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Margarita [4]
4 years ago
12

14. Solve: 3x² + 5x – 12 = 0B. 4-3C. 8, - 18​

Mathematics
1 answer:
VARVARA [1.3K]4 years ago
7 0

Answer:

b

Step-by-step explanation:

The equation:

3

x

2

−

5

x

−

12

=

0

is in the form:

a

x

2

+

b

x

+

c

=

0

with  

a

=

3

,  

b

=

−

5

,  

c

=

−

12

The roots are given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

x

=

5

±

√

(

−

5

)

2

−

4

(

3

)

(

−

12

)

2

(

3

)

x

=

5

±

√

25

+

144

6

x

=

5

±

√

169

6

x

=

5

±

13

6

That is:

x

=

5

+

13

6

=

18

6

=

3

 

or  

 

x

=

5

−

13

6

=

−

8

6

=

−

4

3

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Mathematicians 4: Who is Who?
larisa86 [58]

Answer:

a. x = -9 or x = -2

b. -5(x - 4)

c. x = -3 or x = 5

d. x = ±7

Step-by-step explanation:

a. First person;

y = x² + 11x + 18

y = x² + 9x + 2x + 18

y = x(x + 9) + 2(x + 9)

y = (x + 9)(x + 2)

y = x = -9 or x = -2

b. Second person;

y = -5x + 20

The common factor is 5.

y = -5(x - 4)

c. Third person;

y = x² - 2x - 15

y = x² - 5x + 3x - 15

y = x(x - 5) + 3(x - 5)

y = (x + 3)(x - 5)

y = x = -3 or x = 5

d. Fourth person;

y = x² - 49

Applying the difference of squares formula;

(a² - b²) = (a - b)(a + b)

y = x² - 49 = x² - 7² = (x - 7)(x + 7)

y = (x - 7)(x + 7)

y = x = ±7

6 0
3 years ago
If a gas-filled balloon rises 40 feet in the 1st minute, 60 feet in the 2nd minute, and 80 feet in the 3rd minute, how many feet
tresset_1 [31]
The distance traveled by the balloon in every minute makes an arithmetic sequence with a first term equal to 40 ft and common difference equal to 20. The nth term of an arithmetic sequence is calculated by,
                                     an = a1 + (n - 1) x d
Substituting,
                                      an = 40 + (15 - 1) x 20 = 320
Thus, the answer is letter B. 320 feet.
7 0
3 years ago
What happens when you input -2 into the equation y = 2x
Zanzabum

Answer:

if y is -2, your answer is x = -1

if x is -2, your answer is y = -4

Step-by-step explanation:

If x is -2,

y = 2 (-2)

y = -4

<em><u>But</u></em>

If y is -2

-2 = 2x

x = -2/2

x = -1

If you are satisfied with my answer please make it the brainliest.

5 0
4 years ago
X-31=46 explain how u got it plz i need help
mrs_skeptik [129]

Answer:

x=77

Step-by-step explanation:

77-31=46

8 0
3 years ago
Read 2 more answers
Help please!!!!!!!!!!!!!!!!
ankoles [38]
All you would have to do is substitute!
Answer:

First one will be 2
Second one will be 10
Third one will be undefined

Explanation:
So for the first one you are substituting x for -3 so then the equation would look like this: -3^2+9/-3^2, this will equal to 9+9/9 which your answer would be 2 since 18/9 is 2. For the second one it will look like this -1^2+9/-1^2 which would be 1+9/1, this would equal to 10. For the last one it will look like this 0^2+9/0^2 which would just be 0+9/0 9/0 would be undefined.
5 0
3 years ago
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