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Mekhanik [1.2K]
3 years ago
12

Identify the number that does not belong with the other three. Explain your reasoning. 26.6 repeating 6, square root 48, negativ

e 51 over 2, negative 55.1
Mathematics
2 answers:
Fiesta28 [93]3 years ago
4 0
Square root 48 because it can't be written as a fraction with integers
cestrela7 [59]3 years ago
4 0

Answer:

The numbers that we have are:

26.66666..., √48, -51/2, -55.1

Now we define rational numbers as numbers that have a finite number of digits after the decimal point, or the an infinite repeating pattern of numbers after the decimal point (like the repeating 6 in the first number). These numbers can be representated as the quotient between two integer numbers.

Irrational numbers are those that have infinite digits after the decimal point, and there is no pattern.

We can see that 26.666.., -51/2 and -55.1 are rational numbers.

In the other hand, there are not two numbers that X*X = 48 (actually, if we took the fourth prime number, 7, we have 7*7 = 49)

So √48 is an irrational number, then this is the number that does not fit with the group

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X - the number

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x = 1
7 0
3 years ago
Two more questions , 15 points.
Mumz [18]

The formula that is useful for solving both of these problems is ...

(v_2)^2-(v_1)^2=2ad\qquad\text{a=acceleration, d=distance}\\\\ \text{where $v_1$ and $v_2$ are initial and final velocities}

9. Given v₁=15, a=9.8, d=10, find v₂.

... (v₂)² = 15² + 2·9.8·10

... v₂ = √421 ≈ 20.5 . . . . m/s

10. Given d=12 m when a=-9.8 m/s² and v₂=0, find d when a=0.17·(-9.8 m/s²).

The formula tells us that d=(v₁)²/(2a), which is to say that the distance is inversely proportional to the acceleration. If acceleration is 0.17 times that on earth, distance will be 1/0.17 ≈ 5.88 times that on earth.

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7 0
3 years ago
PLEASEEE HELPPPP IM BEGGIN U
Anna71 [15]

Answer:

  a) positive real zeros: 2 or 0; negative real zeros: 2 or 0; complex zeros: 0, 2, or 4. (rule of signs)

  b) ∪-shaped, as for an even-degree polynomial with positive leading coefficient. See attached.

  c, d) See attached

Step-by-step explanation:

Descarte's rule of signs gives bounds on the number of positive and negative real roots. The numbers it gives may be reduced by multiples of 2, as complex roots will come in conjugate pairs. The total number of roots of all kinds will match the degree of the polynomial.

Synthetic division is essentially polynomial long division with some modifications:

  • the variables are omitted ("place value" is used instead)
  • the constant in the divisor is <em>negated</em> so its product with the partial quotient can be <em>added</em> to obtain the new dividend
  • the divisor binomial is assumed to have a leading coefficient of 1.

__

<h3>a) </h3>

The signs of the terms of the given polynomial are + - - - +. There are two sign changes, so 2 possible positive real roots.

When the signs of the odd-degree terms are changed, the signs become + + - + +. There are still two sign changes, so 2 possible negative real roots.

Either or both of these numbers can be reduced by 2 if the roots include a conjugate pair. That is, there may also be 0 possible positive real roots, and 0 possible negative real roots.

The number of non-real (complex) zeros may be any multiple of 2 up to the degree of the polynomial. The may be 0, 2, or 4 possible non-real zeros.

__

<h3>b)</h3>

The graph is the first attachment. It shows 4 real zeros: x = -4, -2, 1, 6.

Since the polynomial is of even degree (4) and has a positive leading coefficient (+1), we expect the general shape to be ∪-shaped. It is.

__

<h3>c)</h3>

The second attachment shows synthetic division using x = -4. (The binomial divisor is (x+4).) The remainder (lower right value in the tableau) is the value of y when x=-4. The third attachment shows synthetic division using the value x=3. (y is -210 when x=3.)

Maybe this is the table you want:

  \begin{array}{|c|c|c|}\cline{1-3}x&-4&3\\\cline{1-3}y&0&-210\\\cline{1-3}\end{array}

__

<h3>d)</h3>

The second attachment shows synthetic division by the factor (x+4).

_____

<em>Additional comment</em>

The synthetic division attachments show instructions for carrying out the synthetic division and interpreting the results. As we said above, "the entry on the left" is the opposite of the constant in the binomial divisor. It is the actual value of x you want to use to evaluate the function.

The equations shown are merely for the purpose of indicating the operations that are used. An actual synthetic division tableau is simply a 3-row table of numbers, with the bottom row being the quotient coefficients and remainder.

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How do I graph this?
a_sh-v [17]

Answer:

m/8

Step-by-step explanation:

the equation would be 8y/8 =y  and x/8= x/8. y=x/8 so you would start the line at 0 and count 8 units to the right and 1 unit up

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100,000

is the answer 
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