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Helga [31]
3 years ago
8

Solve the equation: X to the 4th power - 81=0

Mathematics
1 answer:
Musya8 [376]3 years ago
5 0
x^4-81=0\\
x^4=81\\
x^4=3^4 \vee x^4=(-3)^4\\x=3 \vee x=-3
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A zookeeper weighed an African elephant to be 9x10^3 pounds and an African lion to be 4x10^2 pounds. How many times greater is t
maria [59]
Answer:  22.5 .  The weight of the elephant is "22.5 times greater" than                              the weight of the lion.
_________________________________________________________
Explanation:
_________________________________________________________

(weight of lion) * (x) = (eight of the elephant)  ;  Solve for "x" .
_____________________________________________________
   → Divide each side of the equation by "(weight of lion)" ;
  to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
    
   → (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
                                                           (weight of lion) ;
________________________________________________________
     →  x  = (weight of the elephant) / (weight of lion) ;
__________________________________________________________
     →  Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
     →  x = (<span>9*10</span>³) / (4*10²) =  (9*10⁽³⁻²⁾) / 4  =  (9*10¹) / 4  ;
__________________________________________________________  
     →  x =  90 /4 = 25/2  = 22.5 ; which is our answer.
__________________________________________________________
4 0
3 years ago
Please someone help me out. I beggggg
bezimeni [28]

Answer:

1.  144  2. 16 3. 1   4. 3x-6  

Step-by-step explanation:

So think of this as a function in a function.  So you work from the inside to the outside.  So for problem 1, we start with f(4)) [you read it "f of 4"] so what is the solution when x = 4, since f(x) means the function of x so f(4) means 'the function of 4' inside f(x).  

Since f(x) = 3x then f(4) = 3(4) [notice how you substitute the 4 everywhere you see a letter x]

so f(4) = 12, now you work the next part h(f(4)) since f(4)=12 then h(12)

So take the h(x) function which is h(x) = x^{2} then h(12) = 12^{2} so h(12) = 144

4 0
3 years ago
What is the area of a triangle with a height of 13 cm and a base of a 10 cm?
Alecsey [184]
Area of a triangle is equal to 1/2 b(h) so since you already have the height and base, all you need to do is input it back into the equation:

\frac{1}{2} (10)(13)


Multiply 10 & 13 to equal 

\frac{1}{2} (130)

Then take half of 130 to get

A = 65 cm^{2}
8 0
3 years ago
Read 2 more answers
5.Karen is thinking of a number. If she multiplies her number by −3 and then adds 6, she has −4 times the original number. What
alekssr [168]

-3x+6 = -4x

6 = -x

x = -6

check:

-6*-3 = 18 +6 =24

-6*-4 = 24

 number = -6


5 0
3 years ago
PLEASE ANSWERRRRRRR
Mademuasel [1]

Answer:

Step-by-step explanation:sorry

8 0
3 years ago
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