If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is
. Now we will multiply in that last factor of (x-4):
. FOILing out we have
. There you go!
Answer:
Some.
Terms that include a number and a letter are expressions.
Answer:
1. 450
2. 8(12)+3(2.50)
3. 10
4. 32
Step-by-step explanation:
1. 700-250=450
2. 8 people going to the theater. If tickets cost $12 each, you multiply 8 by 12 to get the ticket cost. If 3 people ordered drinks and drinks cost $2.50, you multiply 3 by 2.50 to get the drink cost. Since this is asking for the total cost you add your first 2 answers to get the final cost.
3. 12/3=4, which means one pound costs $4. To find the amount bought with $40, divide 40 by 4, which equals 10 pounds.
4. To find percents, you turn your percentage into a decimal by dividing by 100. (400/100=4), then you multiply that by the number you are trying to find a percentage of(8x4=32). This gives you the answer 32.
Answer:
-1 i hope this helps! :)
Step-by-step explanation:
you are given both 10b + 19 and b = -2
lets plug in the value of b
10b(-2) + 19
multiply the 10b and the -2
-20b + 19
-20 + 19 = -1
-1
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