Answer:
Normally, sequences don't go behind 1, but let's see for this one.
f(-1) = 1
Step-by-step explanation:
Let's sub for -1 in x.
f(-1) = 2(-1) + 3.
f(-1) = -2 + 3
f(-1) = 1
:)
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
7 hours!
Step-by-step explanation:
1) (C): The product is equal to one of the factors.
Note: "2 3/4" * "3/3" = "2 3/4" ; (since "3/3" = "1"); so, 2 3/4 * 1 = "2 3/4" .
The factors are: "2 3/4" and "3/3". The product is: "2 3/4" .
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2) (A): The product is less than each factor.
Note: "3/4" * "4/5" = "(3*4) / (4*5)" = 12/20 = (12÷4) / (20÷4) = 3/5 .
The factors are: "3/4" and "4/5"; or, "0.75" and "0.8" , respectively.
The product is: "3/5" ; or, "0.6" .
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3) (B): The product is greater than each factor.
Note: "2 3/4" * "5" = "13 3/4 ".
The factors are: "2 3/4" and "5" .
The product is: "13 3/4".
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4) (C): The product is equal to one of the factors.
Note: "6/7" * "5/5" = "6/7" ; (since "5/5" = "1"); so, 6/7 * 1 = "6/7" .
The factors are: "6/7" and "3/3". The product is: "6/7" .
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Answer:
2.5v + 5 < 5v is the correct answer.
Step-by-step explanation:
Given that:
Cost to rent one game at store S = $2.50
Monthly fee = $5.00
Let,
v be the number of video games.
Total cost = 2.50v + 5
Cost to rent one game at store T = $5.00
y = 5v
Now,
Store S < Store T
2.50v + 5 < 5v
Hence,
2.5v + 5 < 5v is the correct answer.
