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Determine the smallest integer value of
x in the solution of the following inequality.

-3x+9 < -9
Answer:
x=

Determine the smallest integer value of $x$ in the solution of the following inequality. $\newline$ -3 x+9<-9 $\newline$ Answer: $x=$

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Solve logarithmic equations II

Full solution

Q. Determine the smallest integer value of

x

in the solution of the following inequality.

\newline

-3 x+9<-9

\newline

Answer:

x=

Isolate x term: Isolate the term containing x. $\newline$ Subtract $9$ from both sides of the inequality. $\newline$ -3x + 9 - 9 < -9 - 9 $\newline$ -3x < -18
Subtract $9$ : Divide both sides by $-3$ to solve for $x$ . $\newline$ Remember that dividing by a negative number reverses the inequality sign. $\newline$ -3x / -3 > -18 / -3 $\newline$ x > 6
Divide by $-3$ : Find the smallest integer greater than $6$ . $\newline$ Since $6$ is not included in the solution (the inequality is strict, not ＂greater than or equal to＂), the next integer is $7$ .

More problems from Solve logarithmic equations II

Question

x

\newline

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\newline

\newline

Write your answer in simplest form.

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Question

Steven opened a savings account and deposited

\$100.00

as principal. The account earns

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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,

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

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Round your answer to the nearest cent.

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Use the following function rule to find

f(1)

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

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

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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

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b

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y =

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Question

x

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Question

Solve. Round your answer to the nearest thousandth.

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7 = e^x

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x =

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Question

Solve. Simplify your answer.

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\log u = 1

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u =

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Question

Solve. Simplify your answer.

\newline

7\log x = 7

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x =

Posted 9 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)

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\newline

g(t)

200\%

Posted 6 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) = 6x

\newline

f(x) = 6^x

\newline

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

\newline

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

Posted 6 months ago

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