Evaluate g( -2) if g(x) = x^2 – 4x + 10
Answers
Answer:
g (-2) = 22
Step-by-step explanation:
Evaluate g( -2) if g(x) = x^2 – 4x + 10
g(-2) = (-2)^2 - 4(-2) + 10
g(-2) = 4 + 8 + 10
g (-2) = 22
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I
II
III
IV
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Hope I Helped You!!!
Answers
Answer:
x = - 3, x =
Step-by-step explanation:
Given
f(x) = 4x² + 5x - 21
To obtain the zeros, equate f(x) to zero, that is
4x² + 5x - 21 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 21 = - 84 and sum = + 5
The factors are + 12 and - 7
Use these factors to split the x- term
4x² + 12x - 7x - 21 = 0 ( factor the first/second and third/fourth terms )
4x(x + 3) - 7(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(4x - 7) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
4x - 7 = 0 ⇒ 4x = 7 ⇒ x =
Final answer:
You can find the zeros of the function f(x) = 4x² + 5x - 21 by setting the function equal to zero and solving for x using the quadratic formula. Upon solving, you get the zeros as -7/4 and 3.
Explanation:
To find the zeros of the quadratic function f(x) = 4x² + 5x - 21, you need to set the function equal to zero and solve for x. This means solving the equation 4x2 + 5x - 21 = 0. This is a quadratic equation that can be solved using the quadratic formula, x = [-b ± √(b² - 4ac)] / (2a).
Here, a = 4, b = 5, and c = -21. Substituting these values into the quadratic formula gives us x = [-5 ± √((5)² - 4*4*(-21))] / (2*4). Simplifying yields x = {-7/4, 3}.
Learn more about Finding Zeros of a Quadratic Function here:
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