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A system of equations is shown. y = 3x - 2;. y = x^2. What are the solutions to the system of equations?

Answers

Answer 1

Answer:

Answer:

(1,1) and (2,4) are the solutions to the system of equations.

Step-by-step explanation:

The two equations are:

$y=x^(2)$ ---------1

$y=3x-2$ ---------2

Putting value of y from equation 1 in equation 2 we get:

$x^(2)=3x-2\nx^(2)-3x+2=0\nFactorising\nx^(2)-x-2x+2=0\nx(x-1)-2(x-1)=0\n(x-1)(x-2)=0\nx=1,x=2$

When x=1 : $y=x^(2)=1$

When x=2 $y=x^(2) =4$

The solutions are (1,1) and (2,4).

Answer 2

Answer:

Answer: the solutions to the system of equations are x = 2 and x = 1

Step-by-step explanation:

The system of equations given equation is

y = 3x - 2 - - - - - - - - - - 1

y = x^2 - - - - - - - - - - - - 2

Substituting 1 into equation 2, it becomes

x^2 = 3x - 2

x^2 - 3x + 2 = 0

We would apply the method of factorization in solving the equation. We will get two numbers such that when added, the result would be - 3x and when multiplied, the result would be 2x^2. The numbers are - 2x and - x. It becomes

x^2 - 2x - x + 2 = 0

x(x - 2) - 1(x - 2) = 0

(x - 2)(x - 1) = 0

x - 2 = 0 or x - 1 = 0

x = 2 or x = 1

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Help pls with answer!!!Rewrite the function in the given form.

Answers

Answer:

$g(x) = (-2)/(x-1)+5\n\n$

The graph is shown below.

=========================================================

Explanation:

Notice that if we multiplied the denominator (x-1) by 5, then we get 5(x-1) = 5x-5.

This is close to 5x-7, except we're off by 2 units.

In other words,

5x-7 = (5x-5)-2

since -7 = -5-2

Based on that, we can then say,

$g(x) = (5x-7)/(x-1)\n\ng(x) = (5x-5-2)/(x-1)\n\ng(x) = ((5x-5)-2)/(x-1)\n\ng(x) = (5(x-1)-2)/(x-1)\n\ng(x) = (5(x-1))/(x-1)+(-2)/(x-1)\n\ng(x) = 5+(-2)/(x-1)\n\ng(x) = (-2)/(x-1)+5$

This answer can be reached through alternative methods of polynomial long division or synthetic division (two related yet slightly different methods).

-------------------------

Compare the equation $g(x) = (-2)/(x-1)+5\n\n$ to the form $g(x) = (a)/(x-h)+k\n\n$

We can see that

a = -2
h = 1
k = 5

The vertical asymptote is x = 1, which is directly from the h = 1 value. If we tried plugging x = 1 into g(x), then we'll get a division by zero error. So this is why the vertical asymptote is located here.

The horizontal asymptote is y = 5, which is directly tied to the k = 5 value. As x gets infinitely large, then y = g(x) slowly approaches y = 5. We never actually arrive to this exact y value. Try plugging in g(x) = 5 and solving for x. You'll find that no solution for x exists.

The point (h,k) is the intersection of the horizontal and vertical asymptote. It's effectively the "center" of the hyperbola, so to speak.

The graph is shown below. Some points of interest on the hyperbola are

(-1,6)
(0,7) .... y intercept
(1.4, 0) .... x intercept
(2, 3)
(3, 4)

Another thing to notice is that this function is always increasing. This means as we move from left to right, the function curve goes uphill.

How do you write 914.238 in word form

Answers

Answer:

Nine hundred fourteen point two three eight

Nine hundred one ten 4 one two tenths three hundredths and eight thousandths

7th grade mathThe sales tax on an item is 6.5%. The total cost of the item is the price, p, plus the tax. Which expression represents the total cost?
A. 0.935p B. p + 1.065p C. 1.065p D. p + 6.5p

Answers

Answer:

Step-by-step explanation:

You add tax to the price not multiply

Answer:1.065p

Step-by-step explanation:

Please help!! Thank youu

Answers

Answer:

Your answer is C

Step-by-step explanation:

Supplementary angles are angles that come out to 180 degrees when added.

90+90=180

Determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001.

Answers

Answer: 9

Step-by-step explanation:

Tₙ ₊ ₁ < 0.001

1 / ( (n+1) 3 +1 ) < 0.001

(n+1)3 + 1 > 1000

(n+1)3 > 999

n+1 > 9.9966

n = 8.9966 => n = 9

I should take n = 9 to be sure that the error is less than 0.001.

9/8+7/40= and does the answer simplify

Answers

Answer:

1 3/10

Step-by-step explanation:

9/8 +7/40

Get a common denominator of 40

9/8 *5/5 + 7/40

45/40 + 7/40

52/40

Rewriting as

40/40 +12/40

1 + 3/10

1 3/10

Answer:

1 3/10

Step-by-step explanation:

First, you need to get a common denominator:

8x5=40 <-- common denominator

45/40+7/40= 52/40

yes you can simplify it.

your final answer will be: 1 3/10

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