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Veronika [31]
2 years ago
7

Round 83,461 to the nearest thousand.

Mathematics
1 answer:
ch4aika [34]2 years ago
4 0

Answer:

See below.

Step-by-step explanation:

83,461

  /\

This is the thousand place.

5 and above is rounded up, 4 and below is rounded down.

83,000 is the answer.

-hope it helps

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What is the equation of the line that passes through the point (-2,3) and is parallel to the line whose equation is y = 3/2x - 4
Kisachek [45]

Answer:

y = 3/2x + 6

Step-by-step explanation:

y = 3/2x - 4

y-intercept through point (-2, 3):

3 = 3/2(-2) + b

3 = -3 + b

b = 6

Equation of line:

y = mx + b

y = 3/2x + 6

**Parallel line share the same slope, in this case 3/2.

8 0
3 years ago
Y = 3x2 − 18x − 19.
Crank

Answer:

  A) y = 3(x -3)^2 -46

  B) (3, -46)

  C) look at the y-coordinate of the vertex

Step-by-step explanation:

A) Factor the leading coefficient from the variable terms.

  y = 3(x^2 -6x) -19

Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.

  y = 3(x^2 -6x +9) -19 -3(9)

  y = 3(x -3)^2 -46

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B) Compared to the vertex form, ...

  y = a(x -h)^2 +k

we find a=3, (h, k) = (3, -46).

The vertex is (3, -46).

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C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.

If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.

3 0
3 years ago
Find all real zeros of 4x^3-20x+16
Pani-rosa [81]

Answer:

  {1, (-1±√17)/2}

Step-by-step explanation:

There are formulas for the real and/or complex roots of a cubic, but they are so complicated that they are rarely used. Instead, various other strategies are employed. My favorite is the simplest--let a graphing calculator show you the zeros.

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Descartes observed that the sign changes in the coefficients can tell you the number of real roots. This expression has two sign changes (+-+), so has 0 or 2 positive real roots. If the odd-degree terms have their signs changed, there is only one sign change (-++), so one negative real root.

It can also be informative to add the coefficients in both cases--as is, and with the odd-degree term signs changed. Here, the sum is zero in the first case, so we know immediately that x=1 is a zero of the expression. That is sufficient to help us reduce the problem to finding the zeros of the remaining quadratic factor.

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Using synthetic division (or polynomial long division) to factor out x-1 (after removing the common factor of 4), we find the remaining quadratic factor to be x²+x-4.

The zeros of this quadratic factor can be found using the quadratic formula:

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The graph shows the zeros of the expression. It also shows the quadratic after dividing out the factor (x-1). The vertex of that quadratic can be used to find the remaining solutions exactly: -0.5 ± √4.25.

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5 0
3 years ago
Read 2 more answers
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ki77a [65]

Answer:

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0.5 + 5 = 5.5

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(2.75 also equals 2 3/4)

7 0
2 years ago
The sum of two numbers is 41. The smaller number is 11 less than the larger number. What are the numbers?
Schach [20]

Answer:

15 & 26

Step-by-step explanation:

4 0
3 years ago
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