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trasher [3.6K]
3 years ago
12

How does 3^ + 3^+1 = 3^ + 3×3?? Please help me!!

Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

3^n + 3^{n+1} = 3^n + 3×3^n

When you have for example:   3²×3³ then you have:

(3×3)×(3×3×3) = 3×3×3×3×3 = 3⁵ which is  3²⁺³

It works with any exponents, so:

if  3²⁺³ = 3²×3³ then   3ⁿ⁺¹ = 3ⁿ×3¹ = 3ⁿ×3 = 3×3ⁿ

and so:

3ⁿ + 3ⁿ⁺¹ = 3ⁿ + 3×3ⁿ

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What is the solution of 3x + 5 = 2x – 7? the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7 the
Nitella [24]

What is the solution of 3x + 5 = 2x – 7?

the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7

the x-coordinates of the x-intercepts of the lines y = 3x + 5 and y = 2x – 7

the y-coordinate of the intersection point of the lines y = 3x + 5 and y = 2x – 7

the y-coordinates of the y-intercepts of the lines y = 3x + 5 and y = 2x – 7

It's the first choice.  If we solve the simultaneous system

y = 3x + 5

y = 2x – 7

the x coordinate (there's only one) of the meet of the two lines tells us the value of x which satisfies 3x+5=2x-7

8 0
3 years ago
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Write an equation of the line that passes through (1,5) and is parallel to the line y=-4x+2.
jeka94

9514 1404 393

Answer:

  y = -4x +9

Step-by-step explanation:

The same slope-intercept equation can be used, but with a different y-intercept. That new y-intercept can be found from the given point (x, y) using the formula ...

  b = y -mx

  b = 5 -(-4)(1) = 9

So, the equation with the new y-intercept is ...

  y = -4x +9

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3 years ago
1. Assume the reserve requirement is 10%. First National Bank receives a deposit of $5,400. If there is no slippage, how much co
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4 years ago
Geometry math question
Scorpion4ik [409]

Hi!

You can find the value of x by the fact that as triangle CBE and CKE are congruent. The reason you can see the triangles are congruent is because of the AAS congruence postulate, where if two angles are the same and a non included side are congruent, the triangles are similar. In this case, angle CKE and angle CBE, are congruent, and CEB and CEK are congruent as well. (They're marked out as congruent.) The line CE is congruent to the other CE in the other triangle, because they are the same line.

Since you know the triangles are congruent, according to CPCTC (corresponding parts in congruent triangles are congruent), and line CK is congruent to line CB, line CK is congruent to CB, and has the same measure.

Therefore, you can set the measures of CB (5x - 3) and CK (3x + 1) equal to another and solve for x.

5x - 3 = 3x + 1

5x -3 + 3 = 3x + 1 + 3

5x = 3x + 4

5x - 3x = 3x - 3x + 4

2x = 4

2x / 2 = 4/2

x = 2, or choice C.

Hope this helps!

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4 years ago
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No it’s not -7 it’s = 2x + 20

i hope it helps!
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