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xz_007 [3.2K]
2 years ago
14

Question 13 (4 points) (05.03) Which of the following statements best describes the graph of -5x + 2y = 1? (4 points)

Mathematics
1 answer:
alexandr1967 [171]2 years ago
4 0

Answer:

  C) straight line through (1, 3) ... (-3, -7)

Step-by-step explanation:

The linear equation will describe a straight line. The slope and general location of the line on a graph can be estimated from its x- and y-intercepts.

__

<h3>intercepts</h3>

The x-intercept is the value of x that satisfies the equation when y=0.

  -5x +2·0 = 1

  x = -1/5 . . . . . . divide by the coefficient of x

The y-intercept is the value of y that satisfies the equation when x=0.

  -5·0 +2y = 1

  y = 1/2 . . . . . . divide by the coefficient of y

<h3>nature of the graph</h3>

The intercept values mean the line crosses the positive y-axis and the negative x-axis. It will have a positive slope. Points on the line that have integer x- and y-coordinates will have coordinates that have the same sign.

Of the offered answer choices, A and B are eliminated because the graph is <em>not a curve</em>. D is eliminated because the suggested points have coordinates with <em>opposite signs</em>. The correct choice is C:

  It is a straight line joining the points (1, 3), (3, 8), and (-3, -7)

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The limit of the given function if \lim_{x \to 0} f(x)=4 is 64

<h3>Limit of a function</h3>

Given the following limit of a function expressed as;

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We are to determine the value of the function

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This can also be expressed as

\frac{1}{4}  \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64

Hence the limit of the given function if \lim_{x \to 0} f(x)=4 is 64

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Help! question in photo.
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B

Step-by-step explanation:

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2 years ago
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leonid [27]

Answer:

d. 7 × (10 + 9) = (7 × 10) + (7 × 9)

Step-by-step explanation:

The format of writing numbers in distributive property is a(b+c) = (a×b)+(a×c)

We can see that in choice d. 7 × (10 + 9) = (7 × 10) + (7 × 9) it is in correct format of writing numbers in distributive property. Thus, choice d. is correct.

Verification:-

a(b+c) = (a×b)+(a×c)

7 × (10 + 9) = (7 × 10) + (7 × 9)

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