Does the mapping diagram represent a function? Why or why not?<br> х<br> y<br> -6<br> 10<br> 2

1. a type of bamboo holds a Guinness world record for the fastest growing plant.is can grow 91cm a day. how fast in inches per h

nikdorinn [45]

1-

Given length is 91 cm

1 cm = 0.3937 inch

so, 91 cm = 91* 0.3937 = 35.826 inches

1 day = 24 hours

In 24 hours the bamboo grows = 35.826 inches

In one hour it will grow = $\frac{35.826}{24}$

= 1.492 inches per hour. Hence the bamboo grows 1.492 inches per hour.

2-

We have to convert hours and seconds in minutes.

1 hour = 60 minutes

so 10 hours = 60 * 10 = 600 minutes.

60 seconds = 1 minute

so 24 seconds = $\frac{24}{60}$ = 0.4 minutes.

Now we have been given the total time as 10 hours, 39 minutes and 24 seconds

So adding all values in minutes, we get

600 + 39 + 0.4 = 639.4 minutes

So Saturn takes 639.4 minutes to complete one rotation

3-

Given equation is 0.4(30h)+30h

0.4(30h) represents the amount of tax Kimberly has to pay.

8 0

3 years ago

Estimate the problem 3,844 ÷75

blondinia [14]

Answer:88

Step-by-step explanation:

3 0

3 years ago

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Kevin is 4 times as old as Daniel and is also 6 years older than Daniel

MAXImum [283]

Answer:

Part a) Daniel's age is 2 years

Part b) Kevin's age is 8 years

Step-by-step explanation:

<u><em>The question is </em></u>

Part a) How old is Daniel?

Part b) How old is Kevin?

Let

x ----> Kevin's age

y ----> Daniel's age

we know that

$x=4y$ -----> equation A

$x=y+6$ ----> equation B

Equate equation A and equation B

$4y=y+6$

solve for y

$4y-y=6$

$3y=6$

$y=2$

therefore

Daniel's age is 2 years

<em>Find the value of x</em>

substitute the value of y in any of the two equations

$x=4(2)=8\ years$

$x=2+6=8\ years$

therefore

Kevin's age is 8 years

6 0

3 years ago

Help please help me

BARSIC [14]

Step-by-step explanation:

if you're looking for x

x=180-42-51= 87°

and if you're looking for D

D= 180-42= 138°

7 0

3 years ago

If a(x) = 3x + 1 and b(x)= squareroot x-4, what is the domain of (b*a)(x)?

oksano4ka [1.4K]

$\boxed{ \ x \geq 1 \ }$ or can be written as $\boxed{ \ [1, \infty) \ }$

<h3>Further explanation</h3>

This is a question about the composition of functions and how to get a domain function.

Given $\boxed{ \ a(x) = 3x + 1 \ }$ and $\boxed{ \ b(x) = \sqrt{x - 4} \ }$ .

We will form (b o a)(x) and then determine the domain.

$\boxed{ \ (b \circ a)(x) = b(a(x)) \ }$

Replace each appearance of x in b(x) with $\boxed{ \ a(x) = 3x + 1 \ }$ .

$\boxed{ \ (b \circ a)(x) = \sqrt{(3x + 1) - 4} \ }$

Thus, $\boxed{ \ (b \circ a)(x) = \sqrt{3x - 3} \ }$

To be defined, the value under the radical sign must not be negative. Therefore, the domain of $(b \circ a)(x) = \sqrt{3x - 3}$ are processed as follows.

$\boxed{ \ 3x - 3 \geq 0 \ }$

Both sides added by 3.

$\boxed{ \ 3x \geq 3 \ }$

Both sides divided by 3.

$\boxed{ \ x\geq 1 \ }$

Thus, the domain of $(b \circ a)(x) = \sqrt{3x - 3}$ is $\boxed{ \ x \geq 1 \ }$ or can be written as $\boxed{ \ [1, \infty) \ }$

<h3>Learn more</h3>

If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
Solve for the value of the function composition brainly.com/question/2142762
Look for rotation rules in the transformation brainly.com/question/2992432

Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,

4 0

3 years ago

Read 2 more answers

Does the mapping diagram represent a function? Why or why not? х y -6 10 2