Answer:
The best way of writing this answer in an inequality pattern is 50 ≤ x ≥ 70
Step-by-step explanation:
The variable "x" is said to be greater than or equal to 50, that means that x could be 50, 51, 52, 53, 54......to infinity, all these values are true for x.
The second solution said x is greater or equal to 70. This also means that x could be 70, 71, 72, 73, ......... to infinity.
The inference that can be drawn from here is that x actually started from 50, so anything lesser than 50 is lesser than x, so 50 ≤ x. We can join the two answers together to get a range in a form like: 50 ≤ x ≥ 70
Answer:
D (0, 2)
General Formulas and Concepts:
<u>Algebra I</u>
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3/4x + 2
<u>Step 2: Break Function</u>
<em>Identify Parts</em>
Slope <em>m</em> = 3/4
y-intercept <em>b</em> = 2
Answer:
J=12
Step-by-step explanation:
(2/3)*j = 8 // - 8
(2/3)*j-8 = 0
2/3*j-8 = 0 // + 8
2/3*j = 8 // : 2/3
j = 8/2/3
j = 12
Answer:
a) about 0.7 seconds to 5.1 seconds.
b) Listed below.
Step-by-step explanation:
h - 1 = -5x^2 + 29x
h = -5x^2 + 29x + 1
a) We will find the amount of time it takes to get to 18 meters.
18 = -5x^2 + 29x + 1
-5x^2 + 29x + 1 = 18
-5x^2 + 29x - 17 = 0
We will then use the quadratic formula to find the answer.
[please ignore the A-hat; that is a bug]
= 
= 
= 
= 
and 
= 0.6616970714 and 5.138302929
So, the time period for which the baseball is higher than 18 metres ranges from about 0.7 seconds to 5.1 seconds.
b) Restrictions on the domain and range of the function are that the domain and range can never be negative, since time cannot be negative, and height cannot be negative. The height cannot exceed the vertex of the parabola, since that is the highest the ball will ever go. It cannot exceed that height since gravity will cause the ball to fall down.
Hope this helps!
Answer:
y = 1
Step-by-step explanation:
Slope is written in the form y=mx+b. Where m is the slope and b is the y-intercept.
When there isn't a slope, as in the line is flat and it isn't moving up or down, you wouldn't write anything for it. You would just write y equals the y-intercept (y = b).
Likewise, if the y-intercept is at (0,0), then you'd only write y equals the slope (y = mx).
Hopefully this makes sense :)
Btw, I also answered in the main comments earlier, so you can check that out as well.
