1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elis [28]
4 years ago
11

1. The value of k for which equation 9x2 + 8xk+8 = 0 has equal roots is:

Mathematics
1 answer:
Nesterboy [21]4 years ago
8 0

Answer:

Option C

+ or - 3

Step-by-step explanation:

A quadratic equation will have equal roots if its Discriminant is equal to zero.

the discriminant in this case is b^{2}- 4 ac

considering the equation,

9x^{2} + 8xk+8 = 0

a = 9, b= 8k, c=8

Replacing the variables in the original equation with their respective values, we will have:

8k^{2}- 4 \times 9 \times 8=0\\64k^{2}=288\\k=\sqrt{288/64} =\sqrt{9/2}

Note: The values of k are meant to be + or -2.12 as seen from the workings

However, these are not in the options given. the closest choice to it

is + or - 3

You might be interested in
In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?
sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

E = 18375, t = 10, I = 0.0525

We want to find P. So

E = P*I*t

18375 = P*0.0525*10

0.525P = 18375

P = \frac{18375}{0.525}

P = 35000

The principal amont was $35,000

5 0
3 years ago
Can anyone actually help and not just bs me, plsss and thank you!
Eva8 [605]

Using conversions between odds and probabilities, we have that:

1. A) 4:21

2. 0.952 probability that a bag of flour passes inspection.

3. C) 1:39

4. 41:59.

5. 14:11

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • An odd is given by a:b, in which <u>a is the number of successes and b is the number of failures</u>.

Item 1:

  • Probability of 0.16, thus, for 100 trials, <u>16 successes and 84 failures</u>, and the odd is:

16:84, which, simplifying by 4, is 4:21.

Item 2:

  • Odd of 20:1 means that 20 + 1 = <u>21 trials, there are 20 successes</u>, thus, the probability is:

p = \frac{20}{21} = 0.952

0.952 probability that a bag of flour passes inspection.

Item 3:

  • Probability of 0.025, thus, for 100 trials, <u>2.5 successes and 97.5 failures</u>, and the odd is:

2.5:97.5, which, simplifying by 2.5, is 1:39.

Item 4:

  • 59% probability that he will take the longest trail, thus 100 - 59 = 41% probability of him <u>not tanking the longest trail</u>, thus, the odds against him taking the longest trail is 41:59.

Item 5:

  • Probability of 0.56, thus, for 100 trials, <u>56 successes and 44 failures</u>, and the odd is:

56:44, which, simplifying by 4, is 14:11.

A similar problem is given at brainly.com/question/21094006

8 0
3 years ago
3x +y = -2x+8
soldier1979 [14.2K]

Answer: c) -4

Step-by-step explanation:

Get the variables on one side of 3x+y=-2x+8 and the constants on another side:

3x+y=-2x+8

(3x+y)+2x=(-2x+8)+2x

5x+y=8

Now, multiply 5x+y=8 by -2:

-2(5x+y=8)

-10x-2y=-16

Add this equation to -3x+2y=-10:

(-10x-2y=-16)+(-3x+2y=-10)

-13x=-26

x=2

Plug x=2 into -3x+2y=-10:

-3(2)+2y=-10

-6+2y=-10

2y=-4

y=-2

Therefore, (2, -2) is the solution to the system of equations, so xy=(2)(-2)=-4

5 0
3 years ago
Which equations are related equations to x + 4 = 15?
Setler [38]
First one is wrong bcs it should be smaller than the answer.
The second one is correct bcs to find the second number we need to do inverse operation, here is subtraction.
Third one is correct bcs this is the same (but if u r searching only for relating not same, then the third kind of wrong)
The last one is correct
6 0
3 years ago
Read 2 more answers
Please help me i'll give brainliest
Illusion [34]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the dimensions of the rectangular corral split into two pens (sharing a fence) of the same size producing the greatest encl
    9·1 answer
  • The first two terms of a geometric sequence are a 1 = 1/ 3 and a 2 = 1/ 6 . What is a 8 , the eighth term?
    14·1 answer
  • Can a triangle have two right angles? Explan?
    7·2 answers
  • The length of a rectangular piece of land is 64 yards
    9·1 answer
  • Suppose that the imports from a certain country grew from about 45 billion dollars in 1994 to 69 billion in 2000. Let x = 0 corr
    10·1 answer
  • Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w
    7·2 answers
  • 1/2x+3/2y=-7<br> -3x+2y=-2
    5·1 answer
  • Karmen is buying a new car. For the exterior, she can choose from three colors---black, gray, or white. For the interior, she ca
    5·2 answers
  • GJ is a midsegment of △HIK. If HI=s–59 and GJ=s–65, what is the value of s?
    8·1 answer
  • Find the missing interior angle for the triangle
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!