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ra1l [238]
2 years ago
6

Find the remainder when f(x)=−2x3+x2−4x+1 is divided by x+3.

Mathematics
1 answer:
harina [27]2 years ago
4 0

The remainder when f(x)=−2x3+x2−4x+1 is divided by x+3. is 76

<h3>How to determine the remainder?</h3>

The function is given as:

f(x)=−2x3+x2−4x+1 is divided by x+3.

Set the divisor to 0

x + 3 = 0

Solve for x

x = -3

Calculate f(-3)

f(-3)=−2(-3)^3+(-3)^2 − 4(-3) + 1

Evaluate the expression

f(-3)= 76

Hence, the remainder when f(x)=−2x3+x2−4x+1 is divided by x+3. is 76

Read more about remainder theorem at:

brainly.com/question/13328536

#SPJ1

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Answer:

Formula:

a+b+c=180°

If you want to find one them simply make an equation:

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Example:

a=60° b=30° c=?

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c=90°

Good luck!

Intelligent Muslim,

From Uzbekistan.

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3 years ago
Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR= 5 m and diagonal QS
svet-max [94.6K]

Answer:

Given the statement: Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P.

Properties of Kite:

  • The diagonals are perpendicular
  • Two disjoint pairs of consecutive sides are congruent by definition of kite
  • One diagonal  is the perpendicular bisector to the other diagonal.

It is given that: Side QR = 5m and diagonal QS = 6m.

Then, by properties of kite:

QP = \frac{1}{2}QS

Substitute the value of QS we get QP;

QP = \frac{1}{2}(6) = 3 m

Now, in right angle \triangle RPQ

Using Pythagoras theorem:

QR^2= RP^2 +QP^2

Substitute the given values we get;

(5)^2= RP^2 +(3)^2

or

25= RP^2 +9

Subtract 9 from both sides we get;

16= RP^2

Simplify:

RP = \sqrt{16} = 4 m

Therefore, the length of segment RP is, 4m


5 0
3 years ago
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Assume that the U.S. PPF measures oil and gas production on the ​x-axis and production of other goods and services on the ​y-axi
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Step-by-step explanation:

Fracking is a method of improving production capabilities on oil and gas production. Although, it usually leads to environmental pollution later, it does bring in higher yields of oil and gas.

If the oil and gas production on the x-axis increases without a simultaneous, almost equal increase in production of other goods and services (on the y-axis), the data points for the x-axis shift more to the right and the PPF rotates more anti-clockwisely outward, thereby increasing the intercept on the now improved x-axis and not too much change on the intercept of the y-axis.

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What polynomial expression will make this equation true?<br> (3x +2) - ? = (6x+7)
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