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Nastasia [14]
3 years ago
9

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

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0
◆ QUADRATIC RESOLUTIONS ◆

given \:  \: equation \:  \:  -  \\ \\   3 {x}^{2}  +7x - 2 = 0 \\  \\ here \: a = 3 \: \:  , \:  \: b = 7  \: , \:  \: c =  - 2 \\  therefore  \:  \: , \\ discriminant \:  =  {b}^{2}  - 4ac = 7 3 \\  \\  using \: quadratic \: formula \:  \: , \\  \\ x =  \frac{ - b +  \sqrt{d} }{2a}  =   \frac{ - 7 +  \sqrt{73} }{6}   \:  \:  \:  \:  \: ans.\\  \\ also \: \:  , \\  \\ x =  \frac{ - b  -   \sqrt{d} }{2a}  =   \frac{ - 7  -  \sqrt{73} }{6} \:  \:  \:  \:  \:  \: ans.
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Write an algebraic expression for the phrase.<br> seven less than x
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Answer:

7<x

Step-by-step explanation:

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If product of two numbers=384HCF=8,2cm=?​
lions [1.4K]

Answer:

96 and 288

Step-by-step explanation:

So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).

Such order independent pairs are (1,7) and (3,5).

Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.

The differences are 6*48=288 and 2*48=96.

We have found difference without finding numbers.

Ans.: 96 and 288

p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.

Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.

6 0
3 years ago
The radius of a cylindrical construction pipe is 1.5ft. If the pipe is 12 ft long, what is its volume?
yulyashka [42]

Answer:

approx 84.82 cubic. ft

Step-by-step explanation:

volume of cylinder =

volume = \pi {r}^{2} h

= 3.14 * (1.5)(1.5) * (12)

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3 years ago
Answer two questions about Equations A and B:
tia_tia [17]

Answer:

1. c) Add/ Subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

Answer two questions about Equations A and B:

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1) To get Equation B from Equation A we need to take the following steps

A. 3x – 1 = 7

We add one to both sides

3x - 1 + 1 = 7 + 1

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3x = 8

Option c is the correct option.

2) We are given Equations:

A. 3x – 1= 7

B. Зx = 8

3x - 1 = 7 = 3x = 8

3x = 7 + 1 = 3x = 8

3x = 8 = 3x = 8

Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.

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3 years ago
Given right triangle ABC, what is the value of tan (A)?
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