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3 years ago

Y=x+5 and y=1/2x+4 solved and graphed

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

The interception point or solving for X?

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Problem 3.2.14a Show that 2^2x+1 +1 is divisible by 3.

elena-s [515]

Answer:

The given expression is divisible by 3 for all natural values of x.

Step-by-step explanation:

The given expression is

$2^{2x+1}+1$

For x=1,

$2^{2(1)+1}+1=2^{3}+18+1=9$

9 is divisible by 3. So, the given statement is true for x=1.

Assumed that the given statement is true for n=k.

$2^{2k+1}+1$

This expression is divisible by 3. So,

$2^{2k+1}+1=3n$ .... (1)

For x=k+1

$2^{2(k+1)+1}+1$

$2^{2k+2+1}+1$

$2^{(2k+1)+2}+1$

$2^{2k+1}2^2+1$

Using equation (1), we get

$(3n-1)2^2+1$

$(3n)2^2-2^2+1$

$(3n)2^2-4+1$

$(3n)4-3$

$3(4n-1)$

This expression is also divisible by 3.

Therefore the given expression is divisible by 3 for all natural values of x.

4 0

3 years ago

HELP PLS THIS IS WORTH 50 POINTS ON MY EXAM x^2 - 64 Find the factored expression

Alex

Answer:

(x-8)(x+8)

Step-by-step explanation:

Difference of squares

Basically take the square root of 64 and place the answer into the two sets of parenthesis

7 0

2 years ago

there are 12 tables and four boots in the family restaurant. each table seats 4 people. if the restaurant can seat up to 72 peop

horsena [70]

The capacity of each booth is 6 people

3 0

3 years ago

Express 9.25. as a fraction in its simplest form

Olenka [21]

Answer:

9 1/4

Step-by-step explanation:

9.25-9=0.25

0.25 =1/4

9 1/4

7 0

2 years ago

Find the measure of angle A

Ray Of Light [21]

In the fist you have to know: any angle opposite the head is equal in measurement.
so now we know one angle in the triangle it is 82
All corners of the triangle are equal 180
so we have to do this 180-82=98
so we have to collection (4x+8)+(8x-6)=98
12x+2=98
12x=96
x=8
4(8)+8=40
the answer is 40

8 0

3 years ago