Hello There!! (:
I'm Here to help!
If we say Kelly orders 1 chicken salad, then it means she ordered 5 egg salads.
If she ordered x chicken salads, then she'll have to order the rest, which is <span>(6−x)</span> egg salads.
For first equation, let's set y to be the meal's price. It consist of the price of all chicken salads ordered and the price of all egg salads ordered:
<span>y=5x+4(6−x)</span>
Again, x represents number of chicken salads ordered, and y represents the meal's price.
A second equation would come to limit the price to the money Kelly has:
<span>y≤28
</span>
Notice there are more constraints to add on the values (x cannot be negative, no such thing negative number of salads or fractional number of salads) so just keep that in mind.
Now, since we know the price based on the number of chicken salads, we can say for what number of salads it matches the second restriction:
<span><span><span>5x+4(6−x)≤28</span><span>5x+24−4x≤28</span><span>x≤28−24</span><span>x≤4
Does this help you?
I Sure hope so have a goodnight ! (:
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Answer:
The initial value in the word problem is the output value when input value is set to zero.
Step-by-step explanation:
- In the question, it is given that a problem uses a linear function.
- It is required to explain how to interpret the initial value in a word problem.
- In order to find the initial value in a world problem, find the output value when input value is set to zero.
- If the initial value is marked as b for a linear function f(x), find it as follow,
We want to see how many solutions has an equation given some restrictions on the vectors of the equation.
We have 3 vectors in R2.
v₁, v₂, and v₃.
Where we know that v₁ and v₂ are parallel. And two vectors are parallel if one is a scalar times the other.
Then we can write:
v₂ = c*v₁
Where c is a real number.
Then our system:
x*v₁ + y*v₂ = v₃
Can be rewriten to:
x*v₁ + y*c*v₁ = v₃
(x + y*c)*v₁ = v₃
Assuming x, y, and c are real numbers, this only has a solution if v₁ is also parallel to v₃, because as you can see, the equation says that v₃ is a scallar times v₁.
Geometrically, this means that if we sum two parallel vectors, we will get a vector that is parallel to the two that we added.
If you want to learn more, you can read:
brainly.com/question/13322477
