The school made $2800 on the school carnival the second and fifth grade classes each made only $200 the kindergarten and fourth
1 answer:
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Using a system of equations, it is found that:
- 38% consumes vanilla.
- 14% consumes strawberry.
- 45% consumes chocolate.
In our system, we have that:
- x is the percentage of vanilla.
- y is the percentage of strawberry.
- z is the percentage of chocolate.
Those 3 compromise 97% of the flavors, hence:
Vanilla sells <u>10% more than twice strawberry</u>, hence:
Chocolate sells <u>7% more than vanilla</u>, hence:
Since
Replacing in the first equation, we can solve for y:
With y, we can solve for x and for z.
Hence:
- 38% consumes vanilla.
- 14% consumes strawberry.
- 45% consumes chocolate.
A similar problem is given at brainly.com/question/24778333
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.
