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:
One
Step-by-step explanation:
x+4y = 6
if why is 2x-3 plug it in
x+4(2x-3) = 6
simplify it and you get
x=2
Let us use x as the cost before Chet would apply a $25 gift certificate. Based on the problem, we can see that the original cost of the product cannot be more than 75 which means that it can be equal to 75 or less than 75. We can actually express the inequality as x< or = 75 since we are looking for the cost before Chet applied the $25 gift certificate. This means that we do not need to add in the 25 yet since the question asks for the cost before the application of the discount. - Credits, <span>Taskmasters and Hegans</span>
Given data
1. The mean
2. The median
3. The sample standard deviation
![\begin{gathered} SD\text{ =}\sqrt[]{\frac{\sum f|x-\bar{x}|}{\sum f}} \\ \bar{x}=7.6515 \\ SD=\sqrt[]{4.8028} \\ SD=2.1915 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20SD%5Ctext%7B%20%3D%7D%5Csqrt%5B%5D%7B%5Cfrac%7B%5Csum%20f%7Cx-%5Cbar%7Bx%7D%7C%7D%7B%5Csum%20f%7D%7D%20%5C%5C%20%5Cbar%7Bx%7D%3D7.6515%20%5C%5C%20SD%3D%5Csqrt%5B%5D%7B4.8028%7D%20%5C%5C%20SD%3D2.1915%20%5Cend%7Bgathered%7D)
Answer:
54 pounds
Step-by-step explanation:
To find out how much flour is needed to make 9 cakes, we first need to find out how much much flour is needed to make 1 cake. For that, we need to divide 6 by 36. That will give you 6. Now that we know how much flour is needed to make 1 cake, we will just have to multiply 6 by 9 to find out how much flour is needed to make 9 cakes. That will give you 54 pounds, which is your final answer.
