Answer:
90 pumpkin and 36 green beans
Step-by-step explanation:
Because there is a total of 7 parts (5+2) and I divided 126 by 7 and then put five of the 18ns (the quotient of 126 and 7) for pumpkins (so... multiply 18 by 5) then the other to times 18 is 36. And if you add them together, they equal 126.
Answer:
240 m
Step-by-step explanation:
Volume is just length times width times height, and a rectangular prism is like a 3D rectangle. When you multiply 5x6x8 you get 240
Hope this helps :)
The answer is 5g - 8 is your answer
Answer:
Both trains would meet in 6 hours time.
Step-by-step explanation:
Train A = 50 miles per hour
Train B = 60 miles per hour
Train B leaves 1 hour later than Train A: This means Train A started the journey first.
When will the 2 trains meet?
Both trains would meet when they both cover equal distance.
Distance = Speed * Time
First Hour
Train A = 50 miles
Train B = 0 miles
Second Hour
Train A = 100 miles
Train B = 60 miles
Third Hour
Train A = 150 miles
Train B = 120 miles
Fourth Hour
Train A = 200 miles
Train B = 180 miles
Fifth Hour
Train A = 250 miles
Train B = 240 miles
Sixth Hour
Train A = 300 miles
Train B = 300 miles
Both trains would meet in 6 hours time.
<span><span> x3-81=0</span> </span>One solution was found : <span> x = 3 • ∛<span>3 </span>= 4.3267</span>
Step by step solution :<span>Step 1 :</span>Trying to factor as a Difference of Cubes:
<span> 1.1 </span> Factoring: <span> x3-81</span>
Theory : A difference of two perfect cubes, <span> <span>a3</span> - <span>b3</span> </span>can be factored into
<span> (a-b) • (a2 +ab +b2)</span>
Proof : <span> (a-b)•(a2+ab+b2) =
<span>a3</span>+<span>a2b</span>+<span>ab2</span>-<span>ba2</span>-<span>b2a</span>-<span>b3</span> =
<span>a3</span>+(<span>a2b</span>-<span>ba2</span>)+(<span>ab2</span>-<span>b2a</span>)-<span>b3</span> =
<span>a3</span>+0+0+<span>b3</span> =
<span>a3</span>+<span>b3</span></span>
<span>Check : 81 is not a cube !! </span>
Ruling : Binomial can not be factored as the difference of two perfect cubes
Polynomial Roots Calculator :
<span> 1.2 </span> Find roots (zeroes) of : <span> F(x) = x3-81</span>
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is <span> -81.
</span>The factor(s) are:
of the Leading Coefficient : <span> 1
</span>of the Trailing Constant : <span> 1 ,3 ,9 ,27 ,81
</span>Let us test ....
<span><span> P Q P/Q F(P/Q) Divisor</span><span> -1 1 -1.00 -82.00 </span><span> -3 1 -3.00 -108.00 </span><span> -9 1 -9.00 -810.00 </span><span> -27 1 -27.00 -19764.00 </span><span> -81 1 -81.00 -531522.00 </span><span> 1 1 1.00 -80.00 </span><span> 3 1 3.00 -54.00 </span><span> 9 1 9.00 648.00 </span><span> 27 1 27.00 19602.00 </span><span> 81 1 81.00 531360.00 </span></span>
Polynomial Roots Calculator found no rational roots
<span>Equation at the end of step 1 :</span><span> x3 - 81 = 0
</span><span>Step 2 :</span>Solving a Single Variable Equation :
<span> 2.1 </span> Solve : <span> x3-81 = 0</span><span>
</span>Add 81 to both sides of the equation :<span>
</span> <span> x3 = 81</span>
When two things are equal, their cube roots are equal. Taking the cube root of the two sides of the equation we get: <span>
</span> x = <span> ∛<span> 81 </span></span><span>
</span>Can <span> ∛<span> 81 </span></span>be simplified ?
Yes! The prime factorization of 81 is
<span> 3•3•3•3</span>
To be able to remove something from under the radical, there have to be <span> 3 </span> instances of it (because we are taking a cube i.e.<span> cube </span>root).
<span>∛<span> 81 </span> = ∛<span> 3•3•3•3 </span> =
<span>3 </span>• ∛<span> 3 </span></span>
The equation has one real solution
This solution is <span> x = 3 • ∛<span>3 </span>= 4.3267 </span>
One solution was found : <span> x = 3 • ∛<span>3 </span>= 4.3267</span>
