Answer:
-2
Step-by-step explanation:
The slope of a line tells us how y responds to a change in x. If the slope is 2, it means that for every time x increases by 1, will will go up by 2.
We can calculate slope from a line, or with two given points. I used points (0,4) and (3,-2). Slope is the "Rise/Run."
The Rise: (-2 - 4) = -6
The Run: (3 - 0) = 3
Slope = Rise/Run = (-6/3) = -2
Answer:
| x - 0 | ≤ 2
Step-by-step explanation:
Given,
The ideal temperature of the freezer = 0° F,
Also, it can fluctuate by 2° F,
Thus, if x represents the temperature of the freezer,
Then, there can be two cases,
Case 1 : x > 0,
⇒ x - 0 ≤ 2
Case 2 : If x < 0,
⇒ 0 - x ≤ 2,
⇒ -( x - 0 ) ≤ 2,
By combining the inequalities,
We get,
| x - 0 | ≤ 2,
Which is the required inequality.
Answer:4^2 or (-4)^2
Step-by-step explanation:
I don't really know how to explain it. I can try if you want
Like
you said: 10 beats per minute, which is 20% percent of its normal value.
So:
10 per minute is 20% of the normal rate. You will divide each side by 0.2, which
will result in 50 per min
<span> </span>
Answer:
Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.
Step-by-step explanation:
Let x represent time spent in running.
We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be 
.
We know that distance is equal to speed times time.
Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be 
.
Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be 
.
We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:
Combine like terms:
Divide both sides by 
:
Therefore, Eudora spent 0.5 hours in running.
Upon substituting in expression for time spent in flying jet-packs, we will get:
Therefore, Eudora spent 1.5 hours flying using her jet-pack.
