Which is f(5) for the function -2x + 2x-3?

Mathematics

2 answers:

nata0808 [166]2 years ago

6 0

The anwser is -3
hope this helps

slava [35]2 years ago

3 0

Answer:

f(5)=-3

Step-by-step explanation:

5 is the value of x. So all you would have to do is substitute x with 5 in the equation. Once you do that you would get f(5)=-2(5)+2(5)-3. Then use distributive property which is basically the number on the left side of the parenthesis multiplying the number inside of the parenthesis. Once you do that you'll get f(5)=-10+10-3. Then all you have to do is solve the equation. Once you solve it, you should get an answer of f(5)=-3. Hope this helped. :)

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Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$