Answer:
y=-1/3x+7
Step-by-step explanation:
y=mx+c
m=-1/3, c=7
y=-1/3x+7
Answer:
The amount of time that Sarah sleeps is 6<x<8
Step-by-step explanation:
Mathematical inequality is that proposition that relates two algebraic expressions whose values are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.
A compound inequality (or combined inequality) is two or more inequalities joined with or and and.
When two inequalities are joined with and, they are often written as a double inequality.
You know that teenagers should sleep between 8 and 10 hours per night.. Being x the number of hours slept per night, this can be represented by the following double inequality:
8<x<10
If Sarah normally sleeps 2 hours less per night, this indicates that she sleeps between (8-2) and (10-2) hours per night, that is, between 6 and 8 hours. Represented by a double inequality, Sarah normally sleeps:
6<x<8
<u><em>The amount of time that Sarah sleeps is 6<x<8</em></u>
The answer is C) Fam...............
Answer: 
Step-by-step explanation:
Since we have a product here, either term can be zero. We can individually set each term equal to zero:
Beginning with the first term. It is saying "tangent of what gives zero". Well, tangent of zero gives zero. The value pi also gives zero:
We can generalize this by saying 'x' is equal to pi multiplied by an integer 'n', where 'n' is 0, 1, 2, 3...
Moving on to the second term, lets subtract that 1 to the other side to get:
Tangent of what gives -1? That would be 3pi/4. Tangent is the ratio of sine and cosine. So, you can essentially think of tangent as the slope of the line on a unit circle. Refer to the figure below. Another location along the unit circle where we get -1 is at 7pi/4, which is just 3pi/4 shifted by 180 degrees. Therefore, we can generalize this solution by adding 'npi' to 3pi/4 to get:
where 'n' is 0, 1, 2, 3...
Answer:
252 ft
Step-by-step explanation:
h(t) = -16t^2 +64t + 192
We want to find h when t= 2.5
h(2.5) = -16 (2.5)^2 +64(2.5) +192
=-16(6.25) +160+192
=-100+160+192
=252
