The population of a small town in 1990 was 1,200 people, and the population in 2000 was 2,700 people. Let x represent the number of years since 1990. Let y represent the population. Which linear equation represents this data?

Answers

Answer 1

Answer: well... looking at how to question is defining things.....i think this is a multiple choice question.....

Given:
"y" represents the population
"x" represents the number of years
duration = 2000 - 1990 = 10 years
population increase = 2700 - 1200 = 1500
Now,
It says linear equation........, So, we have to assume that every ten years the population increases by a fixed amount that is 1500 people every 10 years.

Now,
Every 10 years, the population increases by 1500
Every 1 year , the population increases by 1500 / 10
= 150

Now,
The equation in determining the population is:

y = 150x + 1200

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Multiplying a number by which of the following would result in a smallest number? 10^-1 10^0 10^1 10^2

Answers

Answer:

To obtained the smallest number multiply the number with $(10)^(-1)$ .

Step-by-step explanation:

Given : $(10)^(-1),\ (10)^0,\ (10)^1,\ (10)^2$

We have to find when we multiply any number with the given number which number will give the smallest value.

Consider the given numbers,

$(10)^(-1),\ (10)^0,\ (10)^1,\ (10)^2$

We find the values of each number one by one,

1) consider $(10)^(-1)$ , using property of exponents $a^(-m)=(1)/(a^m)$ , we have

$(10)^(-1)=(1)/(10)=0.1$

2) $(10)^0$ we know any thing to power 0 is always 1.

$(10)^0=1$

3) $(10)^1$ is same as itself that is 10.

4) $(10)^2$ is $(10)* 10=100$

Thus, To obtained the smallest number multiply the number with $(10)^(-1)$ .

10^-1 would be the smallest answer...

10^-1= .1
10^0= 1
10^1= 10
10^2= 100

What is the fraction twelve twentieths in it's simplest form

Answers

We start with 12/20. Half both numbers = 6/10. Half again = 3/5.
Because 3/5 are both odd numbers and can't be made smaller without using decimals (which you don't want to use within a fraction), 3/5 is the simplest form for this fraction.

12/20 can be simplified by factoring out the ones exg
4/8=1/2 because 4/8=1/2 times 4/4 and 4/4=1

so find factors of 12 and 20
12=2 times 2 times 3
20=2 times 2 times 5
there is 2 times 2 that is common to both so
(note: 2*2 means 2 itmes 2)
12/20=(2*2)/(2*2) times 3/5=1 times 3/5=3/5
the simplest form is 3/5

Urgent stuff, pls:))).Can someone give me polynomial with a degree of 3 or higher

Answers

A polynomial is a function that, given an input $x$ , returns as output a sum of powers of $x$ , each multiplied by some coefficient. Note that 1 is a power of $x$ , since $x^0=1$

The degree of the polynomial is the highest exponent of $x$ appearing in the sum.

So. if you want to build a polynomial with degree 3 or higher, you have to:

1 - Choose the degree of the polynomial to be 3 or higher, for example 5.

2 - Consider all the powers of $x$ , with exponents up to 5: $1,x,x^2,x^3,x^4,x^5$

3- Assing a coefficient to every power. We usually write $a_n$ to indicate the coefficient of $x^n$ . You can choose any number you like. So, for example, you can choose

$a_0 = 3, a_1 = 0, a_2 = -5, a_3 = 12, a_4 = -1, a_5 = 1$

4 - Multiply each power by its coefficient, and sum all the pieces:

$a_0x^0 + a_1x^1 + a_2x^2 + a_3x^3 + a_4x^4 + a_5x^5$

$3\cdot 1 + 0\cdot x^1 + (-5)\cdot x^2 + 12\cdot x^3 + (-1)\cdot x^4 + 1\cdot x^5$

$3 -5x^2 + 12x^3 -x^4 + x^5$

The solution to an equation is 21

Answers

an solution to an equation = 21 would be something like 2p + 7

if you wanna know how to solve this
here is how:
Simplifying 2p + 7 = 21 Reorder the terms: 7 + 2p = 21 Solving 7 + 2p = 21 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2p = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 21 + -7 2p = 21 + -7 Combine like terms: 21 + -7 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7

The price of a pair of shoes is $28. The sales tax rate is 2.39 percent. What is the total amount you would pay if you bought these shoes?

Answers

Answer:

Total amount pay for the shoes is $28.67 .

Step-by-step explanation:

As given

The price of a pair of shoes is $28.

The sales tax rate is 2.39 percent.

2.39% is written in the decimal form .

$= (2.39)/(100)$

= 0.0239

Sales tax price = 0.0239 × Price of pair of shoes

= 0.0239 × 28

= $ 0.6692

= $0.67 (Approx)

Total shoes price = Price of pair of shoes + Sales tax price

Put all the values in the above

Total shoes price = $28 + $0.67

= $ 28.67

= $28.67

Therefore the total amount pay for the shoes is $28.67 .

$28.67 Multiply 28 x 0.0239 = 0.6692 round up to .67 and then add that answer to 28 and you get the answer of 28 dollars and 67 cents

When applied to a triangle, a dilation with a positive scale factor does not preserve __________. A. angle measure B. orientation C. shape D. length

Answers

d. length because it's a dilation

Answer:

The correct answer is d) length

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