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puteri [66]
1 year ago
13

Solve x^2 + x - 12 = 0

Mathematics
1 answer:
bogdanovich [222]1 year ago
6 0

Answer:

x₁ = -4

x₂ = 3

Step-by-step explanation:

x²+ x + 12 = 0

x = {-1±√((1²)-(4*1*-12))} / (2*1)

x = {-1±√(1+48)} / 2

x = {-1±√49} / 2

x = {-1±7} / 2

x₁ = {-1-7} / 2 = -8/2 = -4

x₂ = {-1+7} / 2 = 6/2 = 3

Check:

x₁

-4² + (-4) - 12 = 0

16 - 4 - 12 = 0

x₂

3² + 3 - 12 = 0

9 + 3 - 12 = 0

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igor_vitrenko [27]

Answer:

Cost=\$3.66234\approx \$3.67

Step-by-step explanation:

Height\ of\ tub=3\ feet\\\\Length\ of\ tub=6\ feet\\\\width\ of\ tub=5\ feet\\\\Volume=Length\times Width\times Height\\\\Volume=6\times 5\times 3=90\ feet^3

1\ feet^3=7.48052\ gallons\\\\90\ feet^3=90\times 7.48052=673.2468\ gallons

cost\ of\ 1000\ gallons=\$5\\\\cost\ of\ 1\ gallons=\$ \frac{5}{1000}\\\\cost\ of\ 673.2468\ gallons=\$ \frac{5}{1000}\times 673.2468=\$3.366234

5 0
2 years ago
Compound interest compounded quarterly is given every ______ months. *<br> 1 point<br> 1<br> 3<br> 6
Ipatiy [6.2K]

Answer:

3 months

a quarter is a period of three months

Step-by-step explanation:

7 0
2 years ago
Y=y = 2x -4 when x= 2
Dominik [7]
Y would equal 0. 2x2=4 and 4-4=0.
7 0
2 years ago
How do you do it?I'm lost
Leto [7]

Answer and Step-by-step explanation:

The way you complete this is by taking each points x and y and applying the translation. In this case the translation is x-7 and y+1.

Q's x and y are 1 , 1

R's x and y are 1 , 5

T's x and y are 5 , 1

S's x and y are 5 , 5

Now what you do is use the translation on all of these values.

Q's x and y turns into -6 , 2 (subtracted 7 to the 1 and added 1 to the 1)

R's x and y turns into -6 , 6

T's x and y are -2 , 2

S's x and y are -2 , 6

You can then plot the points on the graph and connect the lines to complete the reflection.

Hope this helps ! !

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4 0
3 years ago
PLEASE HELP 10 POINTS
Sidana [21]

Answer:

8.1 gallons

Step-by-step explanation:

Setup a proportion

240/9=216/x

x=8.1

5 0
3 years ago
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