90% sure the answer is A.
<em>Answer:</em>
<em />
<em>Step-by-step explanation:Let us find points of intersection of line </em>
<em>3
</em>
<em>x
</em>
<em>+
</em>
<em>4
</em>
<em>y
</em>
<em>−
</em>
<em>k
</em>
<em>=
</em>
<em>0
</em>
<em> and circle </em>
<em>x
</em>
<em>2
</em>
<em>+
</em>
<em>y
</em>
<em>2
</em>
<em>=
</em>
<em>16
</em>
<em>. We can do this by putting value of </em>
<em>y
</em>
<em> from first equation i.e. </em>
<em>y
</em>
<em>=
</em>
<em>k
</em>
<em>−
</em>
<em>3
</em>
<em>x
</em>
<em>4
</em>
<em> and we get
</em>
<em>
</em>
<em>x
</em>
<em>2
</em>
<em>+
</em>
<em>(
</em>
<em>k
</em>
<em>−
</em>
<em>3
</em>
<em>x
</em>
<em>)
</em>
<em>2
</em>
<em>16
</em>
<em>=
</em>
<em>16
</em>
<em>
</em>
<em>or </em>
<em>16
</em>
<em>x
</em>
<em>2
</em>
<em>+
</em>
<em>k
</em>
<em>2
</em>
<em>+
</em>
<em>9
</em>
<em>x
</em>
<em>2
</em>
<em>−
</em>
<em>6
</em>
<em>k
</em>
<em>x
</em>
<em>=
</em>
<em>256
</em>
<em>
</em>
<em>i.e. </em>
<em>25
</em>
<em>x
</em>
<em>2
</em>
<em>−
</em>
<em>6
</em>
<em>k
</em>
<em>x
</em>
<em>+
</em>
<em>k
</em>
<em>2
</em>
<em>−
</em>
<em>256
</em>
<em>=
</em>
<em>0
</em>
<em>
</em>
<em>This would give two values of </em>
<em>x
</em>
<em> and corresponding two values of </em>
<em>y
</em>
<em> i.e. two points. But tangent cuts the circle in only at one point. This will be so when discriminant is zero i.e.
</em>
<em>
</em>
<em>(
</em>
<em>−
</em>
<em>6
</em>
<em>k
</em>
<em>)
</em>
<em>2
</em>
<em>−
</em>
<em>4
</em>
<em>⋅
</em>
<em>25
</em>
<em>⋅
</em>
<em>(
</em>
<em>k
</em>
<em>2
</em>
<em>−
</em>
<em>256
</em>
<em>)
</em>
<em>=
</em>
<em>0
</em>
<em>
</em>
<em>or </em>
<em>−
</em>
<em>64
</em>
<em>k
</em>
<em>2
</em>
<em>+
</em>
<em>25600
</em>
<em>=
</em>
<em>0
</em>
<em> or </em>
<em>k
</em>
<em>=
</em>
<em>±
</em>
<em>20
</em>
<em>
</em>
<em>graph{(x^2+y^2-16)(3x+4y-20)(3x+4y+20)=0 [-10, 10, -5, 5]}</em>
p + 2 = 5 ==> p = 3
3p + 2 = p + 3 ==> 2p = 2 ==> p = 1
3k + 5 = 2k + 2 ==> k = -3 (niemożliwe; lewa strona wagi ma większą wagę)
2w + 10 = 4w + 7 ==> 2w = 3 ==> w = 3/2
d + 9 = 3d + 2 ==> 2d = 7 ==> d = 7/2
W drugim zadanie każda litera reprezentuje wagę jednego z obiektów. Na przykład 3k + 4 reprezentuje całkowitą wagę 3 kół i 4 ciężarów, każdy o wadze 1 kg.
Trzecie zadanie to tylko połączenie dwóch pozostałych.
Answer:
A. Based on the procedure by which this figure was generated, it is likely that the population proportion is between 44.5% and 51.5%.
Step-by-step explanation:
Confidence interval:
We build a confidence interval from a sample proportion, to get an estimate of where the population proportion should likely be.
48% of voters surveyed favored the reelection of Congressman Porkbarrel, with a margin of error of 3.5%.
48 - 3.5 = 44.5%.
48 + 3.5 = 51.5%.
Following the concept of a confidence interval, the population proportion is likely to be between 44.5% and 51.5%, and thus, the correct answer is given by option A.
When I tried it, None of the answers offered are correct. The solutions is where the line/parabola intersect. Tell me if I did anything wrong. https://www.desmos.com/calculator/fpz7tjaugu
