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3 years ago

Let f(x)=3^x

1 answer:

7 0

As your -2 is directly affecting the x with addition/subtraction, it is a translation horizontally. To find direction, change the sign, from negative to positive, making it go right. This means it will be translated 2 units to the right, fitting the first statement. For your +5, it is not directly affecting the x, making it a translation vertically. As it's positive, it goes up, making it a translation 5 units up, fitting statement 4. This makes your correct statements 1 and 4.

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Which of the following are equal to the rational expression below? x^2+x-6/x^2-2x-15

Y_Kistochka [10]

Hello from MrBillDoesMath!

Answer:

(x-2)/(x-5)

Discussion:

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 = (x+3)(x-5)

( x^2 + x - 6) / x^2-2x-15 = ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)

Regards,

MrB

8 0

3 years ago

Evaluate C(9, 9). A. 1 B. 0 C. 9

igor_vitrenko [27]

the formula is

n!/(n-k)!)k!

remember 0! = 1

9!/(9!-0!)9! = 9!/9! = 1

B. 1

3 0

3 years ago

Events a, b, and c in a sample space have p(a)=0.2, p(b)=0.4, and p(c)=0.1. find p(a ∪ b ∪

Julli [10]

If $A$ and $B$ are mutually independent, then $\mathbb P(A\cup B)=\mathbb P(A)+\mathbb P(B)$ and $\mathbb P(A\cap B)=0$ .

If $A$ and $C$ are independent, then $\mathbb P(A\cap C)=\mathbb P(A)\cdot\mathbb P(C)$ . Ditto for $B$ and $C$ .

The inclusion/exclusion principle says that

$\mathbb P(A\cup B\cup C)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\mathbb P(A\cap B)-\mathbb P(A\cap C)-\mathbb P(B\cap C)+\mathbb P(A\cap B\cap C)$

Since $A$ and $B$ are mutually exclusive, their intersection is the empty set. It then follows that $A\cap B\cap C$ also is the empty set, so the last probability is also 0.

Plug in what we know:

$\mathbb P(A\cup B\cup C)=0.2+0.4+0.1-0-0.2\cdot0.1-0.4\cdot0.1+0$

$\implies\mathbb P(A\cup B\cup C)=0.64$

3 0

3 years ago

Anothony has 24 squash plants and 18 corn seedlings that he plans to plant in rows on his vegetable garden. Each row will contai

sleet_krkn [62]

Anthony needs to find the greatest common factor of both 18 and 24. The reason why is because this way he can have the same number of plants in each row while having the greatest number in each row possible. The amount of plants he needs to put in each row is 6.

4 0

3 years ago

The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.Which f

vichka [17]

The answer is A.9/16.

The ratio of areas of two similar squares is the square of the ratios of their similar side lengths. Since the ratio of the smaller side length to the larger side length is 3/4, the ratio of areas of two similar squares is:
(3/4)² = 3²/4² = 9/16.

7 0

3 years ago

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