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Sergio039 [100]
3 years ago
12

What are the solution of the equation 2|×+7|-3=5​

Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

x = -3

Step-by-step explanation:

2(x + 7) - 3 = 5     (given)

2x + 14 - 3 = 5     (Distributive Property)

2x + 14 = 8           (Addition Property of Equality)

2x = -6                  (Subtraction Property of Equality)

x = -3                    (Division Property of Equality)

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Mariulka [41]
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How do you make fractions into decimals
ahrayia [7]

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you divide the nominator by the denominator

Step-by-step explanation:

For example:

10/15

so 10 divided by 15= .6666...

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A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
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Stolb23 [73]
9* (w+8)=4 is the equation
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Which statement is NOT true? A. All isosceles triangles are also equilateral triangles. B. All equilateral triangles are also is
Alecsey [184]
Hello there!

The statement that would NOT be true would be option A. All isosceles triangles are also equilateral triangles. The rest of the statements would be TRUE.


Hope this helps and have a great day! :)
5 0
3 years ago
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