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3 years ago

8-(3+b)=b-9 ion understand this

Mathematics

1 answer:

sp2606 [1]3 years ago

3 0

Answer:

b = 7

Step-by-step explanation:

Given

8 - (3 + b) = b - 9 ← distribute parenthesis on the left by - 1

8 - 3 - b = b - 9, that is

5 - b = b - 9 ( subtract b from both sides )

5 - 2b = - 9 ( subtract 5 from both sides )

- 2b = - 14 ( divide both sides by - 2 )

b = 7

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Answer:

angle(2) = 118 degree

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Step-by-step explanation:

To find angle 2 :

$62 + angle{2} = 180 \\ angle{2} = 180 - 62 = 118 \: degree$

The rule (head to head):

angle(2) = angle(3) = 118 degree

And the last one is angle(4) which is the same thing:

angle(4) = angle(1) = 62 degree

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3 years ago

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3 years ago

Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.

liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

$f(x) = \frac{x^2+4x+3}{x^2-x-2}$

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial $x^2-x-2$

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

$(x-2) (x + 1)$

We do the same with the numerator

$x^2+4x+3$

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

$(x+3)(x + 1)$

Therefore

$f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}$

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So since $x = -1$ is not included in the domain the function has a discontinuity in $x = -1$

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3 years ago

A new truck sells for $29,000 and depreciates 12% each year. Find the value of the truck after 10 years.

ozzi

Answer:

according to the question value got less 12% each year

first of all the 12% of 29000$ = 29000÷100×12= 3480 $

in one year truck value deprecates 3480$

in 10 years it will 3480$×10 =34800$

now truck cost will be = 29000-34800$= -5000$

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2 years ago

8-(3+b)=b-9 ion understand this​

8-(3+b)=b-9 ion understand this