All categories

3 years ago

Find the inverse of (1/3y)-7 Please show work!

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

Step-by-step explanation:

if additive inverse then

(1/3y)+7

if multiplicative inverse then

3y-7

if both then

3y+7

if in this way

f(x)=(1/3x)-7

f(-x)=(-1/3)-7

You might be interested in

How do i do 3 part a ?

WINSTONCH [101]

In general the binomial expansion is

$(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0$

So in our case, because we want ascending powers of x we'll write,

$(-3x + 1)^{11} = {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9 + {11 \choose 3 } (-3x)^3 1^8 + ...$

We need to calculate the binomial coefficients:

${11 \choose 0} = 1$

${11 \choose 1} = 11$

${11 \choose 2} = \dfrac{11 \times 10}{2} = 55$

${11 \choose 3} = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165$

$(-3x+1)^{11} = 1 (-3x)^0 1^{11} + 11(-3x)^{1} 1^{10} + 55 (-3x)^2 1^{9} + 165 (-3x)^3 1^8 + ...$

$(1-3x)^{11} = 1 -33 x + 495 3x^2 - 4455 x^3+ ...$

6 0

3 years ago

The effect of wearing different types of running shoes on the time it takes to complete a race is being studied in experiment. w

lana [24]

Answer:

A. Weather conditions

Step-by-step explanation:

4 0

3 years ago

The lengths of two sides of a triangle are given.

azamat

Answer:

Range = 5 - 29

Step-by-step explanation:

a + b > c

a+c > b

c+b > a

17+ 12 > c ,,,,,,,,,,,,,,,,,,,,,,,,,,,, so it should be lesser than 17+12 which is 29

17 +c > 12 ,,,,,,,,,,,,,,,,,,,,,,,,, and it should be greater than 17- 12 = 5

c+12 > 17 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, same here, it should be greater than 17- 12 = 5

So the range is ,

17 + 12

17-12

whcih is - (5 to 29)

I hope I am right!!!

3 0

3 years ago

Which decimal is equivalent to 8.617

stealth61 [152]

8.617, since that is already a decimal.

5 0

4 years ago

You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed

shtirl [24]

<h3>Write a model in simplified form for the total time t (in hours) of the trip:</h3>

$Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\$

<h3>It takes 2.95 hours when r is 4 miles per hour</h3>

<em><u>Solution</u></em>:

Given that,

<h3>You travel 3 miles downstream in a kayak at a speed of r miles per hour</h3>

Downstream:

Speed = r miles per hour

Distance = 3 miles

Time taken is given as:

$Downstream\ time = \frac{distance}{speed}\\\\Downstream\ time = \frac{3}{r} ------- eqn\ 1$

<h3>You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour</h3>

Upstream:

Speed = 0.5r miles per hour

Distance = 4 miles

Therefore,

$Upstream\ time = \frac{4}{0.5r} -------- eqn 2$

<h3>Finally, you turn around and return to your original starting point at a speed of r + 1 miles per hour</h3>

Therefore,

$time = \frac{1}{r+1} ----------- eqn\ 3$

<em><u>a)Write a model in simplified form for the total time t (in hours) of the trip</u></em>

The total time taken is:

eqn 1 + eqn 2 + eqn 3

$Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\$

<em><u>b)How long does your trip take when r is 4 miles per hour?</u></em>

Substitute r = 4

$Total\ time\ taken = \frac{3}{4} + \frac{4}{0.5 \times 4} + \frac{1}{4+1}\\\\Total\ time\ taken = 0.75 + 2 + 0.2\\\\Total\ time\ taken = 2.95$

Thus it takes 2.95 hours when r is 4 miles per hour

8 0

3 years ago