1. Which of the following conclusions is true about the statement below?
A. The statement is never true.
B. the statement is true when x =0.
C. The statement is true when x is negative.
D. The statement is always true.
My answer was B.
2. Solve for x in the equation x^2 - 2 x - 15 = 0 .
A. ( -3 , -5)
B. ( 3 , -5 )
C. (-3 , 5)
D. ( 3 , 5 )
My answer is C.
3. Select the approximate values of x that are solutions to f ( x ) = 0 , Where f ( x ) = 2 x^2 + 4 x + 9
A. ( -0.22 , 0.44 )
B. ( -2 , 4 )
C. ( -2.00 , -4.50)
D. ( -1.35 , 3.35 )
My answer is B.
4. f ( x ) = 3 x ^2 + 8 x + 3
A. ( 3.00, -0.33 )
B. ( -3 , 8 )
C. ( -2.67 , -1.00)
D. ( -1.00,2.67)
My answer is C.
5. f ( x ) = 8 x ^2 + 7 x + 4
A. ( - 0.39 , 1.27 )
B. ( -8 , 7 )
C. (-0.88 , -0.50 )
D. ( -2.00 , 1.75 )
My answer is B.
6.Select the values of x that are solutions to the inequality 0 > x ^2 + 5 x -2
A. x E ( -5-square root 33 / 2 , -5+square root 33 / 2)
B. x E ( -5- square root 33/ 2 , -5 + square root 33 / 2 )
C. x E ( - 00, -5- square root 33 )/2 U ( -5 + square root 33, 00 / 2 )
D. x E ( -00, -5- square root 33 ) /2 U ( -5 + square root 33 , 00 /2 )
My answer is A.
Hello Stevie Can you please look over my work Thank you.
#1 - no idea, since you don't show the statement below
#2 C is correct
#3 since the discriminant is negative, there are no real roots, so none of the choices is correct. Typo?
#4 I get -2.21, -0.45
That is, (-4±√7)/3
Typo?
#5 Again, no real roots. Typo?
#6 A and B look the same to me, but if A is
((-5-√3)/2 , (-5+√3)/2)
then (A) is correct.
I guess B is (-5) - (√3/2),...?
Thank you Steve
Let's go through each question step by step to determine if your answers are correct.
1. The statement given does not include any values for x, so we cannot determine when it is true based on the information provided. Therefore, the answer is not B. To determine the correct conclusion, we would need more information about the statement or the values of x. Without that additional information, none of the conclusions can be determined to be true or false. Thus, the correct answer is A.
2. To solve the equation x^2 - 2x - 15 = 0, we can factorize the equation. We need to find two numbers whose product is -15 and whose sum is -2. The numbers that satisfy these conditions are 5 and -3. Therefore, the factored form of the equation is (x + 3)(x - 5) = 0. Setting each factor equal to zero gives us x + 3 = 0 and x - 5 = 0. Solving these equations, we find x = -3 and x = 5. Therefore, the correct answer is C.
3. To find the approximate values of x that are solutions to f(x) = 0, where f(x) = 2x^2 + 4x + 9, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x are given by x = (-b ± √(b^2 - 4ac)) / (2a). Plugging in the values for a, b, and c from f(x), we get x = (-4 ± √(4^2 - 4(2)(9))) / (2(2)). Simplifying further, we have x = (-4 ± √(16 - 72)) / 4, which becomes x = (-4 ± √(-56)) / 4. Since the square root of a negative number is not a real number, there are no real solutions to this equation. Therefore, none of the provided options are correct, and the correct answer is none of the above.
4. To find the x-values for which f(x) = 3x^2 + 8x + 3, we need to set f(x) equal to zero and solve for x. So we have 3x^2 + 8x + 3 = 0. We can factorize this equation as (3x + 1)(x + 3) = 0. Setting each factor equal to zero, we get 3x + 1 = 0 and x + 3 = 0. Solving these equations, we find x = -1/3 and x = -3. Therefore, the correct answer is C.
5. Similar to the previous question, we need to set f(x) = 8x^2 + 7x + 4 equal to zero and solve for x. However, this equation cannot be easily factored. Instead, we can use the quadratic formula. Applying the quadratic formula with a = 8, b = 7, and c = 4, we find that x = (-7 ± √(7^2 - 4(8)(4))) / (2(8)). Simplifying further, we have x = (-7 ± √(49 - 128)) / 16, which becomes x = (-7 ± √(-79)) / 16. Since the square root of a negative number is not real, there are no real solutions to this equation. Therefore, none of the provided options are correct, and the correct answer is none of the above.
6. To find the values of x that satisfy the inequality 0 > x^2 + 5x - 2, we can start by solving the corresponding equation, x^2 + 5x - 2 = 0. Similar to question 2, we can use the quadratic formula. Applying the quadratic formula with a = 1, b = 5, and c = -2, we obtain x = (-5 ± √(5^2 - 4(1)(-2))) / (2(1)). Simplifying further, we have x = (-5 ± √(25 + 8)) / 2, which becomes x = (-5 ± √(33)) / 2. Therefore, the correct answer is A.