Solve the system. x - 3y = -6 and 2x + 3y = -3

Answers

Answer 1

Answer:

Answer:

1. x = -3y - 6

2. x = (-3y - 3)/2

Step-by-step explanation:

To get x on its own, we have to add 3y to both sides. We have x = -3y - 6. For the next one, we also want to isolate the variable. So we subtract 3y and we end up with 2x = -3y - 3. Then we divide both sides by 2 and we have our answer. I hope this helps because I didn't really understand the question...

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According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it has zeros.

Answers

Answer:

The graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph $f(x)=x^2-4x+3$

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation $f(x)=x^2-4x+3$ the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, $f(x)=x^2-4x+3=0$

This is a quadratic equation, $x^2-4x+3=0$

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

$x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0$

$\Rightarrow x(x-1)-3(x-1)=0$

$\Rightarrow (x-3)(x-1)=0$

Using zero product property, $a\cdot b=0 \Rightarrow a=0\ or \ b=0$

$\Rightarrow (x-3)=0$ or $\Rightarrow (x-1)=0$

$\Rightarrow x=3$ or $\Rightarrow x=1$

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Answer:

2 roots

2 zeros

Step-by-step explanation:

If a sprinkler water 1/18 of a lawn in 1/3 hour, how much time will it take to water the entire lawn?

Answers

if it waters 1/18 of a lawn in 1/3 hours
then it waters 3/18 or 1/6 of a lawn in 1 hour
then 6 times (1/6) would be the full lawn
so 6 times (1) would be how many hours it would take

so it would take 6 hours

Describe the difference between an exact value and an approximation when finding square roots of numbers that are not perfect squares. Give an example of each.

Answers

Well, exact value is the real answer like there is not a remaining number. Approximation on the other hand is just an estimate or where the answer might be close to. Example can be square root of 25 is 5, but square root of 26 is 5 point something.

Final answer:

An exact value in square roots is the precise numerical value. It's typically computed from perfect squares. On the other hand, an approximation is given when dealing with numbers that aren't perfect squares and a precise square root cannot be calculated.

Explanation:

In mathematics, the terms exact value and approximation are often used when dealing with the concept of square roots and particularly, perfect squares.

An exact value is the precise numerical value of a square root. It's typically associated with perfect squares, as these can be exactly square rooted to a whole number. For instance, the square root of 25 (√25) is exactly 5 because 5*5 equals to 25.

On the other hand, an approximation is used when dealing with numbers that aren't perfect squares, and an exact square root cannot be found. For example, the square root of 10 (√10) cannot be expressed precisely as a whole or even as a simple fraction, so it is approximately 3.16.

It's important to understand the differencebetween these two concepts, especially when solving different mathematical problems.

Learn more about Square Roots here:

brainly.com/question/1540542

#SPJ2

What is the measure of angle A in the triangle into your answer in the box

Answers

Answer:50

Step-by-step explanation:

180-70=(2x-10)+(x+30) 110=3x+20 90=3x x=30 2(30)-10=60-10=50

if you found this helpful pls say thanks

How do you find the slope?“The cost y(in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.”

Answers

Answer:

9/1

Step-by-step explanation:

$27 for 3 hours. To find the slope, it always has to be over 1 hour because it's a unit rate. 27/3 would be 9. It makes sense too because $9 per 1 hour is the same as $27 for 3 hours.

Answer:

the slope is 9

Step-by-step explanation:

The slope is how much it cost per hour so that means if you do 27 divided by 3 then you get 9 cause 3 hours is 27 but one hour is 9

how you check if your right is by adding 9 up 3 times

9+9+9=27

Hope this Helps!

The cost of 1 movie ticket is $7.50. The cost of 2 movie tickets is $15. Based on this constant rate of change, what is the cost of 4 movie tickets?(too lazy its 10:30)
Thanks!

Answers

Four tickets would cost $30. If you get the price of 2 tickets ($15) then multiply it by 2 then you will get your answer ;)

30.00 You multiply 7.50 * 4 and it gives you 30

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