Hank drove 1200 miles per hour in 12.5 hours. What is his average speed in miles per hour

The Smith family is shopping for a new car and they are basing their decision on color and style. Explain how many color choices

soldi70 [24.7K]

Answer:

The colors you can choose are Red Orange Yellow Green Blue Purple Pink Black White Grey Brown so there are 11 colors to choose from. But i think the 8 colors you can choose are Red Green Blue Black Grey White Brown and Yellow so im sorry if it doesn't help because these are the 8 colors i see the most

Step-by-step explanation:

6 0

2 years ago

Read 3 more answers

Give an example of a polynomial that has the asymptotes of x=5 and y=0.5

BaLLatris [955]

(x²+4x+3)/2(x²-10x+25)

the horizontal asymptote when the numerator and the denominator have the same degree (in this case, both of a degree of 2) is ration of the coefficients of the numerator and denominator. In this case, the coefficient for numerator x² is 1, and the coefficient for the denominator 2x² is 2, so the horizontal asymptote is y=1/2=0.5

the vertical asymptote is the x value. the denominator cannot be zero, if x²-10x+25=0, x would be 5, so the vertical asymptote is x=5

this is just one example. There can be others:
(2x²+5x+2)/[(4x-7)(x-5)] for another example, but this example has a second vertical asymptote 4x-7=0 =>x=7/4

5 0

3 years ago

Please tell me the answer and explain how you got it

Charra [1.4K]

Which answer :) xx just for help

8 0

3 years ago

The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The

sveta [45]

Answer:

$Perimeter = 12y$

Step-by-step explanation:

Given

$Area = 18y^2 - 8$ -- two rectangles

Required

Determine the perimeter of one of the rectangles

First, calculate the area (A) of 1 rectangle

$A =\frac{1}{2}Area$

$A =\frac{1}{2}(18y^2 - 8)$

$A =9y^2 - 4$

Express as difference of two squares

$A =(3y - 2)(3y+2)$

Area is calculated as:

$A = Length * Width$

So, by comparison:

$Length = 3y - 2$

$Width = 3y + 2$

The perimeter is:

$Perimeter = 2 *(Length + Width)$

$Perimeter = 2 *(3y-2+3y+2)$

Collect Like Terms

$Perimeter = 2 *(3y+3y-2+2)$

$Perimeter = 2 *(6y)$

$Perimeter = 12y$

8 0

2 years ago

Pigeon Hole Principle :

yaroslaw [1]

Answer:

A proof can be as follows:

Step-by-step explanation:

Let $S=\{a_{1},a_{2},...,a_{n},a_{n+1}\}$ be a set of $n+1$ integers. By the division algorithm the possible remainders when we divide by $n$ are $0,1,2,....,n-1$ . Then, each integer $a_{i}\in S$ can be written as:

$a_{i}=np_{i}+r_{i},\,\,0\leq r_{i}$

Observe that the set of remainders $\{r_{1},r_{2},...,r_{n+1}\}$ has $n+1$ elements and each element has $n$ possible values. By the Pigenhole principle at least two remainders have the same value. Suppose that this two elements are $a_{i}, a_{j}$ . Then,

$\begin{array}{c}a_{i}=np_{i}+r\\a_{j}=np_{j}+r\end{array}$

Where $r_{i}=r_{j}=r$ . Then, $a_{i}-a_{j}=np_{i}-np_{i}=n(p_{i}-p_{j})$ . Then we have that $n$ divides $a_{i}-a_{j}$ .

5 0

3 years ago