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VLD [36.1K]
3 years ago
15

Need an answer for question 7 HURRY PLEASE 20 POINTS

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

2x^2 = 6x - 5.

-x^2 - 10x = 34.

These have only complex roots/

Step-by-step explanation:

3x^2 - 5x = -8

3x^2 - 5x + 8 = 0

There are complex roots if the discriminant  9b^2 - 4ac) is negative.

Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160

This is positive so the roots are real.

2x^2 = 6x - 5

2x^2 - 6x + 5 = 0

D = (-6)^2 - 4*2*5 =  36 - 40 = -4

So this has no real roots only complex ones.

12x = 9x^2 + 4

9x^2 - 12x + 4 = 0

D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.

- Real roots.

-x^2 - 10x = 34

x^2 + 10x + 34 = 0

D = (10)^2 - 4*1*34 = 100 - 136 = -36.

No real roots = only complex roots.

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#3 The sales tax on a $20 shirt was 9%.
saveliy_v [14]

Answer:

Step-by-step explanation:

sales tax on the shirt= 20(0.09)=1.8 dollars

total cost with sales tax =20+20(0.09)=21.8$

3 0
3 years ago
Hii! I need some help, would anyone mind helping me?
Kisachek [45]

Step-by-step explanation:

{x}^{2}  - 14x  - 25 {y}^{2}  + 100y = 76

Factor by grouping,

( {x}^{2}  - 14x)   - (25 {y}^{2}  - 100y) = 76

Complete the square, with the x variables,

( {x}^{2}  - 14x + 49)  - (25 {y}^{2}  - 100y) = 125

Factor out 25 for the y variables

( {x}^{2}  - 14x + 49) - 25( {y}^{2}  - 4y) = 125

Complete the square

( {x}^{2}  - 14x + 49) - 25( {y}^{2}  - 4y + 4) = 25

Simplify the perfect square trinomial

(x - 7) {}^{2}  - 25(y - 2) {}^{2}  = 25

Make the right side be 1 so divide everything by 25.

\frac{(x - 7) {}^{2} }{25}  -  (y - 2) {}^{2}  = 1

Here our center is (7,2).

8 0
2 years ago
Can somebody tell me how to solve these kind of problems?
Ugo [173]

Answer: 918km^2

Step-by-step explanation:

area(a): 1700km^2\\percentage(p): 5.75 = \frac{5.75}{100}=0.0575\\years(y): 8

Let x be the new dimension of the area;

x=a-(a*p*y)

x=(1700km^2)-(1700km^2*0.0575*8)\\x=1700km^2-782km^2\\x=918km^2

6 0
3 years ago
If you have $11 and you spend $7 on a sandwich, drink, and chips, what fraction of your money did you spend?
larisa86 [58]

Answer:

Step-by-step explanation:

u had 11 and u spent 7

7/11 <=== the fraction of money u spent is 7 out of 11

8 0
3 years ago
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Help ASAP Ill mark brainliest
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Answer:

75 students

Step-by-step explanation:

500 students x 0.25 (25%) = 125 play baseball

500 students x 0.10 (10%) = 50 play soccer

125 who play baseball - 50 who play soccer  = 75 more students who play baseball

4 0
3 years ago
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