Answer:
Expression: Y = -10/3 X
Y = 10/3
Step-by-step explanation:
If Y varies directly as X, then;
Y∝X
Y = kX
k is the constant of variation
If Y = 10 and X = -3
10 = -3k
k = -10/3
Substitute k = -10/3 into the expression Y = kX
Y = -10/3 X
This gives the required expression
To get the value of Y when X = -1
Recall that Y = kX
Y = -10/3 (-1)
Y = 10/3
Hence the value of Y is 10/3
Answer:
1,805 kg.
Step-by-step explanation:
We have been given that in 2010, the world's largest pumpkin weighed 1,810 kilograms. An average-sized pumpkin weighs 5,000 grams. We are asked to find the how much the world's largest pumpkin weighs than an average pumpkin.
First of all, we will convert the weight of average pumpkin in kilograms by dividing 5,000 by 1000 as 1 kg equals 1,000 gm.



Now, we will subtract the weight of average pumpkin from world's largest pumpkin's weight.

Therefore, the 2010 world-record pumpkin weighs 1,805 kilograms more than an average-sized pumpkin.
8) C
9) A
10) B
11) C
Hope i could help
Answer:
f^-1 (x) = (1 - x)/3.
Step-by-step explanation:
f(x) = -3x + 1
3x = 1 - f(x)
x = (1 - f(x)) / 3
So f^-1 x = (1 - x)/3.
Answer:
false
Step-by-step explanation:
No, two acute angles cannot form a supplementary angle. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. ... Example: 80° +60° = 140° which is not a supplementary angle. But, in the case, if we add more than two acute angles, we can get supplementary angles.