X^2 + 8x + 7= 0
(X+7)(X+1)
X=-1,-7
Answer: x = 13.4
Step-by-step explanation:
1. Subtract 90 degrees and 33 degrees to get angle X, which is 57 degrees.
2. Using Laws of Sine, plug in the known elements of the triangle:
(16) / (sin(90)) = (x) / (sin(57))
3. Cross multiply, this will leave 16sin(57) = xsin(90)
4. Divide sin(90) to the other side, leaving x = (16sin(57)) / (sin(90))
5. Plug this into a calculator and your final answer should be 13.4
Answer:
Step-by-step explanation:
d = number of dimes
2.80 = 0.1d + 0.25 (d + 8 )
2.80 = 0.1d + 0.25d + 2 Combine like terms
2.80 = 0.35d + 2 Subtract 2 from both sides
0.80 = 0.35d Divide both sides by 0.35
d ≈ 2.29
No, it's not possible to have more quarters than dimes when the total is $2.80 because it's not possible to have part of a dime.
1. A polynomial function is a function that can be written in the form
f(x)=anxn +an−1xn−1 +an−2xn−2 +...+a2x2 +a1x+a0,
where each a0, a1, etc. represents a real number, and where n is a natural number Here are the steps required for Solving Polynomials by Factoring:
Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.
Step 2: Use a factoring strategies to factor the problem.
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Example 1 – Solve: 3x3 = 12x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Example 2 – Solve: x3 + 5x2 = 9x + 45
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 3 – Solve: 6x3 – 16x = 4x2
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 4 – Solve: 3x2(3x + 4) = 12x(x + 3)
Step 1: Write the equation in the correct form. In this case, we need to remove all parentheses by distributing and set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Example 5 – Solve: 16x4 = 49x2
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
Step 1
Step 2: Use a factoring strategies to factor the problem.
Step 2
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
Step 3
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
Step 4
Click Here for Practice Problems
Answer: 3 years
Step-by-step explanation:
usa test prep
