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3 years ago

1. y = x + 2 y=-3x What’s is the answer?

Mathematics

1 answer:

DiKsa [7]3 years ago

3 0

Answer:

x=(-1/2) y=(3/2)

Step-by-step explanation:

y=x+2 Given

-3x=x+2 Substitute (-3x) for y

-2-3x=x Subtract 2 from both sides

-2=4x Add 3x to both sides

(-1/2)=x Divide both sides by 4.

y=x+2 Given

y=(-1/2)+2 Substitute (-1/2) for x

y=1 1/2

y=3/2

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For the function y=x^2-4x-5, perform the followingtasks:

lbvjy [14]

Answer:

a. $x^2-4x-5= \left(x-2\right)^2-9$ .

b. The axis of symmetry for ${\left(x - 2\right)^{2}} - 9$ is $x=2$ .

Step-by-step explanation:

a. The vertex form of a quadratic is given by $y=a(x-h)^2+k$ , where (h, k) is the vertex.

To convert from $y=x^2-4x-5$ form to vertex form you use the process of completing the square.

Step 1: Write $x^2-4x-5$ in the form $x^2+2ax+a^2$ . Add and subtract 4:

$x^{2} - 4 x - 5=x^{2} - 4 x + {\left(4\right)} - {4} - 5$

Step 2: Complete the square $x^2+2ax+a^2=\left(x+a\right)^2$

${\left(x^{2} - 4 x + 4\right)} - 9={\left(x - 2\right)^{2}} - 9$

b. The graph of a quadratic function is a parabola. The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

For a quadratic function in standard form, $y=a(x-h)^2+k$ , the axis of symmetry is $x=h$ .

The axis of symmetry for ${\left(x - 2\right)^{2}} - 9$ is $x=2$ .

Look at the graph shown below.

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Here is another question 9 hundreds+2000+1 0,1,2,9

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Step-by-step explanation:

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4 years ago

Identify the factors of the terms of the expression. 3). 5+6a+11b 4). 13m-2n

xeze [42]

Answer:

factors are 5, 6, a, 11, b

Step-by-step explanation:

3) 5 + 6a + 11b

Algebraic expressions: 5 + 6a + 11b 

Are combinations of numbers, variables, and at least one arithmetic.

Term are: 5, 6a, 11b

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).

Factors are: 5, 6, a, 11, b

Something which is multiplied by something else. A factor can be a variable, number, a term, or a longer expression.

Coefficient: 6, 11

The numerical factor of a multiplication expression that contains a variable.

Constant: 5 

A number that cannot change its value.

4). 13m-2n (note: it applies as above)

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3 years ago