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Sever21 [200]
3 years ago
8

What is a positive solution of x squared -36=5x

Mathematics
1 answer:
miv72 [106K]3 years ago
4 0
Answer : 9


Explanation:

{x}^{2}  - 36 = 5x


Subtracting -5x from both sides,

{x}^{2}  - 5x - 36 = 0

Soving this quadratic equation by midterm split method,

{x}^{2}  - 9x + 4x - 36 = 0 \\  \\ x(x  - 9) + 4(x - 9) = 0 \\ (x - 9)(x + 4) = 0


So the roots here will be, +9 and -4.

Since the question is about only the positive value.
Your answer will be 9.
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Here are 15 cards, numbered 1 through 15. if you pick a card, what is the probability that you choose an odd number or a two?
kondor19780726 [428]
9/15. There are 15 cards and 8 of them are odd and 1 is a 2. 
5 0
3 years ago
The probability that a randomly selected student is a girl is 0.52, and the probability that a student is a girl and in an art c
DaniilM [7]

Answer: The answer is 0.38

Step-by-step explanation:

Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."

It's given that the probability that a student is a girl is 0.52.

However, in the question, it said that it's given a student is a girl.

You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.

4 0
2 years ago
Write 70 20 in lowest terms.
Harlamova29_29 [7]

Answer:     Find the GCD (or HCF) of numerator and denominator. GCD of 70 and 20 is 10.

   70 ÷ 1020 ÷ 10.

   Reduced fraction: 72. Therefore, 70/20 simplified is 7/2.

5 0
3 years ago
Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3​
maria [59]

Answer:

        a_1=4\\\\a_2=0\\\\a_3=3

Explanation:

The equation is:

      a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}

and

      a_4=-7, a_5=-36, a_6=-85

<u>1. Subsittute n = 6 into the equation:</u>

      a_6=3a_{5}-5a_{4}-4a_{3}

      Now subsititute the known values:

       -85=3(-36)-5(-7)-4a_{3}

      You can solve for a_3

      -85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3

<u />

<u>2. Substitute n = 5 into the equation:</u>

    a_5=3a_{4}-5a_{3}-4a_{2}

     Substitute the known values and solve for a_2

        -36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0

<u>3. Substitute n = 4 into the equation, subsitute the known values and solve for </u>a_1<u />

       a_4=3a_{3}-5a_{2}-4a_{1}

        -7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4

7 0
3 years ago
A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1
monitta

Answer:

Q1:

Share of the daughter (x):

2x + x + x + $1,000 = $9,000

4x = $8,000

x = $2,000

Share of the wife:

= 2($2,000)

=  $4,000

Share of the son:

= $2,000 + $1,000

= $3,000

Answer: wife, $4,000; son, $3,000; daughter, $2,000

Q2:

= 1/2x + $1,000

Answer: 1/2x + $1,000: expression for share of the son

Proof (the wife shares $4,000):

Share of wife (x):

x + 1/2x + 1/2x + $1,000 = $9,000

2x = $8,000

x = $4,000

Step-by-step explanation:

hope it helps!

6 0
3 years ago
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