Answer:
f(2)=128
Step-by-step explanation:
f(x) = 2(8)^x evaluate f(2)
f(2)= 2(8)^2
f(2)=2(64)
f(2)=128
Answer:
1st One goes to the third one
2nd one goes to the 1st one
3rd one goes to the 4th one
and the 4th one goes to the 2nd one
Answer: x=13
Step 1: Define isosceles triangle
In an isosceles triangle, two sides and angles are equal. The equal sides will be the legs.
Step 2: Write an equation
To write an equation we must first consider the information discussed in step 1. Since we know that the legs will be equal, we will add that to the equation twice. The base and legs will be on one side of the equation, and the perimeter will be on the other. Now we can write the equation!
x+3x-7+3x-7=77
Step 3: Combine like terms
Like terms are terms that share the same variable, or lack of. Let’s add/subtract these now.
x+3x-7+3x-7=77
7x-14=77
Step 4: Solve for x
Let’s do the last part of the equation and solve for x, our final answer.
*Rewrite equation*
7x-14=77
*Add 14 to both sides*
7x=91
*Divide 7 on both sides*
x=13
This is your answer. Hope this helps! Comment below for more questions.
Given:
year 0 - 2005 : 90,000
year 1 - 2006 : 91,200
91,200 - 90,000 = 1,200
1,200 / 90,000 = 0.013
90,000 (1+0.013)^1 ⇒ 90,000 (1.013)^1 = 91,170 OR 91,200
The best representation of the relationship between x and f(x) is choice 2.
f(x) = 90(1.013)x
√
6
⋅
√
15
=
3
√
10
Explanation: By radical laws,
√
a
⋅
√
b
=
√
a
b
.
Using this law:
√6⋅√15
=√90
√90 has 9, a perfect square, as one of its factors, so it can be simplified.
√90
=√9⋅10
=√9⋅√10
=3√10