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Kruka [31]
4 years ago
12

Log 10(x + 3) – log 10(x-3) = 1

Mathematics
1 answer:
nadezda [96]4 years ago
4 0

Answer:33/9

Step-by-step explanation:

Log10(x+3)-Log10(x-3)=1

Log10((x+3)/(x-3))=1

(x+3)/(x-3)=10^1

(x+3)/(x-3)=10

Cross multiply

x+3=10(x-3)

Open brackets

x+3=10x-30

Collect like terms

10x-x=30+3

9x=33

Divide both sides by 9

9x/9=33/9

x=33/9

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The graph shows the relationship between pounds of grapes, g, and their cost, c.
UkoKoshka [18]

Step 1

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A(0,0)\ B(2,1)

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

The line in the graph represent a direct variation

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<u>the answer Part a) is</u>

For every dollar you spend, you can get 0.50 pounds

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3 0
4 years ago
Read 2 more answers
What is the y-value of the solution to the system of equations?<br> 3х + 5y=1<br> 7х + 4у = -13
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5 0
3 years ago
Can someone explain this?
Cerrena [4.2K]
<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. 324=0.042x+16

<h2>Why?</h2>

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

-18=-\sqrt{0.042x+16}

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333

Hence, we found the the missing step is:

D. 324=0.042x+16

Have a nice day!

4 0
4 years ago
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