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3 years ago

Consider the equation y=16-x. which of the following statements is true

Mathematics

1 answer:

musickatia [10]3 years ago

3 0

Answer:

C. Both x is a function of y and y is a function of x

Step-by-step explanation:

A function is a relationship which assigns to each input (from the domain) value, a unique output (from the range).

y is a function of x means x is from domain, y is from range

x is a function of y means y is from domain, x is from range

1. Given $y=16-x$

y is a function of x because for each x there is exactly one y corresponding to this x.

2. Rewrite $y=16-x$ expressing x in terms of y:

$y-16=-x\\ \\-x=y-16\\ \\x=16-y$

x is a function of y because for each y there is exactly one x corresponding to this x.

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PLEASE HELP Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 10

klemol [59]

The complete table will be:

$Monday - 100\\ Tuesday-65\\ Wednesday- 120\\ Thursday-150\\ Friday-90\\ Saturday- 0\\ Sunday-175$

Explanation

Suppose, the number of sit-ups in Sunday is $x$

Mean is the simple average of some numbers. For finding the mean number of sit-ups per day, we need to divide the 'total number of sit-ups' by the 'total number of days'.

Here the total number of days is 7 and the total number of sit-ups for 7 days $= 100+65+120+150+90+0+x= 525+x$

Given that, the mean number of sit-ups per day is 100. So, the equation will be...

$\frac{525+x}{7}=100\\ \\ 525+x=700\\ \\ x= 700-525=175$

So, the number of sit-ups you have to do Sunday is 175.

6 0

3 years ago

What is the equation of the line that passes through the point (4, -2) and has a slope of -22

Nina [5.8K]

Answer: the answer is y=-22x+86

here is why:

the slope is -22 which is the m --> y=mx+b the point is (4,-2) the x=4 and y= =2

If we set up the equation:

-2= -22(4)+86

-2= -88+86

-2= -2

4 0

3 years ago

Enter an equation in point-slope form for the line. Slope is 9 and (−3, −1) is on the line.

Korolek [52]

Answer:

y+1=9(x+3)

Step-by-step explanation:

Since the equation for point slope form is y-y₁=m(x-x₁)

enter the given points (-3,-1)

y-(-1)=9(x-(-3))

y+1=9(x+3) <-- point slope form

8 0

3 years ago

PLEASE HELP ME I BEG

Kay [80]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• 1 + cot²x = csc²x

Consider the left side

$csc^{4}$ x - $cot^{4}$ x

Factorise as a difference of squares

= (csc²x - cot²x)(csc²x + cot²x)

= (1 + cot²x - cot²x)(csc²x + cot²x)

= csc²x + cot²x

= csc²x + csc²x - 1

= 2csc²x - 1 = right side ⇒ verified

8 0

3 years ago

PLEASE HELP PLEASEEEEE

gulaghasi [49]

Answer:

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

4 0

3 years ago