A group of mountain climbers begin an expedition with 270 pounds of food. They plan to eat a total of 15 pounds per day. Write a
2 answers:
Answer:
Equation : 15x = 270
Where, x = number of days,
Their food will last in 18 days.
Step-by-step explanation:
Given,
Total food = 270 pounds,
Consumption of food per day = 15 pounds
Let x be the number of days,
Then, consumption of food in x days = 15x
∵ Total food will last,
If total consumption = total food
⇒ 15x = 270
Which is the required equation,
Divide both sides of the equation by 15,
We get,
x = = 18
Hence, their food will last in 18 days.
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To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)
Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1
So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.
I've added a pic of the line with both points under the answer.
Hope this Helps! :)
m = (yB-yA) / (xB-xA)
Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1
So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.
I've added a pic of the line with both points under the answer.
Hope this Helps! :)
Given:
The function is:
It is given that -1 is a zero of the given function.
To find:
The other zeroes of the given function.
Solution:
If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.
It is given that -1 is a zero of the given function. So, is a factor of the given function.
We have,
Split the middle terms in such a way so that we get (x+1) as a factor.
Again splitting the middle term, we get
For zeroes, .
and
and
and
and
Therefore, the other two zeroes of the given function are and
.