Answer:
p(x)=2x-40
Step-by-step explanation:
Substitute the variables
p(x)=10x-(8x+40)
p(x)= 10x-8x-40
p(x)=2x-40
The equation that is not necessarily true is that PQ = AB.
<h3>How to illustrate the equation?</h3>
The perpendicular bisector of any line segment can be drawn by opening the compass more than half, by putting the nib of the compass at one end of a line segment, and by marking an arc on both sides of the line segment from both the ends of the segment.
The following Property that the perpendicular bisector PQ follows when it bisects the line segment AB include:
- AP=BP
- AQ=BQ
- AR=BR
- ∠ARP=∠BRP=∠ARQ=∠BRQ=90°
Therefore, PQ is Perpendicular Bisector of Line Segment AB is not true.
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Answer:
- A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
Explanation:
To find a relationship modeled by the given function it is recommendable to factor it.
The function is:
The first step to factor it is to extract common factor 4x:
The second step is to factor the quadratic trinomial.
That is made by writting it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is:
Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
- x is the desired (unknown) length
- 4x is 4 times the desired length
- x - 10 is 10 less than the desired length
- x - 8 is 8 less than the desired length
Thus, the volume of the prism is the product of the three factors:
In the number 880, the first eight is ten times that of the
second eight. This is the first way in which the 8’s are related to one
another. The second way that the two 8’s are related is that is that if the
both 8’s change their respective places, then also the number will remain the
same. Since in this case the number in the tens place and the hundreds place
are same, so interchanging them will not have any effect on the overall number.
Answer:
1. Ice melts under heat and temperatures above freezing point.
2. If I leave my ice underneath the sun, then it will melt.
3. I would test it by putting ice into a bowl and leave it outside for five minutes.
4. After five minutes, I would go outside and see what percentage of the ice has melted.
5. Ice melts underneath high temperatures and the higher the temperature, the faster the ice melts.
Step-by-step explanation:
