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ad-work [718]
3 years ago
6

True or False: If there is a vertical asymptote at x = a for the Function f(x), then f is undefined at the point x = a

Mathematics
2 answers:
Marina CMI [18]3 years ago
8 0

Answer:

False.

Step-by-step explanation:

gavmur [86]3 years ago
7 0

Answer: True

One example would be f(x) = 3/(x-2). Here the 'a' value is a = 2.

Plugging x = 2 into f(x) leads to a division by zero error. Visually the graph will have a vertical asymptote through 2 on the x axis. The vertical asymptote is like an electric fence in which the graph slowly approaches but never touches or crosses.

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Estelle drew two parallel lines PQ and R0S intersected by a transversal KL, as shown below: Which theorem could Estelle use to s
Sophie [7]
Angle KMQ and angle RNL are  on apposite sides of the transversal and between above and below (exterior to) the parallel lines, so they are alternate exterior angles.  Theorem - Alternate exterior angles formed by parallel lines and a transversal have the same measure.

8 0
2 years ago
Read 2 more answers
To make fruit punch for a party, we need 4 1⁄2 gallons of ginger ale, 1 gallon of strawberry juice, 2 3⁄4 gallons of frozen oran
lina2011 [118]

For this case we convert the mixed numbers to fractions:

4 \frac {1} {2} = \frac {2 * 4 + 1} {2} = \frac {9} {2}\\2 \frac {3} {4} = \frac {4 * 2 + 3} {4} = \frac {11} {4}

Now we add the fractions:

\frac{9} {2}+1+ \frac {11} {4} + \frac {1} {8} =

We find the least common multiple of the denominators. The l.c.m is 8, then we divide by each denominator and multiply the result by each numerator.

\frac {36 + 8 + 22 + 1} {8} =\\\frac {67} {8} =

8,375

Thus, the punch recipe implies 8.375 gallons. If we convert to a mixed number we have:

8 \frac {3} {8} gallons

Answer:

8 \frac {3} {8}gallons

4 0
3 years ago
Line segment ab has endpoints a(9, 3) and b(2, 6). find the coordinates of the point that divides the line segment directed from
Dominik [7]
When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.

x-coordinate:    (2 - 9) / 3 = -7/3
y-coordinate:    (6 - 3 ) / 3 = 1

Adding them to the coordinates of a,
           x - coordinate: (9 - 7/3) = 20/3
           y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4). 
7 0
3 years ago
Twice the difference of a number c and forty.​
dybincka [34]

Answer:

Equation ---->    2(c - 40)

c = -40

Step-by-step explanation:

2(c - 40)

= (2c) - (80)

= 2c - 80

= \frac{2c}{2} + (\frac{-80}{2})

c = -40

4 0
3 years ago
Read 2 more answers
Find two positive numbers satisfying the given requirements. the product is 192 and the sum of the first plus three times the se
Zepler [3.9K]
<h3>Given</h3>

Two positive numbers x and y such that xy = 192

<h3>Find</h3>

The values that minimize x + 3y

<h3>Solution</h3>

y = 192/x . . . . . solve for y

f(x) = x + 3y

f(x) = x + 3(192/x) . . . . . the function we want to minimize

We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.

... f'(x) = 1 - 576/x² = 0

... 576 = x² . . . . . . . . . . . . multiply by x², add 576

... √576 = x = 24 . . . . . . . take the square root

... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y

The first number is 24.

The second number is 8.

6 0
3 years ago
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