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3 years ago

12

Point A is located at -0.75 and point B 1/4 is located at on a number line.

1 answer:

kifflom [539]3 years ago

3 0

Answer:

The distance between Points A and B is 1.

Step-by-step explanation:

Given that Point A is located at -0.75 and Point B is located at 1/4 on a number line, to determine which expression shows how to find the distance between points A and B the following calculation must be performed:

1/4 = 0.25

-0.75 + X = 0.25

X = 0.25 - (-0.75)

X = 0.25 + 0.75

X = 1

Therefore, the distance between Points A and B is 1.

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Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)

Sindrei [870]

Answer:

1) D. $y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10$

2) E. The coefficient of $x$ is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form $p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}$ , where $n$ is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

$y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10$

Correct answer: D

2) Let $p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)$ , we proceed to expand the expression by algebraic means:

$p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)$

$p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4$

We see that coefficients for $x^{2}$ and $x$ are -16 and 0, respectively. Hence, the incorrect answer is E.

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s344n2d4d5 [400]

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