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Elena L [17]
4 years ago
8

The equation x2 − 9 = 0 has real solution(s).

Mathematics
2 answers:
tatiyna4 years ago
6 0

Answer:

The roots are real and unequal (3, -3)

Step-by-step explanation:

x²-9=0

ax²+bx+c=0

Comparing we get,

a= 1

b= 0

c = -9

Determinant: b²-4ac

= 0² - 4(1)(-9)

= 36>0

D > 0

Therefore, the equation has real and unequal roots.

Algebraic identity:

x² - a² = (x-a)(x+a)

Using this identity

x²-9 = (x+3)(x-3)

Roots are 3 and -3 which are real and not equal to each other

Hope this answer helps you ..

sweet-ann [11.9K]4 years ago
3 0

Answer:

2 real solutions

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The number of 8-ounce glasses of water Shane drank each day for 12 days is represented in
masha68 [24]

The histogram representing the data is attcwhwd in the picture below.

Answer:

C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.

Step-by-step explanation:

The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.

From the histogram ;

Shane drank 1 - 2 glasses on exactly 1 day

Shane drank 3 - 4 glasses on exactly 3 days

Shane drank 5 - 6 glasses on exactly 6 day

Total number of days = 12

60% of 12 = 7.2

On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram

25% of 12 ; 0.25 * 12 = 3 days

From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.

5 0
3 years ago
Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. f(x) = −one eighth (x − 2)2 + 6 f(x) = one
vfiekz [6]

Answer:

A

Step-by-step explanation:

For any point (x, y ) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x-2)^2+(y-4)^2} = | y - 8 |

Squaring both sides gives

(x - 2)² + (y - 4)² = (y - 8)²

(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )

(x - 2)² = - 8y + 48

8y = - (x - 2)² + 48

y = - \frac{1}{8}(x - 2)² + 6 → A


3 0
3 years ago
Read 2 more answers
When you roast coffee, it loses 12% of its weight. how much fresh coffee do you need in order to get 14 2/25 lb of roasted coffe
Komok [63]

Answer:

16 lb of fresh coffee.

Step-by-step explanation:

Let  x pound be the  amount of fresh coffee needed.

100 - 12 = 88%  is equivalent to 14 2/25  of roasted coffee.

By proportion  x = 14 2/25  /  88/100

= 352 / 25 * 100/88

= 35200 / 25 * 88

= 16 lb  (answer).

6 0
3 years ago
PLEASE HELP
stepan [7]

Answer:

to big but i will slove it for u ok so see solution c one is correct

5 0
3 years ago
Read 2 more answers
What is the solution to the equation? 7x + 6 = -22
trapecia [35]

C.) x = -4 is the correct answer

Step-by-step explanation:

In order to solve the equation we have to isolate x on one side of equation

Given

7x + 6 = -22

Subtracting 6 from both sides

7x+6-6=-22-6\\7x=-28

Dividing both sides by 7

\frac{7x}{7}=\frac{-28}{7}\\x=-4

Hence,

C.) x = -4 is the correct answer

Keywords: Linear equation

Learn more about linear equation at:

  • brainly.com/question/5527192
  • brainly.com/question/5528742

#LearnwithBrainly

7 0
3 years ago
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