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rodikova [14]
3 years ago
11

Which is a prime number? A. 39 B. 49 C. 81 D. 89

Mathematics
2 answers:
Alexus [3.1K]3 years ago
5 0
D: 89 is the prime number.
nataly862011 [7]3 years ago
5 0
The prime numbers include: <span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107 etc. 

The correct answer is D. 89</span>
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Which graph represents the function f (x) = StartFraction 2 Over x minus 1 EndFraction + 4?
Pepsi [2]

Answer:

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4

Step-by-step explanation:

The given function is presented as follows;

f(x) = \dfrac{2}{x - 1} + 4

From the given function, we have;

When x = 1, the denominator of the fraction, \dfrac{2}{x - 1}, which is (x - 1) = 0, and the function becomes, \dfrac{2}{1 - 1} + 4 = \dfrac{2}{0} + 4 = \infty + 4 = \infty therefore, the function in undefined at x = 1, and the line x = 1 is a vertical asymptote

Also we have that in the given function, as <em>x</em> increases, the fraction \dfrac{2}{x - 1} tends to 0, therefore as x increases, we have;

\lim_  {x \to \infty}  \dfrac{2}{(x - 1)} \to 0, and \  \dfrac{2}{(x - 1)}  + 4 \to 4

Therefore, as x increases, f(x) → 4, and 4 is a horizontal asymptote of the function, forming a curve that opens up and to the right in quadrant 1

When -∞ < x < 1, we also have that as <em>x</em> becomes more negative, f(x) → 4. When x = 0, \dfrac{2}{0 - 1} + 4 = 2. When <em>x</em> approaches 1 from the left, f(x) tends to -∞, forming a curve that opens down and to the left

Therefore, the correct option is on a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 4.

5 0
2 years ago
A swimming pool is 22 feet long and 18 feet wide. How many feet of fencing are needed to enclose the pool
alexira [117]

Answer:

80 feet

Step-by-step explanation:

length of pool = 22    ,  width of pool = 18

feet required for fencing the pool = 2 (l +b)

= 2 ( 22+18)

=2*40

=80feet

8 0
2 years ago
Read 2 more answers
Find the value of x for following problems
leva [86]

Answer:

find the x in my bag ;D

5 0
2 years ago
Please help asap!! I will give brainiest!
scoundrel [369]
A=π(10t)2=100πt2


B.

A=100×3.14×32=2826



6 0
3 years ago
Read 2 more answers
(4+ √5,3-√3)(3+√3,3+√3)<br>​
krek1111 [17]

29.9280889136

thats the answer i got

3 0
2 years ago
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