Arie's airplanes tracked the number of television advertisements they ran along with the corresponding airplane sales. this tabl
e displays how the number of advertisements relates to their total sales. the data can be modeled by a quadratic function.
what function best models the data?
what function best models the data?
1 answer:
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Answer:
1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.
Step-by-step explanation:
Let prove the validity of each choice:
1) To begin converting the equation to standard form, subtract 36 from both sides:
Let consider the following formula and perform the following algebraic operations:
(i) Given
(ii) Commutative Property
(iii) Modulative/Associative Property/Additive Inverse Existence
(iv) Perfect Trinomial Square
(v) Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property
(vi) Definition of Addition/Result
False, to begin converting the equation to standard form, each side must be added by 36.
2) True, step (iii) on exercise 1) indicates that both side must be added by 4.
3) The general equation for a circle centered at (h, k) is of the form:
Where is the radius of the circle.
By direct comparison, it is evident that circle is centered at (-2,3).
True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).
4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).
5) After comparing both formulas, it is evident that radius of the circle is 7 units.
False, the radius of the circle is 7 units.
6) After comparing both formulas, it is evident that radius of the circle is 7 units.
False, the radius of the circle is 7 units.
<u>Question 6</u>
1) ,
, O is the midpoint of
,
(given)
2) are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (a midpoint splits a segment into two congruent parts)
5) (LL)
<u>Question 7</u>
1) are right angles),
2) (reflexive property)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (LL)
5) (CPCTC)
<u>Question 8</u>
1) , point D bisects
(given)
2) are right angles (perpendicular lines form right angles)
3) are right triangles (a triangle with a right angle is a right triangle)
4) (definition of a bisector)
5) (reflexive property)
6) (LL)
7) (CPCTC)
Answer:
The population of California is more than the population of Wyoming.
Alternatively, the population of California is times the population of Wyoming.
Step-by-step explanation:
The first part is to take the numbers out of the scientific notation. The estimated population of California is 38,800,000, and the population of Wyoming is 584,000.
Not that we've done that, let's start with the first part of the problem.
"The population of California is __________ more than the population of Wyoming."
This is a statement of subtraction, because it's not asking how many TIMES more. So, we subtract Wyoming's population from California's population.
Putting that number into scientific notation is easy: move the decimal to the place in the number where there will only be one number in front of the decimal: 3.3216. How many number slots until you have only one number in front of the decimal? 7. So, we know that the power of 10 is going to be 7. So, the first part of the question answers to:
Now for the second part.
"Alternatively, the population of California is _________ times the population of Wyoming."
This is a problem of division. The question is asking us to divide California's population by Wyoming's population.
We need to have one number in front of the decimal point, so we move it behind the first 6, giving us 6.64. Because we did this, we need to bump the exponent from 2 to 1, leaving us with:
So, the answer to the question is:
1.
2.
Hope this helped you, and I hope you get a perfect score!! :)