Megan's family paid $45.00 for 5 tickets to the country fair. Each ticket costs the same amount. What was the cost per ticket?

Which of the following terms best describes the set of all points in a plane for which the difference between the distances of a

Gnoma [55]

Answer:

HYPERBOLA

Step-by-step explanation:

We have the statement,

'The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant'.

We know that,

Hyperbola is the set of points such that for point P anywhere on the curve, the absolute distance to the two fixed points is a constant.

i.e. From the figure, we see that, the difference of the distance of P from $F_{1}$ and $F_{2}$ is equal to constant 2a.

Thus, the term representing the given statement is HYPERBOLA.

6 0

3 years ago

50 POINTS AND WILL MARK BRAINLIEST NEED HELP ASAP

trasher [3.6K]

Answer:

Please see attached image and all steps below for both parts

Step-by-step explanation:

Task 1

The following system of equations includes a linear equation and a quadratic one:

$\left \{ {{y=x+2} \atop {y=x^2-8x+2}} \right} \}$

it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:

$x+2=x^2-8x+2\\x=x^2-8x\\x^2-9x=0\\x\,(x-9)=0$

and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]

There are two solutions: x = 0 and x = 9.

When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.

Task 2

Part 1:

Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10

So we can use:

$(40 -10)^2=40^2-2\,(40)\,(10)+ 10^2=1600-800+100=900$

to calculate its square.

Part 2:

let's choose a=9 and b=10 so we use:

$9^3+10^3=(9 + 10)\,(9^2-(9)\,(10)+10^2)=(19)\,(81-(90)+100)=19\,(81-180+100)=19\,*\,91=1729$

8 0

2 years ago

Is 4.70 greater than 4.07

Aleks [24]

Yes it is
extra stuff

4 0

3 years ago

Read 2 more answers

Which line has an undefined slope and goes through (5,-8)? A. Y=5 B. Y=-8 C. X=5 D. X=-8

Aleks [24]

Learn this...it helps
HOY = horizontal line, 0 slope, represented by x = a number
VUX = vertical line, undefined slope, represented by x = a number

undefined slope -- so its a vertical line
(5,-8)...remember, vertical lines are represented by x = a number....so we can say x = (now, what is the number for x in ur set of points ? it is 5...so ur equation is x = 5. it does not matter what value y is, x is ALWAYS gonna be 5

7 0

3 years ago

Read 2 more answers

HURRY!!! PLEASE HELP WITH QUESTIONS!!!! WILL MAKE BRAINIEST ANSWER!!!!

steposvetlana [31]

Answer:

#1) D.$623.52 ; #2) D.17.1 ; #3) B.II and III ; #4) C.A greater availability of ATM's may make it easier to do bank transactions. Someone may choose this availability over a higher savings interest rate; #5) B.Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time; #6) D.Make purchases or get cash now, and pay back the bank in monthly payments; #7) T; #8) B.Thursday ; #9) B.$1,545.83

Step-by-step explanation:

#1) 6.2% of her gross pay would be

0.062(765) = $47.43.

1.45% of her gross pay would be

0.0145(765) = 11.09

22% of the state tax withheld would be

0.22(68) = 14.96

This means her gross pay would be

765-68-47.43-11.09-14.96 = $623.52

#2) The employee benefits in addition to his gross pay would be

33500-28600 = 4900

This makes it

4900/28600 = 0.17 = 17% of his pay.

#3) Knowing where branches or ATMs are is helpful when choosing a bank. Additionally knowledge of personal usage habits and needs will help plan where best to bank.

#4) Having more ATMs available makes banking more convenient to some customers, which is more important to some customers than high interest rates.

#5) Having a chocolate bar offered for filling out an application for checking and credit is not a good reason to examine that given bank.

#6) You cannot "borrow" against a traditional checking account and then pay it back later.

#7) An ATM withdrawal is a POS (point of sale) transaction.

#8) At the end of the day Monday, Elizabeth has

252-114.6+150 = $287.40

At the end of Tuesday she has

287.40-79.68 = $207.72

At the end of Wednesday she has

207.72-161.39 = $46.33

At the end of Thursday she has

46.33-57.40 = -11.07

This is her first overdraft.

#9) Adding together the list of items deposited we have

13.50+942.06+75.53+670.14 = 1701.23

Taking out the cash he receives gives us

1701.23-155.40 = $1545.83

5 0

3 years ago