Casey knit a square shaped dish cloth. What is the area of the dishcloth?
1 answer:
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Answer:
B, D, D, B, C
Step-by-step explanation:
1) The part of the equation that tells us the graph would open downward would be B, the negative coefficient of .
We know this because, if we reorganize the equation into the standard form y = mx + b, we get y = -(x²) + 1. This means that for any value we substitute for x, y will always be negative. The answer is B.
2) To find the zeroes of this function, we just have to see which answer makes the function, well, zero.
We have the equation y = (-16t - 2) (t - 1)
We set the equation equal to zero like this:
0 = (-16t - 2) (t - 1)
We also know that anything multiplied <em>by</em> zero will <em>equal</em> zero, so:
0 = (-16t - 2) and 0 = (t - 1)
Now we just solve for t in both equations:
0 = -16t - 2
-16t = 2
t = 2/-16 or -1/8
0 = t - 1
t = 1
So our answer will be D.
3) This time, we are given the same equation but the variable t represents time and y represents the height.
The zeroes are when y = 0, so the zeroes (which are 1 and -1/8 from the last problem) mean that the height is also at zero (which is the ground).
Furthermore, time cannot be negative, so the correct answer choice would be D.
4) We are given the same equation and story problem, but instead we are asked to find the height when the ball was thrown. In other words, we need to find the y-intercept.
The y-intercept is when t = 0, so:
y = (-16t - 2) (t - 1)
y = (-16(0) - 2) (0 - 1)
y = (-2) (-1)
y = 2
So, the correct answer is B, 2 feet.
5) This problem is a simple theoretical question. We know that the constant c will represent the vertical translation or y-intercept, so the correct answer is C.
Answer:
C(t)=5000 -10t
Step-by-step explanation:
There are many examples in the real world of relationships that are functions.
For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.
If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:
Where:
C (t): Amount of water in the tank as a function of time
: Initial amount of water in the tank at time t = 0
a: amount of water lost per hour
t: time in hours
Then the equation is:
The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.
Its domain is the set of all positive real numbers t between [0,500]
Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty
Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres
Answer:
Step-by-step explanation:
Let x be equal to the number.
We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:
To find the range of possible values, we must solve the inequality and isolate x.
Add 10 to both sides
Divide both sides by 3
I hope this helps!