The combined revenue for the movies in scientific notation is 
.
The given parameters;
- <em>first revenue made from the movie, = $352,000,000</em>
- <em>second revenue made from the movie, = $4,800,000</em>
The combined revenue from the movie is calculated by adding the two revenues together as shown below;
Total revenue = $352,000,000 + $4,800,000
Total revenue = $356800000 =
Thus, the combined revenue for the movies in scientific notation is
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Answer:
9. a = -7
10. x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
a + 6a - 14 = 3a + 6a
<u>Step 2: Solve for </u><em><u>a</u></em>
- Combine like terms: 7a - 14 = 9a
- Subtract 7a on both sides: -14 = 2a
- Divide 2 on both sides: -7 = a
- Rewrite: a = -7
<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it's a solution.</em>
- Substitute in <em>a</em>: -7 + 6(-7) - 14 = 3(-7) + 6(-7)
- Multiply: -7 - 42 - 14 = -21 - 42
- Subtract: -49 - 14 = -63
- Subtract: -63 = -63
Here we see that -63 is equal to -63.
∴ a = -7 is a solution of the equation.
<u>Step 4: Define equation</u>
-12 - 4x = 8x + 4(1 - 7x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Distribute 4: -12 - 4x = 8x + 4 - 28x
- Combine like terms: -12 - 4x = -20x + 4
- Add 20x on both sides: -12 + 16x = 4
- Add 12 on both sides: 16x = 16
- Divide 16 on both sides: x = 1
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: -12 - 4(1) = 8(1) + 4(1 - 7(1))
- Multiply: -12 - 4 = 8 + 4(1 - 7)
- Subtract: -16 = 8 + 4(-6)
- Multiply: -16 = 8 - 24
- Subtract: -16 = -16
Here we see that -16 does indeed equal -16.
∴ x = 1 is a solution of the equation.
Answer:
6, 11, 16, 21
Step-by-step explanation:
To obtain the first 4 terms add the common difference 5 to the previous term, that is
a₁ = 6
a₂ = a₁ + 5 = 6 + 5 = 11
a₃ = a₂ + 5 = 11 + 5 = 16
a₄ = a₃ + 5 = 16 + 5 = 21
Answer:
- The next term of the sequence is represented by the point (5, –64)
Step-by-step explanation:
<u>Note:</u> <em>The first point should be (1, - 4)</em>
According to the points, the sequence is:
- t₁ = - 4, t₂ = 8, t₃ = - 16, t₄ = 32
or
We can observe it is a geometric sequence with common ratio of - 2, as:
- r = 32/ - 16 = - 16/8 = 8/ - 4 = - 2
The following term is:
- t₅ = t₄*r = 32*(- 2) = - 64
The coordinates of same term are:
As we see the correct answer choice is D.
Answer:
A. 76
B. We will get two real solutions for the equation.
Step-by-step explanation:
A
For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.
In 3x²-2x-6=0, a=3, b=-2 and c=-6:
b²-4ac
(-2)²-4(3)(-6)=4+72=76
B.
When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.
