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r-ruslan [8.4K]
3 years ago
8

Find the product. (a2 + 2a + 1)(a + 1) a. A2 + 3a + 2 b. A3 + 3a2 + 3a + 1 c. A3 + 2a 2 + a + 1 d. A3 + 3a2 + a + 1

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

 (a + 1)(a² + 2a + 1)

= a(a² + 2a + 1) + 1(a² + 2a + 1)

= a³ + 2a² + a   + a² + 2a + 1

= a³ + 3a² + 3a + 1

Answer: b

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What is the linear function equation represented by the graph?<br><br><br> f(x)=______________
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The linear function equation represented by the graph is \boxed{y =  - \frac{1}{2}x + 1}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Given:

Explanation:

From the graph it has been observed that the line passes through the points \left( {0,1} \right) and \left( {2,0} \right).

The line intersect y-axis at \left( {0,1} \right).

Therefore, the y-intercept is 1.

The line the line passes through the points \left( {0,1} \right) and \left( {2,0} \right).

The slope can be obtained as follows,

\begin{aligned}m&=\frac{{0 - 1}}{{2 - 0}}\\&= \frac{{ - 1}}{2}\\\end{aligned}

The slope of the line is - \dfrac{1}{2}.

Substitute - \dfrac{1}{2} for m and 1 for c in equation y = mx + c to obtain the equation of the line.

y = - \dfrac{1}{2}x + 1

The linear function equation represented by the graph is \boxed{y =  - \frac{1}{2}x + 1}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

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