Problem 1) xy means "x times y". The multiplication symbol is left out because its implied. You can write x*y if you wish. Or we can say "product of two numbers" since a product in math terms is the result of multiplication.
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Problem 2) x/y means "x divided by y" which is a fraction
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Problem 3)
Writing "x-y" is the same as saying "x minus y"
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Problem 4)
x+y is "x plus y", or we can say "the sum of x and y". The "sum" is "result of adding two or more values"
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Problem 5)
y-x is "y minus x" or we can say "x subtracted from y"
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Problem 6)
y division symbol x is essentially the flip of problem 2. We'd say "y divided by x"
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Problem 7)
x+y = 6 is "the sum of two numbers is 6". See problem 4 above.
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Problem 8)
xy = 6 is "the product of two numbers is 6". This is an extension of problem 1.
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Problem 9)
6x = y is "six times a number equals y" when translated out
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Problem 10)
y = x-6 would translate to "six less than a number is y"
where the "a number" portion is represented by x
Answer:
(1,-3) and (4,-6)
Step-by-step explanation:
The solutions are where the linear line intersects the graphed parabola.
Answer:
He lost 105 points from his 400
Step-by-step explanation:
3 spaceships lost, 35 points subtracted for each spaceship aka (3 times 35) and subtract that from his earned score.
400-105=295
Answer:
i) 1.25m
ii) 32 books
Step-by-step explanation:
60 identical books occupies = length of 1.5m
(i) the length occupied by 50 such books on
a shelf,
If:
60 books = 1.5m
50 books = y m
60 × ym = 1.5 × 50
ym = 1.5 × 50/60
= 1.25 m
Therefore, 50 of such books occupies a length of 1.25m
(ii) the number of such books needed to completely
occupy a shelf that is 80 cm long.
100 cm = 1m
80 cm = x m
Cross Multiply
xm = 80/100
= 0.8 m
If : 1.5 m = 60 books
0.8 m = y books
Cross Multiply
= 1.5m × y books = 60 books × 0.8m
y books = 60 books × 0.8m/1.5m
y books = 32 books
Therefore, 32 books occupies a shelf that is 80 cm or 0.8 m long
Answer:
Step-by-step explanation:
Normally, in a problem like this one, you'd be given a couple of x-values at which to evaluate the function. Since you didn't do that here, I'll just invent a few: {-1, 0, 7, 11}.
For x = -1: substitute -1 for x in f(x) = x^2 -3x+2: f(-1) = (-1)^2 - 3(-1) + 2 = 6:
f(-1) = 6
Next:
f(0) = 0 - 0 + 2 = 2, so f(0) = 2
For x = 7, substitute 7 for x in f(x) = x^2 -3x+2: f(7) = 49 - 21 + 2 = 30 = f(7)
For x = 11, f(11) = 121 - 33 + 2 = 90 = f(11)