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Mila [183]
2 years ago
10

Select the matrix that represents the vector.​

Mathematics
1 answer:
Liula [17]2 years ago
5 0
<h3>Answer:  Choice D</h3>

Explanation:

Start at the arrow tip. Move vertically until reaching the x axis. You'll arrive at x = 7 which is the x component of the vector.

Go back to the arrow tip. This time move horizontally until reaching the y axis, so you should arrive at y = -6

Therefore the vector is \begin{bmatrix}7\\-6\end{bmatrix} which is in a column vector format. A row vector would have the numbers listed horizontally.

Put another way, the arrow tip is at the point location of (7,-6). This leads directly to the column vector mentioned in the previous paragraph.

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Y=-2x²-8x-5 domain and range
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Answer:

Domain: All real numbers

Range: y≤3

Step-by-step explanation:

The given function is

y =  - 2 {x}^{2}  - 8x - 5

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The domain is set of all values of x, that makes this function defined.

Since polynomial functions are defined everywhere, the domain is all real numbers.

To find the range we put the function in vertex form:

y =  - 2( {x}^{2}  + 4x) - 5

y =  - 2( {x}^{2}  + 4x + 4) - 5 +  - 4 \times  - 2

y =  - 2( {x}  + 2)^{2} - 5 + 8

y =  - 2( {x}  + 2)^{2}  +  3

The maximum value is 3

The function turns downward, hence the range is:

y \leqslant 3

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Step-by-step explanation:

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Oliver wants to run at least 30 miles this week she has already run 14 miles by Tuesday how many miles does she need to run each
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