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2 years ago

What is the variable of f(3) in the function below? f(x) =2^x

Mathematics

2 answers:

Lyrx [107]2 years ago

7 0

$\frak{Hi!}$

$\orange\hspace{300pt}\above2$

We have the expression -:

$\boldsymbol{\sf{f(x)=2^x}}$ , and we're asked to find

$\boldsymbol{\sf{f(3)}}$ .

To do that we put in the value for x (3)-:

$\boldsymbol{\sf{f(3)=2^3}}$ .

Evaluate-:

$\boldsymbol{\sf{f(3)=2\times2\times2=8}}$

$\orange\hspace{300pt}\above3$

Lady bird [3.3K]2 years ago

4 0

Hello !

We replace x by 3.

$f(3) = {2}^{3} = 8$

Have a nice day ;)

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mote1985 [20]

18sqrt(15)

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6 0

2 years ago

Tickets to a circus cost $38.50 each. the glee club bought 70 tickets for saturdays circus and 21 tickets for sunday's circus. h

vagabundo [1.1K]

Answer:

$878.5

Step-by-step explanation:

that is if the tickets for saturday & sunday are both $38.50

7 0

2 years ago

Triangle ABC has vertices A(-3,0) B(0,6) C(4,6). Find the equations of the three medians of triangle ABC

Mariana [72]

Answer:

1. $y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}$

2. $y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}$

Step-by-step explanation:

A(−3, 0), B(0, 6), and C(4, 6)

using the midpoint formula: $(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$ we can find all of their midpoint which is necessary to complete question 1 and 2

Mid AB=(-1.5, 3), Mid BC=(2, 6), Mid AC=(0.5,3)

Next, we have to find the slope of from the vertex and the midpoint of each side. We use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$ .

You would get -6, 6/5, and 6/11.

Next you substitute in the coordinates for the equation of each for example: y=-6x, you switch in the set of cords AB which is (-1.5, 3). 3=-6(-1.5)+z and find that z=6, so the equation is y=-6x+6. As for the rest, repeat the same process until you find all 3 cords. You should get an answer of $y=-6x+6, y=\frac{6}{5} x+\frac{18}{5}, y=\frac{6}{11} x+\frac{42}{11}$

For question 2,

The line has to be perpendicular bisector to the midpoint, signifying that it has to split 2 angles into congruent angles and a side into half. In order to do that we need to first find the opposite reciprocal of each side's slope. Which means we need to once again use the slope formula and get the opposite reciprocal by $-\frac{1}{slope}$ . For all the opposite reciprocal slopes you get will be incorporated into the final formulas. That gives us the slopes of -1/2, 0 and -7/6. Then do the same process of matching cords with these incomplete equations and you can find the final equations of $y=-\frac{1}{2} x+2\frac{1}{4} , x=2, y=-\frac{7}{6}x+\frac{43}{12}$

I hope that helped with your question!! :)

Also I'm an RSM student too and I didn't know how to do them before so I searched it up.

6 0

2 years ago

Consider a manufacturing process with a quality inspection station. In the past, 10% of parts are defective. As soon as one defe

Kruka [31]

Answer:

0.9

Step-by-step explanation:

10% is equal to 0.1

The probability of having defective parts in a pile of parts is 0.1

Before the process is stopped, 1 part has to be defective.

In a pile of 9 parts, the probability that a part is defective 0.1 of 9, which is = 0.9 hence, approximately one (1) part will be defective in a pile of 9 parts and the process will be stopped.

Since there was no defective part among the first 6 parts, P(d) was 0

That is, probability of a defective part was zero.

7 0

2 years ago

(x-3)(x+6) multiply and simplify your answer

enot [183]

Answer:

$x^{2}$ + 9x +18

Step-by-step explanation:

multiply the parentheses together (x × x)=x² and x×6=6x then do 3×x which will equal 3x and then multiply 3 and 6 which is 18

now combine like terms (x²+6x+3x+18)

6+3=9 so now you will have x²+9x+18

5 0

3 years ago