the points (-6,0)(-2,0)(1,0)(3,0) all exist in the graph which is only correct for the second graph to make your self even more sure
since the zeros are given and it ia a polynomial you can figure out the facrored form
which will yield
f(x)=(x+6)(x+2)(x-1)(x-3)
conducting a simple sign test
------------------------------------------'
there will be 4 critical values
-6 -2 1 3
before -6 the sign of f(x) -*-*-*-= +
after -6 and before -2 the sign of f(x) +*-*-*-=-
after -2 and before 1 the sign of f(x) +*+*-*-=+
after 1 and before 3 the sign of f(x) +*+*+*-=-
after 3 the sign of f(x) +*+*+*+=+
which only fits the upper right graph
The value of x is 14 because the sum of all angles in kite is 360 degree option first 14 is correct.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The question is in the picture please refer to the attached picture.
We know the sum of all angles in a kite is 360 degree
110 + (5x) + 110 + 70 = 360
290 + 5x = 360
5x = 70
x = 14
Thus, the value of x is 14 because the sum of all angles in kite is 360 degree option first 14 is correct.
Learn more about the linear equation here:
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<em>Answer:</em>
Complete proof is written below.
Facts and explanation about the segments shown in question :
- As BC = EF is a given statement in the question
- AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
- AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.
Below is the complete proof of the observation given in the question:
<em />
<em>STATEMENT REASON </em>
___________________________________________________
1. BC = EF 1. Given
2. AB + BC = AC 2. Betweenness
3. AC > BC 3. Def. of segment inequality
4. AC > EF 4. Def. of congruent segments
<em />
<em>Keywords: statement, length, reason, proof</em>
<em>
Learn more about proof from brainly.com/question/13005321</em>
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Answer:
The range is 0 - 1 for x
Step-by-step explanation:
Answer:
Quarters = q = 200
Dimes = d = 756
Step-by-step explanation:
Let
Dimes = d
Quarter = q
Value of each Dime = 0.10
Value of each Quarter = 0.25
d + q = 956 (1)
0.1d + 0.25q = $125.60 (2)
From (1)
d = 956 - q
Substitute d = 956 - q into (2)
0.1d + 0.25q = $125.60
0.1(956 - q) + 0.25q = $125.60
95.6 - 0.1q + 0.25q = $125.60
- 0.1q + 0.25q = 125.60 - 95.6
0.15q = 30
Divide both sides by 0.15
q = 30 / 0.15
= 200
q = 200
Substitute q = 200 into (1)
d + q = 956
d + 200 = 956
d = 956 - 200
= 756
d = 756
Therefore,
Quarters = q = 200
Dimes = d = 756
