Answer:
discriminant: 4; number of real roots: 2
Step-by-step explanation:
The coefficients a, b and c of this quadratic are {-3, -2, 0}.
Thus, the discriminant b^2 - 4ac is (-2)^2 - 4(-3)(0), or 4.
Because the discriminant is positive, this quadratic has two real, unequal roots.
-3p^2 - 2p can be factored as follows: -p(3p + 2). If we set this expression equal to zero, we can find the roots: {-2/3, 0}
Answer:
It's C! y = 7
Step-by-step explanation:
Zach have to send 300 number of multimedia texts for the same cost in two packages.
<u>Step-by-step explanation:</u>
Package A charges $0.25 per multimedia text with no monthly fees.
Package B charges $0.20 per multimedia text and has a $15 monthly fee.
<u>To frame the equations :</u>
- Let x be the any amount of multimedia texts are sent.
- Let y be the total cost for using the multimedia package.
<u>Package A Equation :</u>
Total cost = No.of text sent × cost per text.
⇒ y = x × 0.25
⇒ y = 0.25x
∴ The equation of package A is y = 0.25x
<u>Package B Equation :</u>
Total cost = (No.of text sent × cost per text) + Monthly fee
⇒ y = (x × 0.20) + 15
⇒ y = 0.2x + 15
∴ The equation of a package B is y = 0.2x + 15
Now, the question is about how many multimedia texts will Zach have to send each month for the two multimedia texting packages to be the same cost.
⇒ equation of package A = equation of package B
⇒ 0.25x = 0.2x + 15
⇒ 0.25x - 0.2x = 15
⇒ 0.05x = 15
⇒ x = 15 / 0.05
⇒ x = 300
∴ Zach have to send 300 number of multimedia texts for the same cost in two packages.
Answer:
t = √ab²/fx
Step-by-step explanation:
fx= ab*2÷t*2, make t the subject of the formulae
Given the function
fx = ab²/t²
We are to make t the subject of the formula
fxt² = ab²
t² = ab²/fx
Take the square root of both sides
√t² = √ab²/fx
t = √ab²/fx
Hence the required value of t is √ab²/fx
Answer: 5
Step-by-step explanation:
Range = highest value - lowest value
The highest value from the data set given = 1
The lowest value = -4
Therefore :
Range = 1 - (-4)
Range = 1 + 4
Range = 5
