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navik [9.2K]
2 years ago
10

Solve the equation x^2 – 4x – 31=-2x + 25 to the nearest tenth.

Mathematics
2 answers:
Montano1993 [528]2 years ago
8 0

Answer:

  x = -6.5, x = 8.5

Step-by-step explanation:

The given equation ...

  x^2 -4x -31 = -2x +25

can be rewritten to a form that facilitates completing the square:

  x^2 -2x = 56 . . . . . add 2x+31

  x^2 -2x +1 = 57 . . . add 1 to complete the square

  (x -1)^2 = 57 . . . . . write the left side as a square

  x -1 = ±√57 . . . . . take the square root

  x = 1 ±√57 ≈ {-6.5, 8.5} . . . . . add 1, evaluate

Solutions are near x = -6.5 and x = 8.5.

tankabanditka [31]2 years ago
6 0

Answer:

x=1+sqr57,1-sqr57

Step-by-step explanation:

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geniusboy [140]

Answer:

I believe the answer you are looking for is C-√57

Mark brainliest :)

8 0
2 years ago
Read 2 more answers
I have already tryed but how in the world do i solve 2
trapecia [35]
Alright, let's factor this to get the answer.
3k^2-10k+7
To find the factors, we want to think "What will add up to -10, and multiply to (+)7?"
Because the leading coefficient is 3, we know that we can take one factor of 7 and multiply it by 3.
Thus, this factors to
(3k-7)(k-1)
(if you FOIL it it should come out to be the original equation)

From this, set both of those [(3k-7) and (k-1)] equal to zero and solve
3k-7=0
3k=7
/3
k=7/3
or
k=1
6 0
3 years ago
What does quantitative data mean?
Serhud [2]
Quantitative data<span> is information about quantities; this is the only way I know how to explain,information that can be measured and written down with numbers is known as quantitative data! Heres an example,youre height!
: D</span>
4 0
3 years ago
Please help pls pls help pls belp
Delvig [45]

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

8 0
2 years ago
Can someone please answer this question
aniked [119]
Option "D" would be your answer.

- KJ, JL, LK
7 0
3 years ago
Read 2 more answers
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