All categories

3 years ago

solve each inequality using addition and subtraction and graph it's solution set on a number line x + 8 > 14

Mathematics

2 answers:

faltersainse [42]3 years ago

7 0

X+8>14

Subtract 8 from both sides-
x>6

Do you need help with the graphing part too?

Svetach [21]3 years ago

6 0

Hi there!

Step-by-step explanation:

First, you subtract by 8 from both sides of an equation.

x+8-8>14-8

Then, you subtract by the numbers from left to right.

14-8=6

The answer must have a positive sign.

<u><em>Answer: →→ x>6</em></u>

Hope this helps!

Have a nice day! :)

You might be interested in

Find the sum of the first 8 terms in the following geometric series.

padilas [110]

Answer: 43690

Step-by-step explanation:

5 0

4 years ago

If an intravenous fluid is adjusted to deliver 15 mg of medication to a patient per hour, how many milligrams of medication are

adelina 88 [10]

Answer: 0.125 mg per half minute

Step-by-step explanation:

15mg per hour can be written as 15mg/h

To find out how many mg of medication are delivered per half minute you can convert from hour to minutes

There are 60 minutes in 1 hour, so you can use the conversion factor (1h/60 min) and multiply the expression by it

15 mg/h (1h/60min) = 0.25 mg/min

But the question is per half minute so you have to multiply and divide the previous expression by 0.5 (To obtain 0.5 min in the denominator, which is half minute)

Then,

(0.25 mg/min ) (0.5/0.5) = 0.125 mg/ 0.5 min (0.125 mg per half minute)

8 0

3 years ago

f(x) = 0.2^x is transformed 9 units right, compressed vertically by a factor of 1/6 and reflected across the x-axis. Write the t

postnew [5]

Answer:

The function g(x) is defined as $g(x)=-\frac{1}{6}(0.2)^{x-9}$ .

Step-by-step explanation:

The given function is

$f(x)=-(0.2)^x$

The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.

The transformation of function is defined as

$g(x)=kf(x+b)+c$

Where, k is vertical stretch, b is horizontal shift and c is vertical shift.

If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.

If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.

The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).

$g(x)=\frac{1}{6}(-f(x-9))$

$g(x)=-\frac{1}{6}(0.2)^{x-9}$ $[\because f(x)=-(0.2)^x]$

Therefore the function g(x) is defined as $g(x)=-\frac{1}{6}(0.2)^{x-9}$ .

7 0

3 years ago

Read 2 more answers

A skydiver is falling 176 feet per second. How many feet per minute is he falling

Vlada [557]

The correct answer here is that if the skydiver is falling 176 feet per second, he is falling 10560 feet per minute. This can be worked out quite easily, by considering that if there are 60 seconds in a minute, we then need to work out the proportion of 176 feet/1 sec = x/60 sec. You then need to multiply 60 by 176 to get 10560, which is your answer.

3 0

3 years ago

I need help with this please help me

AveGali [126]

Sorry i cant help you sorry

3 0

3 years ago