Answer 34 is the volume of the lager box explanation
Answer:
x^3+4x^2+5x+2
Step-by-step explanation:
A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.
Answer:
x = 41 3/4
Step-by-step explanation:
(2 1/2)x -(3/4)(2x +5) = 38
(2 1/2)x -(1 1/2)x -15/4 = 38 . . . . use the distributive property
x = 38 +3 3/4 . . . . . . add 15/4
x = 41 3/4
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Another way to solve this is to "clear fractions" by multiplying the whole equation by 4:
10x -3(2x +5) = 152
4x -15 = 152 . . . . eliminate parentheses
4x = 167 . . . . . . . add 15
x = 41 3/4 . . . . . . divide by 4
A discrete function is a relation where the domain and the range take a specific discrete set of values and not the whole set of the real numbers.
In this case, it's okay to model the scenario with a line because all of the points will fall on the line. Only points corresponding to the integer domain values, however, actually represent the scenario.
Basically, a linear function that represents this situation serves as a prediction model to generalize this type of situation, but for this case, just the value inside the domain makes sense to this particular case.
