Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Simplify the expression. Write your answers using integers or improper fractions. -2(3m+5)-(8)/(5)m Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $-2(3 m+5)-\frac{8}{5} m$ $\newline$ Answer:

View step-by-step help

View step-by-step help

Change of base formula

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.

\newline

-2(3 m+5)-\frac{8}{5} m

\newline

Answer:

Distribute terms in parentheses: Distribute the $-2$ across the terms inside the parentheses. $\newline$ $-2 \times 3m = -6m$ $\newline$ $-2 \times 5 = -10$ $\newline$ So, $-2(3m+5)$ becomes $-6m - 10$ .
Combine distributed terms: Combine the distributed terms with the remaining part of the expression. $\newline$ The expression now is $-6m - 10 - \left(\frac{8}{5}\right)m$ .
Combine like terms: Combine like terms, which are the terms with the variable $m$ . To combine $-6m$ and $-(8/5)m$ , we need a common denominator. The common denominator for $1$ (the implicit denominator of $-6m$ ) and $5$ is $5$ . So, $-6m$ becomes $-30/5m$ . Now, combine $-30/5m$ and $-6m$ $0$ to get $-6m$ $1$ .
Write final expression: Write the final simplified expression. $\newline$ The simplified expression is $-\frac{38}{5}m - 10$ .

More problems from Change of base formula

Question

Solve. Write your answer as an integer or a fraction in simplest form.

\newline

5^x=1

\newline

x=

Posted 3 months ago

Question

Steven opened a savings account and deposited

\$100.00

as principal. The account earns

9\%

interest, compounded annually. What is the balance after

5

\newline

Use the formula

A = P(1 + \frac{r}{n})^{nt}

A

is the balance (final amount),

P

is the principal (starting amount),

r

is the interest rate expressed as a decimal,

n

is the number of times per year that the interest is compounded, and

t

is the time in years.

\newline

Round your answer to the nearest cent.

\newline

\$

Posted 3 months ago

Question

Use the following function rule to find

f(1)

\newline

f(x) = 12(7)^x + 8

\newline

f(1) =

Posted 2 months ago

Question

The town of Valley View conducted a census this year, which showed that it has a population of

1,800

people. Based on the census data, it is estimated that the population of Valley View will grow by

12\%

\newline

Write an exponential equation in the form

y = a(b)^x

that can model the town population,

y

x

decades after this census was taken.

\newline

Use whole numbers, decimals, or simplified fractions for the values of

a

b

\newline

y =

Posted 2 months ago

Question

Solve. Round your answer to the nearest thousandth.

\newline

7 = 9^x

\newline

x =

Posted 3 months ago

Question

Solve. Round your answer to the nearest thousandth.

\newline

7 = e^x

\newline

x =

Posted 1 month ago

Question

Solve. Simplify your answer.

\newline

\log u = 1

\newline

u =

Posted 3 months ago

Question

Solve. Simplify your answer.

\newline

7\log x = 7

\newline

x =

Posted 2 months ago

Question

g(t) = 3^t

change over the interval from

t = 3

t = 4

\newline

\newline

g(t)

3

\newline

g(t)

3

\newline

g(t)

3\%

\newline

g(t)

200\%

Posted 3 months ago

Question

f(x)

6

over every unit interval in

x

f(0) = 0

\newline

Which could be a function rule for

f(x)

\newline

\newline

f(x) = 6^x

\newline

f(x) = 6x

\newline

f(x) = \frac{1}{6^x}

\newline

f(x) = \frac{x}{6}

Posted 3 months ago