PLEASE HELP! 20 POINTS

Which equation represents:

sveticcg [70]

Answer:

D

Step-by-step explanation:

The first unknown integer will be x. The second one will be y.

x^2 - xy = 100

This is the same one as

x^2 - xy - 100 = 0

6 0

3 years ago

Write all functions that are symmetric about the y-axis. Choose from the following six circular functions. yequals=sine xsinx,

horsena [70]

Answer:

Hence the function only :

Secx and Cosx functions are symmetric about y-axis

And remaining functions are not symmetric about y-axis.

Step-by-step explanation:

Given:

Six circular function as :

y= sinx ,y=cosx , y=tanx, y= cotx ,y=secx y=cosecx

To Find:

Which functions are symmetric about the y-axis

Solution:

The function is said to be symmetric about the y-axis is given by

f(x)=f(-x)

Now

1)For y=sinx i.e. f(x)=sinx

So put x=-x

f(-x)=sin(-x)

=-sinx

Hence f(x)≠f(-x)

This function is not symmetric about y-axis

2)For y=cosx ,i.e. f(x)=cosx

put x=-x

f(-x)=cos(-x)...............(as value for x and -x cos value remain the same )

=cosx

hence f(x)=f(-x)

This function is symmetric to the y-axis

3)For y=tanx i.e f(x)=tanx

put x=-x

f(-x)=tan(-x)

=-tanx

Hence f(x)≠f(-x)

This function is not symmetric about y-axis

4)For y=cotx i.e. f(x)=cotx

Using above observation,

f(x)≠f(-x)

This is not symmetric about y-axis

5)For y=secx i.e f(x)=secx

f(x)=f(-x)

This function is symmetric about y-axis.

6) for y=cosecx

f(x)≠f(-x)

This function is not symmetric about y-axis

4 0

3 years ago

See image for question.

Ostrovityanka [42]

Answer:

See below

Step-by-step explanation:

#3

P(A) = 3/8
P(B) = 2/7

(i)

P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28

(ii)

P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56

(iii)

P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56

Another way:

P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56

#4

Outcomes with two fair coins: TT, TH, HT, HH

Outcomes with normal dice: 1 to 6

a)

P(odd number) = 3/6 = 1/2

b)

P(two heads and an even number) = 1/4*3/6 = 1/8

c)

P(head and tail) = 1/2
P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)
P(head, tail and prime) = 1/2*1/2 = 1/4

d)

P(two tails and odd number) = 1/4*3/6 = 1/8

4 0

2 years ago

If yo travel56mph how far will you go in2hr15min how long does it take to cover 168 miles

Alex73 [517]

2 hr 15 min = 2 $\frac{1}{4}$ hours = 2.25 hours
"how far" means distance ... so distance = rate x time
distance = 56 x 2.25 = 126 miles

"how long" means time ... so using the same formula
168 = 56 x time
divide both sides of the equation by 56 to solve
3 hours = time

5 0

3 years ago

(5 4 – 2) × (–2) = ? a. 22 b. –14 c. 14 d. –22

tamaranim1 [39]

The correct answer is b. -14
:)

6 0

3 years ago