Solve for the following equation step by step and justify your steps when using an exponential property.

Mathematics

1 answer:

Flura [38]3 years ago

8 0

(7^x)^4 is equal to 7^(4x).

7^2 * 7^3 is equal to 7^(2+3) which is equal to 7^5.

7^5 / 7^(3x) is equal to 7^(5 - 3x).

you wind up with 7^(4x) is equal to 7^(5 - 3x)

this is true if and only if 4x = 5 - 3x.

You might be interested in

Simplify 3x² × 4x³ ÷ 2x

svp [43]

Answer:

6x^4

Step-by-step explanation:

4 0

3 years ago

the first and last term arithmetic sequence are 9 and 165 respectively.if the sum of all the terms of the arithmetic sequence is

diamong [38]

Answer:

40 terms

Step-by-step explanation:

Sum of n terms formula:

Sn = 1/2n(a1 + an)

Solving for n

3480 = 1/2n(9 + 165)
3480 = 87n
n = 3480/87
n = 40

3 0

3 years ago

Read 2 more answers

PLZ PLZ HELP ITS URGENT!!!!

arlik [135]

Given:
Equilateral triangle: height = 2.6 inches ; base or side length = 3 inches
Rectangle: length = 6 inches ; width = 3 inches

1 name plate has 2 equilateral triangle and 3 rectangles.
Surface area of an equilateral triangle = √3/4 * a² = √3/4 * 3² = 3.9 in²

3.9 in² x 2 = 7.8 in²

Surface area of a rectangle = 6 in * 3 in = 18 in²

18 in² x 3 = 54 in²

7.8 in² + 54 in² = 61.8 in²

61.8 in² x 30 nameplates = 1,854 in² Choice A.

7 0

3 years ago

A group of student has 20 Male and 10 females what is the ratio of female-to-male

Nitella [24]

Answer:

The ratio of female-to-male is 1:2

Step-by-step explanation:

There are 10 female students and 20 male students. If we were to divide each number by 10, we would get 1 and 2, respectively. That means for every 1 female student, there are 2 male students. The ratio would then be 1:2.

7 0

3 years ago

The systems shown have the same solution set. TRUE OR FALSE

tamaranim1 [39]

False, they have a different slope and y intercept

3 0

3 years ago

Read 2 more answers