Answer:
y = 2(x - 1)² + 1
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 1), thus
y = a(x - 1)² + 1
To find a substitute (4, 19) into the equation
19 = a(4 - 1)² + 1
19 = 9a + 1 ( subtract 1 from both sides )
18 = 9a ( divide both sides by 9 ), thus
a = 2
y = 2(x - 1)² + 1 ← in vertex form
Answer:
14 elliptical machines
Step-by-step explanation:
t = # of treadmills
e = # of elliptical machines
t + e = 38
t = e + 10
Substitute:
e + 10 + e = 38
2e = 28
e = 14
If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumper-to-bumper
Answer: We are given there are 49 cars
Also these 49 cars are in a line stretched 528 feet.
Now the average length of the car is:
Average length = 
=
Therefore, the average length of car is 10.78 feet
-2x^4 + 24x^2 - 10
u have 3 terms.....and since u are only dealing with 1 variable with the highest exponent being 4, then what u have here is a 4th degree trinomial.
U have a lead coefficient of -2.
Ur constant term is -10
And ur middle term (24x^2) has a degree of 2
a cubic binomial.....a binomial has 2 terms and it being cubic means the highest term has a degree of 3
example would be : x^3 - 4
how many constants can a polynomial have ? I am not sure about this one...I wanna say 1 because u can simplify it if it has more then 1...but I am not 100% sure on this one
3x^2 + 6xy -10x^5 + y^6 - 10x^3y^5
when u have a polynomial with more then 1 variable, such as this one, the degree is not the highest exponent, it is the highest term.....-10x^3y^5...u add the exponents....so this term has a degree of 8, and it is the highest one in this problem....so this is an 8th degree polynomial with 5 terms
<h2><em><u>Answ</u></em><em><u>er</u></em><em><u>:</u></em><em><u>-</u></em></h2>
★ Input of the given function F(x) is 5.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
<h3>• <u>Given</u><u>:</u><u>-</u></h3>
✯ F(x) = 7x - 9
✯ Output = 26
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
<h3>• <u>Solution</u><u>:</u><u>-</u></h3>
According to the question the output is 26.
Hence, the above data can be written in an equation form.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ F(x) = 7x - 9 = 26
➪ 7x = 26 + 9
➪ 7x = 35
➪ 
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, F(x) = 5
