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:
Hey there!
y=3/4x shows that the y-value is always 3/4 of the x-value.
Thus, if x is 4, y is 3. It always fits the 4:3 ratio.
The ordered pairs that satisfy this equation are: 28:21 and 16:12
Let me know if this helps :)
I'm not sure what is being asked here, but a rate that describes how much smaller or larger the scale drawing is than the real object would be a ratio such as 1in:25ft
Answer:
a. Tim has completed a greater amount of work.
b. Together they have completed 
part of two projects.
Step-by-step explanation:
Let us assume that the project on which Jaime and Tim are working has x amount of space.
Now, given that Jaime has 5 over 11 space of a project completed while Tim has finished 7 over 13 space of the same project.
Therefore, Jaime has completed 
amount of space and Tim has finished 
amount of space.
a. Now, (7x) \times 11 > (5x) \times 13
⇒ 
Therefore, Tim has completed the greater amount of work. (Answer)
b. Together they have completed 
amount of space out of 2x amount of space. (Answer)
