(5x^3 + 4)(25x^6 - 20x3 +16) remember factoring the cubes?
To solve this problem, we should set up a proportion, letting x represent our unknown number of miles that Wayne walks in one hour.
1/6 mile / 1/10 hours = x miles / 1 hour
Now we use cross-products or the multiplication of the numerator of one fraction times the denominator of the other fraction, setting these two numbers equal. The resulting equation is:
1/6 = 1/10x
Finally, we must divide both sides by 1/10 to cancel it out on the right side of the equation and get the variable x alone.
x = 5/3 or 1 2/3
Therefore, Wayne walks 1 2/3 miles per hour.
The cost of bananas = $ 3.48
This can be written as :
this number written in expanded notation as : (3 × 1) + (4 × 0.1) + (8 × 0.01)
3+0.4+0.08 = 3.48
Hence, 1st option is correct.
Answer:
a = 0.25
Step-by-step explanation:
Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:
from x=0 and y=-3 a*0 + b* 0 + c = - 3
c = -3
from x=1 and y= -3.75
a*(1) + *(1) + (-3) = -3.75
a + b = -3.75 + 3 = -0.75
from x= 2 and y = -4
a* (2)^2 + b*(2) + (-3) = -4
4a + 2b = -4 +1
4a + 2b = -1
Now we can solve the system f equations by elimination:
a + b = -0.75
4a + 2b = -1
multiply first equation by -2 and add to the second and get
-2a - 2b = +1.50
4a + 2b = -1
2a = 0.50 and substituting into any of the equations get b = -1
so the quadratic equation has a= 0.25 b= -1 c= -3
we can even plug the any of the other values for x given in the table and check the answer.
See attached picture and check solution below.
We are given with the following values:
A = length of transmission line = 96ft
B = length of shadow = 72 feet
C = distance of ladder to base of transmission line = 66 feet
Solve for angle created between the wire and tip of the shadow:
tan x = opposite/ adjacent
tan x = 96 feet / 72 feet
x = 53.13°
Solving for the height of the ladder:
tan x = Ladder length / (72-66)
tan 53.13° * (72-66) = ladder length
ladder length = 8 feet
The answer is letter "B" which is 8 feet.
