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3 years ago

What is the value X? If 4x + 9y = 13, AND 3x + 3 = 4

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

Answer:

x=1/3

Step-by-step explanation:

We can solve for x using the second equation, as it only has one variable.

3x+3=4

Subtract 3 from both sides

3x=1

Divide both sides by 3

x=1/3

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Problem 3.2.14a<br><br> 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

<img src="https://tex.z-dn.net/?f=%285-2i%29%5E%7B2%7D" id="TexFormula1" title="(5-2i)^{2}" alt="(5-2i)^{2}" align="absmiddle" c

defon

$21 - 20i22221233322223225222$

5 0

3 years ago

Find the volume of the composite figure

Mice21 [21]

Answer:

540m^3

Step-by-step explanation:

find volume of top + volume of bottom

bottom: l*w*h = 16*5*4 =300 m^3

top = area of side times width = area of triangle times width

area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2

multiply by width = 48*5=240m^3

add top and bottom = 300+240=540m^3

3 0

3 years ago

In AHIJ, the measure of ZJ=90°, IJ = 3.2 feet, and JH = 9.6 feet. Find the measure of

Dmitriy789 [7]

Answer:18.4

Step-by-step explanation:

7 0

3 years ago

Explain how you can use a model 4 x 1/3

Romashka-Z-Leto [24]

You can use it to find the area of something

5 0

3 years ago

Read 2 more answers