6(t-3)=2(9-2t)=
We move all terms to the left:
6(t-3)-(2(9-2t))=0
We add all the numbers together, and all the variables
6(t-3)-(2(-2t+9))=0
We multiply parentheses
6t-(2(-2t+9))-18=0
We calculate terms in parentheses: -(2(-2t+9)), so:
2(-2t+9)
We multiply parentheses
-4t+18
Back to the equation:
-(-4t+18)
We get rid of parentheses
6t+4t-18-18=0
We add all the numbers together, and all the variables
10t-36=0
We move all terms containing t to the left, all other terms to the right
10t=36
t=36/10
<h2>
t=3+3/5</h2>
Answer:
Range: {0,3,6}
Step-by-step explanation:
The range is the output, or in this case, the y values
Range: {0,3,6}
We must know that the are of the triangle is given by definition by
A = (1/2) * (b) * (h)
where
b = base
h = height
Substituting the values
A = (1/2) * (x) * (1 + 6x)
A = (1/2) * (x + 6x ^ 2)
Since the area is 13 then
(1/2) * (x + 6x ^ 2) = 13
Clearing x we have
6x ^ 2 + x = 26
6x ^ 2 + x-26 = 0
(x-2) * (x + 13/6) = 0
As we look for the base of a triangle then x> 0
x = 2
answer
the base is x = 2
6x ^ 2 + x = 26
Answer:
Step-by-step explanation:
Comment
The first step is to find the surface area of 1 fence post.
The formula is
Area_ends = 2 pi r^2 for the ends.
Area_body = 2*pi*r * h
Givens
r = d/2 r is the radius ; d is the diameter
r = 1/2 foot
h = 10 feet
Solution
1 fence post
Area = ends + area body
Area = 2*3.14 * (1/2)^2 + 2 * pi * r * h
Area = 2*3.14* (1/2)^2 + 2 * 3.14 * 1/2 * 10
Area = 1.57 + 31.4
Area = 32,97 square feet.
10 fence posts
10*32.97 = 329.7 square feet
Answer
10 fence posts have 329.7 square feet in area.
Answer:
The approximate solution for f(x)=g(x) is x= -1.
Step-by-step explanation:
Given two functions are f(x) and g(x)
f(x)=
Therefore, f(x)= 2x+1
g(x)=
Therefore, g(x)=
From the given graph we can see that two functions are intersect to each other at points (1.46, 3.92) , ( -0.76, -0.52) and ( -2.7,-4.3).
It means the graph of two functions intersect at
x=1.46
x= -0.76
x=-2.7
The approximate value of
x=1.46=1.5
x=- 0.76=-1
x=-2.7=-3
Hence, f(x)=g(x) at x=-1
<h3>Therefore , the approximate solution is x= -1 for f(x)=g(x) </h3><h3>Hence, option C x=-1 is correct answer.</h3>