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diamong [38]
3 years ago
7

What is the opposite of 3.78

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
The opposite of 3.78 is -3.78
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I have a geometry pre course test I need help
harkovskaia [24]

Answer:

What do you need help with, comment

6 0
3 years ago
Represent m &lt; 3 on the number line. <br><br> (I’ll mark as brainliest if correct, thx)
FromTheMoon [43]

Answer:

____________________________

0 1 2 (3) 4 5 6 7 8 9 10

7 0
3 years ago
Read 2 more answers
Apply The Remainder Theorem, Fundamental Theorem, Rational Root Theorem, Descartes Rule, and Factor Theorem to find the remainde
Over [174]

9514 1404 393

Answer:

  possible rational roots: ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12}

  actual roots: -1, (2 ±4i√2)/3

  no turning points; no local extrema

  end behavior is same-sign as x-value end-behavior

Step-by-step explanation:

The Fundamental Theorem tells us this 3rd-degree polynomial will have 3 roots.

The Rational Root Theorem tells us any rational roots will be of the form ...

  ±{factor of 12}/{factor of 3} = ±{1, 2, 3, 4, 6, 12}/{1, 3}

  = ±{1/3, 2/3, 1, 4/3, 2, 3, 4, 6, 12} . . . possible rational roots

Descartes' Rule of Signs tells us the two sign changes mean there will be 0 or 2 positive real roots. Changing signs on the odd-degree terms makes the sign-change count go to 1, so we know there is one negative real root.

The y-intercept is 12. The sum of all coefficients is 22, so f(1) > f(0) and there are no positive real roots in the interval [0, 1]. Synthetic division by x-1 shows the remainder is 22 (which we knew) and all the quotient coefficients are all positive. This means x=0 is an upper bound on the real roots.

The sum of odd-degree coefficients is 3+8=11, equal to the sum of even-degree coefficients, -1+12=11. This means that -1 is a real root. Synthetic division by x+1 shows the remainder is zero (which we knew) and the quotient coefficients alternate signs. This means x=-1 is a lower bound on real roots. The quotient of 3x^2 -4x +12 is a quadratic factor of f(x):

  f(x) = (x +1)(3x^2 -4x +12)

The complex roots of the quadratic can be found using the quadratic formula:

  x = (-(-4) ±√((-4)^2 -4(3)(12)))/(2(3)) = (4 ± √-128)/6

  x = (2 ± 4i√2)/3 . . . . complex roots

__

The graph in the third attachment (red) shows there are no turning points, hence no relative extrema. The end behavior, as for any odd-degree polynomial with a positive leading coefficient, is down to the left and up to the right.

4 0
2 years ago
Solve the system of inequalities<br> 1-12y&lt;:3y+1; 2-6y&gt;4+4y
ICE Princess25 [194]

For 1 - 12y < 3y+1;        y > 15

For 2 - 6y  >  4  +  4y;   y  <  -0.2

The given inequalities are:

1  -  12y < 3y  +  1

2 - 6y  >  4  +  4y

For 1  -  12y < 3y  +  1:

1  -  12y < 3y  +  1

Collect like terms

-12y  -  3y  <  1  -  1

-15y    <   0

Multiply both sides by -1

-1(-15y)   >  0(-y)

15y    >   0

Divide both sides by 15

y   >  0/15

y   >   15

For 2 - 6y  >  4  +  4y

Collect like terms

-6y  - 4y  >  4  -  2

-10y   >   2

Multiply both sides by -1

-1(-10y)   <  2(-1)

10y   <  -2

y  <  -2/10

y  <  -0.2

Learn more here: brainly.com/question/11316045

8 0
3 years ago
2, 7, 7, 2, 2, 4<br> Mean<br> Median
maxonik [38]

Answer:

Mean= 4

Median= 3

Step-by-step explanation:

Mean

add all the numbers together (24)

and divide them by the number of numbers (6)

gives you 4

Median

put them in order from least to greatest

2,2,2,4,7,7

2,2  2,4   7,7

it leaves you between 2 and 4

which the middle is 3

so there

4 0
2 years ago
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