Need help with these questions.?

Question

F=x2 -5x
F equals amount of fine and X equals speed of car.
x2= x squared.

1.What speed would a person have been traveling on the road if they had to pay a fine of 176 dollars?

2.In the last six months anne has received tickets for driving 85 mph, 102mph, and 99mph. What are the domain and range for this relation?explain

Answer 1

Hello Dear DM

x ² -5x = 176
x ² -5x - 176 = 0

■ STEP 1
if a = 1 , b = -5 & c = -176
∆ = b ² - 4ac
∆ = ( -5 ² ) - 4 ( 1)(-176 )= 25 + 704
∆ = 729 & ∆ ≥ 0
x 1 = ( -b + √ ∆ ) / 2a = (-(-5) + √ 729) / 2 = +5 + 27 / 2
x 2 = ( -b - √ ∆ ) / 2a = (-(-5) + √ 729) / 2 = +5 - 27 / 2
● x1 = 32 / 2 = +16
● x2 = -22 /2 = - 11
As you know speed cant be Negative { Speed > 0 } , so we correct answer is
x1 = +16

■ STEP 2
Domain = { 85 , 102 , 99 }
Range
x1 = 85 , F = 7000
x2 = 102 , F = 9894
x3 = 99 , F = 9306
Range = { 7000 , 9894 , 9306 }

Good Luck Dear ♣

Answer 2

1. x^2 - 5x = 176
x^2 - 5x - 176 = 0
(x + 11)(x - 16) = 0
x = 16, -11
ie speed was 16 mph (over the limit??) (ignoring negative answer unless this interprets as 11 mph backwards)

2. When x = 85 F = 85 * 80 = 7000
when x = 102 F = 102 * 97 = 9894
When x = 99 F = 99 * 94 = 9306

Domain = {85, 99, 102} Range = {7000, 9306, 9894}

Answer 3

1)
x^2 - 5x - 176 = 0
factor and solve for x

domain -- In mathematics, the domain of a function is the set of all input values to the function.
85 mph, 102mph, and 99mph

range
In descriptive statistics, the range is the length of the smallest interval which contains all the data. It is calculated by subtracting the smallest observations from the greatest and provides an indication of statistical dispersion.
102 - 85 = 17

Answer 4

1. x^2 - 5x = 176, so solve x^2 - 5x - 176 = 0. Factoring gives (x + 11)(x - 16) = 0, so x = -11 or x = 16. x must be positive, so x=16.

2. Domain is { 85, 99, 102 }, the set of speeds. The range is { 8600, 9306, 9894 }, the values of F for each value x in the domain.

Answer 5

Set F = 176 and solve for x.
176 = x^2 - 5x
Subtract 176 from each side
0 = x^2 - 5x - 176
Factor
0 = (x-16)(x-11)
x - 16 = 0 or x + 11 = 0
x = 16 or x = -11
Your speed cannot be negative; therefore, x = 16
I think you are missing a part of your question. Are you sure x represents the speed of the car? or does x represent how many mph the person is exceeding the speed limit? If it's case 2, then we need to know what the speed limit is.

Answer 6

i might could in simple terms say no, I recommend, if a individual can not take hairspray or a bottle of shampoo on board these days i might could think of that a steel merchandise does no longer be allowed the two. Grrrr! (((Go8tm))) Dangit! I used all my brains cells in the final question, i'm clueless! Yeah, i comprehend, large ask your self, lol! : / enable me take yet yet another wager, is it lead from a pencil? Lol, this little pencil is finding at me in this container talking approximately "Oops! It looks such as you have 4 misspelling(s). HA! No i do no longer,..do I? question,...Can it mirror something like easy or notwithstanding?

Answer 7

use the ^ button shift 6
176=x^2-5x
graphing caculator
porabola
16 mph
Domain range of x or acceptable values no negatives and as fast as that junker can go
Range acceptable values for Y no negatives and well edventually they will just give you jail time

Answer 8

88.3 mph