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motikmotik
3 years ago
13

What is the discontinuity and zero of the function

Mathematics
1 answer:
lukranit [14]3 years ago
7 0
The discontinuity are the point wherein the function is not defined. 
The zeros are the points wherein f(x)=0.
Computing the discontinuity points:
Set x-1=0 then the discontinuity point is at x=1.
Comptine the zeroes:
Set 3x^2+x-4=0
Compute the discriminant: 1^2-4(3)(-4)=49=7^2.
Then with quadratic formula we get the solutions:
(-1-7)/6=-8/6\\(-1+7)/6=1
The two zeros are \dfrac{-8}{6},1
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What is the next term of the geometric sequence?<br> -128/27,32/9,-8/3
IrinaVladis [17]

Answer:

2

Step-by-step explanation:

a1 = -128/27

a2 = 32/9

a3 = -8/3

Therefore, a = a1 = -128/27

r = a3 ÷ a2 = -8/3 ÷ 32/9 = -3/4

So a_n=ar^{n-1}=-\frac{128}{27} (-\frac{3}{4})^{n-1}

Therefore, a4 = (-128/27) x (-3/4)^(4-1)

= (-128/27) x (-3/4)^3

= (-128/27) x (-27/64)

= 2

3 0
2 years ago
Three lines intersect to form the triangle shown below. What is the value of x in degrees?
pashok25 [27]

Answer:

x = 40°

Step-by-step explanation:

The base angles of the triangle are 71° and 69° ( vertical angles ) , then

x = 180° - (71 + 69)° = 180° - 140° = 40°

8 0
3 years ago
Simplest form of 4500:80000 and 8100:144000​
a_sh-v [17]

9514 1404 393

Answer:

  • 9/160
  • 9/160

Step-by-step explanation:

Divide each number in the ratio by their greatest common divisor.

  4500 : 80000 = (4500/500) : (80000/500) = 9 : 160

  8100 : 144000 = (8100/900) : (144000/900) = 9 : 160

3 0
3 years ago
You have a summer job that pays time and a half for overtime. that is if you work more than 40 hours per week,your hourly wage f
Nataliya [291]
Your pay is described by a piecewise function p(t) where t is hours worked.
p(t)=\left\{\begin{array}{rcl}7t&\mbox{for}&t\leq40\\10.5t-140&\mbox{for}&t>40\end{array}\right.

The domain of this function is the number of hours you can work in a week—zero to 168. The range is the set of values p(t) can take on, which we have said is p(0) to p(168). This problem, however, is asking for the range for a typical 40-hour week. That will be p(0) to p(40): the interval [0, 280].
8 0
3 years ago
If the marked price of an article is Rs.x, discount amount is
bezimeni [28]

Answer:

The marked price of an article is Rs. x, and selling price is Rs. y

Price difference = Rs. (x−y)

Now, on Rs. x, there is a discount of Rs. (x−y)

Thus, on Rs. 100, there will be a discount of Rs.  

x

(x−y)

​  

×100%.

7 0
3 years ago
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