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HACTEHA [7]
3 years ago
9

The difference of the square of a number and 28 is equal to 3 times that number find the positive solution

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0
<h2>The required positive number is 7.</h2>

Step-by-step explanation:

Let the number = x

To find, the positive number = ?

According to question,

x^{2}-28=3x

⇒ x^{2} - 3x - 28 = 0

By Factorisation method,

⇒ x^{2} - 7x + 4x - 28 = 0

⇒ x(x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x - 7 = 0 or, x + 4 = 0

⇒ x  = 7 or, x = - 4 [ - 4 is a negative number)

⇒ x  = 7

Thus, the required positive number is 7.

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The weather forecast gives a 20% chance of rain tomorrow. If it is fine, the probability that Bernard will go sailing is 80%, bu
diamong [38]
It would be c if I am wrong don’t get mad plz
6 0
2 years ago
Rosa throws a ball. The equation d = −t^2 + 4t + 5 represents the path taken by Rosa's ball where d is the height of the ball (i
satela [25.4K]

Answer:

B

Step-by-step explanation:

-t²+4t+5=0

t²-4t-5=0

t²-5t+t-5=0

t(t-5)+1(t-5)=0

(t-5)(t+1)=0

t=5,-1

when t=0,d=5

actual time it it is in air=5-1=4 seconds.

5 0
3 years ago
Read 2 more answers
A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 are reggae songs, and 2 are country songs.
mart [117]

Answer:

\displaystyle  \frac{1}{28}

Step-by-step explanation:

we are given 8 songs

2 are <em>rock.</em><em> </em>4 are <em>reggae</em>, 2 are <em>country</em>

we want to figure out the probability of getting both reggae songs

notice that, they aren't replacing thus it's an independent probability

recall that,

\displaystyle \rm P(A  \:  \text{and} \: B) = P(A) \times P(B \mid A)

P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time

let's figure out P(A)

we have 2 reggae songs

and total 8 songs

therefore

\displaystyle\rm P(A) =  \frac{2}{8}  =  \frac{1}{4}

let's figure out P(B|A)

since we took a reggae song before now we have only a reggae song

and total 8-1=7

therefore

\displaystyle  \rm P(B\mid A) =  \frac{1}{7}

Altogether

\displaystyle \rm P(A  \:  \text{and} \: B) = \frac{1}{4}  \times  \frac{1}{7}

simplify multiplication:

\displaystyle \rm P(A  \:  \text{and} \: B) = \frac{1}{28}

And we are done!

7 0
3 years ago
How much interest would an account earn if 3,000 is invested at an interest rate of 4.8% compounded semiannually for 2 years
Dafna11 [192]
(See attached graphic)
Total = 3,000 * (1 + .048/2)^2*2
Total = 3,000 * (1.024)^4
Total = 3,000 * <span> <span> <span> 1.0995116278 </span> </span> </span>
Total = <span> <span> <span> 3,298.53</span>
</span> </span>





5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Chuge%5Ccolor%7Byellow%7D%5Cunderline%20%5Ccolorbox%7Bviolet%7D%20%7B%5Ccolor%7Bred%7D%7BQUE
Leno4ka [110]

Answer:

21.27 cubic meters

22.30 cubic meters

Step-by-step explanation:

We find volume by multiplying height, width, and length.

21.

3x3x3=27 cubic meters

22.

5x2x3=30 cubic meters

3 0
2 years ago
Read 2 more answers
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