What are the values of c makes x^2 + 6x + c a perfect square trinomial? 3
6
9
12
Answers
As per the given data, he value of c that makes a perfect square trinomial is c = 9.
What is trinomial?
A trinomial is a polynomial composed of three terms or monomials in elementary algebra.
To determine the value of c that makes a perfect square trinomial, we need to use the formula:
In this case, we want to find two numbers a and b such that:
Expanding the right-hand side, we get:
Comparing the two expressions, we see that:
The linear coefficient of x is 2a
The constant term is
Therefore, we need to find a number a such that 2a = 6 and a^2 = c. Solving for a, we get a = 3, and substituting into a^2 = c, we get c = 9.
Therefore, the value of c that makes a perfect square trinomial is c = 9.
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Answer:
c = 9
Step-by-step explanation:
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Answers
Martha estimated there were 95 marbles in a jar for a contest. The actual number of marbles in the jar was 117. What was the percent error of Martha's estimation?
22%
81.20%
23.16%
18.80%
Answers
Answers
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Answers
Answer:
10 + (m + n)
Step-by-step explanation:
"Ten more..."
10 +
Since it is "ten more", then the variable must be added by 10.
"...the sum of m and n"
(m + n)
The sum means that two variables add together.
Conjoining two symbols create:
10 + (m + n)
Answers
Answers
Simplify
-4x(3x^2-2x+1)
Answer:
-12x^3+8x^2-4x
Question 76:
(2x-6)(x+1)
Answer:
2x^2-6x+2x-6=2x^2-4x-6
Question 77:
8x^4+2x^3-4x^2
Answer:
GCF (Greatest Common Factor)
2x^2(4x^2+x-2)
GCF=2x^2
Question 78:
25x^8+15x^5
Answer:
5x^5(5x^3+3)
Question 79:
(x-4)(x+2)
Answer: x^2-2x-8
Question 80:
2x^2+7x+6
Factors: (2x+3)
Answer:
(2x+3)(x+2)
Other Factor:
(x+2)
Question 81:
(2x-1)^2
Answer:
4x^2-4x+1
Question 82:
4x^2-25
Answer:
(2x-5)(2x+5)
Question 83:
x^3+27
Answer:
(x+3)(x^2-3x+9)
Question 84:
x^3-125
Answer:
(x-5)(x^2+5x+25)
Question 85:
x^2=121
x=square root of 121
Answer:
x=11, -11
Question 86:
(x+3)(x+7)=0
Answer:
x=-3,-7
Question 87:
x^2-16=0
(x-4)(x+4)=0
Answer:
x=-4,4
Question 88:
x^2-3x-40=0
(x-8)(x+5)=0
Answer:
x=8,-5
Question 89:
x^2+3x+?
Answer:
x^2+3x+9/4
(x+3/2)(x+3/2)
9/4
Question 90:
x^2+5x=-1
x^2+5x+25/4=-1-25/4
(x+5/2)^2=the square root of -29/4
x+5/2=(square root of -29)/2
Answer:
x=(-5+ or - the square root of -29)/2
Question 91:
x^2+2x+c=0
1 real solution
Answer:
c=1
Question 92:
Use quadratic formula.
2x^2-4x+1=0
x=-b+ or - (the square root of b^2-4ac)/2a
x=4+ or - (the square root of 16-8)/4
x=4+ or - (the square root of 8)/4
x=+ or - 2 rad 2
Question 93:
y=2x^2
Answer:
y=1/2x^2
When the factor of x decreases, the graph widens.
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Answer:
Step-by-step explanation: