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3 years ago

Explain how an estimate b elps you to place the decimal point when multiplying 3.9×5.3

Mathematics

1 answer:

morpeh [17]3 years ago

4 0

The estimate, 4 × 5 = 20, helps me know that the decimal point should be placed so that the answer is close to 20.

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Lerok [7]

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3 years ago

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Classify the system of equations

Lelechka [254]

Answer: Inconsistent.

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

Solve for y from each equation:

Equation 1:

$-\frac{1}{2} x = -6 - y\\\\y-\frac{1}{2} x = -6\\\\y=\frac{1}{2} x-6$

Equation 2:

$3+y= \frac{1}{2} x + 4\\\\y= \frac{1}{2} x + 4-3\\\\y= \frac{1}{2} x+1$

A system of equations can be classified by its number of solutions.

You can observe that the slopes of both equations are the same but the y-intercepts are different, then these lines are parallel, which means that they do not intersect.

By definition, when to lines are parallel there is NO SOLUTION and the system is classified as "Inconsistent".

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3 years ago

By remainder theorem, find the remainder of p(x) when it is divided by g(x), where p(x)= x^3-2x^2-4x-1, g(x)= x+1

Anuta_ua [19.1K]

By the remainder theorem the remainder when dividing p(x) by x-a is p(a).

Dividing by x+1 means we want p(-1).

p(-1) = (-1)³ - 2(-1)² -4(-1) - 1 = -1 - 2 + 4 - 1 = 0

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They go in evenly so x+1 is a factor of p(x).

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VARVARA [1.3K]

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4 years ago

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HURRY !!! PLEASE HELP!!

sesenic [268]

Answer:

2. it stays the same even if the angles in the triangle change

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7. it combines the three interior angles of the triangle to form a straight line

a. same answers as previous

8. it is a straight line with a measure of 180º

a. refer to above

hope this helps :)

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3 years ago

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