Answer:
X=0,1
Step-by-step explanation:
Remove the radical by raising each side to the index of the radical
Answer:
x ≤ 16 and x ≥ -2
Step-by-step explanation:
3 |x-7| ≤ 27
• divide both sides by 3:
|x-7| ≤ 9
• first assume the positive case of the absolute value:
x-7 ≤ 9
• add 7 to both sides:
x ≤ 16
• Now, go back to the absolute value and assume the negative case.
-(x-7) ≤ 9
-x+7 ≤ 9
• subtract 7 from both sides:
-x ≤ 2
• divide each side by -1 and flip the inequality sign:
x ≥ -2
The deck consists of 4 jacks, 26 black cards, and 13 hearts.
There is only 1 way of drawing all 4 jacks: 
.
There are 
ways of drawing 4 black cards.
There are 
ways of drawing 4 hearts.
There are 
ways of drawing any 4 cards.
The probabilities are then
a.
b.
c.
The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
From the graph, we can see all the functions have y-intercept:
At x = 0
f(0) = 1
g(0) = -1/2
h(0) = -5
The f(x) has the greatest maximum, which is 10
Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
