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erma4kov [3.2K]
3 years ago
12

What is the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

The answer to your question is:    3x³ - x² - 4x - 2

Step-by-step explanation:

Data

3x⁴ + 2x³ - 5x² - 6x - 2

x + 1

Process

Synthetic division

                                 3    2    -5   - 6    -2       -1

                                      -3      1     4      2                                            

                                 3   -1     -4    -2      0

 Result        3x³ - x² - 4x - 2

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Suppose it is known that for a given differentiable function y=f(x), its tangent line (local linearization) at the point where a
AleksandrR [38]

Answer:

y(-4) = 5

y'(-4) = -7

Step-by-step explanation:

Hi!

Since the tangent line T and the curve y must coincide at x=-4

y(-4) = T(-4) = 5

On the other hand, the derivative of the curve evaluated at -4 y'(x=-4) must be the slope of the tangent line. Which inspecting the tangent line T(x) is -7

That is:

y'(-4) = -7

6 0
2 years ago
Solve using the standard algorithm <br> 1.03 +0.08
nataly862011 [7]

Answer:

1.11

Step-by-step explanation:

1.03+0.08=1.11

4 0
3 years ago
When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

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Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
3 years ago
What is the area of a circle with a diameter of 21 centimeters?
sattari [20]
Area of a circle: πr²

Data:
diameter:  21 cm
radius=diameter/2=21 cm/2=10.5 cm

area of this circle: π(10.5 cm)²=110.25π cm²  (≈346.36 cm²)

Answer: area=110.25π cm²
4 0
3 years ago
Read 2 more answers
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RSB [31]

Answer:

y=2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-1)

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y=2x-1

Please mark me as Brainliest if you're satisfied with the answer.

7 0
2 years ago
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