1 Chicken have = 2 legs
1 Cow have = 4 legs
No of cows = x
No of chickens = y
Total no of legs = 4x + 2y = 210.............(1)
Total No of heads = x + y = 84................(2)
x = 84 - y....( from (2) )
Substituting the above equation in (1)
4 ( 84 - y) + 2y = 210
336 - 4y + 2y = 210
336 - 2y = 210
-2y = -126
= y = 63
No of cows = 84-63 = 21
∴ <u><em>Total no of cows = 21</em></u>
<u><em>Total no of chickens = 63</em></u>
Answer:
The polynomial function is
Step-by-step explanation:
A polynomial has roots such that .
In this problem:
The roots are and
Then
The polynomial function is
Answer:
13. A
14. C.
Step-by-step explanation:
A relation is a function if there is only one y assigned to each x.
That is if you have a set of points, there should be no repeated x value.
So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.
The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.
The y-intercept is where the graph goes through the y-axis at. It goes through at -1 so b=-1.
The slope is rise/run. So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works. You can do the counting if you want. You could also use the slope formula.
To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.
(0,-1)
-(3,1)
--------
-3 -2
So the slope is -2/-3 or just 2/3.
So the equation is y=2/3 x-1
C.
The equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210
<h3>Linear equation</h3>
From the question, we are to write an equation for the given problem
From the given information,
n = Tom's weight in pounds
If Jim weighs 30 pounds less than Tom
Then,
Jim weighs (n - 30)
Thus,
The sum of their weight is
(n-30) + n
∴ (n-30) + n = 210
Hence, the equation that represents the given problem is (n-30) + n = 210. The correct option is the first option (n-30) + n = 210
Learn more on Linear equations here: brainly.com/question/4681624
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The volume of the frustrum is the difference in the volumes of these two pyramids:
<span>30 * 5^2 / 3 - 18 * 3^2 / 3 </span>
<span>= 750/3 - 162/3 </span>
<span>= 250 - 54 </span>
<span>= 196 cubic inches.
</span>
You're Answer is <span>A- 196 cu in.</span>