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Hatshy [7]
3 years ago
6

At the end of last year mark odometer reads 74,924 miles.at the end of this year , his odometer. reads 90,405 miles. How many mi

les Did Mark drive this year?
Mathematics
1 answer:
maks197457 [2]3 years ago
6 0
Mark drove 165,329 miles year
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What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
3 years ago
Read 2 more answers
M(x)=1/x f(x)=2x-10 find the domain restriction of m(R(x))
AlexFokin [52]

Answer:

  • x ≠ 5

Step-by-step explanation:

<u>Given</u>

  • m(x) = 1/x
  • f(x) = 2x - 10

<u>Composite function</u>

  • m(f(x)) = 1/ (2x - 10)

<u>The denominator can't be zero</u>

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5 0
2 years ago
F(x)=-x^2 find f(3)……………………………
Taya2010 [7]

Answer:

- 9

Step-by-step explanation:

F(x)=-x^2 \\  \\ plug \: x = 3 \\  \\ F(3)=-(3)^2 \\  \\F(3)  =  - 9

7 0
2 years ago
Which expression is the factored equivalent of x2 - 5x + 4?
ozzi

Answer:

Step-by-step explanation:

A

5 0
3 years ago
find the equation of a straight line passing through the point (3,3) which is perpendicular to the line y=-1/2x-4
Mars2501 [29]

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{2} x - 4 ← is in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (3, 3) into the partial equation

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 2x - 3 ← equation of perpendicular line

4 0
3 years ago
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