Answer:
D
Step-by-step explanation:
In order to solve this we need to plug in the answer choices and make sure they work for BOTH answers!
Let us start with option A. (6,3) 3 = 4(6) + 6 = 3 = 30 This is automaticly wrong because 3 doesnt equal 30. There is no need to try it on the second equation since the first one was wrong.
Next answer choice, B (3,6) 6 = 2(3) = 6=6. The second equation works perfect for this. Now we have to make sure that it works for the first one as well. 6 = 4(3) + 6 = 6 = 18 which is wrong.
Next, C. (1,2) 2 = 2(1) = 2=2 Right now lets check the other equation.
2 = 4(1) + 6 = 2=10. Wrong
Last, D. (-3, -6) -6 = 2(-3) = -6 = -6 Right now lets check the other equation.
-6 = 4(-3) + 6 = -6 = -6. CORRECT. Answer choice D works for both equations.
Sorry for the wait of response.
D is the answer because the villagers thought he was a liar
Answer:
16 and 48
Step-by-step explanation:
let the 2 integers be x and 3x ← ratio 1 : 3
Then
3x - x = 32 ← difference between the integers
2x = 32 ( divide both sides by 2 )
x = 16
and 3x = 3 × 16 = 48
Since magnitude of difference is 32
We can also express the difference as
x - 3x = 32
- 2x = 32 ( divide both sides by - 2 )
x = - 16
and 3x = 3 × - 16 = - 48
The 2 integers are 16 and 48 or - 16 and - 48
Answer:
5y + 7
Step-by-step explanation:
Given:
Seeds planted in one garden = y vegetable seeds
Seeds planted in another garden = 4y + 7 vegetable seeds
To Find:
The number of seeds Val is going to plant = ?
Solution:
Let the total number of seeds that Val is going to plant be x.
Then
x = number of seeds planted in garden one + number of seeds planted in the other garden
Now substitute the values, we get
x = y + (4y+7)
x = 5y + 7
Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)
