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HACTEHA [7]
3 years ago
15

Use the discriminant to describe the roots of each equation. Then select the best description,

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

\bf \qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{6}x^2\stackrel{\stackrel{b}{\downarrow }}{+13}x\stackrel{\stackrel{c}{\downarrow }}{+6}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ \underline{positive}&\textit{two solutions}\qquad \textit{\Large \checkmark}\\ negative&\textit{no solution} \end{cases} \\\\\\ 13^2-4(6)(6)\implies 169-144\implies 25

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A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16. If he had sold it at 10% discount he would have gained Rs
Murrr4er [49]

Answer: Marked Prixe = Rs. 1800

Step-by-step explanation:

Let the marked price be M

1) A retailer allowed 12% discount and sold a T-shirt at a loss of Rs 16.

SP = 0.88M

CP - SP = 16

CP = 16 + SP

CP = 16 + 0.88M

2) If he had sold it at 10% discount he would have gained Rs 20.

SP = 0.9M

SP - CP = 20

0.9M = 20 + CP

CP = 0.9M - 20

16 + 0.88M = 0.9M - 20

0.9M - 0.88M = 20+16

0.02M = 36

36 = 0.02M

M = 1800

6 0
3 years ago
What is the explicit equation for the sequence of 25, 21, 17, 13?
OlgaM077 [116]

Answer:

You are taking away 4 each time

Step-by-step explanation:

25 - 4 = 21

21 - 4 = 17

17 - 4 = 13

13 - 4 = 9

3 0
3 years ago
If you went to the hospital and you have a deductible of $250 and your bill was $1,000 dollars, how much money do you owe?
MA_775_DIABLO [31]

Answer:

The money which will be owe  is $750

Step-by-step explanation:

Given as :

The hospital bill which is charge = $1000

The deductible amount in hospital bill = $250

So, The rest amount will be owned

∴ The Amount which will be owned = Total bill - Deductible bill

Or,The Amount which will be owned = $1000 - $250 = $750

Hence The Amount which will be owned  is $750    Answer

4 0
3 years ago
Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).
Rom4ik [11]

Answer:

Range of \phi^{-1} is (−5,11).

Step-by-step explanation:

Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).

Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by\phi^{-1}

Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by \phi^{-1}

Hence, Range of \phi^{-1} is (−5,11)



3 0
3 years ago
Read 2 more answers
-24 + 2(w-9)<br> Show and explain work <br> (Distributive property)
Colt1911 [192]

Answer:

2w-42

Step-by-step explanation:

-24+2(w-9)

We need to distribute the 2 to the w-9 in the parentheses as per PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

-24+2w - 18

Subtract -24 -18

2w - 42

4 0
3 years ago
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