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4 years ago

Given u(x)=x+3 and v(x)=9x-4 find u+v

Mathematics

1 answer:

Ivenika [448]4 years ago

4 0

The sum function $(f+g)(x)$ is defined exactly as the sum of the two functions:

$(f+g)(x) = f(x)+g(x)$

So, you simply have to sum the expressions:

$(u+v)(x) = u(x)+v(x) = (x+3)+(9x-4) = 10x-1$

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True or false 1. All parallelograms are squares.2. All squares are parallelograms. 3. All trapezoids are scalene.4. All squares

ruslelena [56]

1-2:Yes. But not all parallelograms are squares
3-false ! are plane figures.
4-True ! Every square is a rhombus
5-False , every rhombus is not a square.
6-7 : Yes, all Squares are rectangles, but not all rectangles are squares because it needs to have all equal sides.

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3 years ago

The roots of an equation are x=-1 plus or minus I the equation is x^2+ ?

Oxana [17]

Answer:

x^2+2x+2

Step-by-step explanation:

If the roots of the equation are -1\pm i, then by the zero product rule:

$x=-1\pm i \\\\x+1\pm i=0 \\\\(x+1+i)(x+1-i)=0\\\\x^2+x-ix+x+1-i+ix+i+1=0 \\\\x^2+2x+2=0$

You can confirm this with the quadratic equation:

$x=\dfrac{-2\pm\sqrt{4-8}}{2}=\dfrac{-2\pm 4i}{2}=-1\pm i$

Hope this helps!

8 0

3 years ago

What is the theoretic probability that if you flip two coins that they will both land on heads

drek231 [11]

You have a fifty percent chance of heads or tails, so the probability of it landing on the same side twice is 25 percent.

6 0

3 years ago

For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t

inn [45]

Answer:

translate down 3
reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.

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3 years ago

Amber went on a road trip over winter vacation. She recorded how far she had traveled in the table below in relation to the numb

svlad2 [7]

Answer:

Step-by-step explanation:

it shows every 4 hours, so:

560-336=224

224:4=56 per hour

6 0

3 years ago