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mojhsa [17]
3 years ago
10

Solve. 3x2 + 4x = –5 using quadratic equation ...?

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
3x^2 + 4x - 5 = 0 
x = [-b ±√(b^2 - 4ac)]/2a 

a = 3 
b = 4 
c = -5 

x = [-4 ±√(16 + 60)]/6 
x = [-4 ±√76]/6 
x = [-4 ±√(2^2 * 19)]/6 
x = [-4 ±2√19]/6 
x = [-2 ±√19]/3 

x = [-2 + √19]/3 
x = [-2 + 4.35]/3 
x = 2.35/3 
x = 0.78 (rounded to the nearest hundredth) 

x = [-2 - ±√19]/3 
x = [-2 - 4.35]/3 
x = -6.35/3 
x = -2.12 (rounded to the nearest hundredth) 

<span>∴ x = -2.12 , 0.78 (rounded to the nearest hundredth)</span>
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Number of times the individual changed jobs in the last 5 years is what kind of variable? A. This variable is a continuous numer
FromTheMoon [43]

Answer: D. This variable is a discrete numerical variable that is ratio-scaled.

Step-by-step explanation:

A Discrete variables are variables which are countable in a finite amount of time. For example, you can count the amount of money in your bank wallet, but same can’t be said for the money you have deposited in eveyones bank account as this is infinite.

So the number of times an individual changes job in a five years period is a perfect example of  a discrete numerical variable that is ratio scaled because it can be counted.

8 0
3 years ago
Pls help me...how do u factor that ?
Leya [2.2K]

Answer:

(2x - 1)(2x + 1)(x - 7)

Step-by-step explanation:

We use grouping to factor.

Step 1: Group 1st 2 terms together and factor

4x³ - 28x²

4x²(x - 7)

Step 2: Group last 2 terms together and factor

-x + 7

-1(x - 7)

Step 3: Combine

(4x² - 1)(x - 7)

Step 4: Factor out quadratic

(2x - 1)(2x + 1)(x - 7)

4 0
3 years ago
PLEASE ANSWER ASAP!!
KATRIN_1 [288]

Answer:

See below.

Step-by-step explanation:

The corners of the square are:

(-7, 6) which becomes (-6, 7)

(-2, 6) which becomes (-6, 2)

(-7, 1) which becomes (-1, 7)

(-2, 1) which becomes (-1, 2)

From the top left corner of the square, ABCD rotates to ACDB (clockwise), so Darla is correct.

The new square is in the same quadrant as the original, so quadrant 2.

6 0
3 years ago
Solve the system of equations using substitution. Write the solution as an ordered pair.
IrinaK [193]

Answer:

  (-3, 3)

Step-by-step explanation:

Substitute for y:

  x+6 = -2x -3

  3x = -9 . . . . . . . add 2x -6 to both sides

  x = -3 . . . . . . . . divide by 3

  y = (-3) +6 = 3 . . substitute for x in the first equation

The solution is ...

  (x, y) = (-3, 3)

4 0
3 years ago
Show that 2 1/3 × 3 3/4 = 8 3/4
alexgriva [62]

Answer:

Here you go :)

Step-by-step explanation:

(2 1/3)(3 3/4)

= 7/3(3 3/4)

= 7/3(15/4)

= 35/4

= 8 3/4

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

3 0
2 years ago
Read 2 more answers
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