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3 years ago

What is a number line for 5a + 18 < -27?

Mathematics

1 answer:

Colt1911 [192]3 years ago

8 0

Step-by-step explanation:

$5a + 18 < - 27 \\ \\ \therefore \: 5a < - 27 - 18 \\ \\ \therefore \: 5a < - 45 \\ \\ \therefore \: a < \frac{ - 45}{5} \\ \\ \therefore \: a < - 9$

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Using the properties of exponents and logarithms, find the value of x in 19 + 2 ln x = 25.

REY [17]

$19+2\ln x=25\ \ \ |-19\\\\2\ln x=6\ \ \ |:2\\\\\ln x=3\iff x=e^3$

$\text{Used de.finition of the logarithm:}\ \ \ \log_ab=c\iff a^c=b$

8 0

3 years ago

Read 2 more answers

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

Can you Afford to Enlarge this?You each want to have a 3" X 5' picture ofprinted so that you canput it on your dartboard. It cos

Marizza181 [45]

Given:

$\text{ Dimension = 3}\times5$

Sol:

Area of picture is:

$\begin{gathered} =\text{ length}\times\text{ Width} \\ \\ =15 \end{gathered}$

If the cost $10 per square inch then price of 15 square inch is:

$\begin{gathered} =15\times10 \\ \\ =150 \end{gathered}$

If the quadruple of dimension that mean:

$\begin{gathered} \text{ l ength = 4 length} \\ \\ Width\text{ = 4 width} \end{gathered}$

So area is:

$\begin{gathered} A=4\text{ length}\times4\text{ Width} \\ \\ A=4(15) \\ \\ A=60 \end{gathered}$

So price is:

$\begin{gathered} =60\times10 \\ \\ =600 \end{gathered}$

3 0

1 year ago

Seth invested a certain amount of money and got back an amount of $ 8400. If

kupik [55]

Answer:

$7700

Step-by-step explanation:

amount invested + interest = total

amount invested + 700 = 8400

Subtract 700 from both sides.

amount invested = 7700

Answer: $7700

5 0

2 years ago

Find the perimeter of the<br> polygon if ZB = ZD.

Butoxors [25]

Answer:

ion

Step-by-step explanation:

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3 years ago