The total length of the segment AC is the sum of AB and CB, which gives, CB = 9
<h3>How can the length of CB be found?</h3>The given parameters are;
Required: <em>CB</em>
Solution:
AC = <em>AB + CB</em> by segment addition property
Therefore;
AC = 17 = 32 + 3•x + 57 + 6•x = 89 + 9•x
17 = 89 + 9•x
CB = 57 + 6•x = 57 + 6 × (-8) = 9
Therefore;
Learn more about segment addition postulate here: brainly.com/question/1721582
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Given:
The cost of each carnival ticket is $5.
To find:
The equation, table of values and graph for the given problem.
Solution:
Let x be the number of tickets and y be the total money spent on tickets.
Cost of one ticket = $5
Cost of x tickets = $5x
So, total cost is
The required equation is .
At x=1,
At x=2,
At x=3,
The required table of values is
x y
1 5
2 10
3 15
So, the required table of values is table A.
From the above table, it is clear that the graph passes through the point (1,5), (2,10) and (3,15). The graph B passes through these points.
So, the required graph is graph B.
Since the required answers are , table A, graph B, therefore the correct option is B.
Answer:
Below, you can see the graph of the function:
f(x) = x + cos(k*x)
for different values of k, as follows:
red: k = 1
green: k = 2
orange: k = 0.
Now let's find the values of k such that our function does not have local maxima nor local minima.
First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).
This means that if:
f'(x0) = 0.
Then x0 is a maxima, minima or an inflection point.
Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.
Now we have:
f(x) = x + cos(k*x)
then:
f'(x) = 1 - k*sin(k*x)
This function will be zero when:
1 = k*sin(k*x)
1/k = sin(k*x)
now, remember that -1 ≤ sin(θ) ≤ 1
then if 1/k is smaller than -1, or larger than 1, we will not have zeros.
And this will happen if -1 < k < 1.
Answer:
Step-by-step explanation:
Let p represent cost of each drink.
We have been given that the medium pizza costs two times as much as one drink, so the cost of medium pizza would be .
We are also told that the large pizza costs three times as much as one drink, so the cost of la pizza would be .
We have been given that Mary wants to buy one large pizza, one medium pizza, and three drinks.
Since the cost of one drink is p, so cost of 3 three drinks would be .
The total cost of one large pizza, one medium pizza, and three drinks would be
Mary started with $30, so amount left after all of her purchases would be 30 minus total cost of all purchases.
Therefore, Mary will have dollars left after making all of her purchases.
Answer:
72
Step-by-step explanation:
Volume for a triangular prism = a · c · h
A = Height. C = Width. H = Length.
A = 3 yd. C = 8 yd. H = 6 yd.
V = 114 yd.
V = 114 yd ÷ 2 yd = 72 .