if x =7 then plug in 7 for x
4(7) - 2((7)+a) = 8
28 - 14 -2a = 8
14 - 2a = 8
-2a = -6
a = 3
Ayla is correct, it has a degree of 8.
Because the degree is the highest exponent. In this case the highest exponent is 8 therefore the degree is 8.
You do not add the exponents because that’s not how it works :) hope this helps!
Answer:
y = x-4
Step-by-step explanation:
y = x +4
This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept
Parallel lines have the same slope
The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5
y = mx+b
y = 1x-4
y = x-4
Answer:
The area of the triangle is 
Step-by-step explanation:
Given
Triangle VWU
Required
Determine the Area of the Triangle
First, we'll solve for the third angle
Angles in a triangle when added equals 180; So
Next is to determine the length of VW using Sine Law which goes thus
(Because 24 degrees is the angle opposite side VW)
Multiply both sides by Sin24
(Approximated)
<em>At this stage, we have two known sides and two known angles;</em>
<em>The Area can be calculated as the 1/2 * the products of two sides * Sin of the angle between the two sides</em>
Considering VW and VU
VW = 23.5 (Calculated);
VU = 34 (Given)
The angle between these two sides is 120 (Calculated);
Hence;
<em>Hence, the area of the triangle is </em>
Answer:
Step-by-step explanation:
a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.
b) For 95% confidence level, z* = 1.96.
\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).
We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.
c)
\\np=1578(0.61)=962.58
\\n(1-p)=1578(1-0.61)=615.42
Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.
d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.
