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Answer</h3>
Given in the question the equation
y = x² - 2x + 6
Name
a quadratic polynomial or a polynomial of degree 2
Ind. var
An input value of function is the independent value = x
Dep. var
The output value of function is the dependent value, as it depends on the value of the input = y
Rule
a function is a rule that assigns to each input exactly one output.
Evaluation
when x = -3
y = (-3)² - 2(-3) + 6
= 21

Which of the following is not a linear equation in one variable?
a) 33
b) 33(x+y)
c) 33x
d) 33y

- Option <em><u>b) 33 (x + y)</u></em> is not a linear equation in 1 variable.
- Here, we can see that there are 2 variables used ⇨ x & y. Hence, even though it's a linear equation, it's not in 1 variable.
- All the other options are in 1 variable or don't have a variable at all.
Answer:
2c + 3l ≤ 60
No
Step-by-step explanation:
Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.
Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60
We can then plug our values of cotton and linen lace into our equation
12 yards of cotton lace, 15 yards of linen lace
2c + 3l ≤ 60
2(12) + 3(15) ≤ 60
24 + 45 ≤ 60
69 ≤ 60
This is false, so you cannot buy these amounts of lace.
Answer:
Race completed in 48 minutes.
Step-by-step explanation:
Let the speed of Max on hoverboard is = x
Then as per question speed of Victoria on hoverboard = 3x
Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3
Now we will form the equation.
As we know the formula speed = distance/time
Let the time taken by both to complete the race be t minutes.
Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard
Then the equation will be
12(3x)+(1/3)x(t-12)=xt






So 48 minutes it took to complete the race.