Answer:
slope is (-7/4) and y-intercept is 7
Step-by-step explanation:
If we convert the equation 7x + 4y = 28 into Slope-intercept form, we can find the slope and the y-intercept.
7x + 4y - 7x = 28 - 7x
4y = 28 - 7x
divide both sides by 4
y = (28 - 7x)/4
y = 7 - 7x/4
slope is (-7/4) and y-intercept is 7
Answer:
f(n) = f(n − 1) ⋅ 0.6 + 20, n > 0
Step-by-step explanation:
Each week 40% of the olive oil bottles were sold. This means, each week 60% of the bottles were left. In addition to these, 20 new bottles arrived in shipments.
So, every week the number of shipments was:
60% of the shipments of previous week + 20
In equation form this can written as:
Shipments in a week = 60% of shipments of previous week + 20
For, nth week we can re-write this equation as:
f(n) = 60% of f(n - 1) + 20
or
f(n) = f(n - 1) ⋅ 0.60 + 20
For example for first week, replace n by 1 to find the number of shipments in week 1 and same goes for next weeks.
Answer:
1 /8
Step-by-step explanation:
Given that :
Number of sections on spinner = (1,2,3,4,5,6,7,8) = 8
Number of 5's = 1
Recall :
Probability of event A = number required outcome / Total possible outcomes
P(5) = 1/8
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
Answer:
C) 78
Step-by-step explanation:
its technically 77.5714... but rounds to 78, hope that helps
