Answer:
The y intercept is (0,13)
The equation of the line is y = -2x+13
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2x+b
Substituting the point
3 = -2(5) +b
3 = -10 +b
Add 10 to each side
13 =b
The y intercept is (0,13)
The equation of the line is y = -2x+13
The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x
Given, a number line is moving from ₋3 to ₊5 .
Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.
When we mark the point and shade the left part of it then we can start applying the inequality expressions.
And from that we can match the applicable inequalities while observing the graph.
- For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
- Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
- the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
- ₋1.5 ≥ x, here the values will satisfy the graph.
- remaining inequality expressions does not support the graph.
Therefore the only inequalities the graph represents is x ≥ ₋1.5 and ₋1.5 ≤ x
Learn more about "Linear Inequalities" here-
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Answer:
Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
Step-by-step explanation:
Since the Gotemba walking trail up Mount Fuji is about 9km long, and walkers need to return from the 18km walk by 8pm, if Toshi estimates that he can walk up the mountain at 1.5km / h on average, and down at twice that speed , these speeds taking into account meal breaks and rest times, to determine what is the latest time he can begin his walk so that he can return by 8pm the following calculation must be performed:
Climb: 1.5 km / h
Descent: 2 x 1.5 km / h = 3 km / h
Climb: 9 km / 1.5 km / h = 6 hours
Descent: 9km / 3 km / h = 3 hours
Total: 9 hours
8 PM = 20:00
20:00 - 09:00 = 11:00
Thus, Toshi must begin his walk at 11:00 AM in order that he can return by 8:00 PM.
Answer:
1 17 duhhhhhh
Step-by-step explanation:
Answer:
a_{n} = a_{1} + (n-1)d
a_n = the nᵗʰ term in the sequence
a_1 = the first term in the sequence
d = the common difference between terms
The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.
