Integers are any whole number(not fraction) that can be possitive or negative however she can not buy a negative amount of tickets so that is not the answer
whole numbers are any not fraction number that is positive this is a possible answer
rational numbers are any number that is terminates if it is a decimal or is a repeating decimal this does not include decimals like pi that don't end and dont repeat this cant be the answer
a real number is any number rational or irrational this also cant be the answer
the answer is B
i hope i made sense
Answer:
1) a = -⅙, b = ⅙, c = 1
2) 6 units
Step-by-step explanation:
1) f(x) = ax² + bx + c
Given the roots, we can write this as:
f(x) = a (x + 2) (x − 3)
We know that f(13) = -25, so we can plug this in to find a:
-25 = a (13 + 2) (13 − 3)
-25 = 150a
a = -⅙
Therefore, the factored form is:
f(x) = -⅙ (x + 2) (x − 3)
Distributing:
f(x) = -⅙ (x² − x − 6)
f(x) = -⅙ x² + ⅙ x + 1
Graph: desmos.com/calculator/6m6tjoodvb
2) Volume of a right prism is area of the base times the height.
V = Ah
The base is an equilateral triangle. Area of a triangle is one half the base times height.
V = ½ ab h
The height of the triangle is the same as the height of the prism.
V = ½ bh²
In an equilateral triangle, the height is equal to half the base times the square root of 3.
V = ½ b (½√3 b)²
V = ⅜ b³
Given that V = 81, solve for b.
81 = ⅜ b³
216 = b³
b = 6
Answer: The answer would be x < 10/7
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
7*x (10)>0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
7x - 10 = -1 • (7x + 10)
Equation at the end of step
1
:
STEP 2
:
2.1 Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
7x+10 < 0
2.2 Divide both sides by 7
x+(10/7) < 0
Solve Basic Inequality :
2.3 Subtract 10/7 from both sides
x < 10/7
Inequality Plot :
2.4 Inequality plot for
7.000 x - 10.000 > 0
One solution was found :
x < 10/7
The five essential hypothesizes of Geometry, additionally alluded to as Euclid's proposes are the accompanying:
1.) A straight line section can be drawn joining any two focuses.
2.) Any straight line portion can be expanded uncertainly in a straight line.
3.) Given any straight line fragment, a circle can be drawn having the portion as a span and one endpoint as the inside.
4.) All correct points are harmonious.
5.) If two lines are drawn which meet a third such that the total of the internal points on one side is under two right edges (or 180 degrees), then the two lines unavoidably should converge each other on that side if reached out sufficiently far.
