Answer:
Step-by-step explanation:
GIVEN: A fence is to be built to enclose a rectangular area of square feet. The fence along three sides is to be made of material that costs dollars per foot, and the material for the fourth side costs dollars per foot.
TO FIND: Find the dimensions of the enclosure that is most economical to construct.
SOLUTION:
Area of rectangular fence
let the length of fence
let the width of fence
let be the smaller side
Area of rectangular fence enclosure
cost of fence along three sides
cost of fence along fourth side
length of fence
cost of fence building
putting value of
to find minimum value differentiating the equation
Hence the dimensions of the enclosure that is most economical to construct are and
<span>6*5.4*10^(-4)
=32.4*10^(-4)
move the decimal point, in scientific notation you only have a single digit with comma
=3.2*10^(-3)
so option A
to know if you have to increase or decrease the exponent you can write the intermediary steps out:</span>
32.4*10^(-4)=32.4/10^4=<span>(3.24*10)/(10*10^3)
reduce the fraction and you have the above solution
</span>
Answer:
An egg and cheese biscuit was $3.65.
Step-by-step explanation:
Liam's breakfast was:
Where:
P: total price
E: egg
C: cheese biscuit
M: carton of milk
(1)
Now, Finn's breakfast was:
(2)
By subtracting equation (2) from (1) we have:
Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:
Therefore, an egg and cheese biscuit was $3.65.
I hope it helps you!
Answer: I don’t think there is such a line. A Line that passes through the point (3,-9) must have a positive slope, unlike the line y=-5x-2, which has a negative slope. If a line where to go through (3,-9), is would intersect the line you presented.