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Find the quadratic equation whose roots are 3+- i / 2
33 POINTS PLZ. Solve the following equations. a) 2x + 8 = x + 25 + 8 b) 3x + 23 = 2x + 59 c) 5 + 12 = 17 d) 2x - 4 = x + 9 e) 5x - 10 = 4x - 12
H(x)=(x^2)+1 and K(x)=-(x^2)+4. If K(H)=0, what are the roots/solutions?a. ±i√3 b. ±i c. ±2 d. ±1 e. ±1, ±i√3
Making Consumer ChoicesI. The Bread Machine (25 points)r /> In real life, you must often make choices about whether to buy something pre-made or make it yourself. There are many things to consider: quality of homemade vs. bought, expense, convenience, enjoyment of making something, etc. In this response, you will be looking at the choice of buying a bread machine or relying exclusively on store bought bread.A. The bread machine you are interested in costs $100 with tax. The ingredients to make one loaf of bread cost $0.80.What is the rate of cost of one loaf of bread?B. What is your start up cost? (cost of machine)C. Write a linear equation, y = mx + b for the total cost.D. Graph the equation on the graph provided. You may use either Point Plotting or Slope-Intercept. Be sure to locate at least 3 points. You may want to do this in pencil in case you decide to use more points later in the problem.
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The complement of 45° is the angle that when added to 45° forms a right angle (90° ).
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It is a rectangle.
of the 9 volunteers? Is this a combination or a
permutation? Explain.
Answer choices:
a. 84; combination because the order does
not matter
b. 504; combination because the order
does not matter
C. 84; permutation because the winners
are chosen one at a time
d. 504; permutation because the winners
are chosen one at a time
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Answer:
c
Step-by-step explanation:
Final answer:
The $5 gift cards can be given to 3 of the 9 volunteers in 84 different ways.
Explanation:
This is a combination problem because the order in which the gift cards are given does not matter.
To find the number of ways the gift cards can be given to 3 of the 9 volunteers, we can use the combination formula:
C(n,r) = n! / (r!(n-r)!)
In this case, n = 9 (the number of volunteers) and r = 3 (the number of gift cards to be given).
Plugging in the values, we get:
C(9,3) = 9! / (3!(9-3)!) = 84
Therefore, there are 84 ways to give the $5 gift cards to 3 of the 9 volunteers.
Learn more about Combination here:
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-3x + 5x -2 > 8x - 7 -9x
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b. 2/8
c. 1/4
d. 1/8
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To find out if the fractions are equivalent to 1/2 , simply plug the fractions into your calculator
1/2=0.5
2/4=0.5
2/8=0.25
1/4=0.25
1/8=0.125
The decimal form of 2/4 is equal to the decimal form of 1/2, therefore the angles are equivalent.