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1 year ago

If f(x)= 2x²+5√(x-2) what is f(3)?

Mathematics

1 answer:

omeli [17]1 year ago

3 0

The output value of f(3) in the given function f(x) = 2x² + 5√(x-2) is 23.

<h3>What is the output value of f(3) in the given function?</h3>

Given the data in the question;

Function: f(x)= 2x²+5√(x-2)
f(3) = ?

To determine the output value, we replace the variable x with 3 in the given function.

f(x) = 2x² + 5√(x-2)

f(3) = 2(3)² + 5√(3-2)

We simplify

f(3) = 2(9) + 5√(1)

f(3) = 18 + 5√(1)

f(3) = 18 + 5(1)

f(3) = 18 + 5

f(3) = 23

Therefore, the output value of f(3) in the given function f(x) = 2x² + 5√(x-2) is 23.

Learn more about function composition here: brainly.com/question/20379727

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Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le

julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is $6x-3$ centimeters.

The width is $2x+6$ centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

<u>As given that the width is </u> $\frac{4}{5}$ of the length.

$2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\$

Adding both sides by $\frac{12}{5}$

$2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}$

Subtracting both sides by $2x$

$2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\$

By cross multiplication:-

$5\times14x=5\times42\\ \\ 70x=210\\ \\$

By diving both sides by 70

$x=3$

<u>Now, substituting the value:-</u>

The length = $6x-3$ cm

= $6\times3-3=18-3=15\ cm$

The width = $2x+6$ cm

= $2\times3+6=6+6=12\ cm$

Thus, length and width of canvas are 15 cm and 12 cm.

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3 years ago

Use repeated addition to find the solution to each multiplication problem. Change any improper fractions to mixed numbers. 4x1/3

Nata [24]

Answer:

$1\frac{1}{3}$

Step-by-step explanation:

Given the following question:

$4\times\frac{1}{3}$

To find the answer simply multiply the numerators and the denominators by each other.

$4\times\frac{1}{3}$
$4=\frac{4}{1}$
$\frac{4}{1} \times\frac{1}{3}$
$4\times1=4$
$1\times3=3$
$=\frac{4}{3}$
$\frac{4}{3} =4\div3=1\frac{1}{3}$
$1\frac{1}{3}$

Hope this helps.