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2 years ago

Which methods correctly solve for the variable x in the equation 7 - x =18?

Mathematics

1 answer:

ollegr [7]2 years ago

7 0

The first and seconds answer would be correct, the other answers do not solve for x explicitly (by itself) or they solve for x incorrectly

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10. Explain why log328 is between 3 and 4.

maw [93]

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

8 0

3 years ago

For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

sergey [27]

Answer:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{7}{2}x - 16$

Required

The difference quotient for h

The difference quotient is calculated as:

$\frac{f(x + h) - f(x)}{ h}$

Calculate f(x + h)

$f(x) = \frac{7}{2}x - 16$

$f(x+h) = \frac{7}{2}(x+h) - 16$

$f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16$

The numerator of $\frac{f(x + h) - f(x)}{ h}$ is:

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)$

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16$

Collect like terms

$f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16$

$f(x + h) - f(x) = \frac{7}{2}h$

So, we have:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h$

Rewrite as:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}$

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

5 0

2 years ago

Select all that have a value of 0. Cost cos 0 sin 0 sin 34 tan x DONE

olga nikolaevna [1]

Answer:

sin 0

and tan x when x =0

will provide a value of 0

8 0

3 years ago

Read 2 more answers

If one angle of a triangle measures 100 degrees and another

elena-s [515]

Answer:

Step-by-step explanation:

7 0

3 years ago

Find the fractional part of a circle corresponding to 144 degrees

ruslelena [56]

If you change the percentage to a decimal fraction then Multiply 360 *the number of degrees in a circle* by the decimal fraction. The result is the angle measure of your pie slice For example, 10% would be a 36 degree angle. 25% would be a 90 degree angle. 17.5% would be 360 times .175 = 63 degrees

6 0

3 years ago

Which methods correctly solve for the variable x in the equation 7 - x =18?​

Which methods correctly solve for the variable x in the equation 7 - x =18?