Answer:
Slope: 4
Y-intercept: -5
Equation: y=4x-5
Step-by-step explanation:
Slope formula:
So let's use the ordered pairs (1, -1) and (2,3) from the table (it doesnt matter which ones you choose) and plug the numbers in to the formula:
Which is equal to:
Which is equal to 4. So the slope is 4.
To find the y-intercept, substitute the slope and an ordered pair into the slope-intercept equation, y=mx+b. So let's use (1,-1).
-1=4(1)+b
= -1=4+b
= -1-4=4-4+b
= -5=b
So the y-intercept is -5.
Then for the equation, you just plug in the slope and the y-intercept into y=mx+b, which would be:
y=4x-5
Answer:
y = -1/5x + 19/5 or
x + 5y = 19.
Step-by-step explanation:
The slope of the line (m) = (5-3) / (-6-4)
= -1/5.
Using the point-slope form of the equation of a line:
y - y1 = m(x - x1) m = -1/5. x1 = 4 and y1 = 3 , so:
y - 3 = -1/5(x - 4)
y - 3 = -1/5x + 4/5
y = -1/5x + 19/5 which is the equation in slope-intercept form.
Converting to standard form ( multiplying by 5):
5y = -x + 19
x + 5y = 19.
Answer:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
Step-by-step explanation:
There are two inequalities in mind, the first of the surface and the second of the price. Always bearing in mind that the minimum are 50 of A and 20 of B.
The first
A occupies 1/2 m and B occupies 1/2 m of surface, and the limit is 100 m of surface. Thus:
(1/2) * A + (1/2) * B <= 100; for A => 50; for B => 20
The second:
A costs 5,000 and B costs 30,000, and the limit is 1,500,000. Therefore:
(5000) * A + (30000) * B <= 1500000; for A => 50; for B => 20
Answer:
618 birds.
Step-by-step explanation:
Let the estimated number of birds=x
Out of x birds, he tied a belt around the legs of 40 birds.
When he observed 520 birds, 34 of which had belts.
Expressing each as a ratio
Cross Multiply
34x=520X40
x=520X40÷34=611.7≈618
There are an estimated 618 birds.
