Answer:
x1=(7-√65)/2
x2=(7+√65)/2
Step-by-step explanation:
x^2=7x+4
x^2-7x-4=0
D=(-7)^2-4*1*(-4)=49+16=65
x1=(-(-7)-√D)/(2*1)=(7-√65)/2
x2=(-(-7)+√D)/(2*1)=(7+√65)/2
Answer:
$0.40
Step-by-step explanation:
Divide for unit price:
3.99/10=.399
Round:
Since .399 is not a price we round up to $0.40
Hope this helps u
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Answer:
a = 4, b = 8
Step-by-step explanation:
Rewrite 5b=6a+16 and 9a=7b-20 vertically:
5b=6a+16
9a=7b-20
Let's use substitution. Solve the first equation for b:
6a + 16
b = --------------
5
Substitute this result into the second equation:
9a = 7(b) + 16, or
6a + 16
9a = 7*-------------- - 20
5
Eliminate the fraction by multiplying all three terms by 5:
45a = 7(6a + 16) - 100, or
3a = 112 - 100, or:
3a = 12, which leads to a = 4.
Find b by subbing 4 for a in either of the given equations:
5b = 6(4) + 16, or
5b = 40, leading to b = 8
The solution is a = 4, b = 8
It would be option 2 because -3 is the lowest value and y=Mx+b b is the y intercept
The polynomial function p(x) = x³ - 7x + 6 divided by x - 2 = x² + 2x - 3
<h3>Synthetic Division of Polynomials</h3>
Synthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor. One of the advantages of using this method over the traditional long method is that the synthetic division allows one to calculate without writing variables while performing the polynomial division, which also makes it an easier method in comparison to the long division.
We can represent the division of two polynomials in the form:
p(x)/q(x) = Q(x) + R/(q(x))
where,
- q(x) is the linear divisor
The polynomial function p(x) = x³ - 7x + 6 is divided by x - 2
x³ - 7x + 6 ÷ x - 2 = (x - 1)(x + 3)
x² + 3x - x - 3 = x² + 2x - 3
Learn more on division of polynomials here;
brainly.com/question/24662212
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