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3 years ago

Is this graph continuous at x=1?

Mathematics

1 answer:

drek231 [11]3 years ago

8 0

Answer:

Step-by-step explanation:

By my definition, no. There's a continuity up to and including just before 1 approaching from the left, and there's a continuity just after 1 going to the right. But 1 itself has a special definition h(x) = 4 when x = 1 and that makes it discontinuous.

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If the measure of each exterior angle of a regular polygon is 18°, determine how many sides the polygon has.

Sveta_85 [38]

we are given

exterior angle is 18

so,

$\theta=18$

now, we can use formula

number of sides of regular polygon = 360/(exterior angle)

so, we get

$n=\frac{360}{18}$

$n=20$

so, number sides is 20..........Answer

7 0

3 years ago

Which of the following expressions is equivalent to 6x + 24?

Colt1911 [192]

Well if you set the equation equal to zero X will equal negative 4 so if you take your other answer choices and equal them to zero whichever one x equals negative 4 that's your answer

6 0

3 years ago

How do I find the value of x

Drupady [299]

Answer:

$x=144$

Step-by-step explanation:

$We\ can\ observe\ that:\\The\ polygon\ is\ an\ octagon\ as\ it\ is\ bounded\ by\ 8\ linear\ sides.\\Hence,\\We\ know\ that,\\The\ Interior\ Angle\ Sum\ of\ a\ polygon\ with\ n\ is\ given\ by\ the\ formula:\\Interior\ Angle\ Sum=180(n-2)\\Hence,\\As\ we\ already\ know\ that,\\The\ number\ of\ sides\ in\ this\ polygon=n=8\\Hence,\\The\ Interior\ Angle\ Sum\ Of\ An\ Octagon=180(8-2)=180*6=1080\\$

$Hence,\\\angle 1+ \angle 2+\angle 3+\angle 4+\angle 5+\angle 6+\angle 7+\angle 8=1080\\Hence,\\129+132+136+124+141+158+116+x=1080\\Hence,\\936+ \angle x=1080\\\angle x=1080-936=144$

6 0

3 years ago

Magan bought an electric bill at 85% of the regular price she paid $32.89 for the drill what was the regular price

Natasha2012 [34]

Answer:

$38.69

Step-by-step explanation:

To find the regular price, create a proportion.

$\frac{32.89}{x}=\frac{85}{100}$

To solve for the regular price x, cross multiply the numerator and denominator of each fraction.

32.89*(100) = x(85)

3289=85x

38.69 = x

4 0

3 years ago

Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.

sleet_krkn [62]

<span>Alright, here's your answer.

y-intercept is computed (not found) by assigning x = 0 and computing y: here that is f(0) = Log(2*0 + 1) – 1 = Log(1) – 1 = 0 – 1 = -1
y-intercept is (0, -1)

x-intercept is computed by solving f(x) = 0 for x: here that is
0 = Log(2x + 1) – 1 → 1 = Log(2x + 1)

Assuming the Log cited is base 10, then 10^1 = 10^Log(2x + 1) = 2x + 1

That’s 10 = 2x + 1

Therefore 9 = 2x
x = 9/2 = 4.5
Check this result in the original equation, I did!

Your answer is - x-intercept is (4.5, 0)

I hope I helped! :)

</span>

6 0

3 years ago