Answer:
=
Step-by-step explanation:
Answer:
Number of 12$ Shares? 25
Number of 14$ Shares? 57
Step-by-step explanation:
Let x = number of $12 shares.
Let y = number of $14 shares.
"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098
The number of $14 shares is seven more than twice the number of $12 shares.
y = 2x + 7
We have a system of equations.
12x + 14y = 1098
y = 2x + 7
We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.
12x + 14(2x + 7) = 1098
12x + 28x + 98 = 1098
40x = 1000
x = 25
There are 25 $12 shares.
y = 2x + 7 = 2(25) + 7 = 57
There are 57 $14 shares.
Check:
25 × $12 + 57 × $1`4 = $300 + $798 = $1098
The total value is correct, so the answer is correct.
Answer:
C) (y - 1)(y - 5)
Step-by-step explanation:
Hi there!
First you separate your expression into groups.
Now we take the common multiple out of each.
Since we have two (y - 5)s, we can pull it out of the equation as its own common multiple.
After we do that, we are left with y - 1. (we got this from taking the common multiples out)
Now we are just left with (y - 5)(y - 1)
Hope this helped!
-11x² + 2x = 10
-11x² + 2x - 10 = 10 - 10
-11x² + 2x - 10 = 0
x = <u>-(2) +/- √((2)² - 4(-11)(-10))</u>
2(-11)
x = <u>-2 +/- √(4 - 440)</u>
-22
x = <u>-2 +/- √(-436)
</u> -22<u>
</u>x = <u>-2 +/- 2i√(109)
</u> -22
x = <u>-2 + 2i√(109</u>) x = <u>-2 - 2i√(109)</u>
-22 -22
x = ¹/₁₁ - ¹/₁₁i√(109) x = ¹/₁₁ + ¹/₁₁i√(109)
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