be related to Jackie as her cousin.

Cousin

Cousin is referred to as the son or daughter of an uncle or aunt. Cousins are people who share a common ancestor that is at least 2 generations away, such as a grandparent or great-grandparent.

Jackie's mother's sister is Jackie's aunt. Therefore Jackie's aunt son would be related to Jackie as her cousin.

Find out more on Cousin at: https://brainly.com/question/12481514

Find the value of x in the triangle

Answers

Answer:

x+23+80=4x+17

x+103=4x+17

103-17=4x-x

86/3=x

x=28.66

Step-by-step explanation:

What information do you use from Desmos to create your quadratic equation? I’ll give brainliest

Answers

Answer:

A quadratic function has the formula y equals a x squared right and once you have a square.

Which statement best describes the effect nicotine has on the central nervous system?
A.
It acts as a stimulant and causes pleasurable feelings.
B.
It acts as a sedative and relaxes the mind.
C.
It acts as both a stimulant and a sedative.

Answers

Answer:

c can i have brainliest pls i need for virtuoso

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because thats what nic does

Hey! So I need help because I don't understand anything that I'm doing.

Answers

I think the answer is 108ft. First multiply 12x12 to find the area of the entire square, then multiply 6x6 for the part that is missing. Then subtract 36 from 144.

Answer:

Step-by-step explanation:

What are 3 ways you could use arts and music outside school

Answers

Painting a mural
Doing charity work like playing a concert
Design

What is the first step in solving this equation? 2(3x - 4) = 3x + 1 a combine like terms b move x to the other side c distributive property d multiplication

Answers

You need to do the distributive property first so the answer is C

What is the volume of this rectangular prism?

A rectangular prism with a length of 6 and one-fourth foot, width of 14 feet, and height of 3 feet.
87 and one-half feet cubed
131 and one-fourth feet cubed
252 feet cubed
262 and one-half feet cubed
HURRY ITS TIMED

Answers

Answer:

Multiply the length, the width, and the height. You can multiply them in any order to get the same different result. The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in. * 4 in. * 3 in. = 60 in.

Step-by-step explanation:

Answer:

I got B 131 and one-fourth feet cubed

Step-by-step explanation:

What is the measure of m? 6 24 n m = ✓ [?] Enter
WHOEVER IS RIGHT GETS BRAINLIEST
​

Answers

Answer:

n = 12

Step-by-step explanation:

Find the diagram attached.

According to the altitude theorem;

24/n = n/6

Cross multiply

24 * 6 = n²

144 = n²

Swap

n² = 144

n = √144

n = 12

Hence the value of n is 12


A movie theater has 13 new release movie posters. How many ways can the manager choose 7
posters for a promotion?

Answers

Answer:

1716

Step-by-step explanation:

I'm pretty sure

The manager can choose a group of 7 posters for a promotion in 1716 ways.

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in a total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

A movie theater has 13 new release movie posters

the manager choose a group of 7 for posters.

When we choose 7 posters, the order does not matter.

So we use a combination

We need to find 7 from 13 new release movie posters.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^13C_7 = \dfrac{13!}{7! \times (13-7)!} ways.\\\\^13C_7 = \dfrac{13!}{7! \times6!} ways.\\\\^13C_7 = 1716[/tex]

The manager can choose a group of 7 posters for a promotion in 1716 ways.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?
y= 2x-1
y= -2x+1
y= 1/2x -6
y= -1/2x -5

Answers

Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

what's the circumference of a circle with the radius of 7 ft use 3.14 for π​

Answers

Answer:

7 x 3.14 x 2 = 43.96 ft

Step-by-step explanation:

Formula of Circumference:

pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2 x r(given radius or half your diameter

Can someone help me ASAP

Answers

Answer:

A) 1/2

Step-by-step explanation:

blue/total number of spins

30/60

1/2

Ans: 1/2

what's the answer ?

[tex] \sqrt{255 - 30} [/tex]
​

Answers

Answer:

[tex]\sqrt 255-30[/tex]

= -14.0312805773

Answer:

[tex] \sqrt{255 - 30} [/tex]

[tex] \sqrt{225} [/tex]

[tex] \sqrt{15²} [/tex]

=±15 is a required answer

Can somebody help me out my grade are bad like this

Answers

Answer: no like this

Step-by-step explanation:

Please give a real answer. What is the surface area of this composite figure?

Answers

Answer:

          268 cm²

Step-by-step explanation:

[tex]10\cdot7+7\cdot8+2\cdot(\frac12\cdot8\cdot6)+2\cdot(2\cdot6)+2\cdot(2\cdot7)+6\cdot7=\\\\=70+56+48+24+28+42=268[/tex]

Which expression is equivalent to 48 + 54?

Answers

48 + 54 = 102

102 / (8+9) = 6

48 + 54 = 6 x (8+9)

6 can be written on the blank line to make the expressions equivalent.

can i please get brainlist

Answer: 8+9

Step-by-step explanation:

Divide both by 6

48/6 = 8

54/6 = 9

This is the lowest point you can divide it by meaning 8+9 would be equivalent to 48+54.

I didn't see any multiple choice answers to choose from so this could be wrong.

15. In a random sample of 40 students, 25 students preferred chocolate to
vanilla. If there are 120 student in the school, how many like chocolate

Answers

25/40 = x/120
solve for x you get 75

Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben rode 2 miles east.

How far apart are the two boys?

Round to the nearest tenth if needed.

Answers

Answer:

3.6 miles

Step-by-step explanation:

a²+b²=c²

a and b are triangle legs, and for this question it doesn't really matter which you identify as a or b. We are looking for c, or the distance apart from each other.

3²+2²=c²

= 9+4=c²

= 9+4= 13

= c² = 13

Now we are looking for the square root of 13

√13 = 3.605...

This rounded to the nearest tenth is 3.6

The answer is 3.6 miles.

Hope this helped and made it a bit easier to understand - sorry if the text format is a little messy.

Josh and Ben are 3.6 miles apart from each other.

The distance covered by Josh north, distance covered by Ben east and the distance between the two boys forms a right angled triangle.

Let x represent the distance between the two boys.

Using Pythagoras theorem:

x² = 3² + 2²

x² = 9 + 4

x² = 13

x = 3.6 miles

Therefore both Josh and Ben are 3.6 miles apart from each other.

Find out more at: https://brainly.com/question/9761076

Can someone help me please.

Answers

8. is 16

10. is 5
11. is 10
9. Is 20 since it wasn’t said in the previous answer

Given the parallelogram solve for x and find the measure of

Answers

Answer:60

x=8.14

Step-by-step explanation:

please help,
i accidentally skipped the lesson and i'm not sure what to do.

Answers

Answer:

75

Step-by-step explanation:

Find the difference between the measures of the two intercepted arcs and divide by 2:

(180-30)/2 =150/2 = 75

The measure of angle ACE is 44 degrees.

Please help correct answer gets brainly but hurry fast please

Answers

SHHHHEEESSH that looks tuff anyways help this soul out plz

Answer:

A (1,0)

B (0,-3)

C (-6,5)

D (-3,-5)

I don't really think I have to explain it.

hope this helps!!

17 ft.
8 ft.
15 ft.

What is the area of the triangle above?

Answers

Answer:

60 ft²

Step-by-step explanation:

Answer:

60 ft.

Step-by-step explanation:

8*15 = 120/2 = 60

Find the average of Brendan's Math test Scores:
82,95,71,88,89
average= _____
Please help me

Answers

Answer:

The average score is 85

Step-by-step explanation:

Good Luck!

The sidewalk is 5 feet wide and the garden measures 40 feet across. Which measurement is closest to the area of the sidewalk?

A.
3,200 ft

B.
1,400 ft

C.
700 ft

D.
1,000 ft

Answers

Answer:

C

Step-by-step explanation:

I need help ASAP PLEASE ASAP!!!

Answers

The area is 10 just use a area calculator!
The area is 10:) good luck on it

Write the product using exponents.
(−7) (−7) (−7) (−7) (−7) (−7) (−7) (−7)

Answers

Answer:

(-7)^8

Step-by-step explanation:

You write as (-7) to the power of n where n is the #of times you write (-7)

Answer:

-7

Step-by-step explanation:

2/3 y = 1/4 y ___?

A) 3/8
B) 5/12
C) 11/12
D) 2 2/3

Answers

Answer:

Heyaa!! Im Pinky!! And Im Here To Inform You That Your Answer Is...

Step-by-step explanation:

!!!! A. 3/8 !!!!

My calculations:

      Given

   2/3 y = 1/4

  Multiply Each Sides by 3!

      2y = 3 ×  1/4= 3/4

 Then we can Divide both sides by 2!

 y= 3/4 ÷ 2 = 3/4 × 1/2 = 3/8!!

  Have An Amazingly Good Day!!! (or night!)

~Pinky~

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