If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.
Answer:
4 batches:
cups
7 batches:
cups
Step-by-step explanation:
If he uses 2/3 cup of flour for <u>each</u> batch, then that is 2/3 four times, or 2/3 · 4.
× ![\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B1%7D)
=
= ![2\frac{2}{3}](https://tex.z-dn.net/?f=2%5Cfrac%7B2%7D%7B3%7D)
If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to
.
× ![\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1%7D)
=
= 2
= ![4\frac{2}{3}](https://tex.z-dn.net/?f=4%5Cfrac%7B2%7D%7B3%7D)
Thus,
and
are the answers.
hope this helps!
Answer Yes, because you take the answer from 100+45 and subtract 3 to get to 97 and then you add 29 to make the 47 a 74.
Step-by-step explanation:
You have no profit. You have raised no funds, and lost $14.