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muminat
2 years ago
9

Please help me with this.

Mathematics
1 answer:
inessss [21]2 years ago
8 0

Answer:

d. x = 1 1/3

Step-by-step explanation:

Step 1: Add 5/6x to both sides.

  • \frac{2}{3}x + \frac{5}{6}x = 2 - \frac{5}{6}x + \frac{5}{6}x
  • \frac{3}{2}x = 2

Step 2: Multiply both sides by 2/3.

  • \frac{3}{2}x * \frac{2}{3} = 2 * \frac{2}{3}
  • x = \frac{4}{3}
  • x = 1 \frac{1}{3}

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For f(x) = x2 and g(x) = (x − 5)2, in which direction and by how many units should f(x) be shifted to obtain g(x)? (5 points) Up
IgorC [24]

Answer:

5 units to the right.

Step-by-step explanation:

The x in f(x) is replaced by x - 5 to give g(x).

The - 5 will shift f(x) 5 units to the right.

3 0
2 years ago
Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15
tatuchka [14]

Answer:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

  • a column for the values of x in each equation
  • a column for the values of y in each equation
  • a column for the independent values of each equation

since our system of equations is:

3x-5y=12\\ 4x-2y=15

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]

usually there is a line separating the columns for the values of x and y, and the independent values:

\left[\begin{array}{ccc}3&-5  &|12\\4&-2  &|15\\\end{array}\right]

this is the matrix of the system of equations

6 0
3 years ago
10 POINTS!! Made myself broke with my last two questions!
Svet_ta [14]

Answer:

D

Step-by-step explanation:

The radius r is the distance from the centre to a point on the circle.

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, - 12)

r = \sqrt{(-5-0)^2+(-12-0)^2}

  = \sqrt{(-5)^2+(-12)^2}

  = \sqrt{25+144}

  = \sqrt{169}

  = 13 → D

4 0
3 years ago
How many inches (in.) are in 1 foot (ft.)?<br>​
TiliK225 [7]

Answer: 12 inches

Step-by-step explanation: There are 12 inches in 1 foot.

5 0
3 years ago
Read 2 more answers
Which strategy best explains how to solve this problem? Claire bought a cup of coffee and two magazines each Saturday. The coffe
Nonamiya [84]
B is the best strategy. (You mentioned an option D, but it's not shown in your question!!)
7 0
3 years ago
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