Answer: Exact Form: x
=
−
45
/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
2x + 3 /12 = 2x/8
⇒ 48x/24 + 6/24 = 6x/24
⇒ (48x+ 6)/24= 6x/24
⇒ 48x+ 6 = 6x
⇒ 48x- 6x= -6
⇒ 42x= -6
⇒ x= -6/42
⇒ x= -1/7
<span>
x=-1/7~</span>
Answer:
a) Unit: College Student
Variables of measurement: Procrastination and illness habits.
b) Unit: SUV cars
Variables: Manufacturing and car damage for two car manufactures.
Step-by-step explanation:
We are given the following in the question:
In a research, a unit is a single individual or object that is measured.
a) A study finds that college students who often procrastinate tend to be sick more often than students who do not procrastinate.
Since college students are asked about procrastination, then the unit in this study is college students.
Unit: College Student
Variables of measurement: Procrastination and illness habits.
b) A study finds that sport utility vehicles (SUVs) made by one car manufacturer tend to be more heavily damaged in a crash test than SUVs made by a second car manufacturer.
Since all SUVs cars are considered, the unit in this research is SUV cars
Unit: SUV cars
Variables: Manufacturing and car damage for two car manufactures.
Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Answer:
X=3
Step-by-step explanation:
2(4x-3)-t=4+2x
multiply parentheses by 2
8x-6-8=4+2x
Calculate
8x-14=4+2x
Move terms
8x-2x=4+14
Calculate the sum after collecting like terms
6x=18
Divide both sides by 6
x=3
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