Answer:
5y+3x=-9
Step-by-step explanation:
Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the <u>slope-intercept form</u> of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.
From this problem, we are given both the slope and the y intercept. We know have the equation:

Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.

This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.

<em>I hope this helps! Please let me know if you have any questions :)</em>
(0.6x^4)(0.2x^6)
<span>
=<span><span>0.6<span>x^4</span></span>*<span>0.2<span>x^6</span></span></span></span><span>
=<span><span><span>0.6*<span>x^4</span></span>*0.2</span>*<span>x^6</span></span></span><span>
=<span><span>(<span>0.6*0.2</span>)</span>*<span>(<span><span>x^4</span>*<span>x^6</span></span>)</span></span></span><span>
=<span>0.12*<span>x^10</span></span></span><span>
=<span>0.12<span>x^<span>10</span></span></span></span>
Number 1 :
Answer: line A
Why: The slope is less steep therefore it would be easier to climb, compared to a steeper elevation like f.
Number 2 :
Answer: line f
Why: The slope of line f is steeper than line a therefore the ball will travel down it faster because there is less time for the ball to travel down it.
Answer:
A. Drink 1
B. Drink 2
Step-by-step explanation:
We are given that,
The quantities of fruit juice in original recipe are:
Apple juice =
= 
Orange juice =
=
= 3
Pineapple juice = 
So, we get that,
The proportion of apple juice to pineapple juice in the original recipe is
=
.
Now, according to the options , we will check which drink have apple to pineapple juice ratio equal to
.
Simplifying the mixed fraction into rational numbers, we get,
Drink A:
=
.
Drink B:
=
.
Drink C:
= 5
Drink D:
=
= 4
Drink E:
=
.
So, we see that,
Drinks A and B have the same proportion of apple to pineapple juice as that of the original recipe.