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LenKa [72]
3 years ago
5

What’s the answer for 2(w-3)+5=3(w-1)

Mathematics
2 answers:
kap26 [50]3 years ago
5 0
W=2
(The work is in the picture)

Triss [41]3 years ago
4 0

the first step is multiplication

the second step is collect like terms

third step is division

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Read 2 more answers
Do the points (−1,9) and (2,4) represent the vertex and a sample point, respectively, of y=−2(x+1)2+9? Explain
Reil [10]

Answer:

Vertex: (-1,9) is true

Sample Points: (2,4) is not true

Step-by-step explanation:

Given

Vertex: (-1,9)

Sample\ Points: (2,4)

Required

Determine if the vertex and sample points exist for y= -2(x+1)\²+9

Solving for the vertex:

y= -2(x+1)\²+9

Writing the given equation in the form:

y = ax^2 + bx + c

Expand the bracket

y= -2(x+1)(x+1)+9

Open Bracket

y= -2(x+1)(x+1)+9

y = -2(x^2 + 2x + 1) + 9

Open bracket

y = -2x^2 - 4x -2 + 9

y = -2x^2 - 4x +7

Solve for x using:

x = \frac{-b}{2a}

Where a = -2; b = -4;

<em>So:</em>

x = \frac{-(-4)}{2 * (-2)}

x = \frac{4}{-4}

x = -1

Substitute -1 for x in y = -2x^2 - 4x +7

y = -2(-1)^2 -4(-1) + 7

Simplify all brackets

y = -2(1) + 4 + 7

y = -2 + 4 + 7

y = 9

Hence;

<em>The vertex (x,y) is (-1,9)</em>

<em>This is true</em>

Checking sample points: (2,4)

In this case; x = 2 and y = 4

Substitute x = 2 and y = 4 in y= -2(x+1)\²+9

4 = -2(2 + 1)^2 + 9

4 = -2(3)^2 + 9

4 = -2 * 9 + 9

4 = -18 + 9

4 \neq -9

<em>Hence;</em>

<em>This sample points </em>(2,4)<em> does not exist</em>

8 0
3 years ago
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