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MrRa [10]
3 years ago
13

Which is the graph of f(x) = 5(2)x?

Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=5(2)^{x}  

This is a exponential function of the form

f(x)=a(b)^{x}  

where

a is the initial value

b is the base

In this problem

a=5

b=2

using a graphing tool

see the attached figure

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A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Zina [86]

<u>Answer: </u>

The number of ways to form the committee is formed = 637065

<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed.  There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}

Hence, the number of ways to form the committee is formed = 637065

7 0
3 years ago
Jose is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Jose need to inves
VikaD [51]

Answer:

P≈ 87784.11

Step-by-step explanation:

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8 0
3 years ago
Please rewrite 5x − 15y = − 60 in the slope intercept form
Margarita [4]
Basically solve for y
minus 5x fromboth sides
-15y=-5x-60
divide both sides by -15
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4 0
3 years ago
Which represents the solution set of 5(x+5) &lt; 85?
Maru [420]

Answer:

\Huge \boxed{X

Step-by-step explanation:

To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, find represents the solution of 5(x+5)<85.

First, you divide by 5 from both sides.

\displaystyle \frac{5(x+5)}{5}

Solve.

\displaystyle 85\div5=17

\displaystyle x+5

Next, subtract 5 from both sides.

\displaystyle x+5-5

Solve.

\displaystyle 17-5=12

As a result, the correct answer is x<12.

<h2>Hope this helps! </h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>
3 0
3 years ago
Solve x2 - 8x = 20 by completing the square. Which is the solution set of the equation?
Artyom0805 [142]

Answer:

{-2,10}

Step-by-step explanation:

x^2 - 8x = 20

Take the coefficient of x

-8

Divide by 2

-8/2 =-4

Square it

(-4)^2 =16

Add this to each side

x^2 - 8x+16 = 20+16

x^2 - 8x+16 = 36

The left hand side becomes( x + (-8/2) )^2

(x - 4)^2 = 36

Take the square root of each side

sqrt((x - 4)^2) =±sqrt( 36)

x-4 = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4±6

x = 4+6       x = 4-6

x = 10        x = -2

3 0
4 years ago
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