The square root of 144 is 12. So multiply 8.3333 by 12. You should get 99.9996.
Answer:
$1.00
Step-by-step explanation:
Total Budget = $35
Cake Spent = $18
Remaining Money = 35 - 18 = $17
Since, each balloon is worth $4, to find how many balloons he will get with remaining money ($17), we divide the the remaining money by price of each balloon:
17/4 = 4.25
We can't have fractional balloons, so Abit can get 4 balloons, MAXIMUM.
4 balloons cost = $4 per balloon * 4 = $16
So, from $17 if he spends $16 for balloons, he will have left:
$17 - $16 = $1.00
Answer:
Step-by-step explanation:
Use the difference of squares formula.
Answer:
y = 1/12 (x − 5)²
Step-by-step explanation:
We can solve this graphically without doing calculations.
The y component of the focus is y = 3. Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient. That narrows the possible answers to A and C.
The x component of the focus is x = 5. Since this is above the vertex, we know the x component of the vertex is also x = 5.
So the answer is A. y = 1/12 (x−5)².
But let's say this wasn't a multiple choice question and we needed to do calculations. The equation of a parabola is:
y = 1/(4p) (x − h)² + k
where (h, k) is the vertex and p is the distance from the vertex to the focus.
The vertex is halfway between the focus and the directrix. So p is half the difference of the y components:
p = (3 − (-3)) / 2
p = 3
k, the y component of the vertex, is the average:
k = (3 + (-3)) / 2
k = 0
And h, the x component of the vertex, is the same as the focus:
h = 5
So:
y = 1/(4×3) (x − 5)² + 0
y = 1/12 (x − 5)²
Answer:
#1 c. -1
#2 b. 1 is less than or equal to x which is less than or equal to three
#3 a. 37.5 is less than or equal to y which is less than or equal to 87.5
#4 b. 3
#5 b. (2, 3, 4, 5, 6)
#6 d. (45, 55, 65, 75, 85)
Step-by-step explanation:
Domain is the x value and y is the range. For #1 the answer is c because you can't go golfing for -1 hours. For #2, the answer is b because they are all the acceptable values for the domain which is represented by x and x is the time spent at the golfing bay. The answer would not be c because you could go to the bay for 2.75 hours it doesn't have to be just 1, 2, 3. For #3 the concept is similar because the range aka total cost can be all the values in between 37.5 and 87.5. For #4 a reasonable domain value which is number of people is 3 because you can't have 2.5 people and you can't have -4 people and thus all of the above isn't possible leaving three. #5 is b because you can only have those set numbers to represent people. If you chose a that would mean you could have 1.5 people which isn't possible thus only numbers 2, 3, 4, 5, and 6 are possible. For #6 The answer is d because when you plug in numbers 2, 3, 4, 5, 6 into the x value one at a time and solve the equation, those numbers equal t. Just use your basic knowledge to figure these out there isn't much math you just have to know that domain means x and range means y. y is 9/10 always by itself on one side of the equal sign. When in doubt think, can I have a half a person. Think of the real world and apply to math. Goof luck on future problems!
