Answer:
3/4x-6=42
x=64
Step-by-step explanation:
Let the number of students be x hence 3/4 of this number will be 3/4x
Since the number was 42 if they were 3/4x less six, it means minus six hence
3/4x-6=42
Therefore, the equation will be
3/4x-6=42
Solving the equation
3/4 x=42+6=48
3/4x=48
X=62
25% is the suggested maximum rate that the experts and financial advisers recommend especially <span>If you’re looking to open new credit card account.</span>
Solution-
89.50/2 = 44.75
44.75 is the amount he spent to buy his nephew the pair of shoes.
Now, we are going to add the amount he spent for himself and his nephew together.
89.50 + 44.75= 134.25
134.25 is the amount he spent in total, now we need to find the final amount with sales tax included.
We can do this by multiplying the total price by .075
134.25 * .075 = 10.07 (I rounded this to the nearest hundredths because we are dealing with money)
Now we need to add the two number together.
134.25 + 10.07 = 144.32
Answer-
The total amount Kyle spent is $144.32
Answer:
8900
Step-by-step explanation:
25 * 89 /
= 25 * 89 * 4 = 100 * 89 = 8900
9514 1404 393
Answer:
- real: -1, 2; complex: +i, -i
- 1, 3, 4
Step-by-step explanation:
1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.
The linear factorization is ...
f(x) = (x +1)(x -2)(x -i)(x +i)
The roots are -1, 2, -i, +i.
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2. The graph (blue) shows the zeros are 1, 3, 4.
You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as
(x -3)(x -4) . . . zeros of 3 and 4
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I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.