Answer:
B) 8:9
Step-by-step explanation:
Please refer to the attached image for explanations
Hello :
look : x-intercept
f(x) = 0 has :
1) one solution
2) two solutions
3) no solutions
Answer: 3000 square feet
15 is 3 times 5
So multiply 1000 by 3
<h3>
Answer: 16 miles</h3>
==========================================================
Explanation:
x = time in hours spent going upstream
5-x = remaining time in hours spent going downstream
Those two quantities add to 5 hours total.
Let's find the expression for how far the fisherman went upstream
distance = rate*time
d = r*t
d = 2x
Do the same for the downstream portion
d = r*t
d = 8(5-x)
d = 40-8x
The values of d refer to the same distance because he came back to the starting point.
Set those right hand sides equal to one another and solve for x.
2x = 40-8x
2x+8x = 40
10x = 40
x = 40/10
x = 4
5-x = 5-4 = 1
He spent 4 hours going upstream, and the remaining 1 hour coming back downstream.
--------------
If he spent 4 hours going upstream at 2 mph, then he traveled d = r*t = 2*4 = 8 miles.
The remaining 1 hour going downstream at 8 mph means he traveled d = r*t = 8*1 = 8 miles, which matches with the previous result. This confirms we have the correct one-way distance of 8 miles.
Therefore, the total round trip distance is 2*8 = 16 miles
Answer:
a)4080 trees
b)104 trees
Step-by-step explanation:
<u>1st - 24 trees</u>
<u>last (40th) - 180 trees</u>
If differences between any row (except 40th) and next row are equal then
<u>2nd - 24 trees+X</u>
<u>3rd - (2nd+X) or 24 trees + 2X</u>
coefficient of X is <u>number of row minus 1</u>, therefore 40th row has <u>24 trees + 39X</u>, and it is equal to <u>180</u>. We can make an equation from this:
<u>24tr+39X=180tr</u>
<u>39X=156tr</u>
<u>X=4tr</u>
By this we can find how many trees are there in the 21st, 21st row has 24 trees+20X=24 trees+80 trees=104 trees
To find how many trees are there in the whole orchard, we add them all:
<u>1st - 24 trees, 2nd - 24 trees + X, 3rd - 24 trees + 2X,</u>
easily, it is just <u>24 trees x 40 + 39X x 20 = 4080 trees</u>