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-BARSIC- [3]
3 years ago
5

Describe the transformations necessary to get from the graph of the parent function f(x)=x? to the

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

Answer:

 translate the graph 5 units left and down 2 units

Step-by-step explanation:

To translate the function f(x) by an amount h units right and k units up, make the transformation ...

 g(x) = f(x -h) +k

Comparing this to your equation,

 g(x) = f(x +5) -2

we see that the translation is h = -5, k = -2.

The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).

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Which linear function is represented by the graph?
professor190 [17]

9514 1404 393

Answer:

 f(x) = -1/2x +1

Step-by-step explanation:

The line crosses the y-axis at y=1, so the y-intercept is b=1.

The line drops 1 unit for a run of 2 to the right, so the slope is ...

  m = rise/run = -1/2

The slope-intercept form of the equation of the line is ...

  y = mx + b

  y = -1/2x + 1

In functional form, the equation is ...

  f(x) = -1/2x +1

8 0
3 years ago
(PLEASE HELP ASAP)
UNO [17]

9514 1404 393

Answer:

  A. 3×3

  B. [0, 1, 5]

  C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.

Step-by-step explanation:

A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.

This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...

  A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)

Matrix A is 3×3.

__

B. The second row of A represents the second equation:

  0x_1+1x_2+5x_3=-1

The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.

__

C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)

6 0
2 years ago
What is the simplified form of the following expression?
kogti [31]

Answer:

\sqrt{3}


Step-by-step explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

  • \sqrt{a*b}=\sqrt{a}* \sqrt{b}
  • \sqrt{a}*\sqrt{a}=a

<em>Let's simplify this:</em>

2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3}  \\=\sqrt{3}


First answer choice is right.

5 0
3 years ago
Sam's car can travel 320 miles on 16 gallons of gas. Find the unit rate.
Snowcat [4.5K]

Answer:I believe the answer is 20.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Can 0.2 0.6 3 and 9 make 24?
saveliy_v [14]

Answer:

Yes

Step-by-step explanation:

9 x 3 - (0.6/0.2)   Simplify the parentheses

9 x 3 - 3               Multiply 9 by 3

27 - 3                   Subtract

24

5 0
3 years ago
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