Answer:
Greatest number of flowers that can be used in a bouquet is 8.
Step-by-step explanation:
In this question greatest number of flowers used in a bouquet will be decided by the "Greatest Common Factor" of the numbers of the flowers given.
So, factors of 16 = 1×2×2×2×2
Factors of 8 = 1×2×2×2
Factors of 32 = 1×2×2×2×2×2
Common factors = 1×2×2×2
Greatest Common Factor of these numbers will be = 1×2×2×2 = 8.
Therefore, greatest number of flowers that could be in a bouquet is 8.
Let x and y be your two consecutive whole numbers
x < sqrt(142) < y
x^2 < 142 < y
So, we are looking for x and y such that x^2 < 142 and y^2 > 142.
The closest squared number to 142 is 144 = 12^2.
Next is 11^2 = 121.
11 and 12 are consecutive.
11^2 = 121 < 142 < 144 = 12^2
Thus, 11 and 12 are your numbers
Answer:
-4d-18
Step-by-step explanation:
Combine like terms:
-2d and -2d can combine since they have the same variable of d creating the term of -4d and -9 and -9 can combine to create -18. Put those together and you get the answer above.
Answer:
f(2) = 0
Step-by-step explanation:
Function f(t) is defined in three different ways depending on the value of t.
For t = 8, function f(t) is -64/t.
For t = 10, function f(t) is 14 - t.
We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.
f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.
f(2) = 2^2 - 3(2) + 2
f(2) = 4 - 6 + 2
f(2) = 0
The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation: f(z)=20+5z
Step-by-step explanation:
Given,
Delivery cost of 6 floral arrangements = $50.00
Delivery cost of 12 floral arrangements = $80.00
Let,
x be the constant rate for each floral arrangement.
y be the initial value.
According to given statement;
6x+y=50.00 Eqn 1
12x+y=80.00 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 6
Putting in Eqn 1;
The constant rate for 1 floral arrangement is $5.00 and inital value is $20.00
Equation for the function;
Let z be the number of floral arrangements.
f(z) = initial fee + 5*Number of floral arrangements
f(z) = 20+5z
Keywords: function, subtraction
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