1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
garri49 [273]
3 years ago
11

2. what value of b makes the following equation true

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer:

  2. 10

  3. D.  1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b = 1/a^-b

__

  \dfrac{4^8}{(4^2)^{-3}}\div 4^4=\dfrac{4^8}{4^{-6}\cdot4^4}=\dfrac{4^8}{4^{-2}}\\\\=4^8\cdot4^2=4^{10}

The value of n is 10.

__

3. Using the above rules of exponents, the expression simplifies to ...

  6^(-n+n) = 6^0 = 1

The value is 1 for any n.

You might be interested in
I NEED HELP IDENTIFYING THE SLOPE PLEASE !!! Pic attatched !!!!
Alexus [3.1K]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)

m = \frac{1-4}{5-2}  = \frac{-3}{3} = - 1 ← negative slope

Repeat

with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)

m = \frac{0-8}{-7+7} = \frac{-8}{0}

Division by zero is undefined, thus slope is undefined.

Repeat with

(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)

m = \frac{-3+3}{-4-6} = \frac{0}{-10} = 0 ← zero slope

Repeat with

(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)

m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4} ← positive slope

7 0
3 years ago
Which expression is equivalent to - 14 -6?<br> A.-14 + (-6)<br> B.-14 -6 <br> C.14 +6<br> D.14 +(-6)
kykrilka [37]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Use the properties of exponential and logarithmic functions to solve each system. Check your answers.
BlackZzzverrR [31]

The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

2x - y = e

To Check Results,

Taking logarithm both sides,

log (2x - y) = log e

log (2x - y) = 1

Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

e^(log (x + y) = e^(3 log 2)

x + y = e^(log 8)

x + y = 8

To Check Results,

Taking logarithm both sides,

log (x + y) = log 8

log (x + y) = 3 log 2

Thus, the answer is verified.

Hence, the solved expression is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

To learn more about the logarithmic and exponential functions, visit here:

brainly.com/question/13473114

#SPJ4

3 0
1 year ago
Write an equation to show the relationship between a and c when a = b + 9 b = c - 2​
ICE Princess25 [194]

Given:

The equations are:

a=b+9

b=c-2

To find:

The equation that show the relationship between a and c.

Solution:

We have,

a=b+9               ...(i)

b=c-2               ...(ii)

Equation (i) can be rewritten as:

a-9=b              ...(iii)

From (ii) and (iii), we get

a-9=c-2

a-c=9-2

a-c=7

Therefore, the required equation is a-c=7.

4 0
3 years ago
Which of the following correlation coefficient would represent the Strongest correlation? A) 0.12 B) -0.56 C) -0.91 D) 84.
Alina [70]

Answer:

C) -0.91

Step-by-step explanation:

A indicates a very slight positive correlation; not a strong one. B indicates a moderate negative correlation, but again, not a strong one. D indicates a strong correlation, but it is less than C, which I will get to. The answer is C, and because it is closest to ± 1, it is the strongest correlation.

4 0
3 years ago
Other questions:
  • At what point does she lose contact with the snowball and fly off at a tangent? That is
    10·1 answer
  • 75% of a number is 120. What is 40% of the number? A. 36 B. 64 C. 138 D. 225
    12·2 answers
  • How much do you save per class by taking the longer-term class: Weight Training, $200 for 18 weeks (54 classes) or $350 for 36 w
    8·2 answers
  • Ian picked 5 times as many berries as Michelle.Joe picked 7 times as many berries Michelle.Together they picked 208 berries.How
    6·2 answers
  • choose all of the terms that describe the set of lines. transversal parallel lines perpendicular lines intersecting lines
    15·1 answer
  • Find the percent of change from the first value to the second. 72: 81 -
    8·1 answer
  • I need help plzzzzz this is really confusing
    12·2 answers
  • How to find area of a square room if it's length is 5cm​
    9·1 answer
  • Y= square root of x-7
    8·1 answer
  • -12.6x -4.9x = - 154
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!