Answer:
y=4x+7.75; continuous
Step-by-step explanation:
Let’s first establish the equation. Julie requires one segment of yarn measuring 7.75 inches: that's already known.
y = 7.75
Now, for the four pieces of yarn, each will be of equal length x. If she wants them to measure 1 inch, she'd need 4 inches of yarn. Therefore, the calculation would be:
y = 7.75 + 4x
Now, is this graph discrete or continuous? Continuous indicates there's a smooth line without gaps, while discrete has interruptions or spaces. In this scenario, x is continuous, as Julie can cut the yarn to any size for the four pieces. She is not limited to whole numbers; each piece could be, for instance, 2.5 inches or 3.1415 inches.
Answer: y²z⁴ / x¹²
Explanation:
1) The expression to simplify:
2) Rule: power of a power:
3) Rule: product of powers with identical bases
4) Add up the exponents
5) Transfer the negative exponent to the denominator:
The exponent attached to x is 12, for y it is 2, and for z it is 4.
In a pictorial graph, icons are utilized to depict the data presented. For instance, if a survey was conducted regarding food preferences at a barbecue, we might incorporate images of a hamburger, a hot dog, and a chicken leg. However, we cannot deduce the quantities involved merely by juxtaposing the icons.
(0,1)(2,7)
Calculating the slope (m) gives: (7-1) / (2-0) = 6/2 = 3
The equation is represented as y = mx + b
where the slope (m) equals 3
Utilizing either of your coordinates... (0,1).... this implies x = 0 and y = 1
Substituting to solve for b, the y-intercept
1 = 3(0) + b
which simplifies to 1 = b
Thus, the equation you seek is: y = 3x + 1....or 3x - y = -1
Answer:
60
Step-by-step explanation:
The function provided is:
The average rate of change of h(t) as time goes from t=a to t=b is expressed as:
This function can be reformulated as: 
The rocket's peak height is 231, which occurs at t=3.75 seconds.
The initial launch happens at: t=0
and 
The average rate of change from launch to max height is
