Answer:
Step-by-step explanation:
536 because it is correct
Answer:
d
Step-by-step explanation:
1.75 ( would be the coffee) + 1.50d (donuts each but an unknown quantity)
total amount must be less than $37 dollars
Your answer would be 37.00 - 1.75 = 35.25 cents
35.25 / 1.50 = 23.5 donuts - you can not purchase a half of a donut so you can buy 1 coffee and 23 donuts for $36.25
Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:
Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:
Thus, 750 lollipops must be sold.
The correct options for the linear combinations of the vectors are given by:
A, B, C, D, E and F.
<h3>What is a span between two vectors?</h3>
The span between two vectors is the set that contains all linear combinations between these two vectors.
Supposing we have two vectors u1 and u2, as is the case in this problem, the infinitely many linear combinations have the following format:
k1u1 + k2u2
In which k1 and k2 are real numbers.
With k1 = 4 and k2 = -7, we get that option A is correct.
For option B, the vector 0 will always be a part of the span, as it can be formed with constants 0, hence it is correct.
The dimension of the span is of 3, as the vectors have 3 elements, hence option C is correct.
The underlying vectors will always also be part of the span, as they can be formed with their constant 1 and the others at 0, hence options D and F are correct.
The size of the span of any vectors is of infinity, hence option E is correct while option G is not.
More can be learned about linear combinations at brainly.com/question/15885826
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Answer:
C: 
or 
Step-by-step explanation:
To solve the equation 
we need to factor it
We are looking for two numbers that when multiplied give -12 and when added give -x
This means that when factored, the equation would be 
Now we can set each of these equal to 0, which means that at
and , the equation will equal 0
