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Alex_Xolod [135]
3 years ago
8

Used to find the total number of outcomes with coumpound events

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0
F<span>undamental Counting Principle (FCP) is the answer </span>
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PLEASE HELP, BEEN STUCK FOR AN HOUR!!
pashok25 [27]

Answer: C. 

Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.

Step-by-step explanation:

Let first work out g(x)

When x = 0

g(x) = 75

When x = 1

g(x) = 75( 1 - 50%)

g(x) = 75(0.5) = 37.5

Which is less than 43

With this, we can conclude that:

Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.

6 0
4 years ago
2 sin^2 (x) -5 sin (x) -3=0
andreyandreev [35.5K]

we have that

2sin^{2} x-5sin x-3=0

I. Rewrite the equation by substituting the expression u in for sin x.

2u^{2} -5u-3=0

II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.

2u^{2} -5u-3=0 is equal to

using a graph calculator-----> see the attached figure

(u-3)*(2u+1)=0

III. Use the zero product property to solve the quadratic equation.

(u-3)*(2u+1)=0

(u-3)=0--------------> u=3

(2u+1)=0-------- 2u=-1------> u=-1/2-----> u=-0.5

IV. Rewrite your solutions to Part III by replacing u with sin x.

sin x=3--------> is not the solution (sin x can not be greater than 1)

sin x=-0.50------>is the solution

V. Solve the remaining equations for x, giving all solutions to the equation.

sin x=-0.50

if the sine is negative

then

x belong to the III or IV quadrant

we know that

sin 30°=0.50

so

the solution for the III quadrant is

x=180°+30°-------> x=210°

the solution for the IV quadrant is

x=360°-30°------> x=330°

5 0
3 years ago
Find the ordered pair (x,y) that satisfies the system of equations<br> x + y = 15<br> x - y = 3.
xxMikexx [17]

Answer:

(9, 6)

Step-by-step explanation:

add equations together: (x + y = 15) + (x - y = 3) --> x + x + y - y = 15 + 3 --> 2x = 18

isolate the variable: 2x/2 = 18/2 --> x = 9, so the x-coordinate is 9

substitute 9 in x's place in one of the equations: 9 + y = 15

solve for y: y = 15 - 9 --> y = 6, so the y-coordinate is 6

combine x and y coordinates together: (9, 6)

5 0
3 years ago
Simplify 2/3x-4/9y+x+y
Helga [31]

.............idk............

3 0
3 years ago
Read 2 more answers
Jake recorded a special album in honor of mother’s da. His mom was so excited she purchased 40% of the copies in the store . She
iris [78.8K]

Answer:

40% of 80

= 32

Step-by-step explanation:

First there are 80 Copies.

Jake's mother Purchased 40% of them

40% of 80

= 32



7 0
3 years ago
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