Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
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2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost per bracelet = 1.50
Cost per necklace = 2.25
Let :
number of necklace = n
Number of bracelet = b
Cost equation C ;
C = 1.5b + 2.25n
Number of necklace that could be sold for exactly $12
5 necklaces and 1 bracelet :
1.5 + 2.25(5) = 12.75
•2 necklaces and 5 bracelets:
1.5(5) + 2.25(2) = 12
• 3 necklaces and 3 bracelets
1.5(3) + 2.25(3) = 11.25
• 4 necklaces and 2 bracelets
1.5(2) + 2.25(4) = 12
• 3 necklaces and 5 bracelets
1.5(5) + 2.25(3) = 14.25
• 6 necklaces and no bracelets •
1.5(0) + 2.25(6) = 13.5
No necklaces and 8 bracelets
1.5(8) + 2.25(0) = 12
Amount charged per Tshirt = c
Setup fee = $40
Number of students in drama club = 21
Total cost of order = $187
Calculate C ;
Total order cost = set up fee + (cost per shirt * number of shirts)
Total order cost = 40 + 21c
187 = 40 + 21c
187 - 40 = 21c
147 = 21c
c = 147 / 21
C = 7
Hence cost per shirt = $7
12 • 4 = 48
25% of his mom's age is benny's age
Answer:
I cant see the photo
Step-by-step explanation: