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rodikova [14]
4 years ago
10

HELP PLEASE THIS IS MY FIRST QUESTION Type the correct answer in the box. Solve this equation using the most direct method: 3x(x

+ 6) = -10 Enter your solution in the exact, most simplified form. If there are two solutions, write the answer using the ± symbol.
Mathematics
1 answer:
vredina [299]4 years ago
7 0

Answer:

x=(-9±√51)/3

Step-by-step explanation:

3x(x + 6) = -10

3x²+18x=-10

3x²+18x+10=0

solve using uadratic formula a=3,b=18 anc c=10

x= (−b±√b^2−4ac)/2a

x=[-18±√18²-4(3)(10)]/2(3)

x=(-18±√18²-120)/6

x=(-9±√51)/3

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Can anyone please help explain what any of this means and how I could solve this? Many Thanks!
Yanka [14]

Step-by-step explanation:

step 1. this is a polynomial division problem

x^2 + 11x + 52

---------------------------------

step 2. (x -3) [ x^3 + 8x^2 + 19x + 13

step 3. x^3 - 3x^2

step 4. 11x^2 + 19x + 13

step 5. 11x^2 - 33x

step 6. 52x + 13

step 7. 52x - 156

step 8. R -> 169

step 9. Ans: x^2 + 11x + 52 R 169

6 0
3 years ago
Find the value of 0.39×9
Misha Larkins [42]
It is 3.51. I did the math
5 0
3 years ago
A merchant mixed 12 lb of a cinnamon tea with 3 lb of spice tea. The 15-pound mixture cost $24. A second mixture included 14 lb
bezimeni [28]

Hey there!!

Let us take the price of cinnamon tea as ' x ' and spice tea as ' y '

Now, let us take it into equation

12x + 3y = 15  -------------- ( 1 )

14x + 12y = 45 --------------- ( 2 )

Let us multiply the first equation with 4

48x + 12y = 60 --------------- ( 1 )

14x + 12y = 45 --------------- ( 2 )

Now, subtract equation 2

48x + 12y = 60

-14x - 12y = -45

Now, we get,

34x = 15

x = 15 / 34

This is the cost for cinnamon tea = $ 15 / 34

Now, substitute this into one equation

Let us take this equation - 12x + 3y = 15  

Now, substitute ' x '

12 ( 15 / 34 ) + 3y = 15

6 ( 15 / 17 ) + 3y = 15

90 / 17 + 3y = 15

3y = 15 - 90/17

3y = 165 / 17

y = ( 165/17 ) ( 1 / 3 )

y = $ 55/17

Cinnamon tea = $ 15/34

Spice tea = $ 55/17

Hope helps!



3 0
4 years ago
There are two taxi companies in town. Local Cab charges a $3 initial charge and then
Anton [14]

Answer:

your answer for that problem is 45.6

3 0
3 years ago
The height of a triangle is 7 cm longer than its base. The area of the triangle is 60 cm². What is the base of the triangle? Ent
Whitepunk [10]

Answer:

MRCORRECT has answered the question

Step-by-step explanation:

Base = b

height =h = b+7

Area = 1/2 * b* h

60 = 1/2*b*(b+7)

120 =b2+7b

 

b2+7b-120=0

 

(b+15)(b-8) =0

b=-15 and b=8

base cannot be negative

 

so base =b =8 cm

5 0
3 years ago
Read 2 more answers
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