Answer:
C. f(x) = 3·x + 2, g(x) = 7·x + 6
Step-by-step explanation:
The given equations relates to the property of equality of values;
The given formula for the association between f(x) and g(x) is f(x) = g(x)
The given equation of two expressions is 3·x + 2 = 7·x + 6
By transitive property of equality, the two above equations are correct when f(x) = 3·x + 2 and g(x) = 7·x + 6
Therefore, the function that may be used to represent the equation is option C; f(x) = 3·x + 2, g(x) = 7·x + 6.
The Addition Property of Equality justifies Emily's first step. She added 9 to both sides, canceling out the minus 9 while keeping the equation equal.
Answer:
C. (3x2 - 10) (x - 2)
Step-by-step explanation:
3x^2 - 16x +20
Step 1: Sum = - 16x
Product = 60x^2
Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6
Step 3: Replace -16x with the two numbers found in step 2, then you will have; 3x^2 - 6x - 10x + 20
Step 4: Factorise the equation in step 3, like so;
(3x^2 - 6x)(- 10x + 20)
3x(x - 2) -10(x - 2)
(3x - 10)(x - 2)
To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)
If the bracket is opened properly, you will get 3x^2 - 16x + 20
Answer: 130 kg 920 g
Step-by-step explanation:
Given
The weight of the goat is 59 kg 720 g
The combined weight of goat and cow is 190 kg 640 g
Suppose, the weight of the cow is x kg
We know, 1 kg=1000 g
Converting weight into kg
Goat weight
Total weight
Then, the cow weight is given by
Answer:
30 adult tickets and 50 child tickets
Step-by-step explanation:
605 = 8.5a + 7c
80 = a + c
620 = (8.5*40) + (7*40)
605 = (8.5*30) + (7*50)
a = 30 c = 50
