Answer:
x = -4
Step-by-step explanation:
f(x) = x² - 16
This is the difference of squares
which factors as
f(x) = (x - 4)(x + 4)
Therefor the negative zero is
x = -4
Answer:
There are 15 prime numbers less than 50
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Answer:
1. Negative Correlation
3. Strong Correlation
5. Linear
Step-by-step explanation:
We have been given a scatter-plot. We are asked to choose the characteristics of the given scatter-plot.
Upon looking at our given scatter-plot, we can see that as the values of x are increasing values of y are decreasing.
We know that the relationship between two variables in which one variable increases as the other decreases is known as negative correlation. Therefore, the given scatter-plot represents negative correlation and 1st option is a correct choice.
We can also see that the slope of the line connecting all data points is approximately 
, which represents a strong negative correlation, therefore, 3rd option is correct as well.
If we draw a line on our given scatter-plot, it will connect all the data points. Therefore, the given scatter-plot has a linear correlation and 5th option is correct as well.
Answer:
Step-by-step explanation:
1. the measure for HJ you can already see, start from h and draw a line to J. The measure shows 63 degrees.
2. start at F and draw a line to G first. the measure shows 65 degrees. Now continue the line from where you stopped at G, to H. There's no measure but you can see it is in a semicircle. A semicircle is 180 degrees andthe other two angles are 63 and 65.
So...
180=63+65+GH
subtract to get GH
180-63-65= 52
so the measure GH is 52 degrees. The full measure you are trying to find is FGH thought. So ad the 65 and the 52.
FGH =117 degrees.
3. The meaure is CDE. CD as you can see is a right angles, so 90 degrees. But there is no measure for DE. If you look to the angle vertical from DE which is BA. It measures 40 degrees. DE and BA are vertical so they are congruent. If DE equals 40 and CD equals 90, put them together and you get 130.
CDE= 130 degrees
4. Next measure is BCD. We already know CD is a 90 degree angle but BC is blank. You can see the measure BCD is in a semi circle. A semicircle equals 180, CD equals 90, and BA equals 40
so...
180= 90+40+BC
so subtract
180-90-40= 50
BC =50
so add BC=50 and CD=90. SO, BCD is 140 degrees.
5.The angle LMN is next. MN is 30 but LM is blank. LMN is in a semi circle.
A semicircle is 180 degrees.
so...
180=105+30+LM
subtract
180-105-30=45
LM = 45
Add LM=45 and MN=30
LMN is 75 degrees.
6.The last angle is LNP
If you look at it MP is a semi circle, so 180 degrees. And LM is 45 from our last question. so 180 +45=225
LNP=225
hope this helps
