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zepelin [54]
4 years ago
12

-2X-6<12 solve for X

Mathematics
2 answers:
erastova [34]4 years ago
7 0

-2X-6<12

add 6 to each side

-2X < 18

divide by -2  which causes the inequality to flip

X> -9

Whitepunk [10]4 years ago
3 0

Answer:

x = -9

Step-by-step explanation:


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The equation of the piecewise function f(x) is below. What is the value of f(3)?
JulijaS [17]

Option B: 5 is the value of f(3)

Explanation:

The equation of the piecewise function is given by

f(x)=\left\{\begin{aligned}-x^{2}, & x

We need to find the value of f(3)

The value of the function f can be determined when x=3 by identifying in which interval does the value of x=3 lie in the piecewise function.

Thus, x=3 lies in the interval x\geq 0 , the function f is given by

f(x)=x+2

Substituting x=3 in the function f(x)=x+2, we get,

f(3)=3+2

f(3)=5

Thus, the value of f(3) is 5.

Therefore, Option B is the correct answer.

8 0
3 years ago
Angelina deposits $3000 in a savings account on 1 January 2019, earning compound interest of 1.5% per year.
jekas [21]

The interest earned would be $481.62.

The total amount of money in her account would be $16,377.12.

<h3>Determining interest after 10 years </h3>

Interest = future value - amount deposited

$3000 (1.015)^10 = $3,481.62

Interest =  $3,481.62 - $3000 = $481.62

<h3>Determining the future value of the account.</h3>

 Future value of the lump sum = $3000 x (1.015)^11 = $3,533.85

Future value of the annuity = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r = [(1.015)^10 - 1] / 0.015 = 10.702722

Future value =  10.702722 x $1,200 = $12,843.27

Total future value =  $12,843.27 + $3,533.85 = $16,377.12

To learn more about future value, please check: brainly.com/question/18760477

4 0
2 years ago
The circumference of a circle is 60 pi cm. What is the length of an arc of 140 degrees
son4ous [18]
<span>circumference = 60*PI cm
If an arc is 140 degrees of the circle then its length =
</span>
<span>60*PI cm * (140 / 360)
arc length = 23.33333 cm

</span>
8 0
3 years ago
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Can someone please help me with this question!!!!!
Pani-rosa [81]
The range would be the difference between the lowest age and the highest age.

The highest age is 76, the lowest age is 30

The range is 76 - 30 = 46
3 0
3 years ago
Read 2 more answers
2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees
kykrilka [37]

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are (3n-28)^\circ$ and 83^\circ.

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

(3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37

8 0
3 years ago
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