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raketka [301]
3 years ago
8

Seven pounds of grapes cost $10.43 how much would it cost for 3 pounds

Mathematics
1 answer:
lozanna [386]3 years ago
4 0
1. Divide $10.43 by 7 to find out how much each pound of grapes costs.
$10.43/7=$1.49
2. Multiply $1.49 by 3 to find out how much 3 pounds of grapes would cost.
$1.49•3=$4.47
3. So, 3 pounds of grapes would cost $4.47

Hope this helps!
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angle 1 = 120 degree

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75 degree + 45 degree = angle 1 (sum of two opposite interior angles is equal to the exterior angle formed)

120 degree = angle 1

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2998 Panda's will be left in 4 years.

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If the factory has available 270 tires, 90 frames, and 170 pedals, which item would limit the amount of complete tricycles that
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The pedals

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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
3 years ago
The DuPont equation shows the relationships among asset management, debt management, and ratios. Management can use the DuPont e
eduard

Answer:

Return on equity (ROE) = profit margin × asset turnover × financial leverage

Step-by-step explanation:

Return on equity (ROE) = profit margin × asset turnover × financial leverage

Which can be written as:

ROE = (net income÷ sales) × (sales ÷ total assets) × (total asset ÷ average shareholder equity)

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3 years ago
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