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rewona [7]
3 years ago
8

How to write the of the cube of a number and 27 in algebraic expression?

Mathematics
2 answers:
Usimov [2.4K]3 years ago
8 0

should be:

x^3 + 27

hope it helps

Korolek [52]3 years ago
4 0
Should be iam not sure but it should be x^3+27
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Let x^2+15x=49
Slav-nsk [51]
<span>x^2 + 15x + 56.25 = 105.25

    "Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
 x^2 + 15x + 56.25 = 49 + 56.25
 Which is
 x^2 + 15x + 56.25 = 105.25
  Which is the answer desired.

   Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
 (x+7.5)^2 = 105.25

   Now take the square root of each side
 (x+7.5) = sqrt(105.25)

   And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
 and
 x+7.5 = -10.25914226

   And let's find X.
 x+7.5 = 10.25914226
 x = 2.759142264

   x+7.5 = -10.25914226
 x = -17.75914226

   So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
3 0
3 years ago
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SIZIF [17.4K]
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Write an equation that represents the area of Shannon’s garden
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If Shannon's garden is in a rectangle, the area of a rectangle is (length x width). If it's a square, then it would simply be (length x length) ... or length squared.
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3 years ago
4y^2 + 2 =38 <br> Help with work would be greatly appreciated
DIA [1.3K]

4y^2 + 2 - 2 = 38 - 2 (subtract both side by 2)

4y^2 = 36

Divide by 4:

y^2 = 9

y = \sqrt{9}

y = 3

5 0
3 years ago
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Solve the equation (3 x/2)(3 x/4)=3^6 <br><br> Please help!! Need done asap!
Paul [167]

Answer:

x=18√2 or x=−18√2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

9/8x^2=729

Step 2: Divide both sides by 9/8.

9/8x^2/9/8=729/9/8

x^2=648

Step 3: Take square root.

x=±√648

x=18√2 or x=−18√2

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