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3 years ago

Find c. Round to the nearest tenth.

Mathematics

1 answer:

mixer [17]3 years ago

3 0

Answer:

Here,

150+10=180

162-180=18

Answer is 18°

Step-by-step explanation:

So the round of nearest tenth is 18°

Hope it will help have a great day at school. ^_^

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plain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x2 − 2x x2 − 4 if x ≠ 2 1 if x =

ElenaW [278]

Answer with Step-by-step explanation:

We are given that

$f(x)=\left\{\begin{matrix}\dfrac{x^2-2x}{x^2-4}&,if\ \ x\neq 2 \\ 1&,if\ \ x=2\end{matrix}\right.$

We have to explain that why the function is discontinuous at x=2

We know that if function is continuous at x=a then LHL=RHL=f(a).

$f(x)=\frac{x(x-2)}{(x+2)(x-2)}=\frac{x}{x+2}$

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2-h}{2-h+2}$

$\lim_{h\rightarrow 0}\frac{2-h}{4-h}=\frac{2}{4}=\frac{1}{2}$

Right hand limit =RHL when x> 2

Substitute

x=2+h

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2+h}{2+h+2}=\lim_{h\rightarrow 0}\frac{2+h}{4+h}$

$=\frac{2}{4}=\frac{1}{2}$

LHL=RHL= $\frac{1}{2}$

f(2)=1

$LHL=RHL\neq f(2)$

Hence, function is discontinuous at x=2

4 0

3 years ago

Help me guys...:( prove that 0!=1

Ray Of Light [21]

Answer:

0 + 1=0

hope this helps

have a good day :)

Step-by-step explanation:

6 0

3 years ago

Three-sevenths of a number is 21. Find the number

Neporo4naja [7]

Let x = the unknown number.
Because three-sevenths of the number is 21, therefore
(3/7)x = 21

That is
(3x)/7 = 21

Multiply each side by 7.
3x = 21*7 = 147

Divide each side by 3.
x = 147/3 = 49

Answer: 49

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3 years ago

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adoni [48]

X=2 y=2..............

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3 years ago

Which expression is equivalent to -4 (y + 3 - b)

AlexFokin [52]

Answer:

-4y-12+4b

Step-by-step explanation:

Use the Distributive Property:

$- 4(y + 3 - b)$

$- 4y - 12 + 4b$

$-4y-12+4b$ is an equivalent expression.

4 0

2 years ago