If point P is at the center of the circle, and the length of equals 12 inches, which is the length of AP?

If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2

Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

$h(x)=f\circ g(x)$

Here,

$h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}$

We need to find the value of g(x):

$f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3$

Hence, the value of g(x) is x+3.

3 0

3 years ago

Using appropriate properties find: 2/3 × 3/4 + 3/7 × 3/4

Viktor [21]

Answer:

$\frac{23}{28}$

Step-by-step explanation:

$\frac{2}{3} \times \frac{3}{4} + \frac{3}{7} \times \frac{3}{4}$

$= > \frac{3}{4} ( \frac{2}{3} + \frac{3}{7} )$

$= > \frac{3}{4} \times \frac{23}{21}$

Reducing 3 from numerator and denominator,

$= > \frac{23}{4 \times 7} = \frac{23}{28}$

3 0

2 years ago

The Baltimore Zoo feeds their elephants a combination of fruit and grass. The zookeeper would like to create a model to represen

Anika [276]

A function can be represented on a table and on a graph.

The models of the linear relationship between f(x) and x are:

$\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}$

The given parameters are:

$\mathbf{Start = 22}$

$\mathbf{Additional = 30}$

So, the function that models the linear relationship is:

$\mathbf{f(x) = Start + Additional \times x}$

Substitute known values

$\mathbf{f(x) = 22 + 30 \times x}$

Evaluate all products

$\mathbf{f(x) = 22 + 30x}$

Rewrite as:

$\mathbf{f(x) = 30x + 22}$

By comparing the above function to the list of options, we have the true options to be:

$\mathbf{A.\ f(x) = 30x + 22}\\\mathbf{C.\ The\ table}\\\mathbf{F.\ The\ graph}$

Read more about linear functions at:

brainly.com/question/20286983

4 0

2 years ago

Please solve these asap. 50 points and will be marked as brainliest

Sergeu [11.5K]

Answer:

Hi myself Shrushtee.

Step-by-step explanation:

We are unable to see your answer clearly post it by scanning it ok post it again.

4 0

2 years ago

Please help 6TH GRADE MATH HELP ME OUT PLEASE

wel

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▹ Answer

▹ Step-by-Step Explanation

$\frac{1}{4} + \frac{1}{10} \\= Common denominator is 20\\\\\frac{1}{4} = \frac{5}{20} \\\\\frac{1}{10} = \frac{2}{20} \\\\\frac{5}{20} + \frac{2}{20} \\\\= \frac{7}{20}$

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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7 0

3 years ago

Read 2 more answers