Answer:
g(x) = 4^x + 1.
Step-by-step explanation:
The graph of f(x) = 4^x passes through the point (0, 1) because when x = 0, 4*0 = 1. Also when x = 1, 4^x= 4. So it passes through (1, 4).
For g(x) we have corresponding points (0, 2) and (1, 5).
So we see that g(x) is a similar graph but it has been translated up 1 unit.
Answer: 
Step-by-step explanation:
Given the following expression shown in the picture:

You need to use a process called "Ratinalization".
By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.
Then, in order to simplify the expression, you can follow the following steps:
<em>Step 1</em>. You need to multiply the numerator and the denominator of the fraction by
, which is the conjugate of the denominator
.
<em>Step 2</em>. Then you must apply the Distributive property in the numerator.
<em>Step 3</em>. You must apply the following property in the denominator:
Therefore, applying the procedure shown above, you get:

<em>Step 4</em>. You can observe that the expression can be simplified even more. Since:

You get:

Answer:
a) -12
b) 8+11x+11b-3x^2-3b^2-6xb
c)-52
Step-by-step explanation:
in a) we have to substitute the value of x with 5
in b) we substitute the value of x with (x+b) and then simplify
in c) just have to substitute x with -3
(2x - 1)(x + 2y - 3) =
2x(x + 2y - 3) + (-1)(x + 2y - 3) =
2x^2 + 4xy - 6x - x - 2y + 3 =
2x^2 + 4xy - 7x - 2y + 3
Answer:
1. Radius 18in Diameter 38in Circumference 36in
2. Radius 9in Diameter 34in Circumference 18in
3. Radius 6in Diameter 36in Circumference 12in
4. Radius 7in Diameter 26in Circumference 14in
5. Radius 5in Diameter 8in Circumference 10in
6. Radius 11in Diameter 33in Circumference 22in
7. Radius 6in Diameter 20in Circumference 12in
8. Radius 7in Diameter 16in Circumference 14in
9. Radius 2in Diameter 12in Circumference 4in
Step-by-step explanation:
Tip: When finding the circumference of a circle, just multiply the radius by 2!
Hope I get my brainliest even tho I couldn't get all of it!