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3 years ago

Consider the function rule f(x)=7X-6 Find f(5)

Mathematics

2 answers:

Ann [662]3 years ago

3 0

Answer:

Step-by-step explanation:

AfilCa [17]3 years ago

3 0

Hi,

f(5) = 7 * 5 - 6 = 35 - 6 = 29.

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What is the inverse of y= 10^x +8?

shepuryov [24]

Answer:

$x = \log_{10}(y - 8)$ , where $y > 8$ .

Step-by-step explanation:

The question is asking for an expression for $x$ in terms of $y$ .

The first step is to move as many constants away from the side with $x$ as possible. In this question, that could be done by subtracting $8$ from both sides of the equation.

$y - 8 = 10^{x} + 8 - 8$ .

$y - 8 = 10^{x}$ .

Notice how $x$ is in the position of an exponent. Logarithms could help move $x$ out of that position.

For any base $b > 0$ :

$\log_{b} b^{x} = x\, \log_{b}\, b = x$ .

In this question, $10$ would be the base. That is: $b = 10$ .

Take the logarithm (with $10$ as the base) of both sides of the equation $y - 8 = 10^{x}$ :

Left-hand side: $\log_{10} (y - 8)$ .
Right-hand side: $\log_{10} \left(10^{x}\right) = x\, \log_{10}\left(10\right) = x$ .

Equate both sides to find an expression for $x$ :

$x = \log_{10}(y - 8)$ .

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3 years ago

A woman is rowing a boat across a 60 wide river from west to east. She can row at 2 mph in still water, but the river's current

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Answer:

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Step-by-step explanation:

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2 years ago

(–2) + (–20) step by step

aalyn [17]

(-2) +(-20) =-22
2+20=22 make result negative

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2 years ago

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23. Find the value of x.<br> (5x + 4)' X (8x - 71)

r-ruslan [8.4K]

Answer:

x = 71/8

Step-by-step explanation:

Solve for x:

5 X (8 x - 71) = 0

Divide both sides by 5 X:

8 x - 71 = 0

Add 71 to both sides:

8 x = 71

Divide both sides by 8:

Answer: x = 71/8

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3 years ago

Solve step by step 3(2x-4)=8

olganol [36]

Answer:

x = 3.33... or 10/3

Step-by-step explanation:

3(2x - 4) = 8

distribute the 3 into the parentheses

3 • 2x = 6x

3 • -4 = -12

6x - 12 = 8

add 12 to both sides

6x = 20

divide both sides by 6

x = 3.33... or 10/3

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3 years ago

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