Find the zeros of f(x) = 4x2 + 5x - 21. {-7/4, 3} {7/4, -3} {3/4, -7}
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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The value of the fraction is 1/4
How to determine the fraction
First, we should know that fractions are defined as the part of a whole number, a whole variable or a whole element.
The different types of fractions are;
- Simple fractions
- Improper fractions
- Proper fractions
- Complex fractions
- Mixed fractions
From the information given, we have that;
0. 25
Find tje denominator
25/100
Divide into simpler terms, we get;
1/4
Learn about fractions at: brainly.com/question/78672
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Answers
Answer:
4s - 10
Step-by-step explanation:
just trust me im correct
Answer:
778
Step-by-step explanation:
Answers
b)3+9i
c)7+16i
d)-1+2i
Answers
Answer:
i strongly believe the answer is (c)
Step-by-step explanation:
Answers
6/2*3 / 3(3)
First simplify the numerator: 6/2*3 = 3*3 = 9
Next simplify the denominator: 3(3) = 3*3 = 9
So you have 9/9, which equals 1.
The 3rd answer is correct.
First, simplify. Combine each term. Remember to follow the Left to right rule
6/2 = 3 x 3 = 9
3 x 3 = 9
Finally, divide
9/9 = 1
(C)1 is your answer
hope this helps
please help this is all they gave me
Answers
Answer:
In the trapezoids ABCD and RSPQ,
Angles A, B, C and D are corresponding to the angles R, S, P and Q respectively,
Also, the sides AB, BC, CD and DA are corresponding to the sides RS, SP, PQ and QR respectively.
Since, when two figures are congruent to each other then their corresponding sides and angles are also congruent.
Here, trapezoids ABCD and RSPQ are congruent.
Therefore, AB≅RS, AB≅RS, AB≅RS, AB≅RS
And, ∠A ≅ ∠R, ∠B ≅∠S, ∠C≅∠P, ∠D≅∠Q