Answer:
x<3
Step-by-step explanation:
Move all terms containing
x
to the left side of the inequality.
Tap for more steps...
x
+
3
<
6
Move all terms not containing
x
to the right side of the inequality.
Tap for more steps...
x
<
3
The result can be shown in multiple forms.
Inequality Form:
x
<
3
Interval Notation:
(
−
∞
,
3
)
Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)
Step-by-step explanation:
x^2-8x=24 <- subtract 24 from both sides
x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a
-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify
(-(-8) +/- 4sqrt(10) )/2 <- sepereate
(-(-8) +/4sqrt(10) )/2 , (-(-8) - 4sqrt(10) )/2 <- simplify
2(2+sqrt(10)) , 2(2-sqrt(10) =x
100 = 2t + 4f
40= t + f
-----------
get t or f by itself first.
f = 40 - t : Then substitute it back into for f in the other equation
100 = 2t + 4f
100= 2t +4(40-t)
100= 2t + 160 - 4t
100 = -2t + 160
-160 -160
<u>-60 </u>= <u>-2t
</u>-2 -2
t = 30 (Then plug this into either equation to solve for f)
Therefore,
t = 30 questions
f = 10 questions
Since Angle QPS is a straight angle, it equals 180 degrees.
Angles QPR and RPS equal QPS.
Angle QPR + Angle RPS = QPS
(7x-4) + (9x-40) = 180
x=14
Answer: C. Adult women who are 30 to 70 years of age and live in the United States.
Step-by-step explanation:
The population in the study is the adult women who are 30 to 70 years of age and live in the United States. In statistics, a population is the whole or entire pool of items or event from which a statistical sample is drawn. A population may refer to an entire group of people, objects, events, church visits, food consumed or measurements. In the case above the population from which the sample was drawn is the adult women from age 30 to 70 that lived in the United States, no sample was drawn outside this population.