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Lelu [443]
3 years ago
6

If F(x) = 2 - xand w(x) = x - 2, what is the range of (w•p(x)?

Mathematics
1 answer:
hoa [83]3 years ago
4 0

Answer:

Th Range is [0, -∞)

Step-by-step explanation:

f(x) = 2 - x

w(x) = x - 2

We want to find the range of (f * w)(x).

First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):

(f*w)(x)=(2-x)(x-2)\\=2x-4-x^2+2x\\=-x^2+4x-4

This is a quadratic function (U shaped), or a parabola. The graph is attached.

The range is the set of y-values for which the function is defined.

We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,

0 < y < ∞

In interval notation, that would be:

[0, -∞)

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A student is trying to solve the system of two equations given below: equation p: y z = 6 equation q: 3y 4z = 1 which of these i
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<u>Option C is correct </u><u>(y + z = 6) ⋅ −3</u>

What is a linear equation in math?

  • A linear equation only has one or two variables.
  • No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
  • When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

As per the statement -

A student is trying to solve the system of two equations given below:

Equation P:   y + z = 6              ....[1]

Equation Q:  3y + 4z = 1           ....[2]

Multiply the equation [1] by -3 to both sides we have;

-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)

                   

Add equation [2] and [3] to eliminate the y-term;

z = -17

Therefore, the  possible step used in eliminating the y-term is, (y + z = 6) ⋅ −3

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

<u>The complete question is -</u>

A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of these is a possible step used in eliminating the y-term?

(y + z = 6) ⋅ 4

(3y + 4z = 1) ⋅ 4

(y + z = 6) ⋅ −3

(3y + 4z = 1) ⋅ 3

6 0
1 year ago
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