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2 years ago

9

Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that

agrees with f for x ≠ a and is continuous at a. (If an answer does not exist, enter DNE.)
(a) f(x) = x4 − 1 x − 1 , a = 1 g(x) =
(b) f(x) = x3 − x2 − 56x x − 8 , a = 8 g(x) =
(c) f(x) = sin x , a = π (Recall that h(x) means the largest integer that is less than or equal to h(x).) g(x) =

2 answers:

Ber [7]2 years ago

7 0

Answer:

im not so sure which one it is

Step-by-step explanation:

DedPeter [7]2 years ago

3 0

Answer:You can remove the discontinuity at

x = 3 by defining g(3) = –1.

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F(x)=6x^2 +10x−1

KATRIN_1 [288]

Answer: It has two distinct real zeros.

Step-by-step explanation:

The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:

$D=b^2-4ac$

In this case you have the following Quadractic function provided in the exercise:

$f(x)=6x^2 +10x-1$

Let's make it equal to 0:

$0=6x^2 +10x-1$

You can identify that:

$a=6\\\\b=10$

Knowing these values, you can substitute them into the formula and then evaluate:

$D=10^2-4(6)(-1)\\\\D=124$

Therefore, since:

$D>0$

You can determine that the it has two distinct real roots.

3 0

3 years ago

Help me plzzzzzzzzz<br> solve for x

Svet_ta [14]

Answer:

$7) \frac{x+20}{x}=\frac{46}{30}$

$30(x+20)=46x$

$30x+600=46x$

$46x-30x=600$

$16x=600$

$x=75/2$

$x=37.5$

---------------------

$8) \frac{10}{3x+1} =\frac{22}{7x-1}$

$10(7x-1)=22(3x+1)$

$70x-10=66x+22$

$70x-66x=22+10$

$4x=32$

$x=\frac{32}{4}$

$x=8$

<u>---------------------</u>

hope it helps...

have a great day!!

4 0

2 years ago

Help with my mathhh!

Allisa [31]

Answer:

Step-by-step explanation:

d

7 0

2 years ago

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2y=-x+9<br>3×-6y=-15 whats the solution to the system

liq [111]

Answer:

Step-by-step explanation:

2y = -x +9

3x - 6y = -15

The solution is the value of x and y that will make the two equations true in the same time.

3x-6y = -15; divide both sides by 3

x-2y = -5; substitute 2y for -x+9 because the first equation tell us they are equal

x-(-x+9) = -5; open parenthesis

x+x-9 = -5 ; add 9 to both sides and combine like terms

2x = -5 +9; 2x = 4; divide both sides by 2

x= 2

Substitute x for 2

2y = -x+9 ; 2y = -2 +9 ; 2y = 7; y = 7/2 = 3.5

Solution is (2, 3.5)

8 0

2 years ago

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What is an equation of the line that passes through the point (3,-3) and is perpendicular to the line 3x+2y=12 ?

Gennadij [26K]

Answer:

y=2/3x-5

Step-by-step explanation:

1. find the slope of the given line

2. find its opposite reciprocal(slope of the perpendicular line)

3. create a new linear equation using the new slope

4. substitute (3,-3) to find b

6 0

2 years ago

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