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3 years ago

Solve for n. -4(n+5)=8

Mathematics

2 answers:

il63 [147K]3 years ago

6 0

Answer:

Simplify first:

-4n - 20 = 8

Add 20 to both sides:

-4n = 28

Divide by -4:

Therefore you will get:

n = -7

jeyben [28]3 years ago

3 0

Answer:

n = -7.

Step-by-step explanation:

-4(n + 5) = 8

-4n - 20 = 8

-4n = 28

n = -7.

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Sally bought 3 hamburgers and 2 drinks for $10.45. Jason bought 4

AleksAgata [21]

(-1) 3x + 2y = 10.45
4x + 3y = 14.30
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x + y = 3.85
x = 1.55
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4 0

4 years ago

Hi, need help with solving this logarithm.

vfiekz [6]

Answer:

$\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})$

Step-by-step explanation:

Given

$\log 8 - \log x + 7\log\sqrt x$

Required

Express as a single expression

We have:

$\log 8 - \log x + 7\log\sqrt x$

Write 7 as an exponent

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(\sqrt x)^7$

Rewrite as:

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log(x^{\frac{1}{2}})^7$

$\log 8 - \log x + 7\log\sqrt x =\log 8 - \log x + \log x^\frac{7}{2}$

Apply quotient and product rule of logarithm

$\log 8 - \log x + 7\log\sqrt x =\log (\frac{8*x^\frac{7}{2}}{x} )$

Apply law of indices

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7}{2} - 1})$

Solve exponent

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{7-2}{2}})$

$\log 8 - \log x + 7\log\sqrt x =\log (8*x^{\frac{5}{2}})$

$\log 8 - \log x + 7\log\sqrt x =\log (8x^{\frac{5}{2}})$

8 0

3 years ago

Match the one-to-one functions with their inverse functions.

Nady [450]

The inverse of a function is obtained by making x the subject of the formular of the function.

Given the function
$f(x)= \frac{x}{8} -7$
the inverse of the function is obtained as follows:
$y= \frac{x}{8} -7 \\ \\ y+7=\frac{x}{8} \\ \\ x=8(y+7) \\ \\ \bold{f^{-1}(x)=8(x+7)}$

Given the function
[tex[f(x)=x+7[/tex]
the inverse of the function is obtained as follows:
$y=x+7 \\ \\ x=y-7 \\ \\ \bold{f^{-1}(x)=x-7}$

Given the function
$f(x)=1- \frac{x}{3}$
the inverse of the function is obtained as follows:
$y=1- \frac{x}{3} \\ \\ -\frac{x}{3} =y-1 \\ \\ x=-3(y-1) \\ \\ \bold{f^{-1}(x)=-3(x-1)}$

Given the function
$f(x)=20-0.25x$
the inverse of the function is obtained as follows:
$y=20-0.25x=20- \frac{1}{4} x \\ \\ \frac{1}{4} x=20-y \\ \\ x=4(20-y) \\ \\ \bold{f^{-1}(x)=4(20-x)}$

5 0

3 years ago

To paint interior walls, a person charges 50¢ per square foot plus the cost of the paint. For a recent job, the paint cost $1

KatRina [158]

Answer:

750 ft²

Step-by-step explanation:

.Given :

Charge per ft² = 50¢ = $0.5

Total cost = ((charge per ft² * number of ft²) + cost of paint)

Given that :

Paint cost = $100

Total cost = $475

Number of ft² = x

Plugging values into the equation :

475 = (( 0.5 * x) + 100)

475 = 0.5x + 100

475 - 100 = 0.5x

375 = 0.5x

x = 375 / 0.5

x = 750 ft²

6 0

3 years ago

A portable table tennis set costs $30 before a 30% discount. What is the sale price?

Mama L [17]

Answer:

30% of 30 is 9, so the sale price is $21.00

Step-by-step explanation:

use a calculator and find 30% of 30$, then subtract the value from the calculator, boom, done.

6 0

4 years ago

Read 2 more answers