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vazorg [7]
1 year ago
5

Question 2(Multiple Choice Worth 1 points) (01.04 LC) Solve for x: −2x − 4 > 8

Mathematics
1 answer:
frutty [35]1 year ago
8 0

The required solution of the inequality is x  < - 6.


Given that,
To solve the equation −2x − 4 > 8.

<h3>What is inequality?</h3>

Inequality can be described as the consideration of the equation including the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.


Here,
The given equation
−2x − 4 > 8
adding 4 on both sides
-2x > 12
multiply by -1
when multiplying the negative -1 it will change the behavior of the inequality, so.
2x < - 12
Divide by 2 into both sides
x < - 6

Thus, the required solution of the inequality is x  < - 6.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

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Prove that the gregorian calendar repeats itself every 400 years.
Setler79 [48]

The calendar obviously has an integral number of years and months in 400 years. If it has an integral number of weeks, then it will repeat itself after that time. The rules of the calendar eliminate a leap year in 3 out of the four century years, so there are 97 leap years in 400 years. The number of excess days of the week in 400 years can be found by ...

(303·365) mod 7 + (97·366) mod 7 = (2·1 + 6·2) mod 7 = 14 mod 7 = 0

Thus, there are also an integral number of weeks in 400 years.

The first day of the week is the same at the start of every 400-year interval, so the calendar repeats every 400 years.

3 0
3 years ago
A phone company needs to know how high a cell tower is, so it decides to use a 2 m pole and shadows cast by the sun, as shown in
Jet001 [13]
Im not exactly sure but i think its about 12 inches

6 0
3 years ago
3/4x=-18 what is the answer?
Afina-wow [57]

Answer:

X= 24

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3/4*x-(18)=0

Step by step solution :

Step  1  :

           3

Simplify   —

           4

Equation at the end of step  1  :

  3        

 (— • x) -  18  = 0

  4        

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         18     18 • 4

   18 =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x - (18 • 4)     3x - 72

—————————————  =  ———————

      4              4  

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x - 72  =   3 • (x - 24)

Equation at the end of step  3  :

 3 • (x - 24)

 ————————————  = 0

      4      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 3•(x-24)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (x-24)  = 0

Equations which are never true :

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.3      Solve  :    x-24 = 0

Add  24  to both sides of the equation :

                     x = 24

One solution was found :

                  x = 24

6 0
3 years ago
Plzz look into the question in the attachements
iren2701 [21]

Given : Diameter of the right circular cone ==> 8 cm

It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)

Given : Volume of the right circular cone ==> 48π cm³

We know that :

\bigstar \ \ \boxed{\textsf{Volume of a right circular cone is given by : $\pi r^2\dfrac{h}{3}$}}

where : r is the radius of the circular cross-section.

             h is the height of the right circular cone.

Substituting the respective values in the formula, we get :

\mathsf{\implies \pi \times (4)^2 \times \dfrac{h}{3} = 48\pi}

\mathsf{\implies 16 \times \dfrac{h}{3} = 48}

\mathsf{\implies \dfrac{h}{3} = 3}

\implies \boxed{\mathsf{h= 9 \ cm}}

<u>Answer</u> : Height of the given right circular cone is 9 cm

8 0
3 years ago
Find the slope of the line with the equation 12x - 8y + 7 = 9.<br> -3/2<br> 312<br> 2/3
Oksana_A [137]

Answer:

The slope is 3/2

Step-by-step explanation:

The slope is a in the equation y= ax +b

The equation is -8y = -12x +9 -7  → -8y = -12x +2

When we make this possitive by multiplying by -1 the equation will be

8y= 12x -2

To get Y we have to divide by 8

y= 12/8 x - 2/8

The slope is 12/8 or if we simplify it 3/2

7 0
3 years ago
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