Answer:
[tex]a_n= (n+2)^2-1 =(n+3)(n+1)[/tex]
Step-by-step explanation:
If you add 1 to each number, you get a perfect square: 4, 9, 16, 25, 36, which are the squares of 2, 3, 4, 5, 6...
[tex]a_n= (n+2)^2-1 =(n+3)(n+1)[/tex]
Note that the two expressions are the same, but one might be more convenient than the other if you are manually calculating terms.
Select the correct answer. What are the roots of the quadratic equation Y =x^2-10x+125 A x=5+-5√6 B x=-5+-10i C x=-5+-5√6 D x=5+-10i
Answer:
Option D: x = 5 ± 10i
Step-by-step explanation:
Given the quadratic equation, y = x² - 10x + 125,
where:
a = 1, b = -10, and c = 125:
Use the following quadratic formula to solve for the roots:
[tex]\displaystyle\mathsf{x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}[/tex]
[tex]\displaystyle\mathsf{x=\frac{10\pm\sqrt{(-10)^2-4(1)(125)}}{2(1)}}[/tex]
[tex]\displaystyle\mathsf{x=\frac{10\pm\sqrt{100-500}}{2}\:=\:\frac{10\pm\sqrt{-400}}{2}}[/tex]
Apply the imaginary unit rule, where it states that: [tex]\displaystyle\mathsf{\sqrt{-a}\:=\:i\sqrt{a}}[/tex] :
[tex]\displaystyle\mathsf{x=\frac{10\pm\:20i}{2}}[/tex]
[tex]\displaystyle\mathsf{x=\frac{10\:+\:20i}{2}\:=\frac{10(1\:+\:2i)}{2}\:=\:5(1+2i)}\:=5+10i}[/tex]
[tex]\displaystyle\mathsf{x=\frac{10\:-\:20i}{2}\:=\frac{10(1\:-\:2i)}{2}\:=\:5(1-2i)}\:=5-10i}[/tex]
Therefore, the correct answer is Option D: x = 5 ± 10i .
Which equation can be used to describe the relationship between x and y shown in the table below?
Answer:
y=-1x
Step-by-step explanation:
You would find the constant of proportionality which is -1 and then you would put that into that spot and get y=-1x
Please help me with these two questions
Answer:
1. -3 2. -2
Step-by-step explanation:
(ASAP) Toby hiked to a famous point with a beautiful view. It took 1 hour and 45 minutes to hike to the viewpoint and 1 hour and 7 minutes to hike back. Toby spent 1 hour and 37 minutes enjoying the view. If Toby started the hike at 9:27 A.M., what time did he get back?
Answer:
he returned at 1:56 pm pls give brainliest
if you drive 80kph for 3 hours and 45 minutes how far do u drive
Answer:
300 pretty sure
Step-by-step explanation:
7) Staples charges $28 for 8 boxes of pencils and $47 for 4 pencil sharpeners. Ms. Felix orders 70 boxes of pencils and 21 pencil sharpeners from Staples. How much does Ms. Felix spend on her order?
Answer:
Ms. Felix would spend $491.75 on her order.
Step-by-step explanation:
First, let's identify the components of this word problem that we'll need to solve it. We know that Staples charges $28 for 8 boxes of pencils, and $47 for 4 pencil sharpeners. Before we do anything else, we'll find the unit price of the pencils and pencil sharpeners to make it easier for us. Let's begin with the boxes of pencils. 28 ÷ 8 = $3.50 per box of pencils. As for the pencil sharpeners, 47 ÷ 4 = $11.75 per sharpener. Now that we know the basic costs, let's use them to solve our problem at hand. We'll multiply the number of items ordered by the base cost of the item.
Boxes Of Pencils:
70 × $3.50= $245.00
Sharpeners:
21 × $11.75= $246.75
Now that we know the cost of the two seperate items Ms. Felix ordered, let's add them to get our final answer.
$245 + $246.75 = $491.75Our final answer would be $491.75.
ow do you find the radius of a circle using the circumference?
Answer:
Step-by-step explanation:
Circumference / 2 times the radius (diameter) = pi
Circumference / pi = diameter (diameter / 2 = radius)
5.) A case of 24 tennis balls weighs 3 pounds. How much would a shipment of 2560 tennis
balls weigh?
Answer:
1920 pounds
Step-by-step explanation:
2560 divided by 24 = 640
640 x 3 = 1920
8(&- 6) +58 = 2(4x + 5)
Answer:
10=10 the statement is true (if the "&" was an x)
or
8 is the answer (if the "&" was an 8)
Step-by-step explanation:
You distrubute then add the like terms together (use phtomath it helps)
what is the answer for 8 x 12.231
Answer: 97.848
Step-by-step explanation: you know calculators exist, right?
h(x)= 2/3x= 4 the x value
Answer:Rewrite the function as an equation. y = 2 3 x − 4 Combine 2 3 and x . y = 2 x 3 − 4 Choose any value for x that is in the domain to plug into the equation. Choose 0 to substitute in for x to find the ordered pair. Tap for more steps... ( 0 , − 4 ) Choose 1 to substitute in for x to find the ordered pair. Tap for more steps... ( 1 , − 10 3 ) Choose 2 to substitute in for x to find the ordered pair. Tap for more steps... ( 2 , − 8 3 ) These are three possible solutions to the equation. ( 0 , − 4 ) , ( 1 , − 10 3 ) , ( 2 , − 8 3 )
)Step-by-step explanation:
Someone help pls!! Find the value of x
Answer:
Step-by-step explanation:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Impulse Calculator: Equivalent Fractions Calc...
Area Under the Curve Calculator: Multiplying ...
Volume of A Cylinder Calculator: F Distribution ...
Density Calculator: Probability Density Function ...
Find the unit rate.
2 specialty pizzas for $38.50 = $_______________ p
Answer:
Step-by-step explanation:
to find this all you need to do is divide the total price by the number of units you have. in this case 38.50 / 2 = 19.25 per pizza
Hello there! :)
If 2 pizzas cost 38.50 dollars, then we have to dibvide by 2 to find out the price of one pizza.
$19.25
Therefore, our final answer is: 19.25Hope this helps!
~Just a felicitous girlie
#HaveAnAwesomeDay
[tex]SilentNature :)[/tex]
Which of the following functions has the roots of -1 and 2? * a. f(x) = x² – x – 2 b. f(x) = x² + x – 4 c. f(x) = x² + x + 2 d. f(x) = x² – x + 5
Answer:
a
Step-by-step explanation:
yeah-ya............ right?
There is a population of 10 bacteria in a colony. If the number of bacteria doubles every 70
minutes, what will the population be 140 minutes from now?
Answer:
40
Step-by-step explanation:
Factor the trinomial, or state that the trinomial is prime,
y2 - 5y + 6
Answer:
Im doing this for the points lol
Sorry
Answer:
factorise it
Step-by-step explanation:
in the method ax2 + bx + c
so it can be done just in y
find a common factor
well there isn't one but we can see that we need to factorise it
+1 y2 times 6= 6
because there is only 1 y and you times it by 6
you'll see why when we factorise this
so x the squared number (1) x 6 =6
and the middle number is 5
find two numbers that
x multiply to make six
and add+ to make -5
those numbers are
-3
-2
because -2 + -3 = -5 and -2 x -3 = positive 6
so our answer of y2 + 5y + 6
is identical to = y2 -3y -2y +6
factorise in half
y2 -3y -2y +6
so now we can factorise!
in this bracket we have
a common factor of y in this bracket we have common
factor of 2
= y (y -3) + = -2(y-3)
BUT THERE IS STILL ONE MORE
THEN WE CAN SEE A COMMON FACTOR OF Y-3
put the (y-3) in front and the (-y-2) is left
put y from first bracket and -2 from second bracket into a seperate bracket
yay! factorised
BUT THERE IS STILL ONE MORE
ANSWER = (Y-2) (Y-3)
you can use the rainbow multiplying out of bracket method to prove it works.
PLZ GIVE BRAINLIEST
how it would be written out:
y2 + 5y + 6
y2 -3y -2y +6
y2 -3y -2y +6
y (y -3) -2(y-3)
(Y-2) (Y-3)
Select all ratios equivalent to 12:6.
1: 16.8
2: 10:5
3: 48:24
Answer:
1, 2, and 3 are all equivalent to 12:6.
Step-by-step explanation:
12:6 = 2:1
16:8 = 2:1
10:5 = 2:1
48:24 = 2:1
They are all equivalent.
Which image shows the translated figure of quadrilateral ABCD?
Answer:
where's the picture?
Step-by-step explanation:
two people describe a regular polygon. Brianna says that the polygon has side length 6.3cm and a perimeter 31.5cm. Desiderio says the polygon has side length n and perimeter 5n. which person's description tells you how many sides the polygon has without doing any calculations? why?
9514 1404 393
Answer:
Desiderio
Step-by-step explanation:
The number of sides of a regular polygon is multiplied by the length of the side to get the perimeter. To find the number of sides, the perimeter must be divided by the number of sides.
Brianna's description requires that division look like ...
31.5/6.3 = 5
Desiderio's description requires that division look like ...
5n/n = 5
Since we're supposed to tell the number of sides without doing any calculation, it seems Desiderio's description is better. (We have to realize that n/n = 1, so the factors of n cancel.)
Some of us are familiar with multiplication tables and quickly realize 30/6 = 5 based on memory. Which realization is faster depends on your memory and experience. Most would say evaluating Brianna's description cannot be done without calculation.
Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per week. This week, her goal is to make at least $75.
Use a system of inequalities to model the scenario above. Let x represent babysitting hours and y represent tutoring hours.
Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model.
Part a) Use a system of inequalities to model the scenario
Let
x-------> represent babysitting hours
y-------> represent tutoring hours
we know that
--------> inequality
--------> inequality
Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week
we know that
--------> inequality
This inequality represent Jeanne’s possible number of hours worked this week
Using a graph tool
the solution of this inequality is the shaded area
see the attached figure N
--------> inequality
This inequality represent Jeanne’s probable income earned this week
Using a graph tool
the solution of this inequality is the shaded area
see the attached figure N
Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model
we have the system of inequalities
--------> inequality
--------> inequality
the solution of the system of inequalities is the shaded area
using a graph tool
see the attached figure N
Let
------> see the attached figure N
The point belongs to the shaded area, so it is a system solution.
If the point is a solution, it must satisfy both inequalities.
Prove algebraically
substitute the value of x and y in the inequalities
inequality
------> is ok
inequality
-------> is ok
the point A satisfy both inequalities
therefore
the point A is a solution of the system
Answer:
the answer is B, Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week.
Step-by-step explanation:
What is the value of p?
HELP ME PLEASE I NEED HELP
Answer:
hope this helps ¯\_(ツ)_/¯
Step-by-step explanation:
y=3x+1
brainliest is appreciated
^‿^
If I read 80%of a book and there 16 pages left how many total pages were in the book
Answer:
Fourteen fourteen fourteenth fourteenth fourteenth fourteenth
What equation represents the relationship between X and Y shown in the table below
Answer: B
Explanation: B has-235 which is in the above list of y
Answer:
C
Step-by-step explanation:
Hello Jasmine. So let's try out all of the functions starting from the first one.
For A, assuming value of x = 3. (176*3)-59 = 469, so it is incorrect.
For B, assuming value of x =3. (-59*3)-235= -412, so it is incorrect.
For C, assuming value of x=3. (-59*3)-176= -353 (which is the corresponding value of y in the table.)
Which means the correct answer is C, if you need further help please let me know.
help asap please and thank you!!
The late fee for overdue books at a library is $0.25 per day per book, with a maximum late fee of $5.00 per book. Which graph models the total late fee for 3 books that were checked out on the same day and are overdue? Fees for Overdue Books Fees for Overdue Books A Late Fee ($) С Late Fee ($) 0 1 O 2 3 4 5 6 7 8 9 10 Days Overdue $ 799 10 Days Overdue Fees for Overdue Books Fees for Overdue Books 5 Late Fee ($) D Late Fee ($) 01 524 529 Days Overdue Days Overdue
Answer:
it would be D, right? A, says that everyday they have to pay $0.25 for all 3 books. C, is saying that for 3 books it costs $1 everyday. B, says that everyday they have to pay $0.50 for 3 books. But D, is saying that you have to pay $0.75 everyday for 3 books. $0.25 * 3 = $0.75. That is why I think it’s D.
Step-by-step explanation:
Three friends have dinner at a restaurant. The total bill for dinner is $41. The friends want to leave a 15% tip, how much money do they need to leave including tip?
Answer:
$47.15Step-by-step explanation:
Tip percentage = 15%
Total bill = $41
Tip = $6.15
[tex]41 \times 15\% \\ 41 \times \frac{15}{100} \\ \frac{615}{100} \ \\ 6.15 \\ [/tex]
Total bill including tip = $41 + $6.15 = $47.15
A line passes through the point (-2, 6) and has a slope of -9. Write the equation of
the line in point-slope form.
What is the missing reason in the proof?
Given: ∠ABC is a right angle, ∠DBC is a straight angle
Prove: ∠ABC ≅ ∠ABD
A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle.
definition of angle bisector
segment addition property
definition of congruent angles
transitive property
Answer:
ABC and ABD are congruent
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
PLEASE HELP A LOT OF POINTS
What is a parabola that has an axis of symmetry at x = 4 and moved up 7 units?
Answer:
y= (x-4)^2 +7
Step-by-step explanation:
4 left
7 up
not vertical and horizontal stretch or compression
