Answer:
f(1.5) = _95_
The value indicates that after_1.5 hours_
hours of driving, Aubrey and Charlie will be_95_
miles from home.
Step-by-step explanation:
Let x represent number of bracelets and y represent number of necklaces.
We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be 
. We can represent this information in an equation as:
We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be 
grams.
We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be 
grams.
Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:
Therefore, our required system of equations would be:
Answer:
This really depends.
Step-by-step explanation:
If a walnut costs 10 cents, he can buy 2 walnuts.
If a walnut costs 5 cents, he can buy 4.
If a walnut costs 20 cents, he can buy 3.
You want to round 905,154 to the nearest ten-thousands place. The ten-thousands place in your number is shown by the bold underlined digit here:
9<em><u>0</u></em>5,154
To round 905,154 to the nearest ten-thousands place...
The digit in the ten-thousands place in your number is the 0. To begin the rounding, look at the digit one place to the right of the 0, or the 5, which is in the thousands place.
Since the 5 is greater than or equal to 5, we'll round our number up by
Adding 1 to the 0 in the ten-thousands place, making it a 1.
and by changing all digits to the right of this new 1 into zeros.
The result is: 910,000.
So, 905,154 rounded to the ten-thousands place is 910,000.
<span><span>(<span>sinx</span>−<span>tanx</span>)</span><span>(<span>cosx</span>−<span>cotx</span>)</span></span>
<span>=<span>(<span>sinx</span>−<span><span>sinx</span><span>cosx</span></span>)</span><span>(<span>cosx</span>−<span><span>cosx</span><span>sinx</span></span>)</span></span>
<span>=<span>sinx</span><span>(1−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(1−<span>1<span>sinx</span></span>)</span></span>
<span>=<span>sinx</span><span>(<span><span>cosx</span><span>cosx</span></span>−<span>1<span>cosx</span></span>)</span><span>cosx</span><span>(<span><span>sinx</span><span>sinx</span></span>−<span>1<span>sinx</span></span>)</span></span>
<span>=<span><span>sinx</span><span>cosx</span></span><span>(<span>cosx</span>−1)</span><span><span>cosx</span><span>sinx</span></span><span>(<span>sinx</span>−1)</span></span>
<span>=<span>(<span>cosx</span>−1)</span><span>(<span>sinx</span>−1<span>)</span></span></span>
