Answer:
x • (2x + 5)
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((6x + 3x2) - x) - x2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x2 + 5x = x • (2x + 5)
So hmmmmm, notice... the boat went up in 3hrs, came back to the starting point in 2hrs, it went up 108km, it came back, well, from 108km to distance 0, so the distance on the way back is just the same 108km
now... let's say the stream has a speed rate of "r", and the boat has a still water speed rate of "b"
bear in mind that, when the boat is going UP, is not really going "b" fast, because the stream's "r" rate is going against it, and thus subtracting "r" from "b", so is really going " b - r " fast
when the boat is going down, is not going "b" fast either, because, again the stream's rate "r" is adding to it, because is going with the current, so is really going " b + r " fast
now, recall your d =rt, distance = rate * time
solve for "r"
what's b? well, 36+ r = b
Solving the inequality we get
Step-by-step explanation:
We need to solve the inequality:
Solving:
Adding -4 on both sides:
Divide both sides by -7 and reverse the inequality:
So, solving the inequality we get
Keywords: Solving inequalities
Learn more about Solving inequalities at:
#learnwithBrainly
Answer:
79.1 ft
Step-by-step explanation:
Draw a vertical segment about 3 inches tall. Label the upper endpoint A and the lower endpoint B. That is the cell phone tower. Starting at point B, draw a horizontal segment 1 inch long to the right. Label the right endpoint C. Connect C to A with a segment.
Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.
You are looking for the length of segment AC, the guy wire length.
Triangle ABC is a right triangle with right angle B.
Sides AB and BC are the legs, and side AC is the hypotenuse.
We can use the Pythagorean Theorem:
(leg1)^2 + (leg2)^2 = (hyp)^2
Let one leg be a, the other leg be b, and let the hypotenuse be c.
Then you have
a^2 + b^2 = c^2
We have a = 75 ft
b = 25 ft
We are looking for c, the length of the hypotenuse.
(75 ft)^2 + (25 ft)^2 = c^2
5625 ft^2 + 625 ft^2 = c^2
6250 ft^2 = c^2
c^2 = 6250 ft^2
Take the square root of both sides.
c = 79.0569... ft
Answer: 79.1 ft
Answer: it will take 43.25 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $1000
A = $10450
r = 5.5% = 5.5/100 = 0.055
n = 2 because it was compounded 2 times in a year.
Therefore,.
10450 = 1000(1 + 0.055/2)^2 × t
10450/1000 = (1 + 0.0275)^2t
10.45 = (1.0275)^2t
Taking log of both sides, it becomes
Log 10.45 = 2t log 1.0275
1.019 = 2t × 0.01178 = 0.02356t
t = 1.019/0.02356
t = 43.25 years