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KatRina [158]
3 years ago
11

Solve for X. −68 < 8x − 4 < −36

Mathematics
2 answers:
arsen [322]3 years ago
7 0
You want to get x in the middle by itself.

Add 4 to all pieces.

-68 < 8x-4 <-36
+4 +4 +4

-64<8x <-32

Divide everything by 8

-64/8<8x/8<-32/8

-8< x <-4

Answer:: all the number between -8 and -4 but not counting them
Aloiza [94]3 years ago
4 0

Answer:

The required solution is -8 in interval notation (-8,-4).

Step-by-step explanation:

Consider the provided inequality.

-68 < 8x - 4 < -36

We need to solve the inequity for x.

Add 4 to the provided inequality.

-68+4

Divide both the sides by 8.

-8

Thus, the value of x is greater than -8 but less than -4.

The required solution is -8 in interval notation (-8,-4).

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A bicycle has tires with a diameter of 21 inches. How many inches will
Finger [1]

Answer:

175 feet

Step-by-step explanation:

In 1 full revolution, the bike will travel 42 inches because the diameter of the tire is 21 inches. Any point on the tire will have to go through a whole revolution to be back at the original point which means 21 inches times 2.

So the bike travels 42 inches in 1 revolution then in 50 revolutions it will travel 2100 inches (42 times 50). Now if your convert 2100 inches to feet, you get 175 feet.

8 0
3 years ago
What is the fourth term in the sequence given by a n=5n+3
OverLord2011 [107]
To determine the fourth term, plug 4 into the equation;
n = 5n+3 \\  n_{4} =5(4)+3 \\  n_{4} =20+3 \\ n_{4}=23
3 0
3 years ago
Which number is a factor of 51? Please asap <br> 7<br> 11<br> 26<br> 17
allsm [11]
Seventeen is your answer

6 0
3 years ago
Read 2 more answers
What is the approximate volume of the cone? Use 3.14 for π.
Step2247 [10]
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7 0
3 years ago
What are the zeros of the polynomial function?
Genrish500 [490]

Hello from MrBillDoesMath!

Answer:

x = 2 and 10


Discussion:

Approach 1:

20 = (-10)*(-2) and  (-10) + (-2) = -12 the coefficients of the polynomial. Hence

x^2 -12x + 20 = ( x- 2) * ( x-10)


Approach 2:

From the quadratic formula ( a = 1, b = -12, c = 20)

x =    (  -(-12) +\- sqrt( ((-12)^2 - 4*1*20) )  /  (2 * 1)

   =    ( 12 +\- sqrt( 144-80)  ) /2

  =   (12 +\-  sqrt(64) ) /2

  =  (12 +\- 8 ) /2


x  = ( 12 + 8) /2 = 20/2 = 10

or

x = ( 12 - 8)/ 2 = 4/2 = 2



Thank you,

MrB

5 0
3 years ago
Read 2 more answers
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