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1 year ago

4x²-9y², 8x³ - 27y³ and (2x-3y)²

Mathematics

1 answer:

Effectus [21]1 year ago

5 0

Step-by-step explanation:

I am only sure about the first one but as for the rest I am not really but I tried...if you need explanations to the first one feel free to ask me

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bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a li

Mrrafil [7]

Answer:

$y=-3,250t+25,000$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

<em>Find the slope m</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{t2-t1}$

substitute the values

$m=\frac{12,000-25,000}{4-0}$

$m=\frac{-13,000}{4}$

$m=-\$3,250\ per\ year$ ---> is negative because is a decreasing function

we have

$b=\$25,000$ ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

$y=-3,250t+25,000$

3 0

3 years ago

Read 2 more answers

BRAINLIESTT ASAP! PLEASE HELP ME :)

Yuki888 [10]

Let's say we placed dominoes close together such that they only fell over one way: to the right hand side. Let's call the dominoes A and B.

Domino A is to the left of domino B. If we push over domino A, then it will hit domino B to cause it to fall over as well. We have a mini chain reaction of sorts. The fall of A triggers the fall of B, but not the other way around.

For this problem, we can think of domino A as "Jillian gets a raise" and domino B as "she will buy a new car". The raise causes her to get a new car, but not vice versa.

Since we're told in the last sentence she definitely got the raise, this must mean she will definitely get the new car.

In terms of symbols, the law of detachment is stated as

If P, then Q
P is true
Therefore Q is true

Side note: some books might use the term "modus ponens" instead of "law of detachment". They're the same thing.

3 0

3 years ago

8 more than 3 times a number

IrinaK [193]

3x + 8

Because you do not know the number so it is x

7 0

3 years ago

A manufacturing company has two retail outlets. It is known that 30% of all potential customers buy

aleksandrvk [35]

Answer:

(a) A y P(A) = 0.4 (b) $\bar{B}$ y $P(\bar{B})$ =0.5 (c) $\bar{A}$ ∪ $\bar{B}$ y P( $\bar{A}$ ∪ $\bar{B}$ ) = 0.9 (d) $\bar{A}$ ∩ $\bar{B}$ y P( $\bar{A}$ ∩ $\bar{B}$ )=0.2

Step-by-step explanation:

A was defined as the event that a potential customer, randomly chosen, buys from outlet 1 in the original problem statement. We know that B denotes the event that a randomly chosen customer buys from outlet 2. So

P( $A\cap \bar{B}$ ) = 0.3, P( $B\cap \bar{A}$ ) = 0.4 and P( $A\cap B$ ) = 0.1

(a) P(A) = P( $A\cap (B\cup\bar{B})$ ) = P( $A\cap B$ ) + P( $A\cap \bar{B}$ ) = 0.1 + 0.3 = 0.4

(b) P(B) = P( $B\cap (A\cup\bar{A})$ ) = P( $B\cap A$ ) + P( $B\cap \bar{A}$ ) = 0.1 + 0.4 = 0.5

P( $\bar{B}$ ) = 1-P(B) = 1-0.5 = 0.5

(c) The customer does not buy from outlet 1 is the complement of A, i.e., $\bar{A}$ , and the customer does not buy from outlet 2 is the complement of B, i.e., $\bar{B}$ , so, the customer does not buy from outlet 1 or does not buy from outlet 2 is $\bar{A}$ ∪ $\bar{B}$ and P( $\bar{A}$ ∪ $\bar{B}$ ) = P( $(A\cap B)^{c}$ ) by De Morgan's laws

P( $(A\cap B)^{c}$ ) = 1-P(A∩B)=1-0.1=0.9

(d) The customer does not buy from outlet 1 is the complement of A, and the customer does not buy from outlet 2 is the complement of B, so we have that the statement in (d) is equivalent to $\bar{A}$ ∩ $\bar{B}$ and P( $\bar{A}$ ∩ $\bar{B}$ ) = P( $(AUB)^{c}$ ) by De Morgan's laws, and

P( $(AUB)^{c}$ ) = 1-P(A∪B)=1-[P(A)+P(B)-P(A∩B)]=1-[0.4+0.5-0.1]=1-0.8=0.2

8 0

3 years ago

Name three different pairs of fractions that have the same product

umka21 [38]

Idkidwdbwaodbowaidwaboidbwoibdowbdoibwoidbawoidboiwabdoibwodbwod

8 0

3 years ago

4x²-9y², 8x³ - 27y³ and (2x-3y)²​

4x²-9y², 8x³ - 27y³ and (2x-3y)²