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romanna [79]
4 years ago
11

Condensing Logarithmic Expression In Exercise,use the properties of logarithms to rewrite the expression as the logarithm of a s

ingle quantity.See example 4.
2 In(5x + 3) + 3/2In(x + 5)
Mathematics
1 answer:
PSYCHO15rus [73]4 years ago
6 0

Answer:

In (5x+3)^2(x+5)^3/2

Step-by-step explanation:

2 In (5x+3) + 3/2 In (x+5)

In (5x+3)^2 + In (x+5) ^3/2

In (5x+3)^2(x+5)^3/2

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The average speed of Car 1 = 45 mph.
oee [108]

Answer:

\boxed{\text{0.675 h}}

Step-by-step explanation:

18 min = 0.3 h

Car 1 started 0.3 h before Car 2.

  Let t = time of Car 2. Then

t + 0.3 = time of Car 1

Distance = speed × time, and both cars travel the same distance. Then

\begin{array}{rcl}45(t + 0.3) & = & 65t\\45t + 13.5 & = & 65t\\20t & = & 13.5\\t & = & \textbf{0.675 h}\\\end{array}\\\text{Car will overtake Car 1 in } \boxed{\textbf{0.675 h}}

Check:

\begin{array}{rcl}45(0.675 + 0.3) & = & 65 \times 0.675\\45 \times 0.975 & = & 43.875\\43.875 & = & 43.875\\\end{array}

OK.

7 0
3 years ago
Read 2 more answers
Which product will result in a sum or difference of cubes?
Burka [1]
Its A sorry i didnt show you my work did it on a peice of paper
4 0
3 years ago
I'm stuck on C, please help. Thank you
jonny [76]

Step-by-step explanation:

(x {}^{4}  - x) {}^{4} -  ( {x}^{4}  - x)

x {}^{16}   +  4( {x}^{12} ) - x + 6( {x}^{8} )( {x}^{2} ) + 4( {x}^{4} )( -  {x}^{3} ) +  {x}^{4}  -(  {x}^{4}  - x)

{x}^{16}  - 4 {x}^{13}  + 6 {x}^{10}  - 4 {x}^{7}  +  {x}^{4}  -  {x}^{4}  + x

{x}^{16}  - 4x {}^{13}  + 6 {x}^{10} - 4 {x}^{7}   + x

6 0
2 years ago
Read 2 more answers
Answer of this question
Pachacha [2.7K]

Answer:

  y = tan(x +π/2)

Step-by-step explanation:

It can be helpful to start with a simple sketch of the function you have and of the tangent function. Then, you can see the relationship.

The tangent function is always rising, has vertical asymptotes at -π/2 and π/2, and has a zero crossing at x=0.

The function we want is always rising, has vertical asymptotes at x=0 and x=±π, and a zero crossing at x=-π/2.

We can create the function we want by shifting the tangent function to the left by π/2. The formula that does that is ...

  y = tan(x +π/2)

4 0
3 years ago
Inequalities <br><img src="https://tex.z-dn.net/?f=%20-%205%20%5Ctimes%20%20%2B%202%20%5Cgeqslant%20%20-%2048" id="TexFormula1"
Andrej [43]

\bf -5x+2\geqslant -48\implies -5x \geqslant -50\implies \stackrel{\textit{now, we're dividing by -5}}{\cfrac{-5x}{-5}\stackrel{\stackrel{\downarrow }{\frac{}{}}}{\leqslant}\cfrac{-50}{-5}}\implies x\leqslant 10

5 0
3 years ago
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