Question:
Which statement is true about the discontinuities of the function 
A)There are holes at x = 7 and .
B)There are asymptotes at x = 7 and .
C)There are asymptotes at x = –7 and .
D)There are holes at (–7, 0) and .
Answer:
B)There are asymptotes at x = 7 and 
Step-by-step explanation:
Given:
Required:
Find the true statement
We'll first factorize the denominator.
Make x subject of the formula in (3x+4) and (x-7):
3x + 4 =
3x = -4
Divide both sides by 3:
x - 7
x = 7
Now check for the limit when and (x = 7)
lim f(x) when = ±∞
lim f(x) when (x=7) = ±∞
Sinve they both make the denominator tend to zero, they are asymptotes
Therefore, there are asymptotes at and x=7
Option B is correct
Answer:
Step-by-step explanation:
center of the hyperbola is (0,0) = (h, k)
c = the distance form the center to either focal point = 100
The differences from the receiver to the transmitters = 2a
2a = 180 miles
a = 180/2=90 miles
The standard form is
Answer:
Step-by-step explanation:
Total number of boxes of cookies that Kendal bought to bring to the party is x.
Each box contains 12 cookies. This means that total number of cookies in x boxes would be
12 × x = 12x
She decides to keep two boxes for herself. This means that the total number of cookies that she kept for herself would be
12 × 2 = 24 cookies
She brings 60 cookies to the party.
The equation that can be used to find the number of boxes, x, Kendal bought would be
12x = 24 + 60
12x = 84
x = 84/12 = 7 boxes
X - the number of sandwiches ordered
y - the number of soups ordered
There were 18 people, and each person ordered either one soup or one sandwich.
The sandwiches cost $7.75 each, the soups cost $4.50 each. The total cost was $113.50.
Set up a system of equations:
10 sandwiches were ordered.
The answer is D.
Hello IdontKnowHowToMath,
first, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.
Solving our equation:
A = 6000(1 + (0.03 × 4)) = 6720
A = $6,720.00
The
total amount accrued, principal plus interest, from simple interest on a
principal of $6,000.00 at a rate of 3% per year for 4 years is
$6,720.00.
