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Alborosie
3 years ago
7

PLEASE HELP, 5 STARS!!!

Mathematics
2 answers:
notka56 [123]3 years ago
7 0

Answer:

option D

Step-by-step explanation:

Domain is the set of x values for which the function is defined

To find domain restriction first we simplify the given expression

Factor both numerator and denominator

\frac{y^2-3y-40}{y^2+9y+20}

y^2-3y-40=(y-8)(y+5)

y^2+9y+20=(y+4)(y+5)

Replace the factors in our expression

\frac{(y-8)(y+5)}{(y+4)(y+5)}

Both top and bottom have y+5, so we cancel it out

\frac{(y-8)}{(y+4)}

To find restriction for y , set the denominator =0 and solve for y

y+4=0

so y=-4

y=-4 makes the denominator 0

So, y not equal to -4

Grace [21]3 years ago
6 0
Y=-4 is one of your answers
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Please help me, will mark!!
BabaBlast [244]

Answer:

613 meters

Step-by-step explanation:

1)

cos(50 degrees)=324/x

x*cos(50 degrees)=324

x=324/cos(50 degrees)

x=around 504.1

2)

cos(35 degrees)=324/x

x*cos(35 degrees)=324

x=324/cos(35 degrees)

x=around 395.5

now lets find the distance in between the two people:

Distance from Shively to the tower

tan(50 degrees)=x/324

x=324*tan(50 degrees)

x= around 386.1

Distance from Sparzak to the tower

tan(35 degrees)=x/324

x=324*tan(35 degrees)

x=around 226.9

total distance=386.1+226.9=613 meters

8 0
3 years ago
In order for you to answer the question correctly, please use the following image down below:
adell [148]

Answer:

36

Step-by-step explanation:

24^2 = (12)(12+x)

576 = 144 + 12x

432 = 12x

36 = x

7 0
2 years ago
Lin counts 5 bacteria under a microscope. She counts them again each day for four days, and finds that the number of bacteria do
Liula [17]

Answer:

The population of bacteria can be expressed as a function of number of days.

Population = \[5*2^{n-1}\] where n is the number of days since the beginning.

Step-by-step explanation:

Number of bacteria on the first day=\[5 * 2^{0} = 5\]

Number of bacteria on the second day = \[5 * 2^{1} = 10\]

Number of bacteria on the third day = \[5*2^{2} = 20\]

Number of bacteria on the fourth day = \[5*2^{3} = 40\]

As we can see , the number of bacteria on any given day is a function of the number of days n.

This expression can be expressed generally as \[5*2^{n-1}\] where n is the number of days since the beginning.

6 0
3 years ago
Rachelle has $6.30 in nickels and quarters in her coin purse. The number of nickels is twice the number of quarters. How many co
timurjin [86]

Each group of 2 nickels and 1 quarter has a value of $0.35. Rachelle has $6.30/$0.35 = 18 such groups.

Rachelle has 18 quarters and 36 nickels.

5 0
2 years ago
What are the x-intercepts of y=x^2+2x-15
Sedbober [7]

Answer:

(-5,0) and (3,0)

Step-by-step explanation:

Think about it.

What two numbers multiply to -15 and add up to 2?

The answers are 5 and -3.

So plug that into the factored form of a parabola.

y=(x+5)(x-3)

To find the x-intercepts, plug in 0 for y.

(x+5)(x-3)=0

Since we are multiplying, at least one of the terms has to equal 0.

x+5=0 \\ x-3=0 \\ \\ x=-5,3

So the x-intercepts are (-5,0) and (3,0).

8 0
2 years ago
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