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3 years ago

9

How would you "remove the discontinuity" of f ? In other words, how would you define

1 answer:

balu736 [363]3 years ago

5 0

There is a hole at x=4 because the top factors to (x-4)(x+3)
in the end we get

f(x)=(x-4)(x+3)/(x-4)
the (x-4) cancels out and we get
f(x)=x+3
so baiscally f(x) is y=x+3 but with a hole at (4,7)

one way is to make a piecewise function defined as(x^2-x-12)/(x-4) for all x≠4 and defined as 7 for x=4

or, to just do f(x)=x+3

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A grid of 100 squares shows 7 shaded squares what decimal number is represented

svp [43]

0.07

Step-by-step explanation:

This is because 7/100 is 7% and as a decimal is 0.07

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3 years ago

what is the coordinate of the vertex of the parabola y-2=1/12(x+10) a. ( 10,-2) b. (-10,2) c. (-2,10) d. (2.-10)

solniwko [45]

Answer:

$y-a= c(x-b)^2$

With the vertex $V= (b,a)$

We see that b = -10 and a = 2 and then the vertes wuld be:

$V= (-10,2)$

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

$y-2 = \frac{1}{2} (x+10)$

And if we compare this expression with the general expression for a parabola given by:

$y-a= c(x-b)^2$

With the vertex $V= (b,a)$

We see that b = -10 and a = 2 and then the vertes wuld be:

$V= (-10,2)$

And the best option is:

b. (-10,2)

4 0

3 years ago

X^3 + 3x^2 -10x factor polynomial and find zero

Fantom [35]

Answer:

x(x - 2)(x + 5)
x = 0, x = 2, x = -5

Step-by-step explanation:

x^3 + 3x^2 - 10x

~Factor

x(x - 2)(x + 5)

Solve for the zero.

x(x - 2)(x + 5) = 0

We know that; x = 0, x - 2 = 0, and x + 5 = 0

x = 0

x - 2 = 0

x = 2

x + 5 = 0

x = -5

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3 years ago

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Find the value of questions

Zolol [24]

Answer:

The simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

Step-by-step explanation:

Given the expression

$\frac{3^9\times \:y}{2\times 81}$

solving the expression

$\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}$

$=\frac{3^9y}{3^4\times \:2}$ ∵ $162=3^4\times \:2$

$=\frac{3^5y}{2}$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$=\frac{243y}{2}$ ∵ $3^5=243$

Therefore, the simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

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3 years ago

Which shape does not have a rotational symmetry?

guapka [62]

Answer:

Trapezoid

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