Since <em>f(x)</em> is continuous, so is <em>h(x)</em>.
Also, since <em>f</em> (3) = 4 and <em>f</em> (5) = 2, we have
<em>h</em> (3) = <em>f</em> (3) + 2•3 = 4 + 6 = 10
<em>h</em> (5) = <em>f</em> (5) + 2•5 = 2 + 10 = 12
It follows from the intermediate value theorem that there is some <em>t</em> between 3 and 5 such that <em>h(t)</em> is between 10 and 12, and namely there is some <em>t</em> for which <em>h(t)</em> = 11.
Answer:
Step-by-step explanation:
Nu stiu dar o sa te oftic ca nu ingelegi ce scriu eu aici!!!
Answer:
The answer is C
Step-by-step explanation:
Look at the graph the dot is not shaded so its definitely not the one with less than or equal to or greater than or equal to.. Its only one and the line points backwards so it's C
Answer:
t ≥0
Step-by-step explanation:
Given the information:
The initial population: 500
The graph models the population of the bacteria colony P(t) as a function of the time t, in weeks,
=> our function is: P(t) =500*
where b is the base number and it is ≥0
- What is the domain of the function?
The domain of exponential functions is all real numbers greater than zero
<=> t ≥0 (because t present for the time and time can not have negative value)
- What does the domain represent in this context?
t is the independent variable is this exponential function and the population of bacteria depends on the change of t.
Because it is the growth function so the range (the population of bacteria) increase over its domain (the time)
Hope it will find you well.
Recall that a dilation with center (0, 0) and scale factor
maps
onto
.
Now, triangle ADE is formed by

Whereas triangle ABC is formed by

In other words, the coordinates of B and C can be obtained by multiplying by 2 the coordinates of D and E.
This means that you get ABC from ADE by dilating with center (0,0) and scale factor 2.