Answer:
see below
Step-by-step explanation:
The odd degree (7) tells you the end behaviors are in opposite directions. The negative leading coefficient (-4) tells you the sign of y will be opposite the sign of x.
For x going toward negative infinity, y goes toward positive infinity.
For x going toward positive infinity, y goes toward negative infinity.
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
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Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
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The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
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Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
The correct answer is c y-5=4(x-7)
Answer:
Not a subspace
Step-by-step explanation:
(4,0,0) and (0,4,0) are vectors in R3 with zero or one entries being nonzero, but their sum, (4,4,0) has two nonzero entries.
<em><u>The expression that describes the number of tickets won by Lily is:</u></em>
a = 8 + 4.5c where "a" is the number of tokens won by Lily and "c" is the number of tokens won by Ben
<em><u>Solution:</u></em>
Given that Lily, Louis, and Ben went to an arcade and won tokens for prizes
Let "a" be the number of tokens won by Lily
Let "b" be the number of tokens won by Louis
Let "c" be the number of tokens won by Ben
<em><u>Given that Louis won 4.5 times as many tokens as Ben</u></em>
So we can frame a equation as:
number of tokens won by Louis = 4.5 times as many tokens as Ben
number of tokens won by Louis = 4.5 x number of tokens won by Ben

b = 4.5c
<em><u>Given that Lily won 8 more tokens than Louis</u></em>
number of tokens won by Lily = 8 + number of tokens won by Louis
a = 8 + b
Substituting the value of b = 4.5c in above expression
a = 8 + 4.5c
Thus the expression that describes how many tokens Lily won is found