Answer:
1 < x < 4 . . . . {x | x < 4 <u>and</u> x > 1}
Step-by-step explanation:
We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.
x + 1 < 5
x < 4 . . . . . . . subtract 1
__
x -4 > -3
x > 1 . . . . . . . add 4
So, the solution is ...
(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions
As a compound inequality, this is written ...
1 < x < 4
_____
<em>Comment on the problem</em>
The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.
Answer:
1,728
Step-by-step explanation:
Answer:
63 m
Step-by-step explanation:
We know the rate in 45 m / min
We need to change the time to min
1 min 24 sec
We know that 1 min = 60 sec so 24 seconds is 24/60 ths of a minute
1 min 24/60 min
1 2/5 min
Changing to decimal form
1.4 minutes
Now we multiply by the rate to get the distance
d = r *t
d = 45 m/ min * 1.4 min
d= 63 m
To find the equation of the line in slope-intercept form, y = mx + b, we can start by solving for the slope. The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.
The slope formula is:
m = (y2 - y1)/(x2 - x1)
We need to select 2 pairs of points from your given table.
Let (x1, y1) = (1, 8)
(x2, y2) = (2, 10)
Plug these values into the formula:
m = (y2 - y1)/(x2 - x1)
m = (10 — 8)/(2 — 1)
m = 2/1 or 2.
Therefore, the slope of the line is 2.
Next, we need to figure out what the y-intercept of the line is. The y-intercept is the point where the line crosses the y-axis. The y-intercept is also the value of y when x = 0.
Looking at your given table, you have an ordered pair, (0, 6) — this is the y-intercept. The y-coordinate (6) is the value of “b” in the slope-intercept form, y = mx + b.
Now that we have our slope (m) = 2, and y-intercept (b) = 6, we can write our equation as follows:
y = 2x + 6
Please mark my answers as the Brainilest if you find my explanations helpful :)
Answer:
x = 60
∘
Explanation:
As indicated by the markings, all the sides of this triangle are equal, and therefore all the angles of this triangle must be equal as well.
Let x be an angle,
so by the triangle sum theorem, we can say that:
3 x = 180
∘
x = 60
∘
https://socratic.org/questions/what-is-the-measure-of-angle-x-for-the-following-triangle#637450
