Estimate using a rate per 100 61% of 407
1 answer:
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Answer:
The value of the polynomial function at P(1) and P(-2) is 24 and 0 respectively.
Step-by-step explanation:
We are given with the following polynomial function below;
Now, we have to calculate the value of P(x) at x = 1 and x = -2.
For this, we will substitute the value of x in the given polynomial and find it's value.
<u>At x = 1;</u>
P(1) = 30 - 6
P(1) = 24
<u>At x = -2;</u>
P(-2) = 156 - 156
P(-2) = 0
Hence, the value of the polynomial function at P(1) and P(-2) is 24 and 0 respectively.
Answer:
The transformation is called Translation.
Step-by-step explanation:
We have different types of transformation:
Translation: A translation or slide is an isometry in which all points of a figure move the same distance and in the same direction.
Reflection: A reflection is an isometry in which the preimage and the image have opposite orientations. In other words, the image appears backwards.
Rotation: A rotation is an isometry in which a figure has been rotated or turned around a point called center of rotation.
Dilation: A dilation could be an enlargement or a reduction.
In Geometry, "Translation" simply means Moving without rotating, resizing or anything else, just moving.
To Translate a shape: Every point of the shape must move;
the same distance
in the same direction.
So, in this question XYZ translate to since every point move in the same distance and same direction.
Answer:
a. From the origin, move back 3 units and down 4 units
Step-by-step explanation:
Given:
The coordinates of a point in a 3-dimensional space is given as:
(-3, -4, 0)
The value of 'x' = -3
The value of 'y' = -4
The value of 'z' = 0
At the origin, the values of 'x', 'y', and 'z' are each equal to 0.
So, the coordinates of origin is (0, 0, 0). In order to reach the point (-3, -4, 0) from the point (0, 0, 0), we don't move along the z-axis as the 'z' value remains the same. We need to move along the 'x' and 'y' directions only.
Now, 'x' is equal to -3. Negative values of 'x' occur backwards from origin. So, we move back by 3 units. to reach the point (-3, 0).
Now, the value of 'y' is -4. Negative values of 'y' occur below the origin. So, we move down by 4 units to reach the point (-3, -4).
Therefore, the correct option is option (a)
A graph in 2 dimensional is shown in support of the answer.
