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2 years ago

Determine the range of f(x) = |x + 5|.

Mathematics

1 answer:

lianna [129]2 years ago

3 0

Answer:

[0,+♾)

Step-by-step explanation:

|x| function is kinda like a half opened book from (0, 0) and |x+5| is from (–5, 0)

So we can't find any changes for y

so the domain is

[0, +♾)

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laila [671]

Answer:

1080 in^2

Step-by-step explanation:

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3 years ago

Read 2 more answers

Can some one explain simplify and show me how to do it or give me a example

nika2105 [10]

When simplifying you need to be able to divide both the top and bottom number in the fraction by one of their factors. A number will be fully simplified when they become a prime number or have one as the numerator.

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4 years ago

Please can any one please help me with both of these

alexandr402 [8]

Answer:

Question 3: $4x^3+x^2-12x-3$

Question 4: $\frac{1}{2x}, x\neq 0$

Step-by-step explanation:

<u>Question 3</u>

g(x) * h(x) means to multiply both the functions given.

Also note the distributive property:

$(a+b)(n+p)=an+ap+bn+bp$

Now, lets multiply:

$g(x)*h(x)=(4x+1)(x^2-3)\\=(4x)(x^2)-3(4x)+1(x^2)-1(3)\\=4x^3-12x+x^2-3\\=4x^3+x^2-12x-3$

The 2nd answer choice is right

<u>Question 4</u>

$(\frac{f}{g})(x)$ means to divide both the functions and simplify, if possible. Lets do this:

$(\frac{f}{g})(x)=\frac{6x-3}{12x^2-6x}=\frac{3(2x-1)}{6x(2x-1)}=\frac{3}{6x}=\frac{1}{2x}$

This is the correct answer.

The restriction on the domain is any x value that we CANNOT PUT IN THE FUNCTION.

We know we cannot divide by 0, so what makes this fraction division by 0??

If we put x = 0, the function is undefined. So x CANNOT be 0.

Third answer choice is right.

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3 years ago

A ball bearing is fired straight up at a speed of 40m/s. Calculate the time during which it is in the air. Ignore air resistance

ololo11 [35]

Answer:

t = 8.2 sec

Step-by-step explanation:

the ball will move with uniform deceleration due to gravity until it reaches the highest point at which v = 0 then will change its direction and continue with uniform acceleration until it hits the ground.

the time the ball takes to reach the highest point equals the time it takes to return to the ground again.

to calculate the total time, we calculate the first half then multiply it by 2

we use the first equation because we have all the variables except time

v = 0 , u = 40 , a = -9.8

0 = 40 - 9.8t

t = 4.1 sec

total time = 4.1 x 2 = 8.2 sec

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4 years ago

Can someone help me?

valkas [14]

The answer is A or the first one
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3 years ago