Answer:
10x^3+9x^2-9
Step-by-step explanation:
8x^3+2x-2+9x^2-7+2x-2x^3 - Combine like terms
10x^3+9x^2-9
Answer
48,000
Step-by-step explanation:
base(x)
1,200(40)
Answer:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
Step-by-step explanation:
We are given the following in the question:
According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight.
Sample size, n = 1200
p = 7.8% = 0.078
We have to carry a hypothesis test whether national percentage is higher than 7.8% or not.
Thus, we can design the null and the alternate hypothesis
Thus, the correct answer is:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
Answer:
The solution is (3/8, -7/8).
Step-by-step explanation:
y = −5x + 1
y = 3x − 2
Since the 2 expressions in x are both equal to y :
−5x + 1 = 3x - 2
-5x - 3x = -2 - 1
-8x = -3
x = 3/8.
So y = 3x - 2
= 3(3/8) - 2
= 9/8 - 2 = -7/8.
Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
