To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).
with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
The digit 4 is in the ten thousands place. Its value is 4 ten thousands, or 40,000. The digit 7 is in the tens place.
Answer:
a.) Time = 6 hours
b.) Average Speed = 410 miles per hours
c.) Distance = 196 miles
Step-by-step explanation:
<h3><u>a.</u>)</h3>
A coach drives 360 miles at a speed of 60 mph.
So,
Time = Distance ÷ Speed
Time = 360 ÷ 60
Time = 6 hours
<h3>
<u>b.</u>)</h3>
A plan flies 1640 miles in 4 hours.
So,
Average Speed = Distance ÷ Time
Average Speed = 1640 ÷ 4
Average Speed = 410 miles per hours
<h3>
<u>c.</u>)</h3>
A bus drives 3½ hour at an average Speed of 56 mph.
So,
3½ hour = 3.5 hour
Distance = Average Speed × Time
Distance = 56 × 3.5
Distance = 196 miles
<u>-TheUnknownScientist 72</u>
