Using the distributive property how do I simplify the expression. (6b + 9)

What is the inverse of the function f(x) = 8x+1

Yanka [14]

Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember "f(x)" is the same thing as "y". Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1

Switch the "x" and "y" variables

x = 8y + 1

Isolate "y". Move the "y" variable to the left for standard formatting

8y + 1 = x

8y + 1 - 1 = x - 1 Subtract 1 from both sides

8y = x - 1

$\frac{8y}{8}=\frac{x-1}{8}$ Divide both sides by 8 and simplify

$y=\frac{x-1}{8}$ Inverse equation

$y=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

Use function notation, change "y"

$f^{-1}(x)=\frac{x-1}{8}$ Simplified

$f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}$ Slope-intercept form

6 0

3 years ago

4/2n+5/3c=1 Solve for c. -Multiply both sides by (blank) to clear fractions.

blsea [12.9K]

Answer:

We conclude that:

$c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2$

Step-by-step explanation:

Given the expression

$\frac{4}{2n}+\frac{5}{3c}=1$

Let us solve for 'c'

$\frac{4}{2n}+\frac{5}{3c}=1$

Least Common Multiplier of 2n, 3c: 6nc

Now multiply both sides by LCM = 6nc

$\frac{4}{2n}\cdot \:6nc+\frac{5}{3c}\cdot \:6nc=1\cdot \:6nc$

Simplify

$12c+10n=6nc$

Subtract 10n from both sides

$12c+10n-10n=6nc-10n$

Simplify

$12c=6nc-10n$

Subtract 6nc from both sides

$12c-6nc=6nc-10n-6nc$

Simplify

$12c-6nc=-10n$

Factor 12c - 6nc = 6c(2-n)

$6c\left(2-n\right)=-10n$

Divide both sides by 6(2-n); n≠2

$\frac{6c\left(2-n\right)}{6\left(2-n\right)}=\frac{-10n}{6\left(2-n\right)};\quad \:n\ne \:2$

simplify

$c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2$

Therefore, we conclude that:

$c=-\frac{5n}{3\left(-n+2\right)};\quad \:n\ne \:2$

4 0

3 years ago

Current and Quick Ratios The Nelson Company has $1,250,000 in current assets and $500,000 in current liabilities. Its initial in

murzikaleks [220]

Answer:

Step-by-step explanation:

$1,250,000 in current assets (cr) and $500,000 in current liabilities(cl)

current ratio (cr)=1250000/500000=2.5

Δ note payable ( change in note payable NP)

minimum current=2.2

2.2=(1250000+ΔNP)/(500000+ΔNP)

2.2(500000+ΔNP)=1250000+ΔNP

1100000+2.2ΔNP=1250000+ΔNP

2,2ΔNP-ΔNP=1250000-1100000

1.2ΔNP=150000

ΔNP=150000/1.2=125000

Nelson's short-term debt (notes payable) increase without pushing its current ratio below 2.2=125000

assuming this amount used to increase the inventory

new inventory=335000+125000=360000

current asset= 1250000+125000=1375000

the new ratio=(1375000-360000)/500000+125000

new ratio = 1.624

4 0

3 years ago

Write the following equation in slope-intercept form.

Alla [95]

y = x/2 + 6 is the answer

5 0

3 years ago

I need help so yea please help

vodka [1.7K]

Answer:

option 3

Step-by-step explanation:

divide the diameter by 2 to get the radius.

pi×r^2

3.14×42^2=5538.96 km^2

3 0

3 years ago

Using the distributive property how do I simplify the expression. (6b + 9)​

Using the distributive property how do I simplify the expression. (6b + 9)