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Allisa [31]
3 years ago
13

How many solutions doe

Mathematics
2 answers:
musickatia [10]3 years ago
8 0

Answer:

Given equation have two solutions.

x = -\frac{5}{2} and -\frac{8}{3}

Right option is (D)

Step-by-step explanation:

We have given,

6x^{2} +40=-31x

we can rewrite this equation in the form given as:

6x² + 40 + 31x = 0

or 6x² + 31x + 40 = 0

On solving this quadratic equation, we get :

x = -\frac{5}{2} and -\frac{8}{3}

That means, given equation have two solutions.

Right option is (D)

Alborosie3 years ago
8 0

Answer:

Option D is correct, i.e. two solutions.

Step-by-step explanation:

Given the equation is 6x² + 40 = -31x.

Rearranging the terms:- 6x² +31x +40 = 0.

Then a = 6, b = 31, c = 40.

Finding Discriminant as follows:-

D = b² -4ac

D = 31² -4*6*40

D = 961 - 960

D = 1

If we have positive value of D, then it has two real solutions.

Hence, option D is correct, i.e. two solutions.

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at a small school, one male and one female are selected to represent the student body at the PTSCA meetings. if there are 41 mal
I am Lyosha [343]

It is given that there are 41 males and 48 females in the small school.

So, the number of ways a male student can be chosen from 41 males is ^{41}C_1

Likewise, the number of ways a female student can be chosen from 48 females is ^{48}C_1.

Thus, the total number of ways in which 2-person combinations are possible to represent the student body at the PTSAC meetings will be given by:

^{41}C_1\times ^{48}C_1=1968


7 0
3 years ago
Find the quotient. –150 ÷ 3 brain liest for whoever does it!!
musickatia [10]

Answer:

-50

Step-by-step explanation:

3 0
2 years ago
3. A large fruit dish with a 36 in. diameter is placed in the center of a banquet across and is completely filled with apples. T
Serga [27]

Answer:

a) 11%

b) 56%

Step-by-step explanation:

a) A= πr^2    6^2π= 36π    A= 18^2π = 324π

36π/324π = .111111111111111111111111 or 11%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

b)   A= πr^2         18^2 π = 324π

     A= πr^2          12^2π = 144π  

              324 – 144  = 180

180π/324π = .5555555555555555555555556 or 56%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

3 0
3 years ago
Anyone answer please it is my H.W <br>don't spam ❌❌​
Nata [24]

Answer:

2a) = soln

20/3

2) divide the numeral by dinominator..

3)a) soln 7 3/4

4*7+3

= 31

do all like this ❣️

3 0
2 years ago
Read 2 more answers
17. You have $850 to buy new carpet for the game room. The dimensions of the game
gregori [183]

Answer:

Cost of new carpet per square foot should be less than or equal to $3.54.

Step-by-step explanation:

Given:

Money have to buy carpet = \$850

dimension of game room is 20 feet by 12 feet

So we can say length l = 20 feet

and width w = 12 feet

let x be the cost per square foot for new carpet.

Assuming game room to be rectangular in shape we will find the area of it.

Area of room = length \ l \times width \ w = 20 ft\times 12 ft = 240 \ ft^2

Total area \times cost per square feet ≤ Total money we have

Hence,

240 \ ft^2 \times x \leq \$850\\\\x\leq \frac{\$850}{240 \ ft^2}\\\\x\leq \$3.54 \ per \ ft^2

Hence Cost of new carpet per square foot should be less than or equal to $3.54.

3 0
3 years ago
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