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hammer [34]
3 years ago
12

Solve the following inequality algebraically. ∣x−5∣≤11

Mathematics
1 answer:
Igoryamba3 years ago
4 0

Answer:

-6\leq x\leq 16

Step-by-step explanation:

So we have the inequality:

|x-5|\leq 11

Definition of Absolute Value:

x-5\leq 11\text{ or } x-5\geq -11

Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

x\leq 16\text{ or } x\geq -6

Merge:

-6\leq x\leq 16

And we're done!

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White raven [17]

Answer:

10 1/8 years?

I hope this is right!

Step-by-step explanation:

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2 years ago
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Which expression is a perfect cube?<br> -8^21y^8<br> -64x^64y^64<br> -125x^9y^20<br> -126x^9y^18
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6 0
3 years ago
What is 16 ÷ 2 x 5 x 3 ÷ 6
aliya0001 [1]

Answer:

20

Step-by-step explanation:

use PEMDAS.

do 5 x 3, the multiply that by 16/2.

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then divide by 6

4 0
3 years ago
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Diego made a scale drawing of a theater. The scale of the drawing was 1 inch : 3 feet. The
Artyom0805 [142]

Answer:

The actual stage is 42 feet long

Step-by-step explanation:

Step 1

Determine the conversion factor as shown;

1 inch in the drawing represents 3 feet in the actual drawing

To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).

Step 2

Convert 14 inches in the drawing to the actual measurement of the stage as follows;

Actual stage length=drawing length×conversion factor

where;

drawing length=14 inches

conversion factor=3

replacing;

Actual stage length=(14×3)=42 feet

The actual stage is 42 feet long

3 0
3 years ago
CAN SOMEONE PLEASE HELP ME!!!!
love history [14]

Answer:

The balance after the payment is $1263.84.

Step-by-step explanation:

The formula for amount after compound interest is

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

Where, P is principal, r is rate of interest, n is number of time interest compounded in a period, number of periods.

According to the given information,

P=1455.69

r=0.128

n=365

t=45

Put these values in the above formula,

A=1455.69(1+\frac{0.128}{365})^{45}

A\approx 1478.84

The amount after compound interest is $1478.84. Add late fee chages $35 in this amount and subtract the payment of $250. So, the balance amount after payment is

Balance=1478.84+35-250=1263.84

Therefore the balance after the payment is $1263.84.

8 0
3 years ago
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